ANALYSIS OF HEAVY ION RADIATION DAMAGE IN TITANIUM AND TITANIUM 
ALLOYS
 
By
 
 
Aida Amroussia
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
A DISSERTATION
 
Submitted to
 
Michigan State University
 
in partial fulfillment of the requirements
 
for the degree of
 
Materials Science and Engineering 
 
Doctor of Philosophy
 
2020
 
 
 
 
ABSTRACT
 
ANALYSIS OF HEAVY ION RADIATION DAMAGE IN TITANIUM AND TITANIUM 
ALLOYS
 
By
 
Aida Amroussia
 
Titanium 
(Ti) 
alloys are widely used in the biomedical, aerospace and automobile 
industry 
thanks to 
their high specific strength, excellent fatigue and creep properties, corrosion 
resistance, high workability, good weldability as well as their commercial availability.
 
 
Ti
-
alloys 
are 
also 
currently investigated for several applications in the nuclear industry and especially as a 
structural material for the beam dump for the 
Facility for Rare Isotope Beams (FRIB)
 
at 
Michigan State University
 
due to their 
low activation in 
radioactive environments.
  
This 
dissertation investigate
s
 
the effect of heavy ion radiation damage on the microstructure and the 
nano
-
hardness in Ti and Ti alloys, namely commercially pure (CP) Ti and 
a 
two
-
-
6Al
-
4V
 
alloy processed 
through
 
two different methods:
 
conventional powder metallurgy rolling
 
(PM)
 
and additive manufacturing
 
(AM)
.
 
T
he microstr
u
ctures of the as
-
received materials 
a
re characterized using scanning 
electron microscopy (SEM) and electron backscattered diffraction (
EBSD
)
.
  
N
ano
-
indentation
 
was performed on samples irradiated 
ex
 
situ
 
with Ar 
ion 
beams
 
at 30
 
 
and 350
 
investigate the change in mechanical properties in the three materials.
  
Additionally, a
 
study of 
the evolution of radiation damage in CP Ti irradia
ted 
in situ
 
with 
k
r
ypton (Kr)
 
ion beams was 
performed at the IVEM
-
Tandem facility at Argonne National Laboratory
, USA
.
 
 
The results of 
the observations of the nucleation and gro
wt
h of dislocation loops 
using transmission electron 
microscopy (TEM) 
a
re
 
repor
ted.
 
 
 
 
R
adiation hardening was 
observed in all materials irradiated 
ex situ
 
at 
30
 
 
360
 
This hardening was insensitive to electronic excitation and was caused by ballistic effects.  A 
strong dose dependence was observed 
main
ly for the PM 
 
Ti
-
alloy.
  
The resistance to 
radiation hardening in the AM 
Ti
-
alloy was higher than 
that 
for the PM rolled 
alloy due to the 
significant 
-
phase 
grain refinement. 
 
 
The current study is the first to quantify the radiation
-
induced dislocation loop evolution 
at 
different temperatures and doses in Ti and AM Ti
-
6Al
-
4V (wt.%).
 
 
The 
primary
 
mechanism of 
loop growth was coalescence and 
the
ir
 
size increased 
proportionally with the irradiation dose
.
  
In 
situ
 
TEM irradiation observation
 
show
s
 
that 
c
-
component 
loops were 
only observed after 
reaching a threshold incubation dose (TID).
  
In
 
CP Ti
, these loops nucleated at
 
much
 
lower doses
 
than Zr, and the TID decreased with increasing temperature: 1.4 dpa, 0.6 dpa and 0.24 dpa for 
. 
 
The TID for AM Ti
-
6Al
-
4V
 
(wt.%)
 
at 360
 
 
was 
lower than for 
CP Ti,
 
confirming previous observations where alloying
 
elements
 
assist
ed
 
c
-
component
 
loop nucleation
.  T
he dispersed barrier hardening model 
i
s
 
used 
to analyze structure
-
mecha
nics relationships after irradiation in
 
CP Ti
.
  
A good agreement 
between 
the 
experimental measurements of the hardening in irradiated C
P
 
Ti and the calculated 
cont
r
ibutions from 
dislocation 
loops 
i
s
 
found. 
 
Through this work, an improved understanding of 
t
he influence of radiation
-
induced 
dislocation loops on the mechanical properties, and in particular
,
 
the hardness
 
of
 
Ti alloys as a 
function of the irradiation conditions and the alloy microstructure 
i
s gained.  The
se
 
insights 
can 
further the dev
elo
pment of 
radiation
-
resistant 
Ti
-
alloys for 
use in radioactive environments
. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Copyright by 
 
AIDA AMROUSSIA 
 
202
0
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
v
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
vi
 
ACKNOWLEDGMENTS
 
 
I 
want
 
to express my 
sincere
 
gratitude to those who supported me academically 
and
 
personally in the past few years.
  
First, I would like to thank my advisor
, Prof. Carl Boehlert,
 
for 
his support and guidance during the different research stages and for helping me become a better 
technical writer.  I would also like to acknowledge the invaluable help I received from my 
committee members Dr
.
 
Frederique Pellemoine, Prof
.
 
David S. Gru
mmon and Prof
.
 
Thomas 
Bieler.  I feel 
incredib
ly fortunate to have started my Ph
.D.
 
journey with an internship with Dr. 
Pellemoine
,
 
who continuously supported and believed in me.  I am
 
also
 
thankful to Prof
.
 
Grummon for his help
 
in 
structuring my ideas and
 
developing my technical writing skills.  
I want 
to
 
express my deep gratitude for Prof
.
 
Wolfgang Mittig
,
 
who
,
 
while not in my committee, has 
been an invaluable source of inspiration, support and wisdom. 
 
I would like to also thank
 
the members of the metal 
group, professors and students who 
have helped me grow as a researcher.  I want to especially express my deep thanks to Ms. Uche 
Okeke whose friendship has been an unfailing source of encouragement.  I also would like to 
thank 
Dr. Per Askeland and Dr. Ed D
rown for 
their
 
help 
with instruments
 
at 
The Composite 
Materials and Structures Center
, MSU
.  
I 
want
 
to recognize the valuable help 
in operating TEMs 
that I 
received from Dr. Alicia Withrow and
 
Dr. Xudong Fan from The Center for Advanced 
Microscopy
, MSU
.
 
I would like to acknowledge that this work 
was partially supported by the U.S. 
Department of Energy, Office of Science under Cooperative Agreement DE
-
SC0000661. This 
work was also supported by Michigan State University under the Strategic 
Partnership Grant 
-
 
 
 
The 
in situ
 
TEM irradiations 
at 
the 
Intermediate 
 
 
vii
 
Voltage Electron Microscopy (IVEM)
-
Tandem Facility
, Argonne National Laboratory, IL, USA, 
and post
-
irradiation characterization 
at Oak Ridge Nat
ional Laboratory (ORNL), TN, USA 
were 
supported by the U.S.
 
Department of Energy, Office of Nuclear Energy under DOE Idaho 
Operations Office Contract DE
-
AC07
-
 
051D14517 as part of a Nuclear Science User Facilities 
experiment. 
 
The use of the Center for Nan
oscale Materials
 
(CNM)
, an Office of Science user 
facility, was supported by the U.S. Department of Energy under Contract No. DE
-
AC02
-
06CH11357. 
 
This work would not
 
have
 
been 
possible
 
without the
 
valuable
 
collabor
a
tions we 
have 
established over the years.
  
I would like to thank our collaborators from GANIL
-
CIMAP
,
 
France, 
Dr. Isabelle Monet, Dr. Clara Grygiel and Dr. Florent Durantel for their assistance during 
irradiation experiments and valuable contributions later on through discussions.  I am
 
also
 
thank
ful to our collaborators at the Notre 
D
ame 
U
niversity
, ID, USA,
 
Prof
. Tan Ahn, 
Prof
. 
Daniel Robertson and 
Prof
. 
Edward Stech
, 
for 
helping us perform
 
part of our 
ex situ
 
irradiation 
experiments
 
at their facility
.
  
Next, I would like to thank the staff membe
rs 
at the 
IVEM
-
Tandem 
Facility
, 
Dr. Memei Li, Dr. Mark Kirk, 
Mr. 
Pete Baldo, 
Mr. 
Ed Ryan, Dr. Jing
 
Hu and Dr. Wei
-
Ying Chen for their support during 
in situ
 
TEM experiments.  I would 
like t
o acknowledge the 
help 
of
 
Dr. Haihua Liu from the 
CNM 
for his help during 
the 
post
-
irradiation characterization.  I 
would also like to thank Dr. Keith Leonard and Dr
.
 
Kurt Terrani for offering me 
excellent
 
learning opportunit
ies
 
through 
t
he Nuclear Engineering Science Laboratory S
ynthesis (NESLS) 
program
 
at ORNL.  I would like to express my gratitude to all researchers and staff at ORNL 
for 
their valuable help
 
and advice during my visits
.
 
I would not have survived the Ph. D process 
without the emotional support of the many 
dear 
fri
ends I 
have
 
in Tunisia, France and the US. 
 
Our friendships nourished my soul and helped 
 
 
viii
 
me grow tremendously.  
I am forever grateful that our paths crossed
.
 
Finally, my deepest gratitude goes to my family. 
 
Your unwavering support over the 
years and your 
unconditional love ha
ve
 
always encouraged and inspired me.  Yemna, Ammar, 
Nada and Maha, this Ph
. D.
 
is dedicated to you.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
ix
 
TABLE OF CONTENTS
 
 
L
IST OF TABLES
 
................................
................................
................................
........................
 
xii
 
L
IST OF FIGURES
 
................................
................................
................................
.....................
 
xiv
 
KEY TO SYMBOLS AND ABREVIATIONS
 
................................
................................
..........
 
xxv
 
CHAPTER
 
1: 
INTRODUCTION
 
................................
................................
................................
...
 
1
 
1.1. MOTIVATION
 
................................
................................
................................
........................
 
1
 
1.2. WORK PERFORMED AND DISSERTATION STRUCTURE
 
................................
.............
 
4
 
CHAPTER 2
:
 
LITERATURE REVIEW
 
................................
................................
........................
 
7
 
2.1. TITANIUM AND TITANIUM ALLOYS
................................
................................
...............
 
7
 
2.1.1. CP Ti
 
................................
................................
................................
.........................
 
9
 
2.1.2. Ti
-
6Al
-
4V
 
................................
................................
................................
...............
 
10
 
2.1.3. Additive manufacturing (AM) of Ti
-
6Al
-
4V
 
................................
..........................
 
12
 
2.2. RADIATION DAMAGE IN MATERIALS
 
................................
................................
..........
 
13
 
2.2.1. Radiation damage event
 
................................
................................
..........................
 
13
 
2.2.
2. Radiation
-
induced diffusion
................................
................................
....................
 
15
 
2.2.3. Influence of the irradiating particle
 
................................
................................
.........
 
18
 
2.2.4. Irradiation damage in 
hcp
 
metals
 
................................
................................
............
 
20
 
2.2.4.1. Microscopic effects
 
................................
................................
..................
 
20
 
2.2.
4.2. Macroscopic effects
 
................................
................................
.................
 
25
 
2.3. RADIATION DAMAGE IN TI
-
ALLOYS
 
................................
................................
............
 
28
 
2.3.1. Changes in microstructure
 
................................
................................
......................
 
28
 
2.3.1.1. In Ti
 
................................
................................
................................
..........
 
28
 
2.3.1.2. In Ti
-
6Al
-
4V
 
................................
................................
............................
 
31
 
2.3.2. Changes in mechanical properties
 
................................
................................
..........
 
34
 
2.4. SUMMARY
 
................................
................................
................................
...........................
 
36
 
CHAPTER 3
: 
EXPERIMENTAL METHODS
 
................................
................................
............
 
39
 
3.1. MATERIALS
 
................................
................................
................................
.........................
 
39
 
3.2. SAMPLE PREPARATION
 
................................
................................
................................
...
 
42
 
3.2.1. Metallurgical samples
 
................................
................................
.............................
 
42
 
3.2.2. TEM samples
 
................................
................................
................................
..........
 
42
 
3.3. IRRADIATION CONDITIONS
 
................................
................................
............................
 
44
 
3.3.1. Dose calculation
 
................................
................................
................................
......
 
44
 
3.3.2. 
Ex 
situ
 
irradiation experiments
 
................................
................................
...............
 
46
 
3.3.3. 
In situ
 
irradiation experiment
 
................................
................................
..................
 
49
 
3.4. TEM IMAGING AND COUNTING METHODS
 
................................
................................
 
50
 
3.4.1. TEM Weak Beam imaging
 
................................
................................
.....................
 
50
 
3.4.2. Transmission Kikuchi Diffraction (TKD)
 
................................
..............................
 
55
 
3.4.3. Counting of  loops
 
................................
................................
............................
 
58
 
3.4.4. Counting of c
-
component loops
 
................................
................................
..............
 
58
 
 
 
x
 
3.4.5. Measurements
 
................................
................................
................................
.........
 
61
 
3.4.5.1. Size of the dislocation loops
 
................................
................................
....
 
61
 
3.4.5.2. Dislocation density
................................
................................
...................
 
64
 
3.5. NANOINDENTATION 
EXPERIMENTS AND METHODS
 
................................
..............
 
65
 
3.5.1. Experimental
 
................................
................................
................................
...........
 
65
 
3.5.2. Dispersed Barrier Hardening (DBH)
 
................................
................................
......
 
67
 
3.5.3. Estimation of the dose at the indentation
 
depth
 
................................
......................
 
71
 
3.5.4. Comparing results with different irradiation particles
 
................................
............
 
73
 
CHAPTER 4
:
 
RESULTS
 
................................
................................
................................
..............
 
76
 
4.1. MICROSTRUCTURE OF THE AS
-
RECEIVED SAMPLES
 
................................
..............
 
76
 
4.1.1. CP Ti
 
................................
................................
................................
.......................
 
76
 
4.1.2. Ti
-
6Al
-
4V AM
 
................................
................................
................................
........
 
81
 
4.1.3. Ti
-
6Al
-
4V PM
 
................................
................................
................................
.........
 
85
 
4.2. NANOINDENTATION RESULTS
 
................................
................................
......................
 
88
 
4.2.
1 Results for all materials
 
................................
................................
...........................
 
88
 
4.2.1.1. Ti
-
6Al
-
4V PM
 
................................
................................
..........................
 
88
 
4.2.1.2. CP Ti
 
................................
................................
................................
........
 
94
 
4.2.1.3. Ti
-
6Al
-
4V AM
 
................................
................................
.........................
 
95
 
4.2.2. Comparison between different materials
 
................................
................................
 
96
 
4.2.3. Effect of dose and temperature
 
................................
................................
...............
 
99
 
4.2.4. Summary of the
 
nanoindentation
 
results
................................
...............................
 
101
 
4.3. OBSERVATIONS OF  DISLOCATION LOOPS
 
................................
.......................
 
102
 
4.3.1. CP Ti
 
................................
................................
................................
.....................
 
103
 
4.3.1.1. 
In situ
 
irr
adiation
 
................................
................................
....................
 
103
 
4.3.1.2. 
Ex situ
 
irradiation
 
................................
................................
...................
 
109
 
4.3.1.3. Effect of dose and temperature
 
................................
..............................
 
109
 
4.3.2. Ti
-
6Al
-
4V AM
 
................................
................................
................................
......
 
111
 
4.4. OBSERVA
TIONS OF C
-
COMPONENT DISLOCATION LOOPS
................................
..
 
114
 
4.4.1. CP Ti
 
................................
................................
................................
.....................
 
115
 
4.4.1.1. 
In situ 
irradiation
 
................................
................................
....................
 
115
 
4.4.1.2. 
Ex situ
 
irradiation
 
................................
................................
...................
 
123
 
4.4.1.3. Effect of dose and temperature
 
................................
..............................
 
123
 
4.4.2. Ti
-
6Al
-
4V AM
 
................................
................................
................................
......
 
125
 
CHAPTER 5
:
 
DISCUSSION
 
................................
................................
................................
......
 
129
 
5.1. DISCUSSION OF DISLOCATION LOOP CHARACTERIZATION
 
...............................
 
129
 
5.1.1. Evolution of  loops
 
................................
................................
.........................
 
129
 
5.
1.2. Formation of c
-
component loops and threshold incubation dose (TID)
 
...............
 
133
 
5.1.3. Denuded zones
 
................................
................................
................................
......
 
137
 
5.2. DISCUSSION OF NANOINDENTATION RESULTS
 
................................
......................
 
138
 
5.2.1. Comparison of the hardness results with the literature
 
................................
.........
 
138
 
5.2.1.1. Unirradiated materials
 
................................
................................
............
 
138
 
5.2.1.2. Irradiated material
 
................................
................................
..................
 
139
 
5.2.1.3. Effect of the electronic excitation energy
 
................................
..........................
 
141
 
5.2.1.4. Effect of the irradiation dose and temperature on yield stress
 
...........................
 
142
 
 
 
xi
 
5.2.1.5. Correlating microstructure to the hardness: Application of the DBH model on CP 
Ti
 
................................
................................
................................
................................
.....
 
144
 
5.2.1.6. Effect of the initial microstructure on the irradiation
-
induced hardening
 
.........
 
150
 
CHAPTER 6
:
 
CONCLUSION
 
................................
................................
................................
...
 
152
 
BIBLIOGRAPHY
 
................................
................................
................................
.......................
 
157
 
 
 
 
 
xii
 
LIST OF TABLES
 
 
Table 1.
 
Crystal lattice parameters for the different phases in pure Ti [35].
 
................................
.
 
7
 
Table 2.
 
Chemical composition ranges for some relevant ASTM 
Grade Ti alloys.
 
......................
 
8
 
Table 3.
 
Tensile properties for different CP Ti microstructures.
 
................................
...................
 
9
 
Table 4.
 
Dislocation loops in 
hcp
 
materials, their habit planes and Burgers vectors.[66]
 
...........
 
21
 
Table 5.
 
Summary of Burgers vectors of glissile and sessile loops in fcc, bcc and hcp lattices. 
This table is reproduced from [81]
................................
................................
................................
 
26
 
Table 6.
 
Summary of TEM observations in irradiated Ti
-
6Al
-
4V
 
[17, 88 
-
 
90]
.
 
.........................
 
33
 
Table 7.
 
Summary of the effect of the microstructure on the properties of Ti alloys (adapted 
from [94]).
 
................................
................................
................................
................................
.....
 
36
 
Table 8. 
Radiation effects and their results in the material
 
................................
..........................
 
36
 
Table 9.
 
Ti
-
6Al
-
4V 
 
Grade 23 powder composition used in the DMLS process.
 
......................
 
41
 
Table 10.
 
Summary of the 
ex situ
 
irradiation conditions.  The 
irradiation dose indicated is the 
dose at the probed depth by nanoindentation.
 
................................
................................
...............
 
48
 
Table 11.
 
Summary of the 
in situ
 
irradiation condi
tions with 1 MeV 
82
Kr ions.
 
.........................
 
50
 
Table 12.
 
The measurements of the  loops identified in Figure 46 using Fiji [108]
 
..............
 
62
 
Table 13.
 
The measurements of the diameter of c
-
component loop identified in Figure 46 using  
Fiji [108]
 
................................
................................
................................
................................
.......
 
63
 
Table 14
. Examples of values of ba
rrier strength factors for irradiated materials from the 
literature.
 
................................
................................
................................
................................
.......
 
70
 
Table 15.
 
Summary of the parameters used in this analysis
 
................................
........................
 
71
 
Table 16.
 
The temperature shift calculated for two different irradiations conditions in [12, 14] 
using the dose rate for 1 MeV Kr ir
radiations.
 
................................
................................
.............
 
75
 
Table 17
. Summary of the hardness measurement of the unirradiated materials.
 
.....................
 
101
 
Table 18.
 
Hardness measurements of the samples irradiated with 4 MeV Ar beams.
 
...............
 
102
 
Table 19.
 
Summary of the hardness values of the unirradiated materials.
................................
.
 
138
 
Table 20.
 
Chemical composition of CP Ti in [33] and high purity Ti [85]
 
...............................
 
150
 
 
 
xiii
 
Table 21.
 
Comparison between the i
nitial microstructure of the different materials
 
.................
 
150
 
 
 
 
 
xiv
 
LIST
 
OF FIGURES
 
 
Figure 1.
 
FRIB primary beam dump concept adapted from [7].
 
................................
....................
 
2
 
Figure 2.
 
Three
-
dimensional phase diagram to classify Ti alloys containing V and
 
Al 
(reproduced from [37]).
 
................................
................................
................................
..................
 
8
 
Figure 3.
 
Example of the grain morphology in CP Ti: a) lath type morphology [39], b) equiaxed 
morphology [40].
 
................................
................................
................................
..........................
 
10
 
Figure 4.
 
Examples of the di
fferent microstructures found in Ti
-
6Al
-
4V: a) Lamellar, b) 
Equiaxed; c) Bimodal.  Figures are adapted from [44].
 
................................
................................
 
11
 
Figure 5.
 
The mo
-
6Al
-
4V by: a) DED [47]; b) SLM [48], 
c) EBM [49]. Figure reproduced from [47].  For all these images, the build direction was vertical.
................................
................................
................................
................................
.......................
 
12
 
Figure 6.
 
Micrographs of the macrostructure of Ti6Al4V SLM: 
a
) side view parallel to the 
b
) top view perpendicular to the 
BD showing the lamellar grain morphology.  Figure reproduced from 
[48].
 
...............................
 
13
 
Figure 7.
 
Calculated D
rad
 
for self
-
diffusion of Cu as a function of temperature for different 
combinations of defect production rates and dislocation densities.
 
1: K
0
 
=10
6
 
d
 
= 10
11
 
m
2
, 2: K
0
 
=10
6
 
d
=10
14
 
m
2
, 3: K
0
 
=10
6
 
d
 
=10
15
 
m
2
, 
4: K
0
 
= 10
4 
d
 
= 10
11
 
m
2
.  Figure adapted from [57, 59]
.
 
................................
................
 
16
 
Figure 8.
 
Radiation
-
induced segregation of Cr, Ni, Si and P at the grain bou
ndary of a 300 series 
stainless steel irradiated in a light water reactor core to several dpa at
reproduced from [57] (after [59]).
 
................................
................................
................................
 
17
 
Figure 9.
 
Temperature and dose rate (dpa/s) effect on RIS.  The figure is adapted from [61].  The 
temperature in the left
-
hand axis is in K.  For CP Ti and using a melting temperature T
m
 
of ~ 
-
hand axis.
 
................................
................................
................................
................................
......
 
18
 
Figure 10.
 
Damage cascade morphologies for different irradiating particles with the same 
incident energy of 1 MeV.  The figure is adapted from [23].
 
................................
.......................
 
19
 
Figure 11.
 
Prismatic  dislocation loops observed in Zr at different irradiation conditions: a) 
Pre
-
 
and beam direction  B~[0001] [20]; b) After neutron i
of ~ 50 dpa.  Diffracting vector 
, beam direction 
 
[76].
 
...............................
 
22
 
Figure 12.
 
Basal
-
imaged with 
, beam direction near 
; b) 
Zr following neutron irradiation to a 
fluence of 1.5 x l0
26
 
neutrons.m
-
2
 
-
component loops are in an edge
-
on 
orientation (red arrowed) with 
g
 
= 0002.  The figure is adapted from [75].
 
................................
.
 
23
 
 
 
xv
 
Figure 13.
 
TID for the formation of c
-
component loops plotted as a function of temperature for 
two Excel alloys after two different heat treatments: Heat 1: Zr
-
Excel after two hours of solution 
treatment at 890°C followed by water quenching and o
ne
-
hour aging at 450°C not showing any 
SPPs; Heat 2: Zr
-
SPPs.  The figure is reproduced from [78].
 
................................
................................
..................
 
24
 
Figure 14.
 
EDS mapping on an 
 
-
Excel 
sample: a) Unirradiated sample; b) After irradiation up to 10 dpa at 400 °C showing segregation 
of Fe and Sn clusters along the grain boundary.  The figure is reproduced from [78].
 
................
 
25
 
Figure 15.
 
Schematic representation of the three stages of irradiation
-
induced swelling in 
recrystallized zirconium alloys [64].
................................
................................
.............................
 
27
 
Figure 16.
 
Irradiation
-
×
10
25
nm
2
from [84].
 
................................
................................
................................
................................
......
 
27
 
Figure 17. 
 dislocation loops in neutron
-
nealed Ti 
irradiated to a fluence of 3.4×10
25
 
n.m
-
2 
; b) 64% cold
-
worked Ti irradiated to a fluence of 
4.03×10
25
 
n.m
-
2
[70].
 
................................
................................
................................
......................
 
29
 
Figure 18. 
 
[14].
 
................................
................................
...............
 
29
 
Figure 19.
 
Microstructure of CP Ti grade 2 showing 
type dislocation loops after irradiation 
at a dose of 3 dpa with 6 MeV Ti ions at: a) 300 °C; b) 430 
°C 
[86]
.
 
................................
..........
 
30
 
Figure 20.
 
The microstructure of CP Ti grade 2 showing c
-
component dislocation loops after 
irradiation at a dose of 3 dpa with 6 MeV Ti ions at a) 300°C; b) 430
°C 
[86]
.
 
............................
 
30
 
Figure 21.
 
Microstructure after irradiation of Ti
-
6Al
-
0.3 dpa [88]; b) 6 MeV ion
 
................................
................................
....
 
31
 
Figure 22.
 
Precipitates observed in Ti
-
6Al
-
dpa [8
 
................................
.................
 
31
 
Figure 23.
 
Needle tip 3D reconstruction (Atom Probe Tomography (APT) ana
lysis): spatial 
distribution of Ti, Al, and V in Ti
-
6Al
-
4V alloy irradiated at the dose of 3 dpa, high flux, at the 
temperature of: a) 300 
°
C and b) 430 
°
C.  Figure reproduced from [17].
 
................................
....
 
32
 
Figure 24.
 
Change in hardness plotted for CP Ti samples: Irradiated with 6 MeV Ti ion beams 
from [33] (empty black triangle); Irradiated with 7 MeV proton beam 
from [93] (blue +); High 
purity Ti irradiated with 590 MeV proton beam from [14] (blue and red ×); The irradiation 
temperature for each set of samples is indicated in the legend.
 
................................
....................
 
34
 
Figure 25.
 
Change in hardness plotted for Ti
-
6Al
-
4V samples: Irradiated with 6 MeV Ti ion 
beams from [33] (empty black triangle); Irradiated with 7 MeV proton beam from [93] (blue +); 
 
 
xvi
 
Irradiated with neutro
ns from [12] (green *); Irradiated with 590 MeV proton beam from [13] 
(red ×); The irradiation temperature for each set of samples is indicated in the legend.
 
..............
 
35
 
Figure 26.
 
Ti
-
6Al
-
4V
 
on
: a) 
F
racture toughness 
[88]
;
 
b) 
T
otal 
(TE) and uniform elongation (UE) of Ti
6Al
4V 
[4]
.
 
................................
................................
.
 
35
 
Figure 27.
 
Representation of the powder bed process used by Linear mold © for the AM of the 
Ti
-
6Al
-
4V alloy.  This figure was provided by Linear Mold, Livonia, 
Michigan.
 
......................
 
41
 
Figure 28.
 
Schematic representation of the build direction during DMLS. Three layers of the 
deposited material are repre
sented.
 
................................
................................
...............................
 
41
 
Figure 29.
 
TEM preparation for a sample irradiated 
ex situ
: a) The irradiated surface is covered 
by Lacomit varnish (Pink 
tint) after thinning and punching out 3 mm discs; b) Representation of 
the electropolishing for these foils.
 
................................
................................
...............................
 
43
 
Figure 30.
  
Example output plots from SRIM [103] calculation using a Ti
-
6Al
-
4V target 
irradiated with a 36 MeV Ar ion beam: a) Cross section view of the simulated trajectories of 
5000 ions in a 10 um, b) Ion ranges as a function of the target depth; c) Collision eve
nts as a 
function of the target depth.
 
................................
................................
................................
..........
 
46
 
Figure 31.
 
The SRIM
-
2013 [103]  calculation of the dose in a Ti
-
6Al
-
4V sample for the 
36
Ar
 
beam @ 36 MeV with a fluence of 10
15 
ions.cm
-
2
.
 
................................
................................
.......
 
47
 
Figure 32.
 
Irradiation dose as a function of depth below the material surface fo
r all the ion 
beams used in the 
ex situ
 
irradiation.
 
................................
................................
............................
 
48
 
Figure 33.
 
Irradiation dose of Kr ion beam  in Ti
-
6Al
-
4V as a function of de
pth below the 
material surface for all the different 
in situ
 
irradiation experiments.  The numbers in the legend 
refer to the experiment numbers provided in Table 11.
 
................................
................................
 
49
 
Figure 34.
 
The Bragg description of diffraction in terms of the reflection of a plane wave 
incident at an angle 
 
to atomic planes of spacing 
d
.  The path difference between reflected 
waves is AB + BC [104].
 
................................
................................
................................
..............
 
51
 
Figure 35.
 
Schematic representation of the set up for a WB diffraction condition for the 
 
zone axis with
 
the direct beam highl
ighted in red
: 
a) Tilting the foil to the 
 
 
zone axis; b) 
Tilting away from the zone axis; c) Condition where the desired row of 
g
 
vectors is excited; d) 
Condition where only the direct beam and 2
g
 
are excited and Kikuchi lines are presented as a 
dashe
d black line.  These diffraction patterns were simulated for the 
-
phase Ti using the 
software CrysTBox [106].
 
................................
................................
................................
............
 
51
 
Figure 36 .
 
Nucleation planes for (a)  and (b) c
-
component dislocation loops in hcp 
materials.
 
................................
................................
................................
................................
.......
 
52
 
Fi
gure 37.
 
Schematic representation of the TEM imaging of  and c
-
component loops in a 
 
zone axis in using the two 
g
 
vectors 
 
and 
.
 
................................
........................
 
53
 
 
 
xvii
 
Figure 38.
 
Example of the identification of dislocation loops in CP Ti irradiated with 1 MeV Kr 
-
a) Selected grain and (1
-
b) its corresponding diffraction pattern close to the 
 
ZA, 2
-
a) BF TEM photomicrograph with 2
-
b) its
 
corresponding diffraction condition for 
g
=
, 3
-
a) BF TEM photomicrograph with 3
-
b) its corresponding diffraction condition for 
g
=
, 4
-
a) Magnified BF image showing c
-
component loops indicated with blue arrows and 
4
-
b) Magnified BF image 
showing  loops indicated with red arrows.
 
................................
...
 
54
 
Figure 39.
 
TEM specimen setting arrangement for
 
TKD: a) General layout [107], b) Image of 
the set up inside the MIRA 3 SEM chamber.
 
................................
................................
...............
 
56
 
Figure 4
0
. Illustration of an example of grain identification for TEM using TKD. The grain 
orientation was between 
 
and 
 
ZA: 1
-
a) SEM image of the distinctive edge used as a 
marker, 1
-
b) EBSD inverse pole figure of the selected area, 2
-
a) Low magnification
 
TEM 
micrograph of the distinctive edge used as a marker, 2
-
b) ) High
-
magnification TEM 
photomicrograph of the selected area; 3
-
a) Unindexed Kikuchi pattern in the selected grain; 3
-
b) 
Indexed Kikuchi pattern in the selected grain; 3
-
c) corresponding color
 
scale unit triangle for 
image 1
-
b.
 
................................
................................
................................
................................
.....
 
57
 
Figure 41.
 
Example of identification of  loops: a) DF TEM photomicrograph showing the 
 t
appear circular when imaged using 
; b) Identified loops with the highlighted outlines 
in yellow.
................................
................................
................................
................................
.......
 
58
 
Figure 42.
 
Example of identification of c
-
component loops: a) BF TEM photomicrograph 
showing the c
-
component dislocation loops in CP Ti irradiated with 1 MeV Kr ion beams at 
 
 
using 
g
=0002; b) Corresponding diffraction pattern.
 
................................
................................
...
 
59
 
Figure 43.
 
Magnified image showing a) BF TEM photomicrograph showing the c
-
c
omponent 
perpendicular to the direction of the imaging g vector, 
g
 
= 0002; b) Eight possible loops were 
identified.
 
................................
................................
................................
................................
......
 
60
 
Figure 44.
 
The 8 loops identified in Figure 43 overlaid with the direction perpendicular to the 
g
 
vector 0002.  Loops 3, 4, 5, 7 and 8 were confirmed as c
-
component loops, wh
ile loops 1, 2, and 
-
component loops and were 
therefore not included in the analysis.
 
................................
................................
..........................
 
61
 
Figure 45.
 
Identified 5  loops in CP Ti irradiated 
in situ
 
-
 
BF 
photomicrograph of an area imaged using 
g
 
=
; b
-
 
Outline of the 5  loops (Note that 
there are other loops in this figure that are 
not highlighted).
 
................................
........................
 
62
 
Figure 46.
 
Identified c
-
component loops in CP Ti irradiated 
in situ
 
with 1 MeV Kr ions at 
 
9 dpa: a
-
 
BF photomicrograph of an area imaged using 
g
 
= 0002; b
-
 
Outline 
of the c
-
component loops highlighted in yellow.
................................
................................
..........
 
62
 
Figure 4
7.
 
The distribution of c
-
component loop diameters quantified in Figure 46.  The y
-
axis 
corresponds to the number of the loops in each diameter bin divided by the total area studied.
 
.
 
64
 
 
 
xviii
 
Figure 48.
 
BSE SEM photomicrographs showing an example of the indents in CP Ti sample 
-
magnification photomicrograph 
of the indentation grid; b)
 
Higher
-
magnification photomicrograph depicting only one indent.
 
..
 
66
 
Figure 49.
 
Schematic representation of Orowan bowing: A dislocation in motion encounters two 
obstacles, bows to a radius r before passing and leaving dislocation loop behind around the 
obstacle. This illustration is adapted from [117].
 
................................
................................
.........
 
68
 
Figure 50. 
Graphic representation of the intersection of spherical obstacles of radius 
r
 
and 
spacing 
l
 
with a unit area of a slip plane. This figure is reproduc
ed from [116, 120].
 
.................
 
69
 
Figure 51.
 
Schematic representation of the indentation on the surface of the irradiated samples.
................................
................................
................................
................................
.......................
 
72
 
Figure 52.
 
Plastic zone radius as a function of indentation depth for ion irradiated Fe12%Cr 
Alloy. This graph is adapted from [111].
 
................................
................................
......................
 
72
 
Figure 53.
 
Dose profiles for the different ion beam irradiation energies: a) Irradiation dose as 
calculated previously from SRIM [103] as a function of material depth, b) Corrected dose for the 
measured indentation depth.  Note that dose on the y axis is in the loga
rithmic scale.
 
................
 
73
 
Figure 54.
 
Temperature and dose rate effect on radiation
-
induced segregation.  Figure is adapted 
from [61].
 
................................
................................
................................
................................
......
 
74
 
Figure 55.
 
SE SEM photomicrographs showing the representative microstructure of CP Ti: (a) 
high
-
 
and (b) low magnifications.
 
................................
................................
................................
.
 
78
 
Figure 56.
 
EBSD data of the CP Ti used in this study: a) EBSD IPF (Inverse Pole Figure) map 
with the corresponding color scale unit triangle
; b) The 
 
and the 
 
pole figures.
 
...
 
79
 
Figure 57.
 
TEM photomicrographs of CP Ti: a
-
 
An image of a 20 µm diameter 
-
phase grain 
containing the highlighted precipitate, b
-
 
A magnified image of the precipitate highlighted in (a).
................................
................................
................................
................................
.......................
 
80
 
Figure 58.
 
EDS analysis showing the composition of two of the precipitates observed in CP Ti.
................................
................................
................................
................................
.......................
 
80
 
Figure 59.
 
SE SEM photomicrographs showing the representative microstructure of Ti
-
6Al
-
4V 
AM: (a) high
-
 
and (b) low magnifications.
 
................................
................................
...................
 
82
 
Figure 60.
 
TEM photomicrographs of Ti
-
6Al
-
4V (AM): a
-
 
BF image of showing the lamellar 
 
phase grain structure indicated with a white rectangle and some equiaxed grains highlighted with 
red circles, b
-
 
A magnified image of the highlighted 
 
grain lamellae in white with intergranular 
-
phase grains indicated with a red arrow.  The diffraction conditions in a and b are different.
 
.
 
83
 
Figure 61.
 
EBSD data of the Ti
-
6Al
-
4V AM used in this study: a) Manually stitched EBSD IPF 
(Inverse Pole Figure) map with the corresponding color scale unit triangle; b) The 
 
and 
the 
 
pole figures.
 
................................
................................
................................
................
 
84
 
 
 
xix
 
Figure 62.
 
BSE SEM photomicrographs showing the representative microstructure of Ti
-
6Al
-
4V  
PM: (a) high
-
 
and (b) low magnifications.
................................
................................
....................
 
85
 
Figure 63.
 
EBSD data of the Ti
-
6Al
-
4V PM used in this study: a) EBSD IPF (Inverse Pole 
Figure) map with the corresponding color scale unit triangle; b) The 
 
and the 
 
pole 
figures.  Note that only the 
 
phase regions in (a) are black.
................................
................................
................................
.......
 
87
 
F
igure 64.
 
Hardness as a function of depth for Ti
-
6Al
-
following beam energies presented in increasing irradiation dose: a) 36
 
MeV Ar; b) 0.76 MeV 
Ar; c) 4 MeV Ar.  The plotted error bars correspond to the calculated 
.
  
The probed 
irradiation dose as a function of depth is also plotted for each sample.
 
................................
.......
 
89
 
Figure 65.
 
Hardness as a function of depth for Ti
-
6Al
-
following beam energies presented in increasing irradiation dose : a) 36 MeV Ar; b) 0.76 MeV 
Ar; c) 4 MeV Ar.  The plotted error bars correspond to the calculated 
.  
The probed 
irradiation dose as a function of depth is plotted for each sample.
 
................................
...............
 
90
 
Figure 66.
 
Hardness
 
as a function of depth for Ti
-
6Al
-
following beam energies presented in increasing irradiation dose: a) 36 MeV Ar; b) 0.76 MeV 
Ar; c) 4 MeV Ar.  The error bars correspond to the calculated 
.  The probed irradiation 
dose as a function of depth is also plotted for each sample.
 
................................
.........................
 
92
 
Figure 67.
 
Hardness
 
as a function of depth for Ti
-
6Al
-
4V PM irradia
 
a) 36 MeV Ar; b) 0.76 MeV Ar; c) 4 MeV Ar.  The error bars correspond to the calculated 
.  The probed irradiation dose as a function of depth is also plotted for each sample.
 
.....
 
93
 
Figure 68.
 
Hardness as a function of depth for CP Ti irradiated with 4 MeV Ar beams at: 
 
.  The probed irradiation 
dose as a function of depth is also plotted for each sample.
 
................................
.........................
 
94
 
Figure 69.
 
Hardness
 
.  The maximum probed 
irradiation dose is indicated f
or each sample.
 
................................
................................
...............
 
95
 
Figure 70
. Hardness as a function of depth for AM Ti
-
6Al
-
4V  irradiated with 4 MeV Ar beams 
error bars correspond to the calculated statistical error. The probed 
irradiation dose as a function of depth is also plotted.
 
................................
................................
..
 
96
 
Figure 71.
 
Hardness
 
as a function of depth for AM Ti
-
6Al
-
4V  irradiated with 4 MeV Ar 
.  The probed irradiation 
dose is also provided.
 
................................
................................
................................
....................
 
96
 
Figure 72.
 
Hardness as a function of depth for the unirradiated samples of CP Ti, Ti
-
6Al
-
4V PM 
and AM.  The error bars correspond to the calculated statistical error 
.
 
...........................
 
97
 
 
 
xx
 
Figure 73.
 
Hardness as a function of depth for irradiated samples of CP Ti, Ti
-
6Al
-
4V PM and 
AM irradiated with 4 MeV Ar beams a
The probed irradiation dose is also provided.
 
................................
................................
...
 
97
 
Figure 74.
 
Average
 
Hardness of CP Ti, Ti
-
6Al
-
4V PM and AM Ti
-
6Al
-
4V samples unirradiated 
dose is 5.4 dpa.  The error bars correspond to the calculated s
error
.
 
................................
..............
 
98
 
Figure 75.
 
Average Hardness (indentation depth between 200 and 400 nm) of CP Ti, Ti
-
6Al
-
4V 
PM and AM samples unirradiated (black p
attern fill) and irradiated with 4 MeV Ar beams at 
 
calculated 
s
error
.
 
................................
................................
................................
.............................
 
98
 
Figure 76.
 
Average 
Hardness
 
(indentation depth between 200 and 400 nm) for CP Ti, Ti
-
6Al
-
 
s correspond to the calculated 
.
...............
 
99
 
Figure 77.
 
Hardness 
as a function of the irradiation dose for PM rolled 
Ti
-
6Al
-
4V irradiated 
 
...................
 
100
 
Figure 78.
 
TEM photomicrogra
phs showing the microstructure of CP Ti irradiated with 1 MeV 
Kr ions at a dose of 0.05 dpa with 
g
 
= 
same  loops are circled in red in both images.
 
................................
................................
......
 
103
 
Figure 79.
 
with 1 MeV Kr ions at a dose of 0.06 dpa with 
g
 
= 
 
a) BF condition, b) DF condition
.  The 
same  loops are identified in both conditions.
 
................................
................................
......
 
104
 
Figure 80.
 
with 1 MeV Kr ions at a dose of 0.05 dpa with 
g
 
= 
.  Some of the observed  loops are 
circled in red.
 
................................
................................
................................
..............................
 
104
 
Figure 81.
 
BF TEM photomicrograph showing the  loops observed in the sample irradiated 
g
 
= 
  
Some of the large  loops are indicated with white 
arrows.
 
................................
................................
................................
................................
.........
 
105
 
Figure 82.
 
BF TEM photomicrograph showing the  loops observed in the sample irradiated 
g
 
vector used in
 
this condition was 
White arrows highlight some of the  loops. Red 
arrows indicate some of the c
-
component loops.
 
................................
................................
........
 
106
 
Figure 83.
 
: a) White arrows point to some of the obs
erved  loops; b) Higher magnification 
photomicrograph showing an observed dislocation network circled in red.
 
..............................
 
106
 
Figure 84.
 
Distribution of the length of  loops in CP Ti irradiated 
in situ
 
with 1 MeV Kr at: 
 
................................
................................
..............................
 
108
 
 
 
xxi
 
Figure 85.
 
BF TEM photomicrographs showing the CP Ti sample irradiated 
ex situ
 
with 4 MeV 
Ar ions imaged with
d with the dose at the surface of 7.5 dpa.  The white 
arrows indicate some of the  loops.
 
................................
................................
......................
 
109
 
Figure 86.
 
Area  loop number density in CP Ti irradiated 
in situ
 
with 1 MeV Kr and 
ex situ
 
with 4 MeV Ar as a function of dose and at different temperatures.  The irradiation conditions 
are indicated in the legend.
 
................................
................................
................................
.........
 
110
 
Figure 87.
 
The median length of  loops observed in CP Ti irradiated with 1 MeV Kr as a 
function of dose.
................................
................................
................................
..........................
 
111
 
Figure 88.
 
BF TEM photomicrograph showing the same area in AM Ti
-
6Al
-
4V irradiated 
in situ
 
 
with increasing doses:
 
a) 0 dpa;  b) 0.06 dpa; c) 
0.22 dpa. White arrows indicated some of the observed   loops in b) 
and c).
 
................................
................................
................................
................................
..........
 
112
 
Figure 89.
 
Distribution of the length of  loops
 
in Ti
-
6Al
-
4V AM irradiated 
in situ
 
with 
 
 
................................
................................
................................
...................
 
112
 
Figure 90.
 
Area  loop number density in AM Ti
-
6Al
-
4V irradiated 
i
n situ
 
 
1 MeV Kr as a function of dose.
 
................................
................................
................................
.
 
113
 
Figure 91.
 
The median length of  loops observed in AM Ti
-
6Al
-
4V irradiated with 1 MeV 
 
................................
................................
.............................
 
113
 
Figure 92.
 
BF 
TEM photomicrograph showing the same area in AM Ti
-
6Al
-
4V irradiated 
in situ
 
 
at the final dose of 3.7 dpa: a) Lower 
magnification photomicrograph with  loop pointed with white arrows; b) Higher 
magnificat
ion micrograph with an observed dislocation network circled in red.
 
.......................
 
114
 
Figure 93.
 
BF TEM photomicrographs showing the microstructural evolution in CP Ti irradiated 
at a dose of 0.6 dpa; c) Area at a dose of 1.8 dpa d) Area at a dose of 3.7 
dpa.  The grain 
boundary (GB) is indicated with a white arrow in each photomicrograph.  Blue arrows indicate 
some of the observed c
-
component loops.
 
................................
................................
..................
 
116
 
Figure 94.
 
Threshold incubation dose (TID) for c
-
component loops in CP Ti irradiated 
in situ
 
with 1 MeV Kr ion beam as a function of temperature.
 
................................
.............................
 
117
 
Figure 95.
 
BF TEM photomicrographs showing the microstructural evolution in CP Ti irradiated 
at a dose of 0.6 dpa; c) Are
a at a dose of 1.8 dpa; d) Area at a dose of 3.7 dpa.  The grain 
boundary (GB) is indicated with a white arrow.  The red box highlights the same area that is 
magnified in Figure 96.
 
................................
................................
................................
...............
 
119
 
 
 
xxii
 
Figure 96.
 
BF TEM photomicrographs showing coalescence of smaller neighboring loops to 
form longer strings easily identifiable as c
-
component type loops in CP Ti irradiated with 1 MeV 
ferent doses: a) Area at a dose of 1.8 dpa ; b) Area at a dose of 3.7 dpa.
 
.....
 
120
 
Figure 97.
 
BF TEM photomicrographs showing the microstructural evolution in CP Ti irradiated 
at a dose of 1.4 dpa; c) Area at a dose of 4.1 dpa d) Area at a dose of 11 dp
a.  Blue arrows point 
to some of the observed c
-
component loops in each micrograph.  The grain boundary (GB) is 
indicated with a white arrow.  Blue arrows indicate some of the observed c
-
component loops.
 
121
 
Figure 98.
 
Distributions of the observed length of c
-
component loops in CP Ti irradiated 
in situ
 
o peak 
densities in the sample irradiated up to a dose of 0.55 dpa.
 
................................
........................
 
122
 
Figure 99.
 
BF TEM photomicrographs showing the CP Ti samples
 
irradiated 
ex situ
 
with 4 MeV 
Ar ions imaged with 
indicate some of the observed c
-
c
omponent loops.
 
................................
................................
....
 
123
 
Figure 100.
 
Defect number density as a function of dose and temperature for CP Ti.
 
..............
 
124
 
Figure 101.
 
Defect linear density as a function of dose 
and temperature for CP Ti.
 
.................
 
1
24
 
Figure 102.
 
The median observed length of c
-
component loops as a function of dose and 
temperature.
 
................................
................................
................................
................................
 
125
 
Figure 103.
 
TEM BF photomicrographs showing the evolution of the microstructure in AM  Ti
-
6Al
-
4V irradiated with 1 MeV Kr ions at 36
before irradiation; b) Area at a dose of 0.43 dpa; c) Area at a dose of 1.9 dpa; b) Area at a dose of 
3.7 dpa.  Some of the c
-
component loops are indicated with a blue arrow.
 
...............................
 
126
 
Figure 104.
 
Distribution of the observed length of c
-
component loops in CP Ti irradiated 
in situ
 
 
................................
................................
................................
...........
 
127
 
Figure 105.
 
Area c
-
component loop number density as a function of dose for CP Ti and AM  Ti
-
6Al
-
 
Kr ion beams.
 
................................
.............................
 
127
 
Figure 106.
 
C
-
component loop length as a function of dose for CP Ti and AM Ti
-
6Al
-
4V 
V Kr ion beams.
 
................................
................................
.........
 
128
 
Figure 107.
 
TEM BF photomicrographs showing the microstructural evolution in AM Ti
-
6Al
-
4V irradiated with 1 MeV 
................................
................................
................................
................................
.....................
 
128
 
Figure 108.
 
Comparison of the results from current work 
and literature for defect number 
density of  loops for Ti: Irradiated with 1 MeV Kr and 4 MeV Ar ion beams from the current 
work (CP Ti); Irradiated with 6 MeV Ti ion beams from [33] (CP Ti); Irradiated with 590 MeV 
 
 
xxiii
 
proton beam from [13] (High purity Ti
).  The irradiation temperature for each set of samples is 
indicated in the legend.
 
................................
................................
................................
...............
 
130
 
Figure 109.
 
Comparison of the results from current work and literature for the evolution of 
equivalent diameter of  loops for Ti: Irradiated with 1 MeV Kr and 4 MeV Ar ion beams 
from the current work (CP Ti); Irradiated with 6 MeV Ti ion beams from [33] (CP Ti); I
rradiated 
with 590 MeV proton beam from [13] (High purity Ti).  The irradiation temperature for each set 
of samples were indicated in the legend.
 
................................
................................
....................
 
131
 
Figure 110.
 
Comparison of the results from current work and literature for the evolution of  
loops: a) Defect number density and b) Equivalent diameter in two different Ti
-
6Al
-
4V alloys: 
m the current work; PM Irradiated with  6 
MeV Ti ion beams from [33].  The irradiation temperature for each set of samples is indicated in 
the legend.
 
................................
................................
................................
................................
...
 
132
 
Figure 111.
 
Threshold incubation dose for c
-
component loops in samples irradiated with 1 MeV 
Kr ions:  CP Ti and Ti
-
6Al
-
4V AM results are from the current work and the Excel Zr results are 
from [20].  All irradiations were performed a
t the IVEM facility with 1 MeV Kr ion beams.
 
..
 
135
 
Figure 112
. Defect number densities of dislocation loops in CP Ti irradiated 
in situ
 
with 1 MeV 
Kr ions at different temperatures as indicated on the legend.
 
................................
.....................
 
135
 
Figure 113.
 
The linear defect density of c
-
component dislocation loops as a function of dose in 
CP Ti and Ti
-
6Al
-
4V AM irradiated with 1 MeV Kr and 4 MeV Ar ion beams from current 
.
 
..
 
136
 
Figure 114.
 
Comparison between the evolution of c
-
component dislocation loops as a function 
of dose in CP Ti (current work) an
d Zr [20] irradiated with 1 MeV Kr ion beams: a
-
 
Area defect 
number density and b) Average length of the loops observed edge
-
on.
 
................................
.....
 
137
 
Figure 115.
 
Change in hardness plotted for CP Ti samples: Irradiated with 4 MeV Ar ion beams 
from this work (filled diamond symbols); Irradiated with 6 MeV Ti ion beams from [33] (empty 
black triangle); Irradiated with 7 MeV proton beam from [93] (blue +);
 
High purity Ti irradiated 
with 590 MeV proton beam from [14] (blue and red ×); The irradiation temperature for each set 
of samples is indicated in the legend.
 
................................
................................
.........................
 
139
 
Figure 116.
 
Change in hardness plotted for Ti
-
6Al
-
4V PM samples: Irradiated with 4 MeV Ar 
ion beams from this work (filled circles symbols); Irradiated with 6 MeV Ti ion beams from [33] 
(empty black triangle); Irradiated wit
h 7 MeV proton beam from [93] (blue +); Irradiated with 
neutrons from [12] (green *); Irradiated with 590 MeV proton beam from [14] (red ×); The 
irradiation temperature for each set of samples were indicated in the legend.
 
...........................
 
140
 
Figure 117.
 
Hardness versus indentation depth for PM Ti
6Al
4V irradiated with a 
36
Ar beam at 
a fluence of 1
 
×
 
10
15
 
ions
 
cm
2
 
and
 
T
 
=
 
350
 
°C with the CP
Ti 
foil (0.76 MeV) and without Ti
-
foil (36 MeV).
 
................................
................................
................................
.............................
 
141
 
 
 
xxiv
 
Figure 118.
 
V Ar ion 
 
 
................................
................................
................................
....
 
143
 
Figure 119.
 
Change in yield strength calculated for AM or PM Ti
-
6Al
-
4V samples irradiated 
with Ar ion beams as a function of dose.
 
................................
................................
....................
 
143
 
Figure 120.
 
Average loops spacing along the slip plane, defined as distance l(nm), calculated for 
CP
-
Ti samples irradiated 
in situ
 
with 1 MeV Kr ions and 4 MeV Ar ions at different 
temperatures.  The irradiation temperature for each sample was indicated in the legend: a)  
dislocation loops and b) c
-
component dislocation loops.
 
................................
...........................
 
145
 
Figure 121.
 
Average spacing for  dislocation loops plotted for Ti samples: Irradiated 
in situ
 
with 1 MeV Kr ion beams (filled diamond symbols); Irradiated 
ex situ 
with 4 MeV Ar io
n beams 
(empty diamond symbols); Irradiated 
ex situ
 
with 6 MeV Ti ion beams from [33] (empty 
triangles); Irradiated with 590 MeV proton beam from [14] (*); The irradiation temperature for 
each set of samples were indicated in the legend.
 
................................
................................
......
 
146
 
Figure 122.
 
Comparison between change in yield stress in CP Ti irradiated with 4 MeV Ar ion 
-
component
 
loops calculated using DBH,  
labeled DBH in the legend; Contributions by the  and c
-
component loops calculated using 
the modified DBH, labeled Modified DBH in the legend; Values extracted from the nano
-
the legend.
 
................................
.....................
 
147
 
Figure 123.
 
Contribution of  and c
-
component loops to the change in yield stress for Ti 
 
symbols are results from current work for CP Ti. The empty symbols 
were results for high purity Ti from [85].
 
................................
................................
...................
 
148
 
Figure 124. 
Good a
greement between the contribution of both  and c
-
component loops to the 
were results from current work for CP Ti.  The empty symbols are results for high purit
y Ti from 
[85].
 
................................
................................
................................
................................
.............
 
148
 
Figure 125. 
Contribution of  loops to the change in yield stress for Ti samples and 
experimental measurements for Ti irradiated at higher temperature: Black 
symbols represent 
results of mechanical testing and the colored symbols are the calculated contribution of  
loops to hardening.  The yellow, orange and red colors are assigned to irradiation temperatures of 
 
................................
................................
....................
 
149
 
 
 
 
 
 
 
xxv
 
KEY TO SYMBOLS AND ABREVIATIONS
 
 
a  
 
 
 
Hexagonal lattice parameter in the basal plane 
 
 loops
 
 
Dislocation loops in prismatic planes 
 
b 
 
 
 
Burgers Vector
 
Al    
              
 
 
Aluminum 
 
AM
 
 
 
Additive manufacturing
 
Ar
 
 
 
Argon
 
ASTM          
 
 
American society for testing and materials 
 
b
 
 
 
Dislocation Burgers vector 
 
BCC
 
 
 
Body center cubic 
 
B.D.
 
 
 
Beam dump
 
BF
 
 
 
Bright field
 
BSE                 
 
Backscattered electron 
 
c
 
 
 
Hexagonal lattice parameter normal to the basal plan
 
c
-
 
component loops   
 
Dislocation loops in basal planes
 
CP                  
 
 
Commercially pure
 
Cu
 
 
 
Copper
 
DAD 
 
 
 
D
iffusional anisotropy difference 
 
DBH
 
 
 
Dispersed Barrier Hardening 
 
DED
 
 
 
D
irect 
E
nergy 
D
eposition
 
DF
 
 
 
Dark field
 
dpa
 
 
 
Displacements per atom
 
EBM
 
 
 
Electron 
B
eam 
M
elted
 
EBSD             
 
 
Electron backscattered diffraction 
 
 
 
xxvi
 
EDS   
 
 
 
Energy Dispersive Spectroscopy
 
Fe                    
 
Iro
n 
 
FIB
 
 
 
Focused Ion Beams
 
Fiji
 
 
 
Fiji Is Just ImageJ
 
g
 
 
 
Diffraction g vector
 
GB                  
 
 
Grain boundary
 
GND
 
 
 
Geometrially necessary dislocation
 
hcp
                
 
 
Hexagonal closed
-
packed 
 
HIP
 
 
 
Hot isostatic press
ing
 
H
irr
 
 
 
Average hardness 
of irradiated material (GPa)
 
H
non i
rr
 
 
 
Average hardness of unirradiated material (GPa)
 
Hardness
 
 
Difference between average hardness measurements (GPa)
 
IPF                  
 
 
Inverse pole figure 
 
Kr 
 
 
 
K
r
ypton
 
Ni                    
 
Nickel 
 
O                   
 
 
 
Oxygen 
 
PKA 
 
 
 
Primary knock
-
on atom
 
RIS 
 
 
 
Radiation Induced Segregation
 
RT
 
 
 
Room temperature
 
SE                    
 
Secondary electron 
 
 
 
 
Statistical error calculated for nanoindentation hardness 
measurements
 
 
 
 
Statistical error calculated for 
Hardness
 
measurements 
 
SEM                
 
Scanning electron microscopy 
 
SIA
 
 
 
 
Single Interstitial Atom
 
SiC                  
 
Silicon carbide 
 
 
 
xxvii
 
SLM
 
 
 
Selective 
L
aser 
M
elted
 
Sn
 
 
 
Tin
 
SPP
 
 
 
S
econd
ary 
P
hase 
P
recipitates
 
STEM
 
 
 
Scanning transmission electron microscopy
 
T
 
 
 
Temperature 
 
T
d
 
 
 
T
hreshold displacement energy
 
TEM
 
 
 
Transmission electron microscopy 
 
Ti
 
 
 
Titanium 
 
TID
 
 
 
Threshold 
I
ncubation 
D
ose
 
T
irr
 
 
 
Irradiation Temperature 
 
V
 
 
 
Vanadium 
 
wt.%
 
 
 
Weight percent 
 
YS
 
 
 
Yield strength 
 
Zr
 
 
 
Zirconium 
 
 
 
 
Hexagonal close packed phase
 
 
 
 
Body center cubic phase
 
 
 
 
Hexagonal phase
 
 
 
 
T
he standard deviation
 
for the nanoindentation measurements
 
y
 
 
 
The 
change in yield stre
ss
 
as a result of 
irradaition
 
B
 
 
 
 
 
 
 
Wavelength 
 
 
 
 
Orowen Shear stress
 
µ
 
 
 
 
 
 
 
 
1
 
CHAPTER 1
 
INTRODUCTION
 
 
 
1.1.
 
MOTIVATION
 
Titanium alloys are widely used in the biomedical, aerospace and automobile industry 
due to their high specific strength, excellent fatigue and creep properties, corrosion resistance, 
good
 
workability
 
and
 
weldability, as well as their commercial availabili
ty.
 
 
Ti
-
alloys are also 
attractive for nuclear applications
 
thanks to their
 
compati
bility
 
with coolants (lithium, helium, 
water) and low activation in radioactive environments 
[1]
. 
 
The low activation of Ti alloys 
present significant advantages for low
-
lev
el
 
waste management
,
 
reactor exploitation and 
decommissioning.
  
As a result, 
Ti
-
alloys 
and especially Ti
-
6Al
-
4V (wt.%)
 
*
 
are currently 
considered
 
for several applications in the nuclear industry
, including:
 
-
 
M
etal canisters for geological disposal 
facilities to contain used nuclear fuel or high
-
level radioactive waste [2]
.
 
-
 
Ti
-
6Al
-
4V 
is
 
a candidate metal matrix for 
targeted 
composite materials for the Next 
Generation Nuclear Reactors 
[3]
.
 
-
 
Flexible support for blanket attachments in ITER fusion reacto
r 
[4
, 
5]
.  
 
Ti
-
6Al
-
4V is 
also the selected structural material for the 
Facility for Rare Isotope Beams 
(FRIB) beam dump at Michigan State University
 
[6]
.
  
The 
FRIB is a new generation accelerator 
with high power heavy ion beams. 
 
It will provide primary be
ams from 
oxygen (
O
)
 
to 
uranium 
(
U
) 
with energies 
of
 
200 MeV/u for heavy
-
ion beams and higher energies for lighter beams
 
[7
, 
8]
. 
 
FRIB will allow unique investigations and discoveries of properties of rare isotopes in order 
 
*
 
F
rom this point forward, all alloy compositions are given in weight percent.
 
 
 
2
 
to advance nuclear astrophysics
 
and fundamental studies
. 
 
The applications of these discoveries 
can 
have a broad range of impacts on areas including
 
medicine with
 
the harvesting of 
radioisotopes 
[9]
, homeland security, and industry
 
[10]
.
 
 
In the FRIB, the accelerated primary beam hits a graphite target to generate a beam of 
interest containing the isotopes that will be analyzed by nuclear physicists.  The remaining
 
beam, 
in a beam dump (B.D.), which is one of the critical components of the accelerator.  The selected 
design for the B.D. (
see 
Figure 
1
) is a rotating water
-
filled drum with the following dimensions: 
0.5 mm wall thickness and 70 cm diameter.  The shape of the drum was designed to optimize 
water flow and minim
ize the temperature of the shell.  The widely used Ti
-
6Al
-
4V alloy was 
selected as the structural material for the beam dump and additive manufacturing (AM) is the 
[11]
.  The 
B.D. faces several materials engineering challenges, such as corrosion, cavitation erosion and 
radiation damage.  The expected accumulated dose over one year is 7 dpa and the Ti
-
alloy shell 
[7]
. 
 
 
Figure 
1
.
 
FRIB primary beam dump concept adapted from [7].
 
This dissertation research was motivated by the need to investigate the effect of the low 
temperature, high dose irradiation on the mechanical properties of AM Ti
-
6Al
-
4V.  
Few studies 
70 cm
 
0.5 mm
 
 
 
3
 
have investigated the radiation damage in
 
some conventionally
 
manufactur
ed
 
Ti
-
alloys, with 
neutrons 
[12]
, protons 
[13
, 
14]
 
and ions 
[11
, 
15
, 
16
, 
17]
 
for doses lower than 7 dpa
.
 
A dual dose 
and temperature dependence was observed 
o
n the mechanical properties of irradiated Ti
-
6Al
-
4V; 
samples irradiated at higher temperature
s
 
exh
ibited higher hardening at higher doses. 
 
In 
all previous
 
studies, only the final irradiated microstructure at a certain 
dose
 
level was 
investigated
,
 
preventing a deeper understanding of the evolution of the damage structures at 
different doses and tempera
tures
. 
 
In situ
 
T
ransmission 
E
lectron 
M
icroscopy (TEM)
 
irradiation 
offers the unique capability to investigate the evolution of radiation damage through continual 
imaging and observation
, and 
allows for quantitative and qualitative microstructural studies
 
[18
, 
19]
.
 
 
In situ
 
TEM irradiation studies
 
were able to image the dislocation 
loop evolution
 
in 
zirconium and its alloys
 
at different doses and their interactions 
[20
, 
21]
.
 
 
The current work 
focuses on the nucleation of 
radiation
-
induced 
dislocation loops
 
and 
their
 
accumulation at higher 
doses 
[22
, 
23]
.  
 
The mechanical properties of 
Ti
-
6Al
-
4V
 
are
 
highly dependent 
on thermomechanical 
processing 
[24
-
26]
.
 
 
Thermomechanical proce
ssing influences the grain size and phase 
compositions (
i.e., the 
ratio of 
 
 
compositions and contents
).
 
 
Improving the resistance of 
materials to radiation damage has been the subject of a few studies that focused on the effect of 
grain boundaries an
d grain size.
 
 
A higher density of grain boundaries, such as in nanocrystalline 
materials, 
resulted in
 
a higher radiation resistance 
[27
-
30]
.
 
 
Additionally, the effect of the grain 
size on irradiation
-
induced void formation was investigated in copper
 
[31]
 
and steel
 
[32]
.
 
 
To 
investigate grain size effect in Ti alloys, the current study proposes to i
nvestigat
e
 
the radiation 
damage in
 
Ti
-
6Al
-
4V processed through powder metallurgy (PM) rolling ,wich produces a 
microstructure containing predominantly equiaxed o
r globular grains, and direct metal laser 
 
 
4
 
sintering, an AM technique which produces samples with lamellar microstructure. Thus, this 
study enables not only the evaluation of the effect of alloy content (i.e. commercially pure (CP) 
Ti versus Ti
-
6Al
-
4V) but 
also processing/microstructure (i.e. equaixed versus lamellar) on ion 
radiation damage.   
 
In summary, the primary
 
objective
 
of this 
dissertation research
 
is to provide a deeper 
understanding of s
tructure
mechanic
al behavior
 
relationships
 
in ion
-
irradiated 
Ti and Ti
-
6Al
-
4V 
by combining nanoindentation testing and TEM characterization.  To that end, 
a microstructural 
study
,
 
provid
ing
 
both 
quantitative (defect formation, defect densities) and qualitative (defect 
interaction, defect gro
wt
h) 
data and 
its analysis was performed.
 
 
1.2. 
WORK PERFORMED AND DISSERTATION STRUCTURE
 
This dissertation investigat
es
 
the effect of heavy ion radiation damage on the 
microstructure and the nano
-
hardness 
in three materials, namely fully
-
-
phase 
i
-
6Al
-
4V alloy processed through PM rolling and AM. 
 
In Chapter 
2
, background information on Ti and Ti alloys is presented, including the 
presentation of the crystal structure, alloy descriptions, and different microstructures of the 
studied materials.  A 
review of the current understanding of the radiation damage in metals, and 
more specifically, in Ti and Ti alloys is also provided. 
 
In Chapter 
3
, the materials and experimental procedures used in this work are described. 
The experimental conditions for 
in
 
situ
 
and 
ex situ
 
irradiations are presented.  The details of the 
TEM specimen preparation and the characterization methods are also included.  Finally, the 
nanoindentation testing method and the dispersed barrier hardening model, used to clarify 
structure
-
mechanics relationships, are presented. 
 
 
 
5
 
In Chapter 
4
, the results from the as
-
received microstructure characterization, the 
nanoindentation experiments, and the 
in
 
situ
 
TEM irradiation experiments are provided.  For 
each material, the grain size and text
ure were characterized using scanning electron microscopy 
(SEM) and electron backscattered diffraction (EBSD).  Nano
-
indentation was performed on 
samples irradiated 
ex
 
situ
 
with Ar beams to investigate the change in mechanical properties in 
the three mater
ials.  The r
adiation hardening
 
was determined at
 
30
 
 
and 350
 
-
hardness results
.
  
To understand the effect of radiation damage structures on the radiation 
hardening, 
a study of the evolution of the radiation damage in 
CP
 
Ti irradiated 
in sit
u
 
with Kr ion 
beams 
was performed 
at the IVEM
-
Tandem facility at Argonne National Laboratory.
 
The 
irradiation temperatures in these experiments were 
3
0
 
 
36
0
 
0
 
 
and results of the 
o
bservations of the nucleation and gro
wt
h of  and 
c
-
component
 
dislocation 
loops 
are
 
reported
. 
 
In Chapter 
5
, a discussion of the radiation damage in Ti and Ti alloys is presented.  The 
results of the TEM investigations were compared to previously published results.  T
he dispersed 
barrier hard
ening model was
 
used
 
to analyze structure
-
mechanics relationships after irradiation 
for CP Ti
.
  
A good agreement between experimental measurements of the hardening in irradiated 
CP
 
Ti and the calculated cont
r
ibutions from 
dislocation 
loops was
 
found.
 
 
The 
barrier strength 
factors of  and c
-
component dislocation loops were validated as equal to 0.15 and 0.02 
(unitless) respectively confirming that  loops act as strong barriers to dislocation motion in 
ion irradiated Ti 
[33]
.  Finally, the effect of the
 
composition and microstructure (grain size and 
morphology) on the radiation resistance among the three materials is examined. The irradiation 
dose and temperature dependence in hardening was analyzed for the PM Ti
-
6Al
-
4V.  The effect 
of the initial micros
tructure on the 
resistance to radiation
-
induced hardening was
 
also
 
 
 
6
 
investigated using low
-
temperature irradiation with 
a 
4 MeV Ar ion beam 
in
 
the AM 
and PM 
alloy.
  
The significant grain refinement in the AM alloy 
enhanc
ed its
 
radiation resistance
. 
 
In Chapter 
6
, conclusions and recommendations for future work are presented.
 
 
 
 
 
 
 
 
 
7
 
CHAPTER 
2
 
LITERATURE REVIEW
 
 
 
In this chapter, background information on Ti and the studied Ti alloys are provided.  A 
literature review of the 
current
 
understanding of the 
radiation damage mechanisms in metals, 
hexagonal close
-
packed (
hcp
)
 
materials, and the investigated Ti alloys is also included. 
 
2
.1. TITANIUM AND TITANIUM ALLOYS
 
Pure Ti is subject to an allotropic transformation from a h
exagonal 
c
lose
-
p
acked
 
crystal 
structure
,
 
called 
the 
-
phase
,
 
to a body
-
centered
-
cubic bcc crystal structure
,
 
called 
the 
-
phase
,
 
at 
-
transus temperature
 
[34]
 
(
882
 
o
C
 
for pure Ti and 910 
o
C for 
CP Ti
 
[35]).
 
 
It 
can also exhibit 
a 
non
-
equilibrium 
-
phase [36].
 
 
Th
e crystal lattice parameters for each 
of these 
phase
s
 
are presented in 
Table 
1
.
 
Table 
1
.
 
Crystal lattice parameters for the 
different phases in pure Ti [35].
 
Phase
 
Crystal lattice parameters
 
 
a = 0.295 nm, c = 0.468 nm at RT 
 
 
 
 
a = 0.2813 nm, c=0.4625 nm
 
 
The transformation of 
the 
the 
characterized by the 
following orientation relationship: the close
-
packed planes {0001}
 
/ {110}
 
and the close
-
packed directions
 
 
are parallel
 
[37
, 
38]
 
. 
 
Depending on the alloying element
s
, either
 
the
 
,
 
or both
,
 
can be 
retained an
d 
stabilized in Ti
-
alloy
s
. 
 
The elements that 
either 
maintain
 
or increase
 
the 
equilibrium 
temperature 
 
 
8
 
range of
 
the
 
-
field
 
-
stabilizers
,
 
such as 
a
luminum
 
(Al)
.
 
 
The elements that 
either 
maintain
 
or increase
 
the 
equilibrium 
temperature range of
 
the
 
phase
 
field
 
-
stabilizers
.
 
 
The m
-
stabilizers are 
v
anadium
 
(V)
, 
i
ron
 
(Fe),
 
and 
m
olybdenum
 
(Mo)
. 
Other alloying elements are neutral
,
 
such as zirconium
 
(Zr) and
 
tin
 
(Sn).  
Depending on the 
retained phase
 
or 
phases
, 
Ti
 
alloys are classified as 
either 
 
[34]
.
 
A three
-
dimensional phase diagram of Ti, with Al and V alloying additions, is 
presented 
in 
Figure 
2
.  The alloys that 
are
 
investigated in the current work are based on Ti
-
6Al
-
4V
, and 
were processed using conventional PM rolling and AM techniques.  Throughout this dissertation, 
ASTM (American society for testing and materials) grades for t
hree Ti alloys are used and their 
definition is given in 
Table 
2
.
 
 
 
Figure 
2
.
 
Three
-
dimensional phase diagram to 
classify Ti alloys
 
containing V and Al
 
(
reproduced from 
[37]
).
 
Table 
2
.
 
Chemical composition ranges for some relevant ASTM Grade Ti alloys.
 
ASTM 
Grade
 
 
Range
 
Maximum content
 
Aluminum
 
Vanadium
 
Carbon,
 
Oxygen
 
Nitrogen
 
Hydrogen
 
Iron
 
Other 
Elements
 
2/2H
 
-
 
-
 
-
 
-
 
0.08
 
0.25
 
0.03
 
0.015
 
0.3
 
0.4
 
5
 
5.5
-
6.75
 
3.5
-
4.5
 
0.08
 
0.2
 
0.05
 
0.015
 
0.4
 
0.4
 
23
 
5.5
-
 
6.5
 
3.5
-
4.5
 
0.08
 
0.13
 
0.03
 
0.0125
 
0.25
 
0.4
 
 
 
9
 
 
A detailed description of the standard microstructures and the mechanical properties of 
interest for the materials studied in this work are presented in the following section. 
 
2
.1.1. CP Ti
 
CP
 
Ti (grade 2 ASTM) is characterized by its 
-
phase microstru
c
tu
re and the presence of 
-
transus temperature 
(~ 910
 
) [35]. 
 
-
transus 
temperature
. 
 
With a fast cooling rate, 
C
P 
Ti ex
h
ibits a lamellar or lath
-
type morphology [39] 
(see 
Figure 
3
-
a)
.  In contrast,
 
equiaxed grains 
are obtained 
with slow
er
 
cooling rates [40] (see 
Figure 
3
-
b). 
 
The room temperature 
(RT) 
tensile properties of the Grade 2 
CP
 
Ti with these 
different
 
grain morphologies are pre
sented in 
Table 
3
. 
 
The most active deformation modes in 
CP
 
Ti are prismatic dislocation slip and twinning, both 
of which 
are not strongly temperature 
s
ensitive for temperatures between 
and 
[40]. 
 
Thermomechanical processing affects 
the mechanical properties of CP Ti significantly 
through changing the 
grain morphology and size.
 
 
Lamellar grains lead to an increase in the
 
ultimate tensile streng
th
 
(
UTS
)
 
and 
yield stress (
YS
)
 
and typically reduces the elongation
-
to
-
failure [35] (see 
Table 
3
).
 
 
Grain refinement
 
through severe plastic deformation i
mproves the 
strength, fatigue and creep properties but decreases the elongation
-
to
-
failure 
[41
 
-
 
43]
.
 
Table 
3
.
 
Tensile properties for
 
different CP 
Ti
 
microstructures. 
 
 
 
UTS (MPa)
 
YS (MPa)
 
Elongation (%)
 
Ref
 
morphology
 
673 ± 11
 
523 ± 11
 
24 ±1
 
[39]
 
 
564
 
440
 
-
 
[40]
 
Minimum values for 
CP Ti
 
343
 
275
 
20
 
[35]
 
 
 
 
10
 
 
Figure 
3
.
 
Example of the grain morphology in 
CP Ti
: a) lath type morphology [39], b) 
equiaxed 
morphology [40].
 
 
2
.1.2. Ti
-
6Al
-
4V 
 
Th
e second material used in this work is Ti
-
6Al
-
4V (Grade 5 ASTM).  This 
alloy is the 
most commonly used Ti
-
alloy
,
 
especially in
 
the
 
aerospace and
 
biomedical 
industrie
s.
 
 
In addition 
to Al and V, this alloy contains impurity elements such as C, O, N, Fe and Si [35].
 
 
temperature for this alloy is ~ 995
 
 
[35].
 
 
Ti
-
6Al
-
4V is a two
-
RT
.
 
 
-
phase volume 
percentage
 
varies between 5 
and 10 vol
. 
% [35]. 
 
The thermomechanical processing of this alloy
,
 
usually 
performed
 
-
phase 
field
,
 
a
ffects the grain morphology.
 
 
-
transus temperature 
int
-
phase field, 
-
-
phase. 
 
The 
final microstructure
, which
 
depends on the cooling rates and 
thermomechanical 
processing
, 
can 
be classified in
to
 
three 
primary
 
grain morphologies [35]:
 
-
 
Lamellar  
(see 
Figure 
4
-
-
phase lamellae and the size of 
the prior
-
 
colonies can vary depending on the cooling rate.
 
 
High coolin
g rates result in a 
martensitic structure (acicular)
,
 
whereas lower cooling rates result in the formation of a 
a
 
b
 
 
 
11
 
 
 
Decreasing the cooling rate causes an increase both in the 
-
phase lamellae and in the si
ze of the prior
-
 
 
colonies.
 
-
 
Equiaxed (see 
Figure 
4
-
b): Significant mechanical working (above 75% ) and subsequent 
-
phase
 
field can result in an equiaxed and recrystallized 
grain microstructure [37].
 
 
The temperature of the heat trea
t
-
phase 
volume fraction and the grain size.  
 
-
 
Bimodal
 
(see 
Figure 
4
-
c
): A mixture of lamellar and equiaxed grain
s
 
is
 
present in the 
final microstr
uc
ture.  
 
 
Figure 
4
.
 
Examples of the different microstructures found in 
Ti
-
6Al
-
4V: a) Lamellar, b) 
Equiaxed; c) Bimodal.
 
 
Figures are adapted from [44].
 
The mechanical properties of Ti
-
6Al
-
4V depend on the obtained microstructure, and in 
particular
,
 
[45
]
. 
 
a
 
b
 
c
 
 
 
12
 
2
.1.3. Additive manufacturing (AM) of Ti
-
6Al
-
4V
 
The traditional manufacturing of 
Ti
-
alloy
 
parts can be difficult, time
-
consuming and have 
both 
high material wastage and manufacturing costs. 
 
Additive manufacturing
 
(AM)
 
presents an 
attractive alternativ
e due to its capability to produce near
-
net
-
shape components with less 
production time and material waste 
[46]
. 
 
The growing interest in 
AM
 
as a viable processing 
solution to manufacture complex shapes led to the choice of 
AM
 
Ti
-
6Al
-
4V
 
to be 
investigated in 
this study. 
 
E
xample
s
 
of the different microstructures in Ti
-
6Al
-
4V produced by the three main 
AM techniques, namely 
D
irect 
E
nergy 
D
eposition (DED), Selective 
L
aser 
M
elt
ing
 
(SLM) and 
Electron 
B
eam 
M
elt
ing
 
(EBM) 
are
 
shown in 
Figure 
5
. 
 
The
 
AM Ti
-
6Al
-
4V usually exhibits a 
lamellar grain structure
 
at
 
the surface
 
(see
 
Figure 
6
-
a
)
 
an
d an
 
-
grains 
(see
 
Figure 
6
-
b
) along the build direction due to the rapid cooling rate
s [46].   
 
 
Figure 
5
.
 
-
6Al
-
4V by
:
 
a) DED 
[47]
;
 
b) SLM 
[48]
, 
c) EBM 
[49]
. 
Figure r
eproduced from 
[47]
.
 
 
For all these images, the build direction was vertical.  
 
B
uild 
D
irection 
 
a
 
b
 
c
 
 
 
13
 
 
Figure 
6
.
 
Micrographs of the macrostructure of Ti6Al4V SLM
: 
a
) side view parallel to the 
building direction (BD) showing the elongated prior 
 
grains; 
b
) top view perpendicular to the 
BD showing the lamellar grain morphology.
 
 
Figure reproduced from 
[48]
.
 
AM of Ti
-
6Al
-
4V typically produces parts that are harder than
 
conventionally
-
manufactured Ti
-
6Al
-
4V, i.e., higher YS and UTS, but with slightly lower elongation
-
to
-
failure 
[46
, 
50
, 
51]
. 
 
2
.2. RADIATION DAMAGE IN MATERIALS
 
2
.2.1. Radiation damage event
 
G. Was 
[23]
 
describes the radiation damage event as the energy tr
ansfer from the 
irradiating particle as it impacts a lattice atom 
[23]
.  The s
cattering of energetic particles from 
irradiation exposure 
imparts recoil energy
 
to the atoms in the materials.
 
 
When this recoil energy 
exceeds a critical value, called the thre
shold displacement energy 
(
T
d
)
, 
a primary knock
-
on atom 
(PKA) is created displacing the atoms in the crystal lattice.  The T
d
 
for Ti 
is 19.2+/
-
1 eV 
[52]
.  
Other knock
-
on atoms will be created inside the material resulting in a displacement cascade or a 
col
lection of point defects. Finally, the PKA terminates at an interstitial site in the lattice. 
 
 
a
 
b
 
 
 
14
 
The evolution of collision cascades can be 
divided into 
the following stages
 
[23]
:
 
i.
 
Collision stage: PKA displaces the atoms creating a cascade.
 
ii.
 
Thermal spike: 
This stage is characterized by a
 
local increase 
in
 
temperature due 
to 
the 
energy transfer. 
 
The atoms can be 
in 
a
 
near
 
molten stage. 
 
iii.
 
Quenched stage: The cooling down and recombination of some of the point 
defects
 
results in s
table vacancies
 
(V) and self
-
interstitial 
atoms (
SIA
)
. 
 
iv.
 
Annealing stage: 
The 
recombination
 
of the final damage
d
 
microstructure 
is 
assisted by thermal diffusion. 
 
This final stage lasts until all mobile defects escape 
the 
cascade region.
 
 
At this stage
,
 
defects can be obs
erved as small 
black dots 
in
 
TEM. 
 
Each damage cascade is thought to create a cluster of vacancies surrounded by the ejected 
interstitial atoms from the cascade core 
[53]
.  As a result of these damage cascades, 
high 
concentrations 
of point defects (PDs), b
oth 
vacancies and interstitials
,
 
are present 
in irradiated 
materials
.  These PDs are free to move in the material and can interact with each other or with 
defect sinks (dislocations, grain boundaries, free surface, interfaces).  These interactions are 
defi
ned as:
 
 
Recombination: The annihilation of V
-
SIA pairs. 
 
 
Clustering: V
-
V and SIA
-
SIA interactions resulting in a cluster of defects. 
 
 
Loss at defect sinks
.
 
T
he evolution of defect concentration
s
 
are 
describe
d
 
as a function of the
se
 
interaction
s 
using d
iffusional and rate theory 
[54]
 
per the following equation:  
 
 
Eq
.
 
1
 
 
 
15
 
W
here
:
 
C
v
 
= vacancy concentration; 
 
C
i
 
= interstitial concentration; 
 
K
0
 
= defect production rate
;
 
K
vi
 
= vacancy
 
K
vs
 
= vacancy
 
K
is
 
= interstitial
 
Radiation damage is, therefore, controlled by competing processes of clustering and loss 
at defect sinks.  
Vacancy clustering results in the formation of an atomic scale disc
-
shaped cavity 
that collapses 
into
 
a Frank dislocation loop with
 
Burgers vector
 
normal
 
to the plane of the loop
 
[55]
.  Similarly, interstitial clustering can result in the forma
tion of interstitial Frank loop by 
inserting an extra layer of atoms between two normal planes 
[56]
.
 
2
.2.2. Radiation
-
induced diffusion
 
The high point defect concentrations (
C
v
 
and 
C
i
)
 
created as a result of irradiation 
significantly enhance solid
-
state di
ffusion (much higher than in the case of thermal diffusion)
 
and 
depend on several parameters such as temperature, initial sink density, and irradiation dose 
rate
*
 
[57
, 
58]
.  The diffusion coefficient D
rad
 
for an irradiated pure metal is defined as a funct
ion 
of the diffusion coefficients for vacancies and interstitials and their corresponding defect 
concentrations:
 
 
 
 
 
 
 
 
 
 
Eq
.
 
2
 
 
*
 
Equivalent to the defect production rate.
 
 
 
16
 
An example of the evolution of 
D
rad
 
as a function of temperature 
(
)
 
for different dose 
rates and defect sink concentrations in copper (Cu) is presented in 
Figure 
7
 
[57]
. As the 
temperatu
re increases, D
rad
 
increases. The curves labeled 1, 2 and 3, enable a comparison of the 
effect of sink concentration (in this case dislocation densitie
d
) at the same defect production 
rate.  At the same temperature, for example
,
 
555
 
 
(see dashed red li
ne in 
Figure 
7
), D
rad
 
decreases as a function of the increasing sink density. Increasing the dose rate (see curve 4) 
significantly increases the diffusion.
 
 
Figure 
7
.
 
Calculated D
rad
 
for
 
self
-
diffusion
 
of
 
Cu
 
as
 
a
 
function
 
of
 
temperature for
 
different 
combinations of defect production rates and dislocation densities. 
 
1: K
0
 
=10
6
 
dpa/s, 
 
d
 
= 10
11
 
m
2
, 2: K
0
 
=10
6
 
d
=10
14
 
m
2
, 3: 
K
0
 
=10
6
 
dpa/s
d
 
=
10
15
 
m
2
, 4: K
0
 
= 10
4
 
dpa/s, 
d
 
= 
10
11
 
m
2
.  Figure adapted from 
[57
, 
59]
.
 
At lower temperatures, most point defects are annihilated by recombination.  At higher 
temperatures, point defect diffusion to sinks causes an inverse flux of sol
ute elements from 
interstitial type point defects.
 
 
Th
ese biased 
ux
es
 
of point defects and solutes and/or alloying 
element
s
 
lead to enrichment or 
depletion close to sinks
,
 
known as radiation
-
induced segregation 
1000 K 
 
333
 
K 
 
555
 
K 
 
 
 
17
 
(RIS) [23
, 
60]
.  
Figure 
8
 
presents an example of solute segregatio
n at the grain boundaries as a 
result of RIS in a neutron
-
irradiated 300 series stainless steel.  Cr, Ni, Si and P concentrations 
across the grain boundary were homogeneous before irradiation.  After being exposed to 
neutrons at 
300
 
is shown, while the Ni, Si 
and
 
P 
concentrations increased
 
[59]
.
 
 
Figure 
8
.
 
Radiation
-
induced segregation of Cr, Ni, Si and P at the grain boundary of a 300 series 
stainless steel irradiated in a light water reactor core to
 
several
 
dpa at
300
 
reproduced from 
[57]
 
(
after 
[59]
)
. 
 
At even higher temperatures, the segregated elements diffuse back into defect sinks and a 
quasi
-
steady state may be reached during irradiation.
 
 
 
Figure 
9
 
summarizes the effect of temperature and dose rate on the diffusion and 
highlights the three different domains:
 
Recombination, RIS and back diff
usion. 
 
For 
CP Ti
 
and 
using a melting temperature T
m
 
equal to 
1600
 
 
(1360 K)
 
[35]
, the equivalent irradiation 
temperatures T(
) are indicated on the right
-
hand axis. 
 
 
 
18
 
 
Figure 
9
.
 
Temperature
 
and dose rate
 
(dpa/s)
 
effect on 
RIS
.
 
 
The f
igure is 
adapted
 
from 
[61]
.
  
The 
temperature in the left
-
hand axis is in K. 
 
For 
CP Ti
 
and using a melting temperature 
(
T
m
) 
of 
1600
 
 
(1360 K)
 
[35]
, the 
equivalent irradiation temperatures T(
) are indicated on the right
-
hand axis.
 
This
 
radiation
-
enhanced diffusion promotes the motion of point defects inside the 
material and causes profound changes 
to
 
the microstructure
 
such as 
dislocation loops, bubbles 
and voids
 
[23]
.
  
Phase transformations can
 
also
 
occur in the material due to 
local e
nrichment or 
depletion of solutes
 
[23]
.
 
 
A description of the radiation
-
induced microstructural changes in Ti 
alloys is provided in section 2.
3
.
 
2
.2.3. Influence of the irradiating particle
 
Radiation damage in Ti alloys was investigated using 
neutrons 
[12]
, protons 
[13
, 
14]
 
and 
ions 
[11
, 
15]
.  Therefore, understanding the effect of the irradiating particle is necessary. 
 
First, 
a fundamental parameter that 
describes the radiation
-
induced
 
lattice displacement 
events 
needs to be
 
defined
.
  
pa
 
or di
splacement per atom is the unit conventionally 
used to quantify the radiation damage
 
[23]
.
 
 
It is a damage
based exposure unit and represents 
the number of atoms displaced from their 
regular
 
lattice sites as a result of energetic particle 
bombardment.
  
Dpa
 
is
 
also used to compare radiation damage by different radiation sources.
 
 
 
 
 
Calculated irradiation temperature 
-
Ti 
Grade 2
 
 
 
19
 
The
 
main differences between these irradiations are damage depth and the dose rate.  The 
smaller the projectile, the smaller the energy transfer to the impacted lattice atoms and the longer 
its trajectory resulting in greater damage depth 
[23]
.  Large particl
es, such as heavy ions, 
displace more atoms in their trajectories but are stopped much sooner.  A schematic 
representation of the cascade morphologies (displaced atoms along the 
trajectory of the incident 
particle) as a result of 1 MeV ion, proton, and neu
tron irradiation in Ni is 
shown
 
in 
Figure 
10
.
 
 
Figure 
10
.
 
Damage cascade mo
rphologies for different irradiating particles with the same 
incident energy of 1 MeV. 
 
The f
igure 
is 
adapted from 
[23]
.
 
Neutron irradiations have dose rates (dpa/s) that are typically 10
2 
-
10
3
 
lower than for 
proton irradiations, which are 2
-
3 times lower 
than ion irradiations 
[62]
.  Additionally, neutron 
irradiation in a nuclear reactor environment is characterized by transmutation reactions, most 
importantly, helium (He) production that can further embrittle the material.
 
Ion irradiation 
experiments have been used to simulate radiation damage in nuclear 
environments for decades.  The advantages of using this type of particles are mainly the high 
dose levels achieved in extremely short irradiation times and the non
-
activation of the samples
 
allowing their manipulation outside of hot cells
*
 
[62]
.  The extent of the induced damage 
 
*
 
Shielded nuclear radiation containment chambers
.
 
1 MeV heavy ions
 
1 MeV protons
 
1 MeV neutrons
 
 
 
20
 
depends on t
he size of the projectiles
 
and their energy.
 
 
The lower the energy of the ion beam, 
the higher the damage created
 
[23]
.
 
T
he range
 
of slow charged ions
 
in the material is small and the
ir
 
energy loss is dominated 
by elastic collisions (nuclear stopping).
 
 
Ions of high kinetic energy
,
 
or Swift 
H
eavy 
I
ons (SHI)
,
 
do not interact directly
 
with the atoms but 
rather 
with the electrons of th
e target
, 
inducing 
ionization and electronic excitation processes. 
 
The 
ion 
range is then 
extensiv
e and a cylindrical 
region of extremely high ionization density 
along
 
the ion path
 
can be observed.  This amorphized 
area is referred to as ion tracks 
[63]
.
  
Ion irradiation does not only change the arrangement
 
of 
atoms
 
inside the material
,
 
but 
it can
 
also 
cause a chemical mo
dification of the composition
 
in the 
case of implantation
. 
 
2
.2.4. Irradiation damage in 
hcp
 
metals
 
2
.2.4.1. Microscopic effects
 
2
.2.4.1.1
. Dislocation loop formation
 
Th
e main defects observed in irradiated metals are dislocation loops resulting from 
vacancy and interstitial clusters. 
 
Depending on the flux of point defects, these loops can either 
shrink or grow 
[23]
.
  
Additionally
,
 
in non
-
cubic metals, the point
-
defect diffusion
,
 
c
alled 
diffusional anisotropy difference (DAD)
,
 
was shown to be anisotropic
 
t
hrough atomistic 
computations, especially for SIA migration 
[64]
.
 
 
Once the loops reach a critical size, they 
become
 
stable and grow until they unfault by
 
either
 
interaction with other loops or with the 
network dislocation density
 
[23]
.
 
 
 
21
 
The
 
different 
dislocation loops 
observed in 
hcp
 
materials 
are summarized in 
Table 
4
.
  
In 
irradiated 
hcp
 
materials, the most commonly observed loops are those nucleating in the basal and 
prismatic planes referred to as c
-
component loops and  loops respectively 
[65]
.
 
 
Table 
4
.
 
D
islocation loops in 
hcp
 
materials, their habit planes and Burgers vectors.
[66]
 
Notation
 
Habit plane
 
Burgers vector
 
 
{0001}
 
 
 
{0001}
 
 
 
 
 
 
 
 
During
 
the
 
collision 
stage 
of
 
the 
cascade
 
evolution,
 
the 
crystal structure is not important
 
since t
he high kinetic energy of the cascading atoms is significant
 
and ballistic effects cause the 
displacement of the atoms
.
 
 
Later on, 
during 
the 
cooling down
, when the kinetic energy 
decreases significantly, 
the evolution of the defects (defect motion
) 
depends on the crystal 
structure
 
[67]
.  Molecular dynamic (MD) simulations yielded a possible relationship between 
l
oop habit nucleation planes 
and
 
the c/a rati
o
 
in hcp materials
 
[68]
.  
The anisotropy of the 
interstitial diffusion is expected to depend on th
is
 
c/a
 
ratio, 
where it is
 
weakest for 
values 
close to 
the ideal ratio
 
(
 
[69]
.  Sinc
e c/a 
ratios for Ti (1.586) and Zr (
1
.
59
) are below this ideal ratio, 
sim
ilar radiation damage structures with dominant basal loops were expected. 
 
Experimentally, t
his rule 
was proven to be inaccurate 
for
 
both 
Ti 
[70]
 
and 
Zr 
[71]
 
a
s both 
basal and prismatic loops were observed.
 
 
Basal and prismatic
 
loops form
ed
 
at different levels of 
 
 
22
 
irradiation and were shown to have different impacts on the property degradation of 
these
 
alloys
 
[65
, 
72
 
-
 
7
6
]
.
 
For Zr, the size of the  loops increases non
-
linearly with temperature, while the loop 
density decreases as temperatu
re increases 
[77]
.
 
 
An example of the observed  loops in Zr is 
shown in 
Figure 
11
. 
 
The existence of these small loops in the microstructure was the c
ause of 
the strength increase and elongation
-
to
-
failure reduction in irradiated
 
materials 
[21
, 
72]
. 
 
 
 
 
Figure 
11
.
 
Prismatic  dislocation loops observed in Zr at different irradiation conditions: a) 
Pre
-
 
and beam direction  B~[0001] [20]; b) After neutron irradiation at about 4
of ~ 50 dpa.
 
 
Diffracting vector 
, beam direction 
 
[76]
.
 
The 
c
-
component
 
loops nucleate at higher doses and temperatures and are 
associated
 
with
 
accelerated
 
irradiation
-
induced growth
 
or swelling
 
[74
, 
77]
.
 
 
C
-
component di
slocation loop 
nucleation is thought to occur during the collision cascade stage 
[66]
 
and they can be both 
vacancy and interstitial type in Zr, Ti and Mg 
[75]
.
 
 
Figure 
12
 
shows an example of c
-
component 
loops observed in electron irradiated Zn and neutron
-
irradiated Zr. 
 
When imaged with a 
diffraction vector g = 0002, only c
-
component loops are visible ( loo
ps invisible ) and they 
are oriented edge
-
on ( 
Figure 
12
-
b). 
 
a
 
b
 
 
 
 
23
 
 
 
Figure 
12
.
 
Basal
-
plane dislocation loops observed in : a) Electron irradiated Zn (hcp) at 0
 
 
imaged with 
, beam direction near 
; b) 
Zr following neutron irradiation to a 
fluence of 1.5 x l0
26
 
neutrons.m
-
2
 
at 427
 
The 
c
-
component
 
loops are in an edge
-
on 
orientation (red arrowed) with 
g
 
= 0002.
 
 
The f
igure is adapted from 
[75]
.
 
T
he 
c
-
component
 
dislocation loop stability and evolution depend on the temperature, the 
dose
,
 
and the present alloying and impurity elements
 
[74
, 
77
, 
20]
.
  
In Zr, c
-
component loops 
were only observed after reaching a threshold incubation dose (TID) that was dependent on the 
temperature and the distribution of impurities 
[78]
. 
 
TID decreased as the temperature increased 
and the presence of large Zr
3
(Mo,Nb,Fe)
4
 
secondary phase precipitates (SPPs) was linked to the 
earlier nucleation of c
-
component loops (See 
Figure 
13
)
.  Fe content specifically promo
ted c
-
component loop nucleation 
[78]
. 
 
 
 
a
 
b
 
0.5 
 
 
24
 
 
Figure 
13
.
 
TID for the formation of 
c
-
component
 
loops plotted as a function of temperature for 
two Excel alloys after two different heat treatments: 
Heat 1
: 
Zr
-
Excel afte
r two hours of solution 
treatment at 890°C followed by water quenching and one
-
hour aging at 450°C 
not 
showing
 
any 
SPPs
; 
Heat 2
: 
Zr
-
Excel after being solution treated and aged for 550 h at 500
 
SPPs
.
  
The figure is reproduced from 
[78]
.
 
2
.2.4.1.2. Chemical changes
 
Irradiation can cause ch
e
mical changes in materials as a result of the ballistic effects
*
 
and 
the RIS under certain combinations of dose rate and temperatures (see 
Figure 
9
)
.
 
 
These 
transformations are not dependent on the crystal structure and 
have been
 
observed in a variety of 
materials (
[61
, 
60
, 
79
, 
80]
). 
 
An example of RIS of Fe and Sn at grain bou
ndaries of 
-
phase 
grains o
bserved in Zr
-
Excel alloys after 1 MeV Kr ion irradiation at 400
 
 
and 10 dpa is shown 
in 
Figure 
14
 
[78]
.
 
 
In the same
 
Zr
-
alloy, precipitate formation, dissolution, and amorphization 
were also observed
 
[78]
.
 
 
 
 
*
i.e. 
E
jection of atoms during 
collision 
cascades
.
 
Heat 1
 
Heat 2
 
 
 
25
 
 
 
Figure 
14
.
 
EDS mapping on an 
 
grain boundary where the 
 
phase is absent, in 
Zr
-
Excel 
sample
: a) Unirradiated 
sample; b) A
fter irradiation 
up 
to 10 dpa at 400 °C
 
showing segregation 
of Fe 
and Sn 
clusters along the grain boundary
.  The figure is reproduced from 
[78]
.
 
 
 
2
.2.4.2. Macroscopic effects
 
2
.2.4.2.1. Radiation hardening
 
Glide or conservative motion occurs when 
a
 
dislocation
 
line
 
moves in the surface that 
contains both its line and 
its
 
Burgers vector
 
[81]
.  A
 
dislocation able to move in this way is 
called 
glissile, 
while 
one that cannot is called sessile. 
 
Climb or noncons
ervative motion occurs when 
the dislocation moves out of the glide surface and thus normal to the Burgers vector. 
 
Glide of 
many dislocations results in slip, which is the most common manifestation of plastic deformation 
in crystalline solids.
 
 
Slip
 
is the
 
sliding or successive displacement of one plane of atoms over 
another on slip 
planes.
 
 
The d
iscrete blocks of crystals between two slip planes remain 
undistorted.
 
 
Further deformation occurs either by more movement on existing slip planes or by 
the format
ion of new slip planes 
[82]
.
 
a
 
b
 
 
 
26
 
The mobility of the defects depends on the nature of the dislocations (sessile or glissile), 
which depend on the crystal structure (see 
Table 
5
) and the stacking fault energy 
[83]
.
 
 
Sessile 
loops
 
cannot glide
 
and
 
can
 
act as nucleation sites for the growth of extended defects
 
[83
, 
81]
.
 
 
The intrinsic glissile/sessile nature of dislocations, both interstitial and vacancy in metal
s with 
different crystal structures, are presented in 
Table 
5
. 
 
Table 
5
.
 
Summary
 
of
 
Burgers
 
vectors
 
of
 
glissile
 
and
 
sessile
 
loops
 
in
 
fcc,
 
bcc
 
and
 
hcp
 
lattices
. 
This table is reproduced from 
[81]
 
BCC
 
b
 
= 
 
Glissile
 
b
 
= 
 
Glissile
 
FCC
 
b
 
= 
 
Glissile
 
b
 
= 
 
Sessile
 
HCP
 
b
 
= 
 
Glissile
 
b
 
= 
 
Sessile
 
 
2
.2.4.2.2. 
Radiation
-
induced swelling
*
 
R
adiation
-
induced swelling is the dimensional change that occurs without applied stress 
in hcp metals [23].
 
 
The mechanisms of this swelling in recrystallized Zr can be summarized in 
three stages 
[64]
 
(see 
Figure 
16
) and are explained by the 
diffusional anisotropy difference 
(DAD).
 
 
In the DAD model, SIAs are more mobile on the basal plane and vacancies have 
anisotropic diffusion. 
 
As a result, grain boundaries and dislocations parallel to the c
-
component 
axis absorb most interstitial atoms formed after irradiation leading to
 
elongat
ion along the  
axis and a contraction along the 
 
axis 
[64]
.
 
 
In the first stage (1), fast growth is observed due 
to the absorption of a high concentration
 
of
 
SIAs.
 
 
In the second stage (2), stationary growth is 
 
*
Also called irradiation growth (IG). 
 
 
 
27
 
reached with a high density of intersti
tial  loops.
 
 
The last stage
 
(3), referred to as
 
breakaway 
growth
, 
is characterized by the high density of c
-
component
 
loops. 
 
 
Figure 
15
.
 
Schematic representation of t
he three 
stages
 
of 
irradiation
-
induced swelling in
 
recrystallized zirconium alloys
 
[64]
.
 
 
Figure 
16
.
 
Irradiation
-
induced swelling
 
accelerating gro
wt
×
10
25
nm
2
 
The f
igure 
is 
reproduced 
from 
[84]
.
 
 
 
1
 
2
 
3
 
Stage 1
 
Stage 2
 
Stage 3
 
 
 
28
 
2
.
3
. RADIATION DAMAGE IN TI
-
ALLOYS
 
In the following sections, a survey of the published data 
on radiation damage in Ti and 
Ti
-
6Al
-
4V will be presented, starting with the microstructural changes and later describing the 
effect on the mechanical properties. 
 
2
.
3
.1. Changes in microstructure 
 
2
.
3
.1.1. In Ti
 
Similar to other hcp metals, the
 
dislocation loops form
ed
 
in 
irradiated 
-
phase 
T
i are
 
 
type dislocation
 
loops with the Burgers vector 
 
and
 
c
-
component
 
loops with 
Burgers vectors
 
and 
 
[70]
. 
 
Examples of the reported  dislocation loops in Ti irrad
iated with neutrons
 
[70]
, 
protons [14
, 
85]
 
and ions 
[86]
 
are presented in 
Figure 
17
, 
Figure 
18
 
and
 
Figure 
19
 
respectively.  
These loops were homogeneously distributed in the grain at the different
 
temperatures and doses.
  
Preferential alignment of  type loops in bands parallel with (0001) was only
 
observed in 
neutron
-
irradiated cold worked Ti (see 
Figure 
17
-
b).
 
 
In Ti,  type loops are mainly interstitial, 
while most c
-
component loops are vacan
cy type 
[70]
.  
 
 
 
29
 
 
Figure 
17
. 
 dislocation loops in neutron
-
irradiated samples at 347
 
: a) annealed Ti 
irradiated to a fluence of 3.4×10
25
 
n.m
-
2 
; b) 64% cold
-
worked Ti irradiated to a fluence of 
4.03×10
25
 
n.m
-
2
[70]
.
 
 
Figure 
18
. 
High purity Ti irradiated with 590 MeV protons at: a) 25
 
 
and 0.03 dpa 
[85]
, 
 
b) 250
 
 
and 0.09 dpa, 
 
[14]
.
 
 
2
 
µm
 
2
 
µm
 
a
 
b
 
50 nm
 
a
 
b
 
 
 
30
 
 
Figure 
19
.
 
Microstructure of CP Ti grade 2 showing 
type dislocation loops after irradiation 
at a dose of 3 dpa with 6 MeV Ti ions at: a) 300
 
°C; b) 430
 
°C
 
[86]
.
 
Observations of 
c
-
component
 
loops in Ti
 
were reported in 
[70]
 
and 
[86]
.
 
 
An example of 
these loops is shown in 
Figure 
20
 
for grade
 
2
 
Ti irradiated with 6 MeV 
Ti 
ions up to 3 dpa
 
[86]
. 
 
Compared to 
c
-
component
 
loops in Z
r
 
(see 
Figure 
12
-
b), these edge
-
on loops were not straight. 
Their curved appearance is enhanced at higher temperature
s 
(see 
Figure 
20
).
  
This phenomenon 
could be explained by 
dislocation
 
loop climbing as a result 
of
 
vacancy absorption which is 
enhanced at higher temperature
s
 
[87]
.
 
 
Figure 
20
.
 
The m
icrostructure of CP Ti grade 2 showing 
c
-
component
 
dislocation loops after 
irradiation at a dose of 3 dpa with 6 MeV Ti ions at a) 300°C; b) 430°C
 
[86]
.
 
a
 
b
 
a
 
b
 
 
 
31
 
2
.
3
.1.2. In Ti
-
6Al
-
4V 
 
The reported changes in the microstruct
ure of the 
-
alloy were similar to CP Ti 
except for radiation
-
induced precipitation. 
 
Examples of the observed  type dislocations in 
irradiated Ti
-
6Al
-
4V 
with neutron 
[88]
 
and ions [17] are
 
shown in 
Figure 
21
. 
 
At high 
-
rich precipitates were observed as a result of irradiation 
(see 
Figure 
22
). 
 
 
Figure 
21
.
 
Microstructure after irradiation of Ti
-
6Al
-
4V with: a) Neutrons at 50
 
 
and up to 
 
0.3 dpa 
[88]
; b) 6 MeV ions 
at 430
 
 
0.6 dpa 
[17]
. 
 
 
Figure 
22
.
 
Precipitates observed in Ti
-
6Al
-
4V irradiated with: a) neutrons at 50
 
 
and up to 
 
0.3 dpa
 
[88]
; b)
 
6 MeV ions at 430
 
 
and for a dose of 
3 dpa 
[17]
.
 
200 nm
 
a
 
b
 
a
 
b
 
 
 
32
 
A 
detailed summary of the changes in the microstructure of Ti
-
6Al
-
4V at different doses 
and temperatures is presented in 
Table 
6
.  As previously discussed,
 
radiation
-
enhanced diffusion 
promotes the mobility of point defects inside the Ti
-
alloy 
leading to
 
the formation of the reported 
dislocation loops at all temperatures 
[60]
.  The effect of the dose on the density and size of these 
loops was not significant
 
[
17, 
88]
.  However,
 
the increase in temperature was followed by an 
-
-
phase grains 
[88
 
-
 
90]
 
(see 
Figure 
23
-
stabilizer, is related to phase transformations.  In fact, at temperatures higher than 350
 
 
and for 
-
to
-
 
transformation was reported 
[89
, 
90]
. 
 
 
 
Figure 
23
.
 
Needle tip 3D reconstruction (
Atom Probe Tomography (
APT
)
 
analysis): spatial 
distribution of 
Ti
,
 
Al,
 
and 
V
 
in Ti
-
6Al
-
4V alloy irradiated at the dose of 3 dpa, high flux, at the 
temperature of: a) 300
 
°
C and b) 430
 
°
C. 
 
Figure reproduced from 
[17]
.
 
a
 
b
 
 
 
33
 
Table 
6
.
 
Summary of TEM observations in irradiated Ti
-
6Al
-
4V
 
[17
, 
8
8 
-
 
90]
.
 
Irradiating particle
 
Temperature and dose
 
Microstructure change 
observations
 
Ref
 
Neutrons
 
 
A high concentration of 
uniformly distributed defect 
clusters in the 
-
phase
 
[88]
 
Neutrons
 
 
Defect clusters density 3×10
22
 
m
-
3
 
[91]
 
Neutrons
 
 
Defect clusters density 2×10
22
 
m
-
3
 
[91]
 
17.5 MeV Cu
4+
 
dpa
 
Small and dense dislocation loops
 
[16]
 
Neutrons
 
 
Coarse dislocation loops
 
nm)
 
[88]
 
6 MeV Ti 
ions
 
 
Dislocation loops (~ 7 nm 
diameter) and very small 
precipitates (less than nm)
 
[17]
 
6 MeV Ti ions
 
 
Dislocation loops (~ 9 to 8 nm 
diameter)
 
Platelet like precipitates 16 nm × 
3 nm and decreased to 
× 3 
at
 
the higher dose.
 
[17]
 
17.5 MeV Cu
4+
 
 
Dislocation loops up to 350
 
o
C
 
At 
450
o
C
 
-
phase precipitates in 
 
phase
 
[16]
 
Neutrons
 
dpa
 
-
phase precipitates in 
 
phase
 
[90]
 
9 MeV Al ions
 
500
 
 
-
phase precipitates in 
 
phase 65 
nm and a density of 1.2 10
15
 
m
-
3
 
[92]
 
9 MeV Al ions
 
550
 
 
-
phase precipitates in 
 
phase 87 
nm and a density of 2 10
15
 
m
-
3
 
[92]
 
Neutrons
 
 
Extensive void formation
 
Coarse 
-
precipitates
 
[90]
 
9 MeV 
Al ions
 
600
 
 
-
phase precipitates in 
 
phase 
140 nm and a density of 5.3 10
14
 
m
-
3
 
[92]
 
9 MeV Al ions
 
650
 
 
-
phase precipitates in 
 
phase 
400 nm and a density of 6 10
12
 
m
-
3
 
[92]
 
9 MeV Al ions
 
 
none
 
[92]
 
 
 
34
 
2
.
3
.2. Changes in 
mechanical properties 
 
These radiation
-
induced microstructural changes in Ti and Ti
-
6Al
-
4V are expected to 
cause changes in the mechanical properties. 
 
Similar to Zr, radiation
-
induced swelling is expected for Ti [70] and was found to be 
between 1.5% and 5
% for neutron
-
irradiated Ti
-
6Al
-
 
 
The radiation
-
induced hardening as a function of dose and temperature for Ti and 
 
Ti
-
6Al
-
4V is plotted in 
Figure 
24
 
and 
Figure 
25
.  At low temperatures, an increase in the dose 
(up to 0.03 dpa) was linked to an increase in
 
hardness for both materials [1
2, 
1
4, 
33
,
 
93].  For CP 
Ti and Ti
-
6Al
-
4V, the effect of the temperature is unclear as there is not enough data for trends 
to emerge.  This will be addressed and evaluated in this dissertation work. 
 
 
Figure 
24
.
 
Change in hardness plotted for
 
CP Ti
 
samples: Irradiated with 6 MeV Ti ion beams 
from 
[33]
 
(empty black triangle); Irradiated with 7 MeV proton beam from 
[93]
 
(blue +); High 
purity Ti irradiated with 590 MeV proton beam from 
[14]
 
(blue and red ×); The irradiation 
temperature for each s
et of samples is indicated in the legend.
 
0
1
2
0.0001
0.001
0.01
0.1
1
10
(GPa)
Dose (dpa)
6 MeV Ti 
-
7 MeV Proton 
-
590 MeV protons 
-
590 MeV protons
-
 
 
35
 
 
Figure 
25
.
 
Change in hardness plotted for Ti
-
6Al
-
4V
 
samples: Irradiated with 6 MeV Ti ion 
beams from 
[33]
 
(empty black triangle); Irradiated with 7 MeV proton beam from 
[93]
 
(blue +); 
Irr
adiated with neutrons from 
[12]
 
(green *); Irradiated with 590 MeV proton beam from 
[13]
 
(red ×); The irradiation temperature for each set of samples is indicated in the legend.
 
In addition to this increase in hardness, neutron irradiatio
n
s decreased both 
the
 
i
nitiation 
fracture toughness
 
[88]
 
(see 
Figure 
26
-
a ) and the 
t
otal and uniform elongation in Ti
-
6Al
-
4V 
(see 
Figure 
26
-
b
 
) 
[4]
.
 
 
 
Figure 
26
.
 
in 
Ti
-
6Al
-
4V
 
on
: a) 
F
racture toughness 
[88]
;
 
b) 
T
otal 
(TE) and uniform elongation (UE) of Ti
6Al
4V 
[4]
.
 
 
0
1
2
0.0001
0.001
0.01
0.1
1
10
Hardness (GPa)
Dose (dpa)
6 MeV Ti 
-
7 MeV Proton 
-
Neutron -Tirr=60 and Ttest=50
590 MeV protons
-
a
 
b
 
 
 
36
 
2
.
4
. SUMMARY
 
This background chapter explored published information on the 
microstructure of Ti and 
Ti
-
alloys and the changes in microstructure and mechanical properties as a result of radiation 
damage, highlighting aspects that are relevant to the current work.  A summary of the
 
reviewed 
effects of 
thermomechanical processing on
 
the properties 
of unirradiated Ti alloys is presented in 
Table 
7
.
 
 
Radiation damage mechanisms in materials in general
 
and, more specifically, in 
conve
ntionally manufactured 
Ti alloys were reviewed and the main effects are 
listed in 
Table 
8
.
 
Table 
7
.
 
Summary of the effect of 
the microstructure on the properties of Ti alloys (
adapted
 
from 
[94]
). 
 
 
Microstructure
 
Strength
 
Ductility
 
Fracture toughness
 
Grain Morphology
 
Lamellar
 
+
 
 
+
 
Equiaxed
 
+
 
+
 
 
Grain size
 
Fine grain
 
+
 
 
+
 
Coarse grain
 
 
+
 
 
Alloy phase 
 
 
 
 
+
 
 
+
 
+
 
++
 
Table 
8
.
 
Radiation effects and their results in the material
.
 
Effect
 
Consequence in material
 
Type of degradation in 
component
 
Displacement damage
 
Formation of point 
defect clusters
 
Hardening, 
embrittlement
 
Irradiation
-
induced 
segregation
 
Diffusion of detrimental 
elements to grain 
boundaries
 
Embrittlement, grain 
boundary cracking
 
Irradiation
-
induced phase 
transitions
 
Formation of phases not 
expected according to 
phase diagram, phase 
dissolutio
n
 
Embrittlement, softening
 
Swelling
 
Volume increase due to 
defect clusters and voids
 
Local deformation, 
eventually residual stresses
 
 
 
37
 
A critical review of the literature reveals the following knowledge gaps relevant to 
radiation damage in Ti 
alloys:
 
(1)
 
Generally, there is a lack of data on radiation damage in Ti alloys compared to other 
materials such as iron and zirconium
 
alloys.
 
(2)
 
The evolution of radiation hardening due to high
-
temperature irradiations, especially at 
temperatures of interest to 
different doses. 
 
(3)
 
The quantification of the radiation
-
induced dislocation loops as a function of dose and 
temperature is limited. 
 
(4)
 
The c
-
component loops are rarely characterized and their threshold
 
incubation dose has yet 
to be investigated. 
 
(5)
 
All defects were characterized after irradiations.  Observation of the
 
evolution of damage 
structures as a function of dose and temperature through 
in situ
 
TEM irradiation 
experiments has yet to be performed.
 
(6)
 
The effect of the thermomechanical processing on the radiation damage resistance has not 
been clearly studied.
 
(7)
 
The effect of alloying on the radiation damage in Ti
-
6Al
-
4V by varying alloy composition 
ha
s yet to be investigated.
 
(8)
 
Bulk mechanical testing of irradiated materials would allow for a better understanding of 
the dose/temperature dependence in Ti
-
alloys.
 
This dissertation work addresses a few of these gaps, namely (1) and (2), by performing 
ion
-
ir
radiation experiments on the commonly used Ti
-
6Al
-
4V alloy at two different temperatures 
-
listed points, (6) and (7), are addressed by 
 
 
38
 
comparing radiation damage in CP Ti and two Ti
-
6Al
-
4V alloys with different
 
microstructures 
and slightly different chemical compositions.  Finally, 
in situ
 
TEM
 
irradiation 
at the IVEM 
facility was used t
o investigate the evolution of radiation damage
 
and per
for
m
 
quantitative 
microstructural studies
 
[18]
 
[19]
.
 
 
This
 
dissertation f
ocuses on the nucleation of 
radiation
-
induced defects
, specifically dislocation loops ( and c
-
component loops),
 
a
t 
initial damage 
stages and 
their
 
accumulation at higher dose levels result
ing 
in 
the final 
complex 
microstructure 
(see points (3)
-
(5))
. 
 
Ne
utron irradiation experiments and subsequent mechanical testing are 
outside of the scope of this work and are recommended for future work in Chapter 
6
. 
 
 
 
 
 
39
 
CHAPTER 
3
 
EXPERIMENTAL METHODS
 
 
 
In this chapter, the materials and experimental procedures used in t
his dissertation work 
are described.  The experimental conditions for 
in situ
 
and 
ex situ
 
irradiations are presented. The 
details of the TEM specimen preparation and the characterization methods are also included.  
Finally, the nanoindentation testing meth
od and the dispersed barrier hardening model used to 
clarify structure
-
mechanics relationships are described. 
 
 
3
.1. MATERIALS
 
Three different materials were investigated in this study: 
CP 
Ti
 
(ASTM 
Grade 2
)
, 
 
Ti
-
6Al
-
4V
 
( ASTM 
Grade 5
)
 
PM
 
rolled
 
and
 
Ti
-
6Al
-
4V
 
(ASTM 
Grade 23
)
 
AM
*
. 
 
The description 
of the Grade 2 CP Ti material, provided by the National Energy Technology Laboratory (NETL) 
in Albany, Oregon, can be found in 
[95]
. 
 
The or
i
ginal 
CP 
Ti powder was produced through the 
Armstrong process 
[96]
, 
which is a metal halide reduction process where Ti tetrachloride metal 
gas is injected in liquid sodium to produce Ti metal.
 
 
The Ti sponge, which is an output of the 
Armstrong process, was later compacted into an electrode and melted. 
 
The resulting 150 m
m 
diameter ingot was triple vacuum arc remelted and then upset forged, forge flattened, and 
squared before rolling.
 
 
us.
 
The 
AM 
Ti
-
6Al
-
4V samples in this study were provided by Linear Mold, Livonia, 
Michigan. 
 
The thermomechanical process used in this case was direct metal laser sintering 
 
*
 
See 
Table 
2
 
for the
 
description of ASTM grades.
 
 
 
40
 
(DMLS) followed by hot isostatic pressing (HIP) at 1050 ºC. 
 
The AM process is depi
cted in 
Figure 
27
. 
 
DMLS is a laser
-
based technique where the metal part 
is built layer by layer
 
[97]
. 
 
First, the printing machine deposits a film of the metal powder. 
 
Then, the high power laser 
beam, directed on the powder bed, fuses the metal powders present in its focal zone, according to 
a computer
-
assisted
-
design (CAD) file. 
 
This creates one metal la
yer. 
 
The platform moves down 
the preprogrammed layer thickness and the process de
s
cribed above is repeated until the part is 
fabricated
 
[98
, 
99]
. 
 
Since the build direction is an important parameter for AM 
[100
 
-
 
102]
, all 
samples used in this study were 
from the same build direction.  The build direction for the 
samples used in the current work is illustrated in 
Figure 
28
.  The layers were added horizont
ally 
from the bottom to the top as shown in 
Figure 
28
.  The Grade 23 
Ti
-
6Al
-
4V powder used was 
provided by Linear Mold and its composition is presented 
in 
Table 
9
.
 
 
The powder had a 
spherical geometry and an average diameter of 45 µm.
 
The exact processing history of the 
Ti
-
6Al
-
4V Grade 5 powder metallurgy
 
rolled
 
samples 
a
re not known.  The samples studied in this dissertation were all made from a rolled plate of 0.5 
mm thickness. 
 
 
 
41
 
 
Figure 
27
.
 
Representation of the powder bed process used by Linear mold © for the AM of the 
Ti
-
6Al
-
4V alloy. 
 
This figure was provided by 
Linear Mold, Livonia, Michigan.
 
Table 
9
.
 
Ti
-
6Al
-
4V
 
 
Grade 23
 
powder composition used 
in the DMLS process
.
 
 
Figure 
28
.
 
Schematic representation of the build direction during DMLS. Three layers of the 
deposited material are represented. 
 
 
 
Ti
 
Al
 
V
 
Fe
 
O
 
N
 
C
 
wt.%
 
Bal
 
6.3
-
6.4
 
4
 
0.18
 
0.09
-
0.13
 
0.02
 
0.01
 
Build Direction
 
 
 
42
 
3
.2. SAMPLE PREPARATION
 
3
.2.1. Metallurgical samples
 
The samples were mechanically polished using silicon carbide (SiC) planar grinding 
papers 
starting from 600 
up to 4000 grit. 
 
Water and dish soap were used for lubrication as well 
as rinsing the specimen before 
proceeding
 
to the next grinding step.  Each o
f these polishing 
steps lasted 
between 
30
 
seconds to 120 seconds
.  The specimens were then polished 
sequentially 
using 6
 
µm, 3
 
µm, and 1
 
µm diamond paste
, respectively
.
  
Each of these polishing steps lasted 10 
to 15 minutes.  Water and soap were used as lu
bricants and the specimens were cleaned with 
ethanol
 
after the final polishing step
.
 
 
To achieve 
a 
mirror 
finish
, 
the 
samples were polished 
between
 
1 and 2
 
hours with a chemical etching solution of 1 part H
2
O
2
 
to 5 parts Struers OP
-
S 
colloidal silica (0.04
 
µm).
 
 
To remove the residual colloidal silica after this step, each specimen 
was rinsed immediately under running water, gently wiped with a finger or a cotton swab 
moistened with dishwashing soap, 
then 
quickly rinsed and blow
-
dried. 
 
The entire cleaning 
process after the colloidal silica step lasted less than 5 seconds.
 
3
.2.
2
. TEM samples
 
Metal sheets
 
(0.5 mm initial thickness) 
were mechanically gr
ound
 
to a thickness of 
 
3
00
 
µm
 
using 
silicon carbide (SiC) planar grinding papers
 
up to 2000 grit.  After rea
ching a 
thickness of 300
 
µm
, the sheets were gently polished down to 200 
µm
 
using 6
 
µm, 3
 
µm, and 1
 
µm diamond paste
.  Special care was taken to not apply too much force during the last polishing 
steps.  Finally, a 0.5 
µm
 
diamond paste was used to polish the sheets down to a thickness 
between 100 and 150 
µm
.  
3 mm discs were
 
then carefully
 
punched 
using a manual punch.
 
 
The 
discs were electropolished using 
a Struers 
Tenupol 5 twin
-
jet electropolisher at a temperature 
 
 
43
 
between 
-
44 ºC and 
-
30 ºC. 
 
A solution bath of 300 mL methanol, 175 mL 2
-
butanol, and 30 mL 
perchloric acid was used.
 
 
The thickness of the transparent thin
 
area in the TEM foils was 
estimated to be less than 100 nm.
  
Low keV ion milling was performed as the last step to remove 
contaminants and improve TEM foil quality.  The beam energy was between 2 and 3 keV and the 
milling angle was varied incrementally be
 
For samples irradiated 
ex situ
,
 
the samples were thinned to a thickness between 100 and 
150 
µm
 
by mechanical grinding on the unirradiated side only.  The irradiated surface was 
covered in Lacomit Varnish
 
from 
Agar Scientific Ltd 
as shown i
n 
Figure 
29
-
a.  Afterword, 
during the electropolishing step, the material was only removed from the unirradiated side (see 
Figure 
29
-
b).  The samples were immersed in Lacomit varnish remover after electropolishing.  
Low keV ion milling was also performed to remove contaminants and improve TEM foil qualit
y. 
 
 
 
Figure 
29
.
 
TEM p
reparation for a s
ample irradiated 
ex situ
: a)
 
The irradiated surface is covered 
by 
Lacomit varnish (Pink tint) after thinning and punching out 3 mm discs; b) Representation of 
the electropolishing for these foils.
 
 
Irradiated 
surface
 
Covered with 
Lacomit Vernish 
to prevent 
material removal
 
Electrolyte jet
 
3 mm
 
 
b
 
a
 
 
 
44
 
3
.3
. IRRADIATION CONDITIONS
 
All ion beam irradiation energies used in this work were 
below the Coulomb Barrier 
energy
.  By h
aving irradiation energies lower than this limit, the samples were not activated, 
which allowed their safe handling outside of hot cells.
 
 
It
 
also permit
ted
 
t
he
 
irradiat
ion of
 
relatively thick samples
, which made it easier to evaluate the 
mechanical properties
 
and 
deformation behavior
.
  
The experiments 
were performed at 
three different facilities:
 
 
The IRRSUD beamline,  part of the GANIL
-
CIMAP (
Grand Accélérateur National 
 
-
 
C
entre de Reche
rche sur les 
I
ons, les 
Ma
tériaux et la 
P
hotonique)
 
in 
Caen, France was used
.
 
 
This beamline allows low
-
energy irradiation experiments 
(up to 
1 MeV/A) with continuous measurement of the ion flux during irradiation.
 
 
Sta. ANA (Stable ion Accelerator for Nucle
ar Astrophysics) or 
the 
5U accelerator 
at the 
Universit
y of 
Notre Dame
, IN was used 
in collaboration with The Institute for Structure 
and Nuclear Astrophysics (ISNAP)
.  This 
is a single
-
ended vertical pelletron providing 
ion beam energies up to 5 MeV.
 
 
 
The Intermediate Voltage Electron Microscopy (IVEM )
-
Tandem Facility 
of
 
Argonne 
National Laboratory (Chicago, IL) was used.
 
 
The
 
TEM 
interfaces with an ion beamline 
with 
i
on energies up to
 
1 MeV and is 
incident from above at 30° to the electron beam, 
allow
ing 
in situ
 
irradiations during observation under controlled sample and diffracti
on
 
conditions.
 
3
.
3.1. 
Dose calculation
 
The software 
The Stopping and Range of Ions in Matter
 
(S
RIM
-
2013) 
[103]
 
was used 
to determine
 
ion ranges, collision events, and deposited energy.
 
 
This Monte Carlo simulation 
 
 
45
 
code uses different ion stopping theories, such as Brandt
Kitagawa theory and Lindhard, Scharff 
and Schiott theory (LSS
-
theory), to calculate the ion stopping power and range
 
from a large 
selection of ions and different target materials (compounds included)
 
[103]
.  
Figure 
30
 
presents 
an example of the output files from SRIM 
[103]
 
for the irradiation of Ti
-
6Al
-
4V
 
with Ar ions at 
an energy of 36 MeV.  The trajectories of simulated 5000 Ar ions, the ions ranges, and the 
simulated collision events are illustrated in 
Figure 
30
.
 
The Displacement per Atom (dpa) estimation is performed using the softwa
re 
Transport 
of Ions in Matter (
TRIM)
 
[103]
. 
The equation for the dpa rate follows:
 
 
 
 
 
 
 
 
Eq
.
 
3
 
 
D
: Damage rate in 
the 
sample from the TRIM 
[103]
 
output file [vacancies/(ion
-
Angstrom)];
 
 
F
: 
Ion f
luence
, F = I/(q*A)
 
[ions.cm
-
2
.s
-
1
]
, 
I
 
-
 
B
eam
 
current, 
q
 
-
 
C
harge, 
A
 
 
Irradiation
 
area;
 
 
N
:
 
Atom n
umber density
,
 
N
 
= 
N
A
*
 
 
/M
 
[cm
-
3
]
,
 
N
A
 
= 6.022.10
23
 
mol
-
1
 
 
Avogadro 
number, 
M
 
 
molecular mass (g.mol
-
1
), 
 
mass density (g.cm
-
3
)
 
 
 
46
 
 
Figure 
30
.
  
Example output plots from SRIM 
[103]
 
calculation using a 
Ti
-
6Al
-
4V
 
t
arget 
irradiated
 
with a
 
36 MeV
 
Ar 
ion 
beam
: a) Cross section view of the simulated
 
trajectories of 
5000 ions in a 10 um, b) Ion ranges as a function of the target depth; c) C
ollision events as a 
function 
of the target depth.
 
 
3
.3.2. 
Ex situ
 
irradiation experiments
 
Table 
10
 
contains a description of the irradiation conditions as well as the irradiated 
materials 
in
 
all the 
ex situ
 
experiments presented in this dissertation.  Bulk samples were 
irradiate
d u
sing three different ion beams 
(see
 
Table 
10
)
.
  
The irrad
iation temperatures were 
selected as 
temperature during the irradiation experiment.  The t
emperature was measured during the 
experiments using thermocouples attached to the back of the copper plate 
where the samples 
b
 
c
 
a
 
 
 
47
 
were mounted using conductive silver paste (PELCO ® High Performance Silver Paste, Product 
No 16047).  This paste can be diluted w
ith water after the irradiation to remove the samples. 
 
Lower dose irradiations, up to 1 dpa
,
 
were only performed on
 
Ti
-
6Al
-
4V PM rolled
 
samples.
  
Additionally, with the 
36
Ar at 36 MeV beam, two of the Ti
-
6Al
-
4V samples were 
irradiated with a 6 µm CP Ti foil on the surface.  This foil was used as a beam degrader in order 
to have a higher damage dose closer to the surface, as shown in 
Figure 
31
.
  
The electronic energy 
loss S
e
 
and the nuclear stopping power S
n
 
for these samples 
were calculated using SRIM
 
[103]. 
 
T
he sample with the Ti
-
foil on the surface 
exhibited
 
a higher
 
electronic excitation energy 
S
n
 
on
 
the surface (
 
0.25
 
keV
 
nm
1
) and lower
 
S
e
 
(
1.4
 
keV
 
nm
1
) compared to the sample without the 
Ti
-
foil (
S
n
 
 
0.015
 
keV
 
nm
1
 
and
 
S
e
 
7.4
 
keV
 
nm
1
). 
 
 
 
 
Figure 
31
.
 
The SRIM
-
2013
 
[103]
 
 
calculation of the dose in a Ti
-
6Al
-
4V sample for the 
36
Ar
 
beam
 
@ 
36 MeV with a fluence of 10
15 
ions.cm
-
2
.
 
All beam dose profiles are illustrated in 
Figure 
32
.  At the Bragg peak, corresponding to a 
maximum irradiation dose, the ions from the irradiating beam are implanted in the material.  For 
the high dose irradiation with Ar @ 4 MeV, the Bragg
*
 
peak was located 2.9 µm below the 
 
*
 
Not to be confused with the X
-
ray diffraction Bragg peak.  As the ions pass through the material, they lose energy. 
The curve of the ion energy loss rate is referred to as the
 
Bragg curve, exhibiting a peak 
where
 
the
 
ions stop.  This 
peak is called the Bragg peak.
 
 
6
 
µm
 
Ti
 
mask
 
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
0
3
6
9
Dose (dpa)
Depth (µm)
6
 
µmTi mask
 
 
 
48
 
surface and for the Ar @ 36 MeV the peak was 6.6 µm below the surface.  The Bragg Peak depth 
is important in determining the ion implantation depth for each of the conditions.  Since studying 
ion implantation is outside of
 
the scope of this study, nano
-
indentation measurements were all 
performed at a depth well above the Bragg peak for 
most
 
irradiated samples.  
 
 
 
Figure 
32
.
 
Irradiation dose as a function of depth 
below
 
the mater
ial surface
 
for all the ion 
beams used in the 
ex situ
 
irradiation.
 
Table 
10
.
 
Summary of the 
ex situ
 
irradiation conditions.  The irradiation dose indicated is the 
dose at the probed depth by nanoindentation.  
 
Beam
 
Energy 
(MeV)
 
Ion 
range 
(µm)
 
Se 
(keV/nm)
 
Flux 
(ions/cm
2
.s
-
1
)
 
Fluence 
(ions/cm
2
)
 
 
Dose 
(dpa)
 
Material
 
36
Ar
 
36
 
6.8
 
7.5
 
2.10
10
 
10
15
 
30
 
0.08
 
Ti
-
6Al
-
4V PM
 
36
Ar
 
0.76
 
0.6
 
1.4
 
2.10
10
 
10
15
 
30
 
1.03
 
Ti
-
6Al
-
4V PM
 
36
Ar
 
36
 
6.8
 
7.5
 
4.10
10
 
10
15
 
350
 
0.08
 
Ti
-
6Al
-
4V PM
 
36
Ar
 
0.76
 
0.6
 
1.4
 
4.10
10
 
10
15
 
350
 
1.03
 
Ti
-
6Al
-
4V PM
 
40
Ar
 
4
 
3.8
 
3.16
 
2.18. 10
13
 
4.8.10
16
 
350
 
16
 
Ti
-
6Al
-
4V PM, 
Ti
-
6Al
-
4V AM, 
CP Ti
 
40
Ar
 
4
 
3.8
 
3.16
 
3.5 10
13
 
2.5.10
16
 
30
 
8.0
 
Ti
-
6Al
-
4V PM, 
Ti
-
6Al
-
4V AM, 
CP Ti
 
0
10
20
30
40
50
60
70
0
2
4
6
8
Calculated Dose (dpa) 
Depth into the surface(µm)
Ar @ 4 MeV - 350°C
Ar @ 4 MeV - RT
Ar @ 36 MeV - RT & 350°C
Bragg 
peaks
 
 
 
49
 
3
.3.3. 
In situ
 
irradiation experiment
 
In situ
 
irradiation
 
experiments
 
w
ere
 
performed using a Hitachi H
-
9000NAR transmission 
electron microscope
 
(TEM)
 
interfaced 
with
 
a tandem ion accelerator at the (IVEM)
 
-
 
Tandem 
Facility 
of
 
Argonne National Laboratory
 
(Chicago, IL)
.
  
The range of Kr ions in a Ti
-
6Al
-
4V 
target, estimated with SRIM, is 389 nm.  A typical TEM sample thickness of 100 nm allows for 
homogeneous irradiation of the whole thickness.  The dose profile for the differen
t 
in situ
 
irradiation experiments is shown 
in 
Figure 
33
.  The remaining details of the 
in situ
 
irradiations 
are provided 
in 
Table 
11
.  The samples were mounted in a double
-
tilt heating holder and were 
tilted around an angle of
 
15° to maintain a normal incidence angle of the Kr ion beam to the 
surface sam
ple. 
 
 
Figure 
33
.
 
Irradiation dose
 
of Kr ion beam
 
 
in Ti
-
6Al
-
4V 
as a function of depth 
below
 
the 
material surface
 
for all the different 
in situ
 
irradiation experiments.  The numbers in the legend 
refer to the experiment numbers pr
ovided 
in 
Table 
11
. 
 
 
 
 
0
5
10
15
20
25
0
50
100
150
200
250
300
350
Calculated Dose (dpa) 
Depth into the surface(µm)
1
2
3
4
5
6
Foil 
thickness
 
 
50
 
Table 
11
.
 
Summary of the 
in situ
 
irradiation conditions with 1 MeV 
82
Kr ions.
 
Beam
 
Energy 
(MeV)
 
Range 
(um)
 
Se 
(keV/nm)
 
Flux 
(ions.cm
2
.s
-
1)
 
Fluence 
(ions.cm
-
2)
 
T 
 
Material
 
Dose 
(dpa)
 
Exp 
#
 
82
Kr
+1
 
1
 
0.4
 
2.3
 
3.8×10
11
 
5×10
15
 
30
 
CP
-
Ti 
 
11.13
 
1
 
3.8×10
11
 
1.7×10
15
 
350
 
3.79
 
2
 
3.8×10
11
 
2.5×10
15
 
430
 
0.56
 
3
 
6.3×10
10
 
2.5×10
15
 
450
 
0.06
 
4
 
3.8×10
11
 
1.9×10
15
 
350
 
Ti
-
6Al
-
4V 
 
(AM)
 
3.74
 
5
 
3.8×10
11
 
2.5×10
15
 
430
 
0.56
 
6
 
6.3×10
10
 
1×10
15
 
450
 
0.22
 
4
 
 
3
.4. TEM IMAGING AND COUNTING METHODS
 
3
.4.1. TEM Weak Beam imaging
 
TEM is routinely used to observe and image irradiation
-
induced defects in metals.  In 
simple terms, TEM is based on the interaction of the incident electron beam with a thin foil 
containing a few atom planes arranged according to the crystal structure of t
he material 
[104]
.  
the diffraction of the incident electron beam by the material, see 
Figure 
34
.  The equation 
relating the diffraction angle 
, the distance 
d
 
between the atomic planes, and 
the mean free path 
of an electron between scattering events
 
 
 
 
 
 
 
 
 
 
 
Eq. 
4
 
As depicted in 
Figure 
34
, the diffracting planes act as mirrors for the incident electron 
beam. 
 
These diffracted beams pro
duce the diffraction spots in the Selected Area Electron 
Diffraction Pattern (SAEDP). 
 
An example of the zone axis SAEDP is shown in 
Figure 
35
-
a. 
These s
pots are called reflections and the vector between the direct beam and one of the 
reflections is called the diffraction vector 
g
. 
 
The Miller
-
Bravais notation 
hkil
 
is used to refer to 
 
 
51
 
the indices of the diffracted 
planes
 
and are equivalent to the Miller in
dices (hkl) of the diffracting 
crystal plane (or some multiple thereof).
 
 
Figure 
34
.
 
The Bragg description of diffraction in terms of the reflection of a plane wave 
incident at an angle
 
 
to atomic planes of spacing 
d
. 
 
The 
path difference between reflected 
waves is AB + BC
 
[104]
.
 
The recommended method for imaging dislocations and specifically dislocation loops is 
weak beam (WB) diffraction in either the dark field (DF) or bright field (BF) mode 
[105]
.  A 
description of the 
set up of the condition for WB BF imaging is presented in 
Figure 
35
.  The 
choice of the diffraction conditions, namely the initial zone axis diffraction
 
condition and the 
selected 
g
 
vector, is the first step in acquiring useful images for the defect characterization.
 
 
Figure 
35
.
 
Schematic representation of the set up for a WB diffraction condition 
for
 
the
 
 
zone axis with
 
the direct beam highlighted in red
: 
a) Tilting the foil to the 
 
 
zone axis; b) 
Tilting away from the zone axis; c) Condition where the desired row of 
g
 
vectors is excited; d) 
Condition where only the direct beam and 2
g
 
are excited and Kikuchi lines are presented as a 
dashed black line.  These diffraction patterns were 
simulated for the 
-
phase Ti using the 
software CrysTBox 
[106]
.
 
a
 
b
 
c
 
d
 
 
 
52
 
The current study focuses on the nucleation and growth of dislocation loops in Ti
-
alloys.  
Therefore, two types of dislocation loops were investigated:
 
 
 
type dislocation loops
 
with a Burger
s vector 
 
that 
can be
 
imaged with 
g
=
.
 
 
c
-
component
 
dislocation loops
 
in the basal planes that 
can be imaged with
 
 
g
 
=
 
.
 
The habit nucleation planes for  loops and c
-
component loops are illustrated in 
Figure 
36
. 
 
 
Figure 
36
 
.
 
Nucleation planes for 
(a)  and (b) c
-
component 
dislocation loops in hcp 
materials
.
 
The selection of the TEM diffraction imaging conditions is essential for the 
characterization of these dislocation loops. 
 
Tilting to the 
 
zone axis (see
 
Figure 
37
) 
allows for the distinction between  and 
c
-
component
 
loops since perpendicular g vectors can 
be selected 
to image each type of loops
.
 
 
The diffraction conditions to observe the loops were set 
up close to the Weak Beam (WB) 
BF
 
condition for the 
 
zone axis
. 
 
The 
g
 
vectors used to 
image each of the loops are shown in 
 
Figure 
37
 
and 
Figure 
38
.
 
 
 
 
c
-
component 
loops
 
a
 
b
 
 
 
53
 
                                                      
 
 
 
 
Figure 
37
.
 
Schematic representation of the TEM imaging of  and c
-
component loops in a
 
 
zone axis in 
using the two 
g
 
vectors
 
 
and
 
.
 
 loops
 
c
-
component loops
 
g vector 
 
g vector 
 
 
Zone axis
 
 
 
54
 
 
Figure 
38
.
 
Example of the identification of dislocation loops in CP Ti irradiated with 1 MeV Kr 
-
a) Selected grain and (1
-
b) its corresponding diffraction pattern close to the 
 
ZA, 2
-
a) BF TEM photomicrograph with 2
-
b) its corresponding diffracti
on condition 
for 
g
=
, 3
-
a) 
BF
 
TEM photomicrograph with 3
-
b) its corresponding diffraction condition for 
g
=
, 4
-
a) Magnified 
BF
 
image showing 
c
-
component
 
loops indicated with blue arrows and 
4
-
b) Magnified 
BF
 
image showing  loops indicated with red
 
arrows
.
 
 
 
 
 
 
55
 
Figure 
38
.
 
 
 
 
3
.4.2. Transmission Kikuchi Diffraction (TKD)
 
Transmission Kikuchi diffraction was used to characterize the foils prior to the TEM 
characterization.  The goal of this characteriza
tion was to locate grains that were oriented close 
 
 
56
 
to the 
 
zone axis.  Such grains are desirable for performing the described TEM 
characterization in 
3
.4.3 and 
3
.4.4.
 
 
The samples were loaded on a particular sample holder capable of imaging thin 
foils.  
The Transmission
-
EBSD Sample Holder, specifically designed to hold 3 mm foils, was 
purchased from EDAX
-
TSL (Mahwah, NJ)
.  An electron reflection plate was used to account for 
the thickness difference in each sample.  The sample holder was mounted i
nside a field emission 
Tescan Mira3 SEM equipped with an EDAX
-
TSL EBSD system.
 
 
Figure 
39
.
 
TEM specimen setting arrangement for
 
TKD
: a) General layout 
[107]
, b) Image of 
the set up inside the MIRA 3 SEM chamber. 
 
Figure 
39
 
shows the tilted stage and the detector position. A sample tilting angle of 
-
20
° 
was used.
  
The working voltage was 30 kV.  The working distance was approximatel
y 4.3 mm.  
The spot size varied between 20 to 50 nm.  Grain orientation maps were then acquired using 
 
 
57
 
TEAM software from Oxford.  A step size between 50 and 100 nm was used.  A 1×1 binning 
setting and an acquisition speed of about 5 points per second were 
used for all the TKD scans.
 
Figure 
40
 
illustrates the typical images acquired during the TKD characterization used to 
locate grains that were oriented between 
 
and 
 
zone axis ( with visible 0002 
Kikuchi line)
.  The difference between the orientation of the foil between TKD and TEM 
obs
ervation was not measured.  After finding the desired grains, the samples were imaged using 
a 100CX JEOL TEM to confirm the selected orientations. 
 
 
Figure 
40
. Illustration of 
an example of
 
grain identification for TEM using TKD
. 
The grain
 
orientation
 
was between 
 
and 
 
ZA
: 1
-
a) SEM image of the
 
distinctive edge used as 
a marker, 
1
-
b) EBSD inverse pole figure of the
 
selected area
,
 
2
-
a) Low magnification TEM 
micrograph of the
 
distinctive edge used as a marker
, 2
-
b) ) High
-
mag
nification TEM 
photo
micrograph of the selected area; 3
-
a) Unindexed Kikuchi pattern in the selected grain; 3
-
b) 
Indexed Kikuchi pattern in the selected grain; 3
-
c)
 
corresponding 
color
 
scale unit triangle
 
for 
image 1
-
b.
 
 
 
 
 
58
 
3
.4.3. 
Counting of  loops
 
BF
 
and
 
DF 
TEM photomicrographs were a
c
quired using 
g
 
=
, to observe  loops
. 
This 
g
 
vector is obtained by tilting the TEM foil to the weak beam condition, 
g
 
=
,
 
after 
identifying the 
 
zone axis, as shown in
 
Figure 
37
.
  
An example of a DF TEM 
photomicrograph 
i
s shown in 
Figure 
41
-
a
.
  
The outline
s
 
o
f the  loops were traced in the 
Fiji
 
software
 
[108]
 
using a 
M
icrosoft pen on a tou
c
h screen surface for high precision line tracing. 
 
An example of ident
i
fied  loops is provided in 
Figure 
41
-
b
.
 
 
Figure 
41
.
 
Example of identification of  loops: a) DF TEM photomicrograph showing the 
 type dislocation lo
ops for CP Ti irradiated with 1 MeV Kr ion beams at 350
 
. 
 
The loops 
appear circular when imaged using 
; b) Identi
fied loops with the 
highlighted outlines 
in yellow.
 
 
3
.4.4. Counting of c
-
component loops
 
TEM 
BF
 
photomicrographs were acquired under specific diffraction conditions to 
observe the 
c
-
component 
loops
 
and distinguish them from  loops
. 
 
C
-
component
 
loops 
appear as a line when
 
imaged 
edge on 
using 
g
 
= 0002 as shown in 
Figure 
42
. 
 
This 
g
 
vector is 
obtained by tilting the TEM foil in the weak beam condition 
g
 
= 0002 after identif
ying the 
 
zone axis as shown in 
Figure 
37
.
 
 
b
 
a
 
 
 
59
 
 
Figure 
42
.
 
Example of identification of c
-
component loops: a) BF TEM photomicrograph 
showing the c
-
component dislocation loops in CP Ti irradiated with 1 MeV Kr ion beams at 
 
imaged
 
using 
g
=0002;
 
b) Corresponding diffraction pattern.
 
The BF TEM photomicrographs of ion irradiated CP Ti samples were uploaded to Fiji
 
 
[108]
, the image processing software used in this characterization.  In each image (880.8 nm x 
880.8 nm), 3 to 5 areas (
880.8 nm x 201 nm) were selected and magnified to assist with the 
counting of c
-
component loops. 
 
The c
-
component loops were identified by the 
Burgers vector 
b
,
 
which is perpendicular 
to 
g
 
= 0002.
 
 
The 
Fiji
 
software 
[108]
 
was used to draw the outline of ea
ch identified dislocation 
line and number them as shown in 
Figure 
43
. 
 
The outline of each 
c
-
component
 
loop was 
overlayed to the direction perpendicular to 
g
 
= 0002. 
 
To be included
, the outline of the loop was 
c
-
component
 
loops
*
. 
 
After 
validation
 
of the 
selected 
loops, their lengt
h was generated automatically by 
Fiji
 
[108]
. 
 
 
*
 
Perpendicular 
to 
g
 
= 0002
.
 
b
 
a
 
 
 
60
 
 
Figure 
43
.
 
Magnified image showing a) BF TEM photomicrograph showing the c
-
component 
pe
rpendicular to the direction of the imaging g vector, 
g
 
= 0002; b)
 
Eight possible loops were 
identified. 
 
In 
Figure 
44
, the
 
identified loops in 
Figure 
43
 
were overlaid with the theoretical 
direction
*
 
for c
-
component loops represented by a white arrow.  Based on the above
-
mentioned 
criteria, the l
oops 3,
 
4,
 
5,
 
7 and 8 were confirmed as 
c
-
component
 
loops.
  
Loops 1, 2, and 7 
deviated more than 5 degrees from the theoretical direction for the c
-
component 
loops and were 
therefore not included in the analysis.
 
 
*
 
Perpendicular 
to 
g
 
= 0002
.
 
 
 
61
 
 
Figure 
44
.
 
The 8 loops identified in 
Figure 
43
 
overlaid with the direct
ion perpendicular to the 
g
 
vector 0002.
  
Loops 3, 4, 5, 7 and 8 were confirmed as c
-
component loops, while loops 1, 2, and 
-
component loops and were 
therefore not included in the analysis.
 
 
3
.
4.5. Measurements
 
3
.4.5.1. 
Size of the dislocation loops
 
T
he size of the
 
 
loops was 
defined
 
as the 
observed length of the loop (nm)
. 
 
Figure 
45
 
illustrate
s
 
an example of
 
 
dislocation 
loop
s
,
 
and their
 
size 
is reported in 
Table 
12
.
 
 
For 
the c
-
component
 
loops, the size of the loops was 
defined
 
as the length of the observed disloc
a
tion 
l
ength when observed edge
-
on.  
An 
example of the
 
identification of c
-
component loops is shown 
in 
Figure 
46
.  Their lengths are reported in
 
Table 
13
.  
Figure 
47
 
shows the distribution of the 
length of c
-
component
 
dislocation loops. 
 
 
 
62
 
 
Figure 
45
.
 
Identified 5  loops in CP Ti irradiated 
in situ
 
-
 
BF 
photomicrograph of an area imaged 
using 
g
 
=
; b
-
 
Outline of the 5  loops (Note that 
there are other loops in this figure that are not highlighted).
 
Table 
12
.
 
The measurements of the  loops identified in 
Figure 
45
 
using 
Fiji
 
[108]
 
Loop #
 
Area (nm
2
)
 
Perimeter (nm)
 
1
 
35.837
 
30.056
 
2
 
34.681
 
29.271
 
3
 
46.241
 
39.4
 
4
 
37.456
 
31.8
 
5
 
43.929
 
36.5
 
 
Figure 
46
.
 
Identified c
-
component loops in CP Ti irradiated 
in situ
 
with 1 MeV Kr ions at 
 
-
 
BF photomicrograph of an area imaged using 
g
 
= 0002; b
-
 
Outline 
of the c
-
component loops highlighted in yellow.
 
g = 0
002
 
a
 
g = 0002
 
a
 
b
 
20 nm
 
g = 
 
20 nm
 
b
 
 
 
63
 
Table 
13
.
 
The measurements of the diameter of c
-
component loop identified in 
Figure 
46
 
u
sing 
 
Fiji
 
[108]
 
 
 
 
64
 
 
Figure 
47
.
 
The distribution of c
-
component loop diameters quantified in 
Figure 
46
. 
 
The y
-
axis 
corresponds
 
to
 
the number of the loops in each diameter bin divided
 
by the total area studied. 
 
 
3
.4.5.2. 
Dislocation density
 
The dislocation density is calculated from the acquired TEM photomicrographs at the 
specified diffraction conditions.  The evolution of the defect density as a function of irradiation 
dose is obser
ved in the same area and as a result, in the same volume for each sample.  The two 
measurements of the dislocation densities used are defined below:
 
 
Area dislocation number density:
 
This
 
is a measure of the number of
 
specific 
dislocation 
loop types (  o
r c
-
component) 
in a unit 
area
.
 
 
 
D
islocation number density:
 
This
 
is a measure of the number of
 
specific 
dislocation 
loop types (  or c
-
component) 
in a unit 
volume
.
 
 
Linear
 
area
 
dislocation density: 
This is a measure of the sum of the length of 
the 
specific dislocation loop
 
types
 
in a unit area
 
 
 
0
5
10
15
20
25
30
Defect density (
10
13
m
-
2
)
Loop diameter (nm)
Small area 1.9 dpa
Median: 19 nm
 
 
 
65
 
3
.5. 
NANOINDENTATION EXPERIMENTS AND METHODS
 
3
.5.1. Experimental
 
Nanoindentation measurements were carried out using an 
Agilent Technologies G200 
Nano Indenter.
 
 
The continuous stiffness measurement (CSM) mo
dule 
used in the present study 
exhibits a displacement resolution 
below 
0.01 nm
.
 
 
A Berkovich tip was used with a strain rate of 
0.05 s
-
1
. 
 
The distance between indents was 
10
0 µm and the value for 
the 
Poisson ratio was 0.33. 
 
Multiple indents were perform
ed on each of the studied samples
 
(between 36 and 100 
indents)
.
 
 
Figure 
48
 
shows an example of indent matrices on the surface of irradiated 
CP Ti
 
at 
 
30
 
 
and 350
 
.
 
 
Due to indenter size effects
*
 
(ISE) 
[110]
, values of hardness for indentation 
depths below 100 nm were not considered.
 
 
The Berkovich tip used in the nano
-
indentation 
experiments provided a compromise between a moderate pile
-
up and a smal
l plastic zone size 
[111]
.
 
 
The median values were used for the analysis to min
i
mize the effect of outliers. 
 
 
*
 
This refers to the apparent increase in hardness at shalloy depths during indentation experiments.  Nix and Gao 
[109]
 
explained this strain gradient, most significant at small indentation depths, to be an effect of geometrically 
necessary dislocations (GND).  As the indenter pushes into the surface, these GNDs are required to account for the 
permanent deformation and thu
s will contribute to the measured hardness of the material.  
 
 
 
66
 
 
Figure 
48
.
 
BSE SEM photomicrographs showing an example of the indents in CP Ti sample 
irr
-
magnification photomicrograph 
of the indentation grid; b) Higher
-
magnification photomicrograph depicting only one indent.
 
For ion irradiated FeCrAl alloy, Hardie et al.
 
[111]
 
proposed an adjustment 
of the 
measured hardness by accounting for the difference between the contact area, as given by the 
nanoindentation instrument, and what they defined as the actual contact area, measured directly 
on SEM images of the indents at different depths.  They esti
mated the error on the hardness 
measurements, at depths between 50 nm and 200 nm, to be between 10% and 50%.  As a result, 
only hardness values at depths between 200 nm and 400 nm were included in the discussion of 
the results from the current work.
 
For ea
ch set of measurements,
 
the standard deviation
 
for the nanoindentation 
measurements
, 
, was calculated. 
 
Assuming a confidence interval of 95% (two sided T
-
test), the 
plotted error is t
he standard error of the mean (SEM)
 
multiplied by a factor 2
*
 
for a sampling size 
n
 
(number of indents) between 36 and 100 
[112]
.  The error was
 
expressed as
:
 
 
*
 
Corresponds to the critical 
t
 
value for a two sided T
-
test with n values between 36 and 100 and a confidence 
interval of 95%.
 
5 µm
 
200 µm
 
a
 
b
 
 
 
67
 
 
, 
 
 
 
 
 
 
 
 
 
Eq. 
5
 
The change in hardness value was calculated by 
subtracting the hardness of the 
unirradiated sample from the hardness of the irradiated sample at the same depth:
 
 
 
 
 
 
 
 
Eq. 
6
 
The error corresponding to 
Hardn
ess
 
was estimated using the propagation law for 
uncertainty 
[113]
, and is
 
calculated using the formula:
 
 
 
 
 
Eq
.
7
 
3
.5.2. 
Dispersed 
Barrier Hardening (DBH) 
 
In the dispersed barrier hardening
 
model
, the short
-
range interactions between the 
moving dislocation as it comes into direct contact with the obstacle
s
 
are quantified 
[114
 
-
 
11
6
]
. 
 
For a moving dislocation line to pass around stro
ng barriers separated by a distance 
l
, as 
illustrated in 
Figure 
49
, 
the
 
applied stress must be at least equal to the average internal stress, and 
for sph
erical particles
,
 
this is given by the shear stress 
 
[117]
. 
 
These obstacles are assumed to 
be randomly distributed on the slip plane of the dislocations.
 
 
 
 
68
 
 
Figure 
49
.
 
Schematic representation of Orowan bowing: A dislocation in motion encounters two 
obstacles, bows to a radius r before passing and leaving dislocation loop behind around the 
obstacle. This illustration is adapted from 
[117]
. 
 
In dispersion hardening, the 
obstacles remain undeformed and the yield stress is the stress 
necessary to expand a loop of dislocation between them 
[118]
.
 
 
The maximum curvature 
r
 
that 
this dislocation can bow to is the distance 
l
 
separating these obstac
l
es. 
 
This is described by the 
f
ollowing equation
,
 
known as Orowan stress
 
[119]
:
 
 
 
 
 
 
 
 
 
 
Eq
. 
8
 
 
 
is the obstacle strength
 
factor
, varies in the range of 0
1 and strongly depends 
on the types of defects.
 
 
 
 
is the shear modulus of the 
material
.
 
 
b
 
is the 
magnitude
 
of the Burgers vector
.
 
Estimating the value of 
l
 
 
In the case of DBH, the 
friction stress due to a dispersion of barriers depends on the distance 
l
 
between the obstacles in 
the slip plane of
 
the moving dislo
cation.
 
 
This distance separating two obstacles having a radius 
r
 
and intersecting a unit area of the slip plane is shown in 
Figure 
50
.
 
 
The distance between
 
these 
obstacles can be estimated using the obstacle number densit
y 
n
, representing the concentration 
of these randomly di
s
tributed obstacles in a unit volume 
[120]
.
 
 
The number of obstacles in this 
obstacle
s
 
r
 
 
 
69
 
volume element is estimated to be 
equal to the number of intersections per unit area on the slip 
plane 
n
 
[120]
. 
 
 
Figure 
50
. 
Graphic
 
representation
 
of
 
the intersection of spherical obstacles of radius 
r
 
and 
spacing 
l
 
with a unit area of 
a 
slip plane. This figure is reproduced from 
[116
, 
120]
.
 
As a result, the distance 
l
, defined as the average obstacle spacing along the slip plane is 
calculated as:
 
 
 
 
 
 
 
 
 
 
E
q.
 
9
 
This shear stress 
 
can be related to th
e yield stress 
y
 
by the Taylor factor [121]:
 
 
 
 
 
 
 
 
 
Eq
.
 
10
 
Radiation
-
induced defects such as dislocation loops are considered obstacles to 
dislocation motion.  
The contribution of 
these 
defects to the increase in the yield stre
ss
 
as a result 
of irradiation can be quantifi
ed
 
using the following equation 
[122]
 
[23]
:
  
 
 
 
 
 
 
 
Eq
.
 
11
 
For Ti, the magnitude of the Burgers vector
 
for prism slip
 
is
 
equal to 
0.
295
 
nm.
 
 
The 
value to be used for
 
the shear modulus 
 
is 38 GPa
 
[16]
.
  
The factor 
defects
 
is defined as the 
barrier strength, and accounts for the fact that some obstacles may be partially cut or sheared as 
the dislocation segments bow out and break away.
  
equal to 
1
. 
 
The values 
of th
e 
factor 
defects
 
were
 
mainly infe
r
red from fitting experimental data
. 
 
 
 
70
 
In the 
current work where 
dislocation loops
 
are the obstacles
15 
for Ti,
 
as 
shown in 
Table 
14
. 
 
Dislocation loops 
can be considered relatively weak, meaning 
they
 
can be sheared by gliding dislocations during deformation (Friedel cutting) 
[123]
. 
 
The clearing 
of these defects during deformation can produce dislocation channels and highly localized 
deformation 
[124]
.
 
Table 
14
. 
Examples of values of barrier strength 
factors 
for irradiated materials from the 
literature.
 
Materials
 
Irradiation 
beam
 
T 
(
)
 
Dose
 
(dpa)
 
Barrier strength
 
factor
 
Ref
 
Dislocation loops
 
Precipitates
 
Pure Zr
 
 
300
 
0.5, 5
 
0.1
 
-
 
[125]
 
Zr
-
2.5Nb
 
0.1
 
 
Zr
-
5Nb
 
0.1
 
 
Pure W
 
Neutron
 
-
 
0.03 
-
2.2
 
0.15
 
 
[126]
 
Pure Ti
 
6 MeV Ti
 
430
 
0.6
-
3
 
0.15 ( loops), 
0.02 (
c
-
component
 
loops)
 
 
[33]
 
Ti
-
6Al
-
4V
 
6 MeV Ti
 
430
 
0.6
-
3
 
0.9 ( loops)
 
1
 
[33]
 
Pure Ti
 
520 MeV 
Protons
 
RT
 
4×10
4
, 
4×10
3
 
and 
3×10
2
 
0.04  loops
 
 
[14]
 
Pure Cu
 
14
-
MeV 
neutron
 
RT
 
-
 
0.23
 
 
[127]
 
 
For 
CP Ti
, the 
factor
 
 
representing the obstacle strength of  and 
c
-
component
 
loops 
can be taken initially 
as
 
equal to 0.15 and 0.02, respectively 
[33]
. 
 
These coefficients were 
inferred from experimental data of grade 2 Ti irradiated with 6 MeV Ti ions at 430 
 
up to a 
dose
 
of 3 dpa.
 
 
Since the application of the dispersed barrier model may result in irradiation 
dose
-
dependent barrier strength
 
factors
 
[127]
, these values may be tuned later.
  
With the values 
of 
 
between
 
0.01
 
and
 
0.5,
 
an
 
updated
 
version
 
o
f
 
Eq.
 
10,
 
here
 
called
 
Modified
 
DBH,
 
can
 
be
 
used
 
 
[128]
:
 
 
 
71
 
 
 
With:
 
 
 
 
 
 
 
 
 
Eq
.
 
12
 
The Taylor factor 
 
for 
-
phase Ti varies between 5 
[129]
 
and 2.5 [33] depending on the 
texture of the material 
[130]
.  For low
-
temperature deformation and assuming type 1 prism 
mode, the value of 2.5 was chosen for this study 
[131]
. 
 
This value was used to study a similar 
Grade 2 Ti [33].
 
Table 
15
.
 
Summary of the parameters used in this analysis
 
Parameter
 
Value
 
M
 
2.5
 
 
38 GPa
 
 loops
 
0.15
 
c
-
component loops
 
0.02
 
b
gliding dislocation
 
0.2
95
 
nm
 
 
3
.5.3. Estimation of the dose at the indentation depth
 
Figure 
51
 
is an illustration of the nanoindentation on the surface of irradiated samples.  It 
shows the probed depth and the plastic zone radius 
[110]
. 
 
Estimating the irradiation dose for the 
measured hardness results was performed by taking into account the interaction volume.
 
 
 
 
 
72
 
 
Figure 
51
.
 
Schematic representation of the indentation on the surface of the irradiated samples.
 
The plastic zone radius increased proportionally to the indentation depth based on 
measurements on TEM micrographs 
of Focused Ion Beam (FIB) liftout samples of ion irradiated 
FeCrAl alloy 
[111]
.  
In
 
Figure 
52
,
 
[111]
 
is reproduced.  It is noted 
that the data shown in 
Figure 
52
 
is only for the measurements made using a Berkovich tip since 
this was the indenter tip used in the current study.  Based on the slope of the plastic zone radius 
as a function of depth, the probed depth equivalent to the radius of the plastic zone 
was 
approximately four times the indentation depth.  This approximation will be applied to Ti and Ti
-
alloys in the curent work. 
 
 
Figure 
52
.
 
Plastic zone radius as a function of indentation depth for ion irradiated Fe12%Cr 
Alloy. This graph is adapted from 
[111]
.
 
~ x 10 times
y = 3.95x + 247.11
R² = 0.9173
0
400
800
1200
1600
0
100
200
300
Plastic Zone Radius (nm) 
Indentation depth (nm) 
indenter tip
 
indentation depth: 
h
 
Probed depth
 
Plastic zone/Interaction volume
 
Irradiation 
dose profile 
as a 
function 
of depth
 
 
 
73
 
The irradiation dose profiles were adjusted by taking into account this plastic zone and 
are shown in
 
Figure 
53
.  The corrected dose in 
Figure 
53
-
b is the average of the irradiation dose 
calculated from SRIM 
[103]
 
(
Figure 
53
-
a) over the probed depth ( ~ four times 
the 
indentation 
depth). 
 
 
Figure 
53
.
 
Dose profiles for
 
the different ion beam irradiation energies
: a) Irradiation dose as 
calculated previously from SRIM 
[103]
 
as a function of material depth, b) Corrected
 
dose for the 
measured indentation depth
.  Not
e that dose on the y axis is in the logarithmic scale.
 
 
3
.5.4. 
Comparing results with different irradiation particles
 
In this work, dislocation loop evolution as a function of temperature and dose was 
investigated.
 
 
In th
e
 
discussion
 
Chapter 
5
, results fro
m the current ion irradiations were 
compared to previous
ly
 
published results on Ti and Ti
-
alloys. 
 
In comparing 
the 
results of 
different irradiating particles, the effect of the temperature 
and dose rate on the diffusion of point defects should be taken into account 
[61]
.  In the current 
work, the dpa rate for 
in situ
 
experiments was between 8.4×10
-
4
 
dpa/s and 10
-
3
 
dpa/s.  As for 
the 
ex situ
 
irradiation experiments, the
 
dose
 
rate was between 6.5×10
-
3
 
dpa/s and 9×10
-
3
 
dpa/s.  
Figure 
54
 
[
61, 
132]
 
is a representation of the effect of
 
dose rate and temperature on the 
0.01
0.1
1
10
0
200
400
600
800
1000
SRIM calculated
dose (dpa) 
Depth (nm)
0.01
0.1
1
10
0
200
400
600
800
1000
Corrected dose (dpa) 
Indentation depth (nm)
Ar @ 4 MeV -
350°C
Ar @ 4 MeV - RT
Ar 36 MeV - RT
& 350°C
Ar 0.76 MeV - RT
& 350°C
a
 
b
 
 
 
74
 
production of freely migrating defects.  In the recombination domain, a large fraction of created 
vacancies and interstitials recombine
,
 
leading to
 
either
 
annihilation of these defects or the 
formation of defect clusters. 
At higher temperatures, radiation
-
enhanced diffusion leads to a local 
chemical redistribution
 
identified as RIS 
[133]
.
  
 
 
Figure 
54
.
 
Temperature and dose rate effect on radiation
-
induced segregation. 
 
Figure 
is adapted
 
from 
[61]
.
 
As can be 
seen in 
Figure 
54
, the ratio
 
T/T
m
 
of the temperatures used both 
in situ
 
and 
ex 
situ
 
experiments in the current work, 430
 
, 350
 
 
and 30
 
 
are
 
represented by 
a 
black, red 
and blue dashed line
 
respectively
. 
 
All these irradiation conditions fall into the 
recombination 
dominant regime.
 
 
To account for the difference between the different irradiating particles, when 
the 
temperature is within the recombination
-
dominated regime and if the net flux of vacancies 
over interstitials to a particular type of sinks i
s invariant, a temperature shift can be calculated 
[
17, 
134]
. 
 
Increasing the irradiation dose rate 
can be considered
 
equivalent to increasing the 
temperature. 
 
This shift between irradiation with 
a 
higher dose rate at T
2
 
and 
a 
lower dose rate at 
T
1
 
is cal
culated using the following equation 
[
17, 
134]
:
 
T
irr
 
= 30
 
T
irr
 
= 350
 
In situ
 
exeriments 
 
Ex situ
 
exeriments 
 
T
irr
 
= 430
 
 
 
75
 
 
 
 
 
 
 
 
 
Eq
.
 
13
 
E
vm
 
is the migration energy of vacanc
ies 
(
F
or Ti
,
 
E
vm
[135]
) and 
E
vf
 
is the 
vacancy 
formation energy (
E
vf
[135]
).
 
 
K
1
 
and 
K
2
 
are the dose rates and 
k
 
constant 
k
×
10
5
eV/K.
 
Two other experiments will be used in th
e
 
discussion 
section 
where proton 
[14]
 
and 
neutron 
[12]
 
irradiations were 
performed
 
to probe r
adiation damage in Ti alloys.
 
 
The 
temperature shift to be 
considered is presented in 
Table 
16
.
 
 
Table 
16
.
 
The temperature shift calculated for two different irradiations conditions in 
[1
2, 
1
4
]
 
using the dose rate for 1 MeV Kr irradiations.
 
Tirr 
(
)
 
Dose rate 
(dp
a/s)
 
T
 
Irradiating particle
 
Reference
 
40
 
3×10
-
6
 
12
 
590 MeV Proton
 
[14]
 
250
 
4×10
-
6
 
31
 
590 MeV Proton
 
[14]
 
50
 
5×10
-
9
 
27
 
Neutron
 
[12]
 
350
 
5×10
-
9
 
108
 
Neutron
 
[12]
 
 
 
 
 
 
76
 
CHAPTER 
4
 
RESULTS
 
 
 
In this chapter, the results from the as
-
received microstructure characterization, the 
nanoindentation experiments, and the 
in
 
situ
 
TEM irradiation experiments are provided.  For 
each material, the grain size was measured, and the texture was characterized
 
using electron 
backscattered diffraction (EBSD).  Next, nanoindentation results of samples irradiated 
ex
 
situ
 
with Ar beams were presented to probe the change in mechanical properties in the three 
materials.  The r
adiation hardening
 
was determined at
 
30
 
 
and 350
 
-
hardness 
results
.
 
 
To understand the effect of radiation damage structures on the radiation hardening, 
a 
study of the evolution of the radiation damage in 
CP
 
Ti irradiated 
in situ
 
with Kr ion beams 
was 
performed 
at the IVEM
-
Tandem facility at Argonne National Laboratory.
  
The irradiation 
temperatures in these experiments were 
3
0
 
0
 
0
 
 
and results of the o
bservations 
of the nucleation and gro
wt
h of  and 
c
-
component
 
d
islocation 
loops 
are
 
reported
. 
 
4
.1. 
MICROSTRUCTURE OF THE AS
-
RECEIVED SAMPLES
 
4
.1.1. CP Ti
 
 
Electron Backscatter Diffraction (EBSD) and Scanning Electron Microscopy (SEM) 
imaging 
techniques were used to characterize the microstructure of the samples. 
 
Rep
resentative SEM images of the microstructure of 
CP
 
Ti (Grade 2) are shown in 
Figure 
55
.
  
-
phase grains (
 
between 
20 
and
 
40 µm).  The average 
grain size was 30 µm
,
 
measu
red using the line intercept method 
[136]
.  As shown in 
Figure 
56
-
a, 
 
 
77
 
the EBSD
 
orientation
 
map exhi
bited a variety of colors
*
 
for the scanned area with no strongly 
prevalent color observed.  In 
Figure 
56
-
b, the {0001} peak locations were aligned almo
st 
perpendicular to the x
-
direction and a moderate fiber texture (approximately 6 times random) 
was observed.  The TEM photomicrographs in 
Figure 
57
 
show
 
the initial, as
-
received grain 
structure where precipitates of 1 µm size were observed
. 
 
EDS 
(
Energy Dispersive Spectroscopy
) 
characterization of these precipitates 
indicated that they were
 
Fe rich, see 
Figure 
58
.
 
 
*
 
In EBSD orientation maps, colors represent different grain orientation, see 
color
 
scale unit triangle in 
Figure 
56
-
a
.
 
 
 
78
 
 
Figure 
55
.
 
SE SEM photomicrographs showing the
 
r
epresentative microstructure of 
CP Ti
:
 
(a) 
high
-
 
and (b) low 
magnifications. 
 
 
100 µm
 
50 µm
 
a
 
 
b
 
 
 
 
79
 
 
 
Figure 
56
.
 
EBSD data of the 
CP Ti
 
used in this study: a) EBSD IPF (Inverse Pole Figure) map 
with the corresponding color
 
scale unit triangle
; b) The 
 
and the 
 
pole figures.
 
b
 
0001
 
 
a
 
 
x
 
y
 
 
 
80
 
 
Figure 
57
.
 
TEM 
photo
micrographs of 
CP Ti
: a
-
 
An image of a 20
 
µm
 
diameter
 
-
p
hase grain 
containing the
 
highlighted precipitate, b
-
 
A magnified image of the precipitate highlighted in (a).
 
 
 
Figure 
58
.
 
EDS analysis showing the composition of two of the precipitates observed in 
CP Ti
. 
 
 
 
Fe
 
T
i
 
Fe
 
T
i
 
 
 
81
 
4
.1.2. Ti
-
6Al
-
4V AM
 
Representative SEM images of the microstructure of the Ti
-
6Al
-
4V
 
AM
 
samples are 
shown in 
Figure 
59
.  
The
 
samples 
exhibited 
samples [46].  The 
-
phase lamellae width
 
ranged between
 
0.5
 
and 
2 µm and the
ir
 
length varied 
between 2 
and
 
20 µm.  The 
TEM BF 
photomicrograph
s
 
show the presence of small equiaxed 
grains as highlighted by the red circles 
in 
Figure 
60
-
a, in addition to the
 
lamellar 
-
grains.  The 
-
phase grains appearing as lighter color in the SE
M 
images in 
Figure 
59
 
were
 
intergranular.
 
 
The volume 
percent
 
-
phase was calculated from sever
al acquired 
SEM
 
micrographs
 
(see 
Figure 
59
) using 
Fiji 
[108]
, and it was approximately equal to 14 vol.%. 
 
The volume 
percentage
 
 
As shown in 
Figure 
61
, the prior
 
maps compare
d to the SEM images
. 
 
These grains were large and had an equiaxed morphology 
since the hot isostatic pressing occurred at supertransus temperature (1035
 
) 
[137]
.  This 
material showed a higher fiber texture (approximately 8.5 times random) compared to the
 
CP Ti
 
sample (see 
Figure 
61
-
b)). 
 
 
 
 
82
 
 
 
Figure 
59
.
 
SE SEM photomicrographs showing the
 
r
epresentative microstructure of 
Ti
-
6Al
-
4V 
AM: (a) high
-
 
and (b) low magnifications.
 
1
0 µm
 
a
 
 
50
 
µm
 
b
 
 
 
 
83
 
 
Figure 
60
.
 
TEM 
photo
micrographs of Ti
-
6A
l
-
4V (AM):
 
a
-
 
BF
 
image of showing the lamellar 
 
phase grain structure
 
indicated with a white rectangle and some equiaxed grains highlighted with 
red circles, b
-
 
A magnified image of
 
the highlighted
 
 
grain 
lamellae in white 
with intergranular 
-
phase grains
 
indicated with a red arrow
.
  
The diffraction c
onditions in a and b are different.
 
a
 
b
 
 
 
 
84
 
 
 
 
 
 
 
 
 
Figure 
61
.
 
EBSD data of the Ti
-
6Al
-
4V AM used in this study: a) Manually stitched EBSD IPF 
(Inverse Pole Figure) map with the corresponding 
color
 
scale unit triangle
; b) The 
 
and 
the 
 
pole figures.
 
 
a
 
b
 
0001
 
 
y
 
x
 
 
 
85
 
4
.1.3. 
Ti
-
6Al
-
4V P
M
 
These samples exhibited
 
a
 
lenticular
 
-
phase with
 
mostly
 
an intergranular 
-
phase
.  Intra
-
granular 
-
phase
 
was also observed
. 
 
The volume 
percentage
 
of the 
-
phase 
was calculated from 
several 
acquired 
SE
M
 
images using 
Fiji 
[108]
, 
and 
it was 
approximately equal to 
7 
vol.% 
. The 
volume percent
age of 
was 
approximately equal to 9
3 
vol.%
.  The average grain size 
was measured using the line intercept method and is approximately equal to 10.2 µm.  The size 
of the 
-
phase
 
grains varied between 10 and 40 µm.
 
 
This material showed a higher 
fiber textu
re 
(approximately 9.4 times random) compared to the 
CP Ti
 
and Ti
-
6Al
-
4V AM samples (see 
Figure 
63
-
b)).
 
 
Figure 
62
.
 
BSE SEM photomicrographs showing the
 
r
epresentative microstructure of 
Ti
-
6Al
-
4V  
PM: (a) high
-
 
and (b) low magnifications. 
 
 
 
 
1
0 µm
 
a
 
 
 
 
86
 
Figure 
62
.
 
 
 
 
 
 
2
0 µm
 
b
 
 
 
 
87
 
 
 
Figure 
63
.
 
EBSD data of the Ti
-
6Al
-
4V PM used in this study: a) 
EBSD IPF (Inverse Pole 
Figure) map
 
with the corresponding 
color
 
scale unit triangle
;
 
b
) The 
 
and the 
 
pole 
figures.
  
Note that only the 
 
phase is indicated in this figure and the data corre
phase regions in (a) are black.
 
0001
 
 
b
 
a
 
 
x
 
y
 
 
 
88
 
4
.2. 
NANOINDENTATION RESULTS
 
In this section, the results of the nanoindentation tests on samples irradiated 
ex situ
 
are 
presented.  First, the results of irradiation with Ar at different energies in PM rolled Ti
-
6Al
-
4V 
are provided.  Then a comparison of the hardness between CP Ti, Ti
-
6Al
-
4V PM and AM Ti
-
6Al
-
4V irradiated under the same conditions is provided. 
 
4
.2.1 
R
esults for all materials
 
4
.2.1.1. Ti
-
6Al
-
4V PM 
 
PM
 
rolled
 
Ti
-
6Al
-
4V 
samples
 
were irradiated 
ex situ
 
with Ar 
beams at different energies: 
36 MeV, 0.7
6
 
MeV and 4 MeV.  The full description of the 
irradiation conditions 
i
s 
provided
 
in 
Table 
10
.  The plotted irradiation dose profiles in 
Figure 
64
 
and 
Figure 
65
 
correspond to the dose 
at the probed depth.  The dose at each point 
wa
s estimated by taking the average of the dose over 
the p
robed depth
*
.
 
The hardness as a function of indenter tip depth is plotted i
n 
Figure 
64
 
(for an irradiation 
temperature
 
Figure 
65
 
(for
 
an irradiation
 
and the reference (not irradiated) samples
.
 
 
The hardness values are the calculated average of the 
hardness over depth intervals equ
al to 100 nm. 
 
For all samples, a decrease in the measured 
hardness as 
a 
function of depth was observed.
 
 
A steep increase in hardness at the surface of all 
samples was observed.
 
 
This increase in hardness could be attributed to 
the 
indentation size 
effect
 
[110
, 
111]
. 
 
In fact, and a
s indicated in
 
Figure 
52
, th
e plastic zone 
wa
s 10 times the 
indentation depth for the irradiated samples at 
the 
shallower 
ind
entation 
depth of 50 nm 
[111]
.  
 
 
*
 
See 2.5.3 for the full descript
ion of the method used to estimate the irradiation dose for a certain indentation depth.
 
 
 
89
 
 
 
 
 
Figure 
64
.
 
Hardness
 
as a function of depth for Ti
-
6Al
-
4V PM 
irradiated
 
with
 
the 
following beam energies presented in increasing irradiation dose
: 
a
) 
36
 
MeV Ar
;
 
b
) 
0.76
 
MeV 
Ar; 
c
)
 
4 MeV Ar
.  The
 
plotted error bars correspond to the calculated 
.
  
The probed 
irradiation dose as a function of depth is also plotted for eac
h sample. 
 
 
0.00
0.04
0.08
3
4
5
6
7
8
Irradiation dose (dpa)
Hardness (GPa)
Unirradiated
Dose for Ar @
36 MeV
Dose 
0.0
0.4
0.8
1.2
1.6
3
4
5
6
7
8
Irradiation dose (dpa)
Hardness (GPa)
Unirradiated
Dose for Ar @
0.78 MeV
Dose 
0
4
8
12
16
20
3
4
5
6
7
8
100
200
300
400
500
600
700
800
Irradiation dose (dpa)
Hardness (GPa)
Indentation depth (nm)
Unirradiated
Dose for Ar @
4 MeV
Dose 
a
 
b
 
c
 
 
 
90
 
 
 
 
 
Figure 
65
.
 
Hardness
 
as a function of depth for Ti
-
6Al
-
4V PM
 
irradiated
 
with
 
the 
following beam energies presented in increasing irradiation dose
 
: 
a
) 
36
 
MeV Ar
;
 
b
) 
0.76
 
MeV 
Ar; 
c
)
 
4 MeV Ar
.  The
 
plotted error bars correspond to the calculated 
.
  
The probed 
irradiation dose as a function of depth is plotted for each sa
mple.
 
 
 
0
0.04
0.08
3
4
5
6
7
8
Irradiation dose (dpa)
Hardness (GPa)
Unirradiated
Dose for Ar @
36 MeV
Dose 
0
0.5
1
1.5
2
3
4
5
6
7
8
Irradiation dose (dpa)
Hardness (GPa)
Unirradiated
Dose for Ar @
0.78 MeV
Dose 
0
4
8
12
16
20
3
4
5
6
7
8
100
200
300
400
500
600
700
800
Irradiation dose (dpa)
Hardness (GPa)
Indentation depth (nm)
Unirradiated
Dose for Ar @
4 MeV
Dose 
a
 
b
 
c
 
 
 
91
 
As the dose 
increased, the
 
hardness of the irradiated material increased
 
(
see
 
both
 
Figure 
64
 
and 
Figure 
65
)
.  To better investigate the effect of irradiation on the hardness, the change in 
hardness was calculated for the same condition.  This value 
wa
s calculated by subtracting the 
hardness of the unirradiated sample from the hardness of the irradiated sample at the same depth:
 
 
 
 
 
 
 
Eq
.
 
14
 
This change in hardness (
Hardness
) is plotted in
 
Figure 
66
 
as a function of indentation 
doses.
 
The change i
Figure 
67
.  The 
hardness did not change significantly as a function of depth for the sample ir
radiated with Ar at 
the energy of 
36 MeV 
(
Figure 
67
-
a)
.  However, the hardness decreased as a function of 
depth for the sample irradiated with A
(
Figure 
67
-
b
)
.  The 
(
Figure 
67
-
c
)
 
was the only sample to 
exhibit an increase in hardness from 1.5 GPa to 2 GP
a for depths between 100 nm and 400 nm 
before decreasing again.
 
 
 
 
 
 
 
 
 
92
 
 
 
 
 
Figure 
66
.
 
Hardness
 
as a function of depth for Ti
-
6Al
-
4V PM
 
irradiated
 
with
 
the 
following beam energies presented in increasing irradiation dose
: 
a
) 
36
 
MeV Ar
;
 
b
) 
0.76
 
MeV 
Ar; 
c
)
 
4 MeV Ar
.  The
 
error bars correspond to the calculated 
.
 
 
The probed irradiation dose 
as a function of depth is also plotted for each sample.
 
 
 
 
0
0.04
0.08
-0.5
0.5
1.5
2.5
Irradiation dose (dpa)
Hardness
(GPa)
Dose for Ar @
36 MeV
Dose 
0
0.5
1
1.5
2
-0.5
0.5
1.5
2.5
Irradiation dose (dpa)
Hardness 
(GPa)
Dose for Ar @
0.78 MeV
Dose 
0
4
8
12
16
20
-0.5
0
0.5
1
1.5
2
2.5
100
200
300
400
500
600
700
800
Irradiation dose (dpa)
(GPa)
Indentation depth (nm)
Dose for Ar @
4 MeV
Dose 
a
 
b
 
c
 
 
 
93
 
 
 
 
 
Figure 
67
.
 
Hardness
 
as a function of depth for Ti
-
6Al
-
4V PM irradiated at 30
 
 
with: 
 
a) 36 MeV Ar; b) 0.76 MeV Ar; c) 4
 
MeV Ar.
 
 
The error bars correspond to the calculated 
. 
 
The probed irradiation dose as a function of depth is also
 
plotted for each sample.
 
 
 
 
0
0.04
0.08
-0.5
0
0.5
1
1.5
2
2.5
Irradiation dose (dpa)
Hardness
(GPa)
Dose for Ar @
36 MeV
Dose 
0
0.5
1
1.5
2
-0.5
0
0.5
1
1.5
2
2.5
Irradiation dose (dpa)
Hardness 
(GPa)
Dose for Ar @
0.78 MeV
Dose 
0
4
8
12
16
20
-0.5
0
0.5
1
1.5
2
2.5
100
200
300
400
500
600
700
800
Irradiation dose (dpa)
Hardness 
(GPa)
Indentation depth (nm)
Dose for Ar @
4 MeV
Dose 
a
 
b
 
c
 
 
 
94
 
4
.2.1.2. CP Ti
 
 
 
 
Figure 
68
.
 
Hardness
 
as a function of depth for 
CP Ti
 
irradiated
 
with 
4 MeV Ar
 
beams at:
 
.
  
The 
error bars correspond to the calculated 
.
  
The probed irradiation 
dose as a function of depth is also plotted for each sample. 
 
The hardness as a funct
ion of depth for the 
CP Ti
 
sample irradiated with 4 MeV Ar ions 
beams at two different doses is plotted in 
Figure 
68
 
for temperatures of 30
 
 
and 350
 
.
 
 
For 
all samples, the hardness decreased with increasing depth, and the sample
s
 
irradiated at
 
a
 
higher 
temperature and dose exhibit
ed
 
less hardening.
 
 
This
 
observation
 
is confirmed in 
Figure 
69
, 
which shows the change in hardness as a function of depth. 
 
0
4
8
12
16
20
3
4
5
6
7
8
Irradiation dose (dpa)
Hardness (GPa)
Unirradiated
Dose for Ar @
4 MeV
Dose 
0
4
8
12
16
20
3
4
5
6
7
8
100
200
300
400
500
600
700
800
Irradiation dose (dpa)
Hardness (GPa)
Indentation depth (nm)
Unirradiated
Dose for Ar @
4 MeV
Dose 
a
 
b
 
 
 
95
 
 
Figure 
69
.
 
Hardness
 
as a function of depth for 
CP Ti
 
irradiated
 
with 
4 MeV Ar
 
.
  
The 
plotted error bars correspond to the calculated 
.
  
The maximum probed 
irradiation dose is indicated for each sample.
 
 
4
.2.1.3. Ti
-
6Al
-
4V AM
 
 
Only one sample of the Ti
-
6Al
-
4V
 
AM irradiated at 30
 
 
was available for 
this 
investigation. 
 
Nanoind
entation was performed similarly to the 
Ti
-
6Al
-
4V
 
PM and CP Ti 
samples.  
F
or this sample
, t
he hardness as a function of depth is plotted in 
Figure 
70
.  
As can
 
be 
seen, the hardness decreased as the indentation depth increased for the irradiated sample. 
 
The 
unirradi
a
ted sample exhibited an almost constant hardness value of 5.1 GPa.
 
The change in hardness for the irradiated sample 
i
s plotted as a function 
of depth in
 
Figure 
71
.  This
 
sample exhibited a decrease of 
Hardness 
from 1.1 GPa to 0 GPa over 
indentation 
depths between 100
 
and 
900 nm. 
 
 
-0.5
0
0.5
1
1.5
2
2.5
100
200
300
400
500
600
700
800
Indentation depth (nm)
-
 
Dose up to 
8
 
dpa
 
-
 
Dose up to 
14
 
dpa
 
 
 
96
 
 
Figure 
70
. Hardness
 
as a function of depth for
 
AM
 
Ti
-
6Al
-
4V  
irradiated
 
with 
4 MeV Ar
 
beams 
.
  
The 
plotted error bars correspond to the calculated s
tatistical error
.
 
The probed 
irradiation dose as a function of depth is also
 
plotted.
 
 
Figure 
71
.
 
Hardness
 
as a function of depth for 
AM Ti
-
6Al
-
4V  
irradiated
 
with 
4 MeV Ar
 
.
  
The 
error bars correspond to the 
calculated 
. 
 
The
 
probed irradiation dose 
is also provided.
 
 
4
.2.2. Com
parison between different materials
 
A 
comparison between the three different materials irradiated with the same 4 MeV Ar 
provided in
 
Figure 
72
.  
The hardness decreased significantly from 4.6 to 3.3 GPa for CP Ti, and 
0
4
8
12
16
20
3
4
5
6
7
8
100
200
300
400
500
600
700
800
Irradiation Dose (dpa)
Hardness (GPa)
Indentation depth (nm)
Unirradiated
Dose 
0
4
8
12
16
20
-0.5
0
0.5
1
1.5
2
2.5
100
200
300
400
500
600
700
800
Irradiation dose (dpa)
Indentation depth (nm)
Dose for Ar @
4 MeV
Dose 
 
 
97
 
from 5.9 to 4.3 GPa for Ti
-
6Al
-
4V PM between indentation depths between 100 nm and 750 nm.  
For AM Ti
-
6Al
-
4V, the hard
ness did not decrease as significantly and 
was
 
close to 5.1 GPa.
 
   
 
Figure 
72
.
 
Hardness as a function of depth for 
the 
unirradiated samples of 
CP Ti
, Ti
-
6Al
-
4V 
PM 
and 
AM
.  The error bars correspond to the 
calculated
 
statistical e
rror
 
.
 
 
 
Figure 
73
.
 
Hardness
 
as a function of depth for 
irradiated samples of CP Ti
, Ti
-
6Al
-
4V 
PM 
and 
AM 
irradiated
 
with 
4 MeV Ar
 
.
  
The 
error bars correspond to the calculated 
The probed irradiation dose is also provided.
 
The hardness values at indentation depths between 200 nm and 400 nm were averaged for 
each sample to allow 
for 
a comparison between the
 
three materials
.
 
 
The 
results are presented in 
Figure 
74
 
and 
Figure 
75
.
 
 
In terms of average hardness, the unirradiated samples can be ranked 
from higher to lower as follows: Ti
-
6Al
-
4V PM,
 
Ti
-
6Al
-
4V 
AM, 
and 
CP Ti
 
with the 
3
4
5
6
7
8
100
200
300
400
500
600
700
800
Hardness (GPa)
Indentation depth (nm)
CP-Ti
Ti-6Al-4V (PM)
Ti-6Al-4V (AM)
0
4
8
12
16
20
3
4
5
6
7
8
100
200
300
400
500
600
700
800
Irradiation dose (dpa)
Hardness (GPa)
Indentation depth (nm)
CP-Ti
Ti-6Al-4V
(PM)
Ti-6Al-4V
(AM)
Dose for Ar
@ 4 MeV
Dose 
 
 
98
 
cor
r
esponding values of 5.4 GPa, 5.2 GPa
,
 
and 4 GPa respectively.
 
 
After irradiation with the 
same ion be
am at 30
 
, Ti
-
6Al
-
4V (PM) exhibited the highest average hardness of 7.15 GPa. 
The 
CP Ti
 
and
 
Ti
-
6Al
-
4V
 
AM
 
samples had similar hardness values of 6.12 GPa and 6 GPa
,
 
respectively.
 
 
After irradiation at 350
 
, the average hardness of 
CP Ti
 
and Ti
-
6Al
-
4V (PM)
 
increased to 5 GPa and 7.2 GPa
,
 
respectively. 
 
 
 
Figure 
74
.
 
Average
 
Hardness
 
of CP Ti
, Ti
-
6Al
-
4V 
PM 
and 
AM 
Ti
-
6Al
-
4V 
samples unirradiated 
(black pattern fill) and 
irradiated
 
with 
4 MeV Ar
 
.
  
The irradiation 
dose is 5.4 dpa.  The 
error bars correspond to the calculate
d
 
s
erro
r
.
 
 
 
 
Figure 
75
.
 
Average
 
Hardness
 
(indentation depth between 200 and 400 nm) of CP Ti
, Ti
-
6Al
-
4V 
PM 
and 
AM 
Ti
-
6Al
-
4V 
samples unirradiated (black pattern fill) and 
irradiated
 
with 
4 MeV Ar 
beams at 350
 
 
(solid blue fill).
 
 
The irradiation dose is 10 dpa. 
 
The error bars correspond to 
the calculate
d 
s
error
.
 
0
2
4
6
8
CP-Ti
Ti-6Al-4V (PM)
Ti-6Al-4V (AM)
Average Hardness (GPa)
Unirradiated
1.16
1.33
1.53
H
irr
/
H
non
irr
0
2
4
6
8
CP-Ti
Ti-6Al-4V (PM)
Average Hardness (GPa)
Unirradiated
1.33
1.24
H
irr
/
H
non
irr
 
 
99
 
A 
s
ummary of the results 
wa
s presented in 
Figure 
76
,
 
where 
Hardness
 
was
 
calculated 
for each irradiated sample. 
 
At low irradiation temperature, 
CP Ti
 
and Ti
-
6Al
-
4V
 
PM 
exhibited
 
the highest hardening. 
 
The Ti
-
6Al
-
4V AM ex
h
ibited the lowest hardening after
 
RT
 
irradiation.
  
At 
a 
higher temperature, the average hardness of the irradiated 
-
6Al
-
4V PM was 
higher than 
CP Ti
 
after irradiation up to 10 dpa.
 
 
Figure 
76
.
 
Average
 
Hardness
 
(indentation depth between 200 and 400 nm) 
for 
CP Ti
, Ti
-
6Al
-
4V 
PM 
and 
AM 
irradiated
 
with 
4 MeV Ar
 
 
.
  
The 
error bars correspond to 
the 
calculated 
.
 
 
 
4
.2.3. Effect of dose and temperature
 
Since only multiple samples of Ti
-
6Al
-
4V PM were irradiated at different doses and 
temperatures, the effect of dose and temperature on 
the 
hardness was only investigated for this 
alloy. 
 
For this analysis, the change of hardness between 200 nm and 400 nm was averaged and 
used as a measure of the hardening at the corresponding dose.
 
 
The results are plotted in 
 
Figure 
77
. 
 
At the lowest temperature, there was no change in hardness at the dose
 
of
 
0.036 dpa. 
 
Hardness
 
increased from 0.67 GPa to 2 GPa between 1.1 dpa and 5.4 dpa, respectively. 
 
For the 
0
0.5
1
1.5
2
2.5
CP-Ti
Ti-6Al-4V (PM)
Ti-6Al-4V (AM)
 
 
100
 
samples i
rradiated 350
 
, radi
a
tion hardening was observed in all the samples
 
at doses between 
0.036 dpa to 10 dpa
. 
 
Hardness
 
increased from 0.5 to 
1
.7 GPa between 0.036 dpa and 1.1 dpa, 
respectively.
 
 
At 
low
 
doses, the hardening at 350
 
 
was higher than hardening
 
observed at 
 
30
 
.
 
 
At the highest dose, 
Hardness 
was lower at 
a
 
higher temperature.
 
 
Figure 
77
.
 
Hardness 
as a function of the irradiation dose
 
for PM rolled Ti
-
6Al
-
4V irradiated 
with Ar ion beams at different energies and at t
.
 
 
 
0
1
2
0.01
0.1
1
10
Hardness 
(GPa)
Irradiation dose (dpa)
 
 
101
 
4
.2.4. Summary of the
 
nanoindentation
 
results
 
The hardness of CP Ti
, Ti
-
6Al
-
4V PM and AM 
were investigated using nanoindentation 
the hardness as a function of indentation depth was observed.  This depth
-
dependent decrease in 
hardness is referred to
 
in the literature as the indentation size effect (ISE) 
[1
09, 110, 
138]
.  Nix 
and Gao 
[109]
 
explained this strain gradient, most significant at small indentation depths, as an 
effect of geometrically necessary dislocations (GND).  As the indenter tip pushe
s into the 
surface, GNDs are required to account for the permanent deformation and thus will contribute to 
the measured hardness of the material.  The change of hardness 
Hardness
 
was calculated using 
the hardness of the irradiated and unirradiated materia
ls at the same depth to account for this 
measurement artifact. 
 
The hardness of the reference unirradiated materials is 
presented in 
Table 
17
. 
 
The 
hard
ness
 
values at indentation depths between 200 nm and 400 nm were used to estimate 
Hardness
.  The hardness at a depth of 800 nm, where there was a minimal indentation size 
effect, is also included. 
 
Table 
17
.
 
Summary of the hardness
 
measurement of the unirradiated materials.
 
Material
 
H
unirr 
(GPa)
 
Depth: 200 
-
 
400 nm
 
H
unirr 
(GPa)
 
Depth: ~ 800 nm
 
CP Ti
 
4 +/
-
 
0.1
 
3.3 +/
-
0.3
 
Ti
-
6Al
-
4V (PM)
 
5.4 +/
-
 
0.12
 
4.3 +/
-
0.2
 
Ti
-
6Al
-
4V (AM)
 
5.2+/
-
 
0.06
 
5+/
-
0.19
 
After irradiation with the 4 MeV 
Ar ion beam, the change in hardness was investigated in 
CP Ti
, Ti
-
6Al
-
4V PM
,
 
and AM
.  At low temperature, CP Ti exhibited the highest hardening 
 
(~ 2.1 GPa) for irradiation doses up to 5.4 dpa.  Both 
 
 
 
102
 
(1.8 GPa for Ti
-
6Al
-
4V PM and 0.8 GPa for AM).  
A summary of the hardness of these samples 
irradiated with 4 MeV Ar ions is provided
 
at both temperatures
 
in 
T
able 
18
.
 
T
able 
18
.
 
Hardness measurement
s
 
of the
 
samples
 
irradiated 
with 4 MeV Ar beams.
 
Material
 
Hirr (GPa)
 
Depth: 200 
-
 
400 nm
 
 
 
Dose= 5.4 dpa
 
 
Dose= 10 dpa
 
CP Ti
 
6.17 +/
-
 
0.15
 
5 +/
-
 
0.1
 
Ti
-
6Al
-
4V (PM)
 
7.15 +/
-
 
0.13
 
7.2 +/
-
 
0.14
 
Ti
-
6Al
-
4V (AM)
 
6 +/
-
0.09
 
-
 
The effect of the irradiation temperature was investigated in 
PM rolled 
Ti
-
6Al
-
4V.
 
 
At 
doses below 1 dpa, samples irradiated at 350
 
 
showed higher hardening values than samples 
irradiated at 30
 
.
 
 
The trend observed in 
Figure 
77
 
suggests that the hardening at lower 
temperature
s
 
was more significant at higher doses.
 
4
.3. OBSERVATIONS OF  DISLOCA
TION LOOPS
 
This section 
presents 
the observations and quantification of prismatic  dislocation 
loops in CP Ti and Ti
-
6Al
-
4V
 
AM
 
during 
in situ
 
TEM irradiations with 1 MeV Kr ions at the 
IVEM Facility at different temperatures and dose.  
Th
e 
habit
 
nucleat
ion
 
plane of
 
these
 
dislocation loops 
is 
{1120}
 
and
 
their Burgers vector is
 
 
[65]
.
  
The
se
 
small 
loops 
ar
e 
cor
related to the
 
increase in hardness
 
and
 
reduction
 
in the
 
elongation
-
to
-
failure
 
of
 
irradiated
 
hcp materials 
[65]
.  The nucleation and growth 
[71
, 
139
, 
140]
 
of these loops have been 
extensively studied in Zr and Zr alloys as well as their effect on the hardening 
[14
0 
-
 
144]
.  
Although these loops were observed in irradiated Ti 
[
15
, 
145
, 
70]
, 
there is no prior 
systema
tic 
investigation of the effect of the dose and temperature.  In the following section, prismatic loops 
 
 
103
 
are systematically characterized 
in CP Ti  at different temperatures and doses.  Observation 
of  loops in Ti
-
6Al
-
4V
 
AM
 
were also made at high temp
erature.
 
4
.3.1. CP Ti
 
4
.3.1.1. 
In situ
 
irradiation
 
First, the low dose damage structure was investigated in 
CP Ti
 
irradiated 
in situ
 
at 30
 
, 
360
 
 
and 430
 
. 
 
The 
samples were 
observed during irradiation
 
at
 
doses between 
0.05 dpa
 
and 0.06 dpa
. 
 
At these l
ow doses, the  loops appear to be homogeneously distributed 
throughout the grain
s
. 
 
As shown in 
Figure 
78
, 
Figure 
79
 
and 
Figure 
80
, these loops ha
ve 
a dark 
contrast in 
BF 
images and appear
ed
 
as bright dots in 
DF
 
images. 
 
 
 
Figure 
78
.
 
TEM 
photomic
rographs showing the microstructure of 
CP Ti
 
irradiated with 1 MeV 
Kr ions at a dose of 0.05 dpa with 
g
 
= 
and at 30
 
: a) 
BF
 
condition
, b) 
DF
 
condition
. 
 
The 
s
ame  loops 
a
re circled in red in both images.
 
 
 
 
a
 
b
 
 
 
104
 
 
Figure 
79
.
 
TEM 
photomicrographs
 
showing the microstructure of 
CP Ti
 
irradiated 
at
 
360
 
 
with 1 MeV Kr ions at a dose of 0.06 
dpa with 
g
 
= 
 
a) 
BF
 
condition
, b) 
DF
 
condition
.
 
 
The 
same  loops 
a
re identified in both conditions
.
 
 
Figure 
80
.
 
BF 
TEM 
photomicrograph showing the microstructure of 
CP Ti
 
irradiated at 450
 
 
with 1 MeV Kr ions at a dose of 0.05 dpa with 
g
 
= 
. 
 
Some of the observed
 
 loops are 
circled in red.  
 
At higher doses, the final damage structure in 
CP Ti
 
wa
s investigated at 11 dpa at 30
 
 
(see 
Figure 
81
), 3.7 dpa at 360
 
 
( see 
Figure 
82
) and 0.55 dpa at 430
 
 
(see 
Figure 
83
). 
 
The 
 loops 
exhibited
 
an elliptical shape and a 
larger 
size at the
se 
irradiation temperatures and 
 
 
a
 
b
 
 
 
 
105
 
doses.
 
 
Unfaulting of the loops was observed as evidenced by the lack of stacking fault c
ontrast 
in some of the loops.  
Black dots or very small  loops are still present at these high doses as 
well as the large unfaulted loops and dislocation lines.
  
Dislocation networks were observed in 
the foil irradiated 
at 430
 
 
(see 
Figure 
83
).
 
 
Figure 
81
.
 
B
F
 
TEM 
photo
micrograph showing the  loops observed in the sample irradiated 
up to 11 
dpa 
at 30
 
 
with 
g
 
= 
 
 
Some
 
of the large  loops are indicated with white 
arrow
s
.
 
 
 
 
 
 
106
 
 
Figure 
82
.
 
BF
 
TEM 
photo
micrograph 
showing the  loops observed in the sample irradiated 
up to 0.55 dpa at 360
 
.
 
 
The 
g
 
vector used in this 
condition
 
was 
White arrows 
highlight
 
some of the  loops.
 
Red 
arrows indicate some of the c
-
component loops.
 
 
 
Figure 
83
.
 
B
F 
TEM 
photomicrograph 
of 
the
 
CP Ti
 
: a)
 
White
 
arrows 
point to
 
some of the
 
observed
 
 loops
; b) Higher magnification 
photomicrograph showing an o
bserved dislocation network circled in red. 
 
 
 
a
 
b
 
 
 
107
 
The 
length 
distributions of  loops in the 
samples irradiated at 30
 
, 360
 
 
and 
 
430
 
 
are illustrated 
in 
Figure 
84
. 
 
For samples irradiated at 30
 
, as illustrated in 
Figure 
78
, 
 loops were observed at 0.05 dpa and the average size of the loops w
as
 
9 nm.
 
 
Since the loops 
were too small and dense for precise 
length
 
quantifications
 
in this condition (
30
 
dpa)
, the number of these
 
defects was counted using brightness maxima in Fiji 
[146]
.
 
All the distributions of the length of the loops were sightly
 
right
-
skewed. 
 
For each 
irradiation temperature, as
 
the dose increased, the skewness moved further left.  As a result, the 
median values of the  loop length
 
increased as a function of dose
 
for each irradiation 
temperature (see 
Figure 
84
 
b and c)
.  The area under the curve 
also 
increased as the dose 
increased, which suggests a
 
cumulative
 
increase in total defect number density.
 
 
 
108
 
 
Figure 
84
.
 
Distribution of the 
length
 
of  loops in 
CP Ti
 
irradiated 
in situ
 
with 1 MeV Kr at: 
a) 30
 
, b) 360
 
 
and c) 430
 
.
 
0
10
20
30
40
50
60
70
0.05 dpa
0.06 dpa
3.7 dpa
0
10
20
30
40
50
60
70
0.05 dpa
0.55 dpa
0
10
20
30
40
50
60
70
11 dpa
Median
length
: 27 nm
Defect density (×10
13
 
m
-
2
)
 
a
 
b
 
c
 
Median 
length
: 16.7 nm
 
Median 
length
: 22.3 nm
 
Median length: 24 nm
 
Median
 
length
: 27.6 nm
 
Median length:
 
26.8 nm
 
Length
 
of the  loop
s 
(nm)
 
 
 
109
 
4
.3.1.2. 
Ex situ
 
irradiation 
 
TEM foils were made from the CP Ti samples irradiated 
ex situ
 
with 4 MeV Ar ion 
beams.  Since only the unirradiated side was electropo
lished as explained in
 
3
.2.2
 
(see 
Figure 
29
), the irradiation dose corresponds to the dose at the surface of the sample 4.1 dpa and 7.5 dpa 
for the irradiation temperature of 3
0
 
0
 
di
slocation lines, as well as  loops. 
The l
oops are indicated 
by
 
white 
arrows 
in 
Figure 
85
.  
The size of the loops was larger in the sample irradiated 
 
(
Figure 
85
-
b)
.
 
 
Figure 
85
.
 
B
F 
TEM 
photo
micrograph
s
 
showing 
the CP Ti sample irradiated 
ex situ
 
with 4 MeV 
Ar ions imaged 
with
: a) Sample irradiated 
at
 
3
0
 
 
4.1
 
dpa
; b) Sample irradiated 
at
 
35
0
 
 
7.5
 
dpa.
  
The white 
arrows indicate som
e of the  loops. 
 
 
4
.3.1.3. Effect of dose and temperature
 
The
 
a
rea 
 loop 
number density
*
 
and their median length as a fu
nc
tion of dose for 
CP 
Ti
 
irradiated 
in situ
 
at different temperatures are presented in 
Figure 
86
 
and 
Figure 
87
, 
respectively.
 
 
For the sample irradiated at 30
 
, the 
a
rea 
 loop 
number density
 
decreased 
from ~10
16
 
.m
-
2
 
to 10
15
 
.m
-
2
 
between the doses of 0.06 dpa and 11 dpa, respectively. 
 
This 
 
*
 
Defined as 
the number of
 
specific 
dislocation 
loop types (  or c
-
component) 
in a unit 
area [m
-
2
] (see 3.4.5.2.) 
 
a
 
b
 
 
 
110
 
significant decrease in number density per unit are
a occurred with a significant increase in the 
median loop size from 9 nm to 27 nm. 
 
In the sample irradiated
 
rea 
 loop 
number density
 
increased from 10
15
.
m
-
2
 
to 1.4×10
15
.
m
-
2
 
for the doses of 0.05 to 0.06 dpa.  The 
median loop size went fr
om 11.7 nm to 22 nm.  At the higher dose of 3.7 dpa, the a
rea 
 loop 
number density
 
seems to saturate and reach the value of 1.8 ×10
15
.
m
-
2
.  The a
rea 
 loop 
number density
 
14
.
m
-
2
 
to 1.8×10
15
.
m
-
2
,
 
but the 
loop size did not increase significantly.
 
 
Figure 
86
.
 
A
rea 
 loop 
number density
 
in 
CP Ti
 
irradiated 
in situ
 
with 1 MeV Kr
 
and 
ex situ
 
with 4 MeV 
Ar
 
as a function of dose and at different temperatures
.  The irradiation conditions 
are indicated in the legend.
 
The effect of the irradiation temperature on the  nucleation in CP Ti was investigated 
at the low irradiation dose of 0.05 dpa.  The sample 
irradiated at the lowest temperature had a 
much higher defect density and a smaller loop size.  As the temperature increased, the defect 
number density decreased, and the loop size increased. 
 
0.1
1
10
0.01
0.1
1
10
Area  loop number density 
(
10
15
m
-
2
)
Dose (dpa)
 
 
111
 
 
Figure 
87
.
 
The m
edian 
length
 
of  loops
 
observed in CP Ti irradiated with 1 MeV Kr
 
as a 
function of dose
.
 
 
4
.3.2. Ti
-
6Al
-
4V AM
 
Prismatic loops were 
also 
observed in the irradiated Ti
-
6Al
-
4V 
AM
 
at low irradiation 
doses at 450 
 
and 
a 
higher dose at 340
 
.
 
The evolution of the micros
tructure 
during 
in situ
 
irradiation at
 
450 
 
can be seen in 
Figure 
88
. 
 
Similar to the observations in 
CP Ti
, the number and the size of the  loops 
i
ncreased as the dose increased. The distribution of the  loop evolution 
for Ti
-
6Al
-
4V
 
AM
 
is 
presented in 
Figure 
89
. 
 
As the dose increased from 0.06 
to 0.22 dpa, the median loop length 
increased from 40.6 nm to 55.2 nm
, respectively
. 
 
 
0
10
20
30
40
50
60
70
0.01
0.1
1
10
Length of dislocations (nm)
Dose (dpa)
 
 
112
 
 
Figure 
88
.
 
BF
 
TEM 
photo
micrograph showing the 
same area in AM Ti
-
6Al
-
4V irradiated 
in situ
 
with 1 MeV Kr ions at 
450
 
with 
 
with
 
increasing
 
doses: a) 0 dpa; 
 
b) 0.06 dpa; c) 0.22 dpa
. White arrows indicated s
ome of the observed
  
 loops
 
in b) and c).
 
 
 
Figure 
89
.
 
Distribution of the 
length
 
of  loops in 
Ti
-
6Al
-
4V
 
AM
 
irradiated 
in situ
 
with 
 
1 MeV Kr at
 
4
5
0
 
.
 
0
5
10
15
20
25
30
Area  loop number density 
(
10
13
m
-
2
)
Length of the  loops (nm)
0.22 dpa
0.06 dpa
Median length: 55.2
nm
Median length: 40.6 
nm
a
 
b
 
c
 
 
 
 
 
 
113
 
 
Figure 
90
.
 
A
rea 
 loop 
number density
 
in 
AM Ti
-
6Al
-
4V 
irradiated 
in situ
 
at 
with 
 
1 MeV Kr as a function of 
dose
.
 
 
Figure 
91
.
 
The m
edian 
length
 
of  loops
 
observed 
in 
AM Ti
-
6Al
-
4V irradiated with 1 MeV 
Kr
 
as a function of dose
 
at 
 
An example of the damage structure at a dose
 
of
 
3.7 dpa is presented in 
Figure 
92
.
 
 
In 
addition to  dislocation loops
 
( note their 
elliptical shape
s)
, dislocation networks were also 
observed as shown in 
Figure 
92
-
b. 
 
0.1
1
10
0.01
0.1
1
10
Defect number density (
10
15
m
-
2
)
Dose (dpa)
0
10
20
30
40
50
60
70
0.01
0.1
1
10
Length of dislocations (nm)
Dose (dpa)
 
 
114
 
 
 
Figure 
92
.
 
BF
 
TEM 
photo
micrograph showing the 
same area in AM Ti
-
6Al
-
4V irradiated 
in situ
 
with 
1 MeV Kr ions at 360
 
 
imaged with 
 
at the final
 
dose of 3.7 dpa
: a) Lower 
magnification photomicrograph with  loop pointed with white arrows; b) Higher 
magnification micrograph with an o
bserved 
dislocation network circled in red. 
 
 
4
.4. OBSERVATIONS OF C
-
COMPONENT DISLOCATION LOOPS
 
This section 
presents
 
the observations and quantification of basal c
-
component 
dislocation loops in 
CP Ti
 
and AM Ti
-
6Al
-
4V during 
in situ
 
TEM irradiation experiments with 
 
1 MeV Kr ions at the IVEM Facility at different temperatures and doses.
 
 
The basal loop 
nucleation is tho
ught to occur during the collision cascade stage 
[147]
. 
 
The stability and 
evolution of these loops depend on the presence of impurities, the temperature, the dose and the
ir
 
threshold incubation dose (TID) 
[
20, 
65]
. 
 
In Zr, these loops were found
 
to be mos
tly vacancy 
faulted loops 
[148]
.  The interest in these loops stems from concerns about irradiation
-
induced 
swelling that can have detrimental effects on metals used in nuclear applications 
[23]
.  In Ti, 
these loops also participate in radiation hardening 
at lower doses 
[15]
.
 
 
 
a
 
b
 
 
 
115
 
In the following section,
 
a
 
systematic characteriz
ation of
 
basal
 
loops in 
CP Ti
 
at different 
temperatures and doses 
is
 
presented. 
 
Observation
s
 
of 
c
-
component
 
loops in 
AM 
Ti
-
6Al
-
4V at 
.
 
4
.4.1. CP Ti
 
4
.4.1.1. 
In s
itu 
irradiation
 
In situ
 
TEM irradiation allowed for the observation of the nucleation and gro
wt
h of 
c
-
component
 
loops. 
 
Through the analysis of the acquired images and videos,
 
the
 
threshold 
incubation dose (TID) of 
c
-
component
 
loops in CP Ti w
as
 
identified. 
 
In 
Figure 
93
, the identified 
c
-
component
 
loops in 
CP Ti
 
irradiated at 360
 
 
were highlighted with blue arrows.
 
 
Figure 
93
-
b
 
shows the irradiation dose
 
(0.6 dpa)
 
at which 
c
-
component
 
loops were identified through the 
procedure described in
 
3
.4.4
.
 
 
This dose 
wa
s recorded as
 
the TID for 
CP Ti
 
at 360
 
. 
 
The TID for 
c
-
component
 
loops as a function of irradiation temperature is plotted in 
Figure 
94
 
for different temperatures
. 
 
The TID decreased from 1.4 dpa to 0.2 dpa as the 
irradiation temperatures increased from 30
 
 
to 360
 
.
 
 
These observations 
a
re consistent with 
the 
trends observed in 
Zr ( see 
Figure 
13
)
 
[66]
. 
 
 
 
116
 
 
Figure 
93
.
 
BF TEM photomicrographs showing the microstructural
 
evolution
 
in 
CP Ti
 
irradiated 
with 1 MeV Kr at 360
 
 
at 
increasing
 
doses
 
in the same area
: a) Area before irradiation; b) Area 
at a dose of 0.6 dpa; c) Area at a dose of 1.8 dpa d) Area at a dose of 3.7 dpa.
 
 
The grain 
boundary (GB) is indicated with a white arrow
 
in each p
hotomicrograph
.
  
Blue arrows indicate 
some of the observed c
-
component loops.
 
 
 
a
 
b
 
c
 
d
 
g=0002
 
g=0002
 
g=0002
 
g=0002
 
GB
 
GB
 
GB
 
GB
 
 
 
117
 
 
Figure 
94
.
 
Threshold 
incuba
tion dose (TID) for 
c
-
component
 
loops in 
CP Ti
 
irradiated 
in situ
 
with 1 MeV Kr ion beam
 
as a function of temperature. 
 
Figure 
93
,
 
Figure 
95
 
and 
Figure 
97
 
illustrate the
 
observed
 
increase in c
-
component loop 
nucleation as a funct
ion of 
increasing 
dose
 
in the same area of a CP Ti foil
.
 
 
Denuded zones
*
 
at 
the grain boundary were not observed in irradiated 
CP Ti
 
at any of the temperatures examined, as 
illustrated in 
Figure 
95
 
and 
Figure 
97
.  In fact, c
-
component loops were observed at a distance 
less than 10 nm from the grain boun
dary in all samples.
 
 
Figure 
96
 
shows the coalescence of 
smaller neighboring loops to form longer strings easily identifiable as c
-
component loops in th
e 
CP Ti
 
irradiated with 1 MeV Kr. 
 
The distributions of the length of the c
-
component loops in CP Ti irradiated 
in situ
 
at 
 
are shown in 
Figure 
98
.
  
All the distributions are 
right
-
skewed.  As the dose increases, the right
-
skewed distributions move further to the left.  As 
a result, the median values of the c
-
component loop length increa
se as a function of dose for each 
 
*
Dislocation free zone observed in the case of ir
radiated Zr alloys [66].
 
0
0.4
0.8
1.2
1.6
0
100
200
300
400
500
TID for  c
-
component loops
Temperature (
C)
 
 
118
 
temperature.
  
For the irradiation temperature of 360 
 
and between the doses of 
1.9
 
and 
3
 
dpa, 
the loops that already nucleated grew in size while a few new loops formed
 
(see 
Figure 
98
-
b)
. 
 
A similar trend was observed for the sample irradiated at 430
 
.
 
 
The increase in c
-
component loops length above 50 nm with increased dose is significant
 
(see 
Figure 
98
-
c).  At the 
final irradiation dose of 0.55 dpa, both small ( between 5 and 10 nm) and large (above 50 nm) 
loops were present in the foils 
and as shown in 
Figure 
98
-
c
, 
and 
the two 
highest loop diameter 
peaks were indicated by red arrow
s. 
 
 
 
 
 
119
 
 
Figure 
95
.
 
BF TEM photomicrographs showing the 
microstructur
al evolution
 
in 
CP Ti
 
irradiated 
with 1 MeV Kr at 360
 
 
at 
increasing
 
doses
 
in the same area
: a) Area before irradiation; b) Area 
at a dose of 0.6 dpa; c) Area at 
a dose of 1.8 dpa; d) Area at a dose of 3.7 
dpa. 
 
The grain 
boundary (GB) is indicated with a white arrow. 
 
The red box highlight
s
 
the same area that 
i
s 
magnified in 
Figure 
96
.
  
 
 
 
a
 
b
 
c
 
d
 
g=0002
 
g=0002
 
g=0002
 
g=0002
 
GB
 
GB
 
GB
 
GB
 
 
 
120
 
 
Figure 
96
.
 
BF TEM photomicrographs showing c
oalescence of smaller neighboring loops to 
form longer strings easily identifiable as 
c
-
component
 
type loops in 
CP Ti
 
irradiated with 1 MeV 
Kr at 360
 
 
at different doses: a) Area at a dose of 1.8 dpa ; b) Area at a dose of 3.7 dpa. 
 
g=0002
 
g=0002
 
a
 
b
 
 
 
121
 
 
Figure 
97
.
 
BF TEM photomicrographs showing
 
the microstructur
al evolution
 
in 
CP Ti
 
irradiated 
with 1 MeV Kr at 30
 
 
at 
increasing
 
doses
 
in the same area
: a) Area before irradiation; b) Area 
at a dose of 1.4 dpa; c) Area at a dose of
 
4
.1
 
dpa d) Area at a dose of 11 dpa.
  
Blue arrows point 
to some of the observed c
-
component loops in each micrograph.
 
 
The grain boundary (GB) is 
indicated with a white arrow.
  
Blue arrows indicate some of the observed c
-
component loops.
 
 
g=0002
 
g=0002
 
g=0002
 
g=0002
 
a
 
b
 
c
 
d
 
100 nm 
 
GB
 
GB
 
GB
 
GB
 
 
 
122
 
 
 
 
Figure 
98
.
 
Distribution
s
 
of the 
observed length
 
of 
c
-
component
 
loops in 
CP Ti
 
irradiated 
in situ
 
with 1 MeV Kr at
:
 
a) 30
 
; b) 360
 
; 
and 
c) 430
 
.
 
Red arrows in c) point to the two peak 
densities in the sample irradiated up to a dose of 0.55 dpa.
 
0
10
20
30
40
50
11 dpa
4.1 dpa
1.4 dpa
0
10
20
30
40
50
3.7 dpa
1.9 dpa
0.6 dpa
0
10
20
30
40
50
Observed loop length (nm)
0.55 dpa
0.4 dpa
0.22 dpa
Median diameter: 23.6 nm
 
Median diameter: 17.9 nm
 
Median diameter: 8.6 nm
 
Median diameter: 20 nm
 
Median diameter: 19.6 nm
 
Median diameter: 12.3 nm
 
Median diameter: 
20.1
 
nm
 
Median diameter: 
17.7
 
nm
 
Median diameter: 9.4 nm
 
Area d
efect
 
number 
density (×10
13
 
m
-
2
)
 
 
a
 
b
 
c
 
 
 
123
 
4
.4.1.2. 
Ex situ
 
irradiation
 
TEM foils made from 
CP Ti
 
samples irradiated 
ex situ
 
with 4 MeV Ar ion beams at 30
 
 
and 350
 
 
were also examined. 
 
As the temperature increased, the c
-
component loop length 
increased significantly as can be seen in 
Figure 
99
. 
 
 
Figure 
99
.
 
BF TEM photomicrographs showing the CP Ti samples irradiated 
ex situ
 
with 4 MeV 
Ar ions imaged with 
surface of 
.
  
Blue arrows 
indicate some of the observed c
-
component loops.
 
 
 
4
.4.1.3. Effect of dose and temperature
 
To better understand the effect of 
the 
dose and temperature on the evolution of c
-
component loops in 
CP Ti
 
at different temperatures and doses, defect number densit
ies
 
and linear 
densit
ies
 
were calculated 
(see
 
Figure 
100
 
and 
Figure 
101
)
.
 
 
The median values of the c
-
component loop length 
as a function of dose and temperature are plotted 
in 
Figure 
102
. 
The
 
defect
 
number
 
densities for the sample irradiated at 30
 
 
were the lowest and they increased 
 
200 nm
 
g = 0002
 
g = 0002
 
a
 
b
 
200 nm
 
 
 
124
 
as a function of 
dose.
 
 
As for the sample irr
adiated at 360
 
, a slower increase in the defect 
number density between 0.6 dpa and 
3
 
dpa was observed with an increase in the loop length from 
9 nm to 
20
 
nm. 
 
The sample irradiated at 43
0
 
,
 
exhibited a significant increase in c
-
component 
loop area densi
ty (see 
Figure 
100
) and length (see 
Figure 
102
) between doses of 0.2
2 and 
 
0.4 dpa.  Additional higher dose data points are needed to verify whether the c
-
component loops 
evolution saturates at ~ 0.55 dpa.
 
 
Figure 
100
.
 
Defect number density as a function of dose and temperature for 
CP Ti.
 
 
Figure 
101
.
 
Defect linear density as a function of dose and temperature for 
CP Ti.
 
0.1
1
10
0.01
0.1
1
10
Area defect number density 
10
15
(m
-
2
)
Dose (dpa)
0
0.02
0.04
0.06
0.08
0.01
0.1
1
10
Linear density (nm/nm
-
2
)
Dose (dpa)
 
 
125
 
 
Figure 
102
.
 
The m
edian 
observed 
length
 
of 
c
-
component
 
loops as a function of dose and 
temperature
.
 
 
4
.4.2. Ti
-
6Al
-
4V AM 
 
In situ
 
 
Ti
-
6Al
-
4V 
AM 
in order to observe c
-
component loop nucleation and growth.
 
The 
evolution of c
-
component loop nucleation in Ti
-
6Al
-
4V
 
AM
 
is presented in 
Figure 
103
 
 
 
The TID a
t this temperature was 
0.43 dpa as shown in 
Figure 
103
-
b. 
 
The observation of
 
dislocation loops in this Ti alloy was 
complicated by the appearance of sma
ll features visible under this imaging 
condition (
)
 
( see 
Figure 
103
-
(b
-
d))
.
 
 
As such, the quantification of basal c
-
component loops was only 
per
formed at a dose of 3.7 dpa (see 
Figure 
104
).
 
 
0
10
20
30
40
50
60
70
0.01
0.1
1
10
Length of dislocations (nm)
Dose (dpa)
 
 
126
 
 
Figure 
103
.
 
TEM BF 
photo
micrographs showing the evolution of the microstructure in
 
AM
 
 
Ti
-
6
Al
-
4
V
 
irradiated with 1 MeV Kr 
ions 
at 360
 
 
at 
increasing
 
doses
 
in the same area
: a) Area 
before irradiation; b) Area at a dose of 0.
43
 
dpa; c) Area at a dose of 1.9 dpa
; 
b) Area at a
 
dose of 
3.7
 
dpa
. 
 
Some of the c
-
component loops are indicated with a blue arrow.
 
The distributions of the observed length of basal loops in the AM Ti
-
6Al
-
4V 
are
 
shown 
in 
Figure 
104
. 
 
Similar to 
CP Ti
 
(see 
Figure 
98
), this distribution was also right
-
skewed. 
 
The 
median
 
c
-
component loop length was equal to 10.7 nm
,
 
which is much smaller than 
the c
-
component loop length observed in
 
CP Ti
 
at the same irradiation condition. 
 
The calculated c
-
component loop number density was 2.18 × 10
15
 
m
-
2
 
and the linear density was 3.1 × 
10
7
 
m/m
2
.
 
a
 
b
 
g=0002
 
c
 
g=0002
 
g=0002
 
g=0002
 
d
 
 
 
127
 
 
Figure 
104
.
 
Distribution of the 
observed length
 
of 
c
-
component
 
loops in 
CP Ti
 
irradiated 
in situ
 
with 1 MeV Kr at
 
360 
 
the same irradiation conditions (see 
Figure 
105
)
.
  
However, as can
 
be seen in 
Figure 
106
, the c
-
component loop length in Ti
-
6Al
-
4V
 
AM
 
was significantly shorter.  
 
 
Figure 
105
.
 
Area c
-
component
 
loop
 
number density as a function of dose for 
CP Ti and AM 
 
Ti
-
6Al
-
 
with1 MeV Kr ion beams.
 
0
10
20
30
40
50
60
70
80
90
Area defect number density
(
10
13
m
-
2
)
Observed loop length (nm)
3.7 dpa
Median length 7.9 nm
0.1
1
10
0.01
0.1
1
10
Area defect number density 
10
15
(m
-
2
)
Dose (dpa)
CP
-
Ti 
-
Ti64
-
AM
-
 
 
128
 
 
Figure 
106
.
 
C
-
component loop length as a function
 
of dose for 
CP Ti and AM Ti
-
6Al
-
4V 
 
with 1 MeV Kr ion beams
.
 
Analyzing 
c
-
component
 
loops was not possible for the sample irradiated at 430
 
 
due to
 
complex features app
ear
ing under the imaging conditions selected for this experiment (
g
 
= 0002) 
and that were not 
c
-
component
 
loops
 
(See 
Figure 
107
-
b)
.
 
 
These linear 
features already appeared 
after heating the sample
,
 
as can be seen in 
Figure 
107
-
a.
 
 
  
 
Figure 
107
.
 
TEM BF 
photo
micrographs showing
 
the microstructur
al evolution
 
in 
AM 
Ti
-
6
Al
-
4
V
 
irradiated with 1 MeV Kr at 
 
a) Area before irradiation; b) Area at a dose of 0.
55
 
dpa
. 
 
 
 
0
10
20
30
40
50
60
70
0.01
0.1
1
10
length of dislocations (nm)
Dose (dpa)
CP
-
Ti 
-
Ti64
-
AM
-
g=0002
 
g=0002
 
a
 
b
 
 
 
129
 
CHAPTER 
5
 
DISCUSSION
 
 
 
In this chapter, a discussion of the radiation damage in Ti and Ti alloys is provided.  The 
results of the TEM investigation are compar
ed to previously published results to validate the 
findings.  T
he dispersed barrier hardening model 
i
s
 
used in 
CP
-
Ti
 
to analyze structure
-
mechanics 
relationships after irradiation
.
  
A good agreement between experimental measurements of the 
hardening in irr
adiated 
CP
 
Ti and the calculated cont
r
ibutions from 
dislocation 
loops 
is 
found.
 
 
The barrier strength factors of 
the 
 and c
-
component 
dislocation loops 
are 0.
15
 
and 0.02, 
respectively confirming that  loops act as strong barriers to dislocation motion in ion 
irradiated Ti 
[33]
.  Finally, the effect of the microstructure and grain size among the three 
materials is discussed. 
 
The irradiation dose and temperatur
e dependence in hardening is analyzed for the Ti
-
6Al
-
4V
 
PM
.  The effect of the initial microstructure on the 
resistance to radiation
-
induced hardening 
in low
-
temperature irradiation with 
a 
4 MeV Ar ion beam 
in
 
the AM 
and PM 
alloy
s is discussed
.
 
 
5
.1. DISCU
SSION OF DISLOCATION LOOP CHARACTERIZATION
 
5
.1.1. Evolution of 
 loops
 
The defect number density of  dislocation loops and their equivalent diameter in 
CP 
Ti from the current work were compared to 
the 
results of ion 
[33]
 
and proton 
[14]
 
irradiation in
 
Figure 
108
 
and
 
Figure 
109
.
 
 
As expected, temperature and dose dependence was observed for all 
samples. 
 
At
 
a
 
low temperature, high defect densities and smaller defect sizes were observed in 
the 
sample
s
 
irradiated with 1 MeV Kr and 590 MeV protons 
[13]
. 
 
The defect density decreased 
 
 
130
 
for higher temperatures while the loop size 
increased. 
 
Since the dose rate was lower, a
 
temperature shift of 30
 
 
for the irradiation with 590 MeV protons at 250
 
, as 
shown in 
Table 
16
.
 
 
Hence, the equivalent temperature for this 
590 MeV protons
 
irradiation 
[13]
 
,
 
closer to the irradiation temperature in [33].  
T
he
 
defect densities resulting from 
proton
 
irradiations
 
[14]
 
is higher
 
than
 
ion irradiation results from both the current work and 
[33]
. 
   
 
 
Figure 
108
.
 
Comparison of the results from current work and literature for defect number 
density of  loops
 
for Ti
: 
Irradiated with 1 MeV Kr and 4 MeV Ar ion beams from the current 
work
 
(CP Ti)
; Irradiated with 6 MeV Ti ion beams from 
[33]
 
(CP Ti)
;
 
Irradiated wit
h 590 MeV 
proton beam from 
[13]
 
(High purity Ti)
. 
 
The irradiation temperature for each set of samples is 
indicated 
i
n the legend.
 
 
1E+21
1E+22
1E+23
1E+24
0.0001
0.01
1
Defect number density (m
-
3
)
Dose (dpa)
1 MeV Kr 
-
1 MeV Kr 
-
1 MeV Kr 
-
4 MeV Ar 
-
4 MeV Ar 
-
6 MeV Ti 
-
6 MeV Ti  
-
590 MeV protons 
-
590 MeV protons 
-
10
24
10
23
10
22
10
21
[33]
 
[33]
 
[13]
 
[13]
 
 
 
131
 
 
Figure 
109
.
 
Comparison of the results from current work and literature for the evolution of 
equivalent diameter of  loops
 
for Ti:
 
Irradiated with 1 MeV Kr and 4 MeV Ar ion beams 
from the current work
 
(CP Ti)
; Irradiated with 6 MeV Ti i
on beams from 
[33]
 
(CP Ti)
;
 
Irradiated 
with 590 MeV proton beam from 
[13]
 
(High purity Ti)
.
 
 
The irradiation temperature for each set 
of samples 
were
 
indicated 
i
n the legend.
 
D
Y, defined as the probability for an incident ion to produce a
 
visible 
defect, is an important parameter to consider for radiation resistance. 
 
In the plot of defect 
number 
densities
 
(
Figure 
108
)
, the defect yield d
ecreased with
 
temperature due to the enhanced 
mobility of point defects and
 
their recombination 
[66]
. 
 
The microstructure of irradiated Ti
6Al
4V
 
PM
 
was investigated after neutron 
[12
, 
149]
, 
proton 
[150
 
-
 
152]
, and heavy
-
ion irradiation
s
 
[11
, 16, 
17
, 
33
, 92, 
153]
.  Special 
attention was 
given to the irradiation
-
induced precipitation, especially at high temperatures (RIS domain 
illustrated in
 
Figure 
54
)
.  
Either
 
V
-
rich precipitates [12
, 
17]
 
 
[16] were 
observed at doses between 0.3
 
dpa and 3
 
 
At lower 
temperatures, TEM investigations showed mainly
 
a high density of dislocation loops 
[12]
.  
 
1
10
100
0.0001
0.01
1
Equivalent diameter (nm)
Dose (dpa)
1 MeV Kr 
-
1 MeV Kr 
-
1 MeV Kr 
-
4 MeV Ar 
-
4 MeV Ar 
-
6 MeV Ti 
-
6 MeV Ti  
-
590 MeV protons 
-
590 MeV protons 
-
[33]
 
[33]
 
[13]
 
[13]
 
 
 
132
 
 
 
Figure 
110
.
 
Comparison of the results from current work and literature for the evolution of  
loops: a) Defect number density and b) Equivalent diameter in
 
two different
 
Ti
-
6Al
-
4V alloys: 
AM and irradiated with 1 MeV Kr and at 430
 
 
from the current work;
 
PM
 
Irradi
ated with 
 
6 MeV Ti ion beams from 
[33]
.
 
 
The irradiation temperature for each set of samples is indicated 
i
n the legend.
 
A comparison between  loops in Ti
-
6Al
-
4V alloys AM irradiated with ion beams 
from the current work and PM from [33] is presented in 
Figure 
110
. 
 
In b
oth ion irradiations at 
430
 
 
of the AM and PM [33] alloys, a
n 
increase of the defect density was observed. 
 
 
In 
Ti
-
6Al
-
4V 
PM irradiated at 300
 
, the  loop number density did not change between 0.6 
and 3 dpa.
 
 
In terms of the defect size, the equivalen
t diameter of AM Ti
-
6Al
-
4V was higher than 
for the PM alloy. 
 
For the irradiations with 6 MeV Ti
 
ions
 
[33], the dose rate was very similar 
 
(
~
4
 
dpa/s) and
 
that could not account for the higher defect size.
 
 
Investigating, 
Ti
-
6Al
-
4V 
1E+21
1E+22
1E+23
0.01
0.1
1
10
Defect number density (m
-
3
)
Dose (dpa)
Ti
-
6Al
-
4V(PM) 
-
6 MeV Ti 
-
Ti
-
6Al
-
4V(PM) 
-
6 MeV Ti 
-
Ti
-
6Al
-
4V (AM) 
-
1 MeV Kr 
-
10
23
10
22
10
21
1
10
100
0.01
0.1
1
10
Equivalent diameter (nm)
Dose (dpa)
Ti
-
6Al
-
4V(PM) 
-
6 MeV Ti 
-
Ti
-
6Al
-
4V(PM) 
-
6 MeV Ti 
-
Ti
-
6Al
-
4V (AM) 
-
1 MeV Kr 
-
a
 
b
 
[3
3]
 
[33]
 
 
[33]
 
[33]
 
 
 
 
133
 
AM samples 
irradiated 
at lower temperatures might 
lead to a
 
better unde
r
standing 
of 
the effect of 
the grain refinement on the dislocation loop structure. 
 
A discussion of the eff
ect of the grain size  
on radiation resistance is presented in 
5
.2.1.6.
 
Irradiation temperatures below 500
 
, as was the case in the current work, fall 
whithin
 
intermediate temperature stage
*
 
[58]
, where point defects
, including
 
self
-
interstitial atoms (S
IAs) 
and vacancies
,
 
are mobile.
 
 
At lower doses, these loops appear as black dots, such as the 
observed loops in 
CP Ti
 
sample irradiated at 30
 
 
at a dose of 0.05 dpa.
 
 
These small defects 
were also observed in Zr 
[66]
 
and are 
identified as  
dislocation
 
loops formed by the collapse 
of vacancy and interstitial clusters
 
[70]
.
 
 
As the irradiation dose increase
d
, the size of these loops 
increased, as observed for all irradiation temperatures.
 
 
Similar to the case of Zr 
[66]
, loop 
gro
wt
h is thought to occur a
s a result of loop calescence 
, i.e.
 
the absorption of smaller loops
 
by 
larger loops
 
[17
, 
23
, 
33]
. 
 
Alongside the coalescence of already formed loops, new small defects 
were also present. 
 
The final damage structure at 430
 
, included dislocation networks both for 
CP Ti
 
and AM Ti
-
6Al
-
4V
 
( see 
Figure 
83
 
and 
Figure 
92
).
 
 
Interactions between dislocation loops 
and dislocation networks may result in loop 
unfaulting 
[23]
. 
 
These unfa
u
lted loops 
can then 
contribute to the dislocation network. 
 
5
.1.2. 
Formation of 
c
-
component
 
loop
s
 
and threshold incubation dose (TID) 
 
R
adiation
-
induced 
swelling
 
in hcp metals 
depends on the dislocation density, grain size, 
sha
pe and 
texture and irradiation temperature
.  Swelling
 
is enhanced for samples containing c
-
component loops [74].  This is the reason that c
-
component loop nucleation was extensively 
studied in Zr and Zr alloys [74
, 76, 1
54].  Investigation
s
 
of c
-
component 
loops in Ti are very 
 
*
 
Point defect recovery stages that can identify the temperature at which point defects are mobile: Low temperature 
stage, intermediate temperature stage and high temperature stage 
[58]
.
 
 
 
134
 
limited [33] and the current study is
 
the first to investigate their evolution at different 
temperatures and doses. 
 
Similar to Zr alloys 
[
66
]
, the current work showed that 
c
-
component
 
loops were only observed after reaching a threshold incubation dose (TID).
 
In 
CP Ti
, 
c
-
component
 
loops nucleated more easily in samples irradiated at higher 
temperature
s
,
 
as can be seen in 
Figure 
111
.
  
The TID in the current work was reported in the 
same way
*
.
 
 
The migration and formation energies of vacancies and interstitials in Zr being 
higher than those of Ti [155] could explain the lower doses at wh
ich c
-
component loop were 
observed in the current work.  
One of the main mechanisms assisting the formation of 
c
-
component
 
loops is the presence of alloying elements in the metal
,
 
especially the presence of Fe 
[20]
.
 
 
Fe b
eing a fast diffuser
 
[156]
, the rad
iation
-
induced dissolution of precipitates increase
s
 
the interstitial diffusion of Fe in the 
Ti 
matrix. 
 
This enhanced diffusion 
can 
decrease the 
stacking fault energy of 
the Ti
 
matrix, which 
assists the nucleation of c
-
component
 
loops 
[76]
.
 
 
The
 
Fe
-
rich p
recipitates observed in the current study in 
CP Ti
 
(see 
Figure 
58
) could explain the 
lower TID values as opposed to th
ose for
 
pure Zr in 
[20]
, where no 
precipitates were observed. 
 
In fact
,
 
for pure Zr, 
c
-
component
 
loops were not observed at temperatures 
below
 
400
 
.
 
 
The 
TID for Ti
-
6Al
-
4V
 
AM
 
at 360
 
0.22 dpa
. This dose
 
was lower than for 
CP Ti, which is 
consistent with
 
a decrease in stacking 
fault energy with increasing Al content in Ti alloys [157].  
These results are coherent with
 
observations in Zr alloys
,
 
where 
certain 
alloying
 
elements
 
promote
 
the
 
c
-
component
 
loop nucleation 
[76]
. 
 
 
*
 
TID is the dose at which c
-
component loops
 
were unambiguously identified in a TEM photomicrograph.
 
 
 
135
 
 
Figure 
111
.
 
Threshold incubati
on dose for 
c
-
component
 
loops in samples irradiated with 1 MeV 
Kr ions:  
CP Ti
 
and Ti
-
6Al
-
4V
 
AM
 
results are from 
the 
current work and 
the 
Excel
 
Zr results are 
from 
[20]
.
  
All irradiations were performed at the IVEM facility with 1 MeV Kr ion beams.
 
The def
ect densities for  and c
-
component dislocation loops in 
CP Ti
 
irradiated 
in situ
 
with 1 MeV Kr ions are plotted in 
Figure 
112
.
 
 
For irradiations at 30
 
 
and 360
 
, the number 
density of  loops decreased as the c
-
component loop density increased
,
 
supporting the 
hypothesis that the nucleation of c
-
component loops is
 
assisted by 
<
a
>
 
loops 
[125]
.
 
 
Figure 
112
. Defect number densit
ies
 
of dislocation loops in 
CP Ti
 
irradiated 
in situ
 
with 1 MeV 
Kr ions at different temperatures as indicated on the legend. 
 
Although the presence of 
c
-
component
 
loo
ps 
was
 
previou
s
ly reported 
[
65, 
70]
, Jouanny 
[36] was the first to quantify them for 
CP Ti
 
samples irradiated at 300
 
 
[33]
.
 
 
A comparison 
0
1
2
3
4
5
6
7
0
100
200
300
400
500
TID for c
-
component loops
CP-Ti
Ti-6Al-4V AM
Excel Zr alloy
[
20
]
1E+21
1E+22
1E+23
0.01
0.1
1
10
Defect number density (m
-
3
)
Dose (dpa)
 loops 
-
 loops 
-
 loops 
-
c
-
component loops 
-
c
-
component loops 
-
c
-
component loops 
-
10
23
10
22
10
21
 
 
136
 
between the results reported by Jouanny 
[33]
 
and the current results 
is
 
presented 
in 
Figure 
113
. 
 
Samples irradiated 
ex situ 
with 6 MeV Ti and 4 MeV Ar ion beams at a temperature of 300
 
 
and 350
 
 
had similar linear loop densities. 
 
The 
higher linear defect densities observed for the 
sample irradiated 
in situ
 
with 1 MeV Kr ion beam at and 360
 
 
may be a result of the 
surface 
stress in the foil [20].  This stress was suggested as a factor assisting c
-
component loop 
nucleation during in sit
u TEM irradiations of Zr [148].
 
The linear defect density of the Ti
-
6Al
-
4V 
AM 
was significantly lower than that for 
CP 
Ti
 
irradiated with the same 1 MeV Kr ions and at 360
 
 
and a similar dose of ~ 3 dpa.  
Although c
-
component loops nucleate at lower doses
 
in the Ti
-
alloy compared to CP Ti, their 
growth is less important subsequently.  This observation suggests a lower radiation
-
induced 
swelling in Ti
-
6Al
-
4V AM compared to CP Ti
.
 
 
Figure 
113
.
 
The l
inear defect density of 
c
-
component
 
dislocation loops as a function of dose in 
CP Ti
 
and Ti
-
6Al
-
4V AM
 
irradiated with 1 MeV Kr and 4 MeV Ar ion beams from current 
work. 
 
Data for 
CP Ti 
sample irradiated with 6 MeV Ti at 300
 
 
were
 
extracted from 
[33]
.
 
A comparison between the evolution of c
-
component loops in CP Ti and Zr [20] during 
irradiation with 1 MeV Kr ions is prese
nted in 
Figure 
114
. Although the area defect number 
densities were comparable, the average lengths of the observed c
-
 
component loops are higher in 
0.00E+00
2.00E+14
4.00E+14
6.00E+14
0.1
1
10
Linear Dislocation  Density 
(m/m
3
)
Dose (dpa)
4 MeV Ar 
-
1 MeV Kr 
-
1 MeV Kr 
-
4 MeV Ar 
-
1 MeV Kr 
-
6 MeV Ti 
-
Ti
-
6Al
-
4V (AM) 
-
1 MeV Kr 
-
6
×
10
14
4
×
10
14
2
×
10
14
0
[
33]
.
 
[33]
 
 
 
137
 
Zr than CP Ti.  Radiation
-
induced swelling is therefore expecte
d to be higher in Zr.  Data on the 
swelling of Ti was not available to confirm this hypothesis.
 
 
Figure 
114
.
 
Comparison between the evolution of c
-
component
 
dislocation loops as a function 
of dose in 
CP Ti (current work) and Zr [20]
 
irradiated with 1 MeV Kr ion beams
: a
-
 
Area defect 
number density and b) Average length of the loops observed edge
-
on.
 
5
.1.3. 
Denuded zones
 
Denuded zones or defect
-
free zones at t
he grain boundaries were not observed in any of 
the irradiated samples in this study. 
 
In fact, grain boundary sink efficiency has often been linked 
to the size of denuded zones through experimental observations 
[66
, 
158
 
-
 
161]
. 
 
The large width 
of a denud
ed zone near a grain boundary demonstrates a high sink efficiency for the boundary 
[158]
.
 
 
The suppression of dislocation loop formation near the boundary is likely due to the 
enhanced interstitial diffusion toward grain boundary at high temperature
s
 
[162]
.  H
owever
,
 
their 
sink efficiency can depend on the GB type 
[158]
. 
 
Additionally, for grain sizes above 100 nm, 
the effect of the grain boundary on the defect density is not clear
[159]
. 
 
Although the lack of 
observed denuded zones in the current work could
 
be due to the limited number of investigated 
grains, the 
lower increase in
 
hardness
 
after low
-
temperature irradiation
 
of
 
Ti
-
6Al
-
4V 
A
M 
compared to 
AM can not be explained only by the increased GB surface area. 
 
0
0.5
1
1.5
2
2.5
3
0.2
2
20
Area defect number density 
10
15
(m
-
2
)
Dose (dpa)
0
10
20
30
40
50
60
70
80
0.2
2
20
length of dislocations (nm)
Dose (dpa)
CP Ti 
-
CP Ti 
-
Zr 
-
Zr 
-
a
 
b
 
 
 
138
 
5
.2. DISCUSSION OF NANOINDENTATION RESULTS
 
5
.2.1. 
Comparison of the hardness results with the literature
 
5
.2.1.1. 
Unirradiated materials
 
Table 
19
 
is a summary of the comparison between the hardness for each of the materials 
studied here and those found in 
the 
literature
 
measured using nanoindentation with a Berkovich 
inde
n
ter tip
 
at depths ab
ove 700 nm. 
 
[33]
 
is particularly important since it also investigated radiation damage in similar Ti alloys irradiated 
with ions.  
The hardness 
of the
 
CP Ti Grade 2
 
in this
 
dissertation
 
is similar to t
he hardness 
reported in other 
works [33
, 
163].  The
 
current
 
hardness of the PM rolled Ti
-
6Al
-
4V 
with 
equiaxed grains 
was lower than that reported in [33]
, where the Ti
-
alloy had a bimodal 
microstructure with globular 10 µm 
-
phase grains in addition to lam
ellar grains
.  The AM Ti
-
6Al
-
4V manufactured thro
ugh direct metal laser sintering was similar to the sample produced 
through selective laser melting and HIPed
 
in
 
[164]
.
 
Table 
19
.
 
Summary of the hardness values of the unirradiated materials.
 
Material
 
H
unirr 
(GPa)
 
Reference
 
CP Ti
 
3.3 
± 
0.3
 
This work
 
3.4 
± 
0.36
 
[33]
 
2.9 ± 0.4
 
[163]
 
Ti
-
6Al
-
4V 
(PM)
 
4.3 
± 
0.2
 
This work
 
5.84 
±
 
0.84
 
[33]
 
5.0 ± 0.2
 
[164]
 
Ti
-
6Al
-
4V 
(AM)
 
5 
± 
0.19
 
This work
 
5.24
 
-
 
6.52 Electron Beam 
Melting
 
[165]
 
5.1 ± 0.5 
Selective laser melting & HIPed
 
[164]
 
 
 
 
139
 
5
.2.1.2. 
Irradiated material
 
5
.2.1.2.1. CP
 
Ti
 
Limited irradiation experiments were available for comparison with the results of this 
study
,
 
especially for 
CP Ti
.
 
 
A summary of the available hardness change after irradiation with 
ion beams and proton beams is presented in 
Figure 
115
.
 
 
As can be seen, ion irradiation allow
ed
 
for the investigation of higher doses than in proton irradiation. 
 
It should be noted that in 
[14]
, 
high purity Ti was used as opposed to 
CP Ti
 
in both 
[33]
 
and 
[93]
.
 
 
At low irradiation 
temperature and low doses, h
igher purity Ti samples 
[14]
 
exhibited 
almost no
 
hardening 
compared to
 
the lower
-
purity 
CP Ti
 
in 
[93]
. I
n both materials, the hardness increased
 
as a 
function of dose. 
 
For samples irradiated at higher doses, a temperature effect is 
evident
 
as the 
Hardnes
s
 
values were higher for samples irradiated at lower temperatures. 
 
 
Figure 
115
.
 
Change in hardness plotted for 
CP Ti
 
samples: Irradiated with 4 MeV Ar ion beams 
from this work (filled diamond symbols); Irradiated with 6 MeV Ti ion beams from 
[33]
 
(empty 
black triangle); Irradiated with 7 MeV proton beam from 
[93]
 
(blue +); High purity Ti irradiated 
with 590 MeV proton b
eam from 
[14]
 
(blue and red ×);
 
The irradiation temperature for each set 
of samples is indicated in the legend.
 
 
0
0.5
1
1.5
2
2.5
3
0.0001
0.01
1
(GPa)
Dose (dpa)
6 MeV Ti 
-
7 MeV Proton 
-
590 MeV protons 
-
590 MeV protons
-
Ion irr
Proton irr
[33]
 
[93]
 
[14]
 
[
14]
 
 
 
140
 
5
.2.1.2.2. 
Ti
-
6Al
-
4V 
 
Since no other studie
s have bee
n
 
performed on the Ti
-
6Al
-
4V
 
AM
, a comparison with the 
literature is not possible for this
 
material
.
 
 
The hardness of the irradiated PM rolled Ti
-
6Al
-
4V 
was compared to other conventi
on
ally rolled Ti
-
6Al
-
4V irradiated with neutrons 
[12]
, protons 
[
14, 
93]
 
and ion beams 
[33]
 
at low temperature ( below 50
 
) and high temperature (above 
 
300
 
). 
 
A
 
summary of the comparison is shown in 
Figure 
116
. 
 
At an irradiation dose below 1 
dpa
,
 
the hardening at low temperature for Ti
-
6Al
-
4V samples irradiate
d with neutrons at 50
 
 
[12]
 
and protons at 40
 
 
[93]
 
was lower than for samples irradiated at 350
 
. 
 
The large 
variability of the data for Ti
-
6Al
-
4V irradiated with 6 MeV Ti ion beams 
[33]
 
at 430
 
 
would 
suggest that no significant change in hardness was observed for these samples.
 
 
Figure 
116
.
 
Change in hardness plotted for Ti
-
6Al
-
4V
 
PM
 
samples: Irradiated with 4 MeV Ar 
ion beams from this work (filled circles symbols);
 
Irradiated with 6 MeV Ti ion beams from 
[33]
 
(empty black triangle); Irradiated with 7 MeV proton beam from
 
[93]
 
(blue +);
 
Irradiated with 
neutrons from 
[12]
 
(green *); Irradiated with 590 MeV proton beam from 
[1
4
]
 
(red ×);
 
The 
irradiation temperature for each set of samples 
were
 
indicated in the legend.
 
 
 
0
1
2
3
0.0001
0.01
1
Hardness
(GPa)
Dose (dpa)
6 MeV Ti 
-
7 MeV Proton 
-
Neutron -Tirr=60 and Ttest=50
590 MeV protons
-
[33]
 
[93]
 
[12]
 
[14]
 
 
 
141
 
5
.2.1.3. 
Effect of 
the 
electronic excitation 
energy
 
Figure 
117
 
shows a comparison between the hardness of the Ti
6Al
4V
 
PM
 
sample 
irradiated 
with
 
a 
36 MeVAr
 
ion beam
 
at
 
350
 
°C with and without the 
Ti
-
foil on the surface
 
(see 
Figure 
31
).
 
 
A higher hardening was observed for the sample with the Ti
-
foil on the surface 
characterized by a higher
 
electr
onic excitation energy 
S
n
 
on
 
the surface (
 
0.25
 
keV
 
nm
1
) and 
lower
 
S
e
 
(
1.4
 
keV
 
nm
1
) compared to the sample without the Ti
-
foil (
S
n
 
 
0.015
 
keV
 
nm
1
 
and
 
S
e
 
7.4
 
keV
 
nm
1
). 
 
This 
difference 
suggest
ed 
that the hardening in Ti
6Al
4V is mainly 
dependent on the ballistic effect
 
(displacement of atoms as a result of the collision cascades)
 
and 
that this alloy is resistant to the damage caused by high electronic excitations. 
 
Further 
investigations of the irradiation
-
induced hardening at 
the same i
rradiation dose but different
 
electronic excitation energies would 
be required to confirm this result [11].
 
 
Figure 
117
.
 
Hardness versus indentation depth for PM Ti
6Al
4V irradiated with a 
36
Ar beam at 
a fluence of 1
 
×
 
10
15
 
ions
 
cm
2
 
and
 
T
 
=
 
350
 
°C with the CP
Ti foil (0.76 MeV) and without Ti
-
foil (36 MeV).
 
3
4
5
6
7
8
9
0
500
1000
1500
Hardness (GPa)
Indentation depth (nm)
Sample without foil
Sample with foil
Unirradiated
 
 
142
 
5
.2.1.4. 
Effect of the irradiation dose and temperature on yield 
stre
ss
 
Irradiation of metals at different temperatures 
increases
 
the yield stre
ss
 
y
,
 
especially for 
T
irr
 
< 0.3
T
m
.
 
 
In the case of the materials studied here
,
 
T
m 
is 
approximately 
16
0
0
 
 
[35]
 
which 
results in 
T
irr
 
< 0.3
T
m
 
for irradiation temperatures equal to 
30
 
 
and 350
 
 
As outlined in
 
3
.5
.1. (Eq. 6)
, the radiation
-
induced hardening can be calculated through 
the change in hardness between the irradiated and unirradiated state:
 
 
 
 
 
 
 
 
 
Eq
.
 
15
 
The change in ha
r
dness measured through Vickers inde
n
tation can be linked back to the 
change in nano
 
hardness through the following equation
 
[
138, 
166
 
-
 
167]
:
 
 
 
 
 
 
 
Eq
.
 
16
 
This change in hardness can then be related to the change in yield stre
ss
 
 
using 
[114]
, with 
H
v
 
being the hardness measured through the Vickers 
Hardness testing:
 
 
 
 
 
 
 
 
 
 
Eq
.
 
17
 
The resulting relationship between the change in yield stress and the change nano
-
hardness measured hardness is :
 
 
 
 
 
 
 
 
Eq. 17
 
The change in yield stre
ss
 
y
) was calculated for all irradiated samples. 
Figure 
118
 
y
 
for all samples irradiated with 4 MeV Ar ion beam. 
 
At low tempera
tu
res
y
 
was observed for both CP
-
Ti and PM 
Ti
-
6Al
-
4V with the former being slightly lower. 
 
A
t this low tempera
t
ure, the irradiation 
hardening 
wa
s due to 
the 
nucleation and growth of  and 
c
-
component
 
dislocation loops only 
 
 
143
 
[16
8]
. 
 
y
 
for AM Ti
-
6Al
-
4V suggest
ed 
a lower dislocation density compared to the 
other materials. 
 
At the higher temperature of 350
 
y 
was only calculated for CP
-
Ti and PM Ti
-
6Al
-
4V.
 
 
The significant increase in yield stre
ss
 
for the PM Ti
-
6Al
-
4Vsuggests higher 
dislocation densities or radiation
-
induced precipitation.
 
 
For this 
y
 
as a function of temperature and irradiation dose 
was
 
shown in 
Figure 
119
. 
 
 
Figure 
118
.
 
beams at two different
 
 
 
 
 
Figure 
119
.
 
Change in yield strength calculated for AM or PM Ti
-
6Al
-
4V samples irradiated 
with Ar ion beams as a 
function of dose. 
 
0
10
20
30
40
50
60
70
80
CP-Ti
Ti-6Al-4V (PM)
Ti-6Al-4V (AM)
y 
(MPa)
-
D
Irr
= 5.4 dpa
-
D
Irr
= 10 dpa
-20
-10
0
10
20
30
40
50
60
70
80
0
5
10
y
(GPa)
Irradiation dose (dpa)
 
 
144
 
To better understand the effect of irradiation dose and temperature on the yield stre
ss
, the 
dispersed barrier hardening
 
model
 
was used. 
 
It is well established that irradiation induces 
barriers in the form of defect clusters, which 
impede dislocation motion.  In the case of Ti alloys
, 
 and 
c
-
component
 
loops, as seen in this dissertation and 
[1
2 
-
 
14
,
 
33]
 
and precipitates 
[
17, 
92]
, are considered 
to be
 
dislocation barriers
.
 
5
.2.1.5. 
Correlating microstructure to the hardness: Appli
cation of the DBH model on CP Ti 
 
Based on the DBH model, the change in yield
 
stress
 
is inversely proportional to the 
distance 
l
, defined as the average obstacle spacing along the 
slip plane. 
 
Using
 
Eq 10 
and
 
values 
of the defect number densities and equiv
alent diameter for  and 
c
-
component
 
loops,
 
distance
 
l
 
values were calculated for samples irradiated 
in situ
 
with 1 MeV Kr ions and samples irradiated 
ex situ
 
with 4 MeV Ar ion beams. 
 
The calculated average  loops and 
c
-
component
 
loops spacing along 
the slip plane 
were 
plotted in 
Figure 
120
.  The error bars were calculated according to the propagation law for 
uncertainty [113] using the Eq. 18
:
 
  
 
 
 
 
 
 
 
 
 
 
with: 
 
 
 
 
 
 
 
 
 
Eq
.
 
18
 
 
 
145
 
 
Figure 
120
.
 
Average loops spacing along the slip plane, defined as distance l(nm), calculated for 
CP
-
Ti samples irradiated 
in situ
 
with 1 MeV Kr ions and 4 MeV Ar ions at different 
temperatures.  The irradiation temperature for each sample was indicated in the legend
: a)
 
 
dislocation loops
 
and b) 
c
-
component dislocation loop
s
.
 
 
 
For  loops
 
(see 
Figure 
120
-
a
)
, at the low dose of 0.05 dpa, the average spacing of 
 
ss
. 
 
At 
high doses, the difference between sample
s irradiated at low and high temperature
s
 
was less 
significant.
 
The distance between 
c
-
component
 
loops illustrated in 
Figure 
120
-
b
 
decreased with an 
incr
ease of the dose for all temperatures. 
 
The rate of this decrease was lower as the dose 
increased. 
 
Since the strength of 
c
-
component
 
loops as barriers in the DBH model is very low 
0
50
100
150
200
0.01
0.1
1
10
Average spacing 
l 
(nm)
Dose (dpa)
 loops
0
50
100
150
200
0.1
1
10
Average spacing 
l 
(nm)
c
-
component loops
a
 
b
 
 
 
146
 
compared to the strength of the  loops, 0.0
2
 
and 0.15, respectively, the
ir contribution to the 
hardening will be less significant. 
 
To better understand the contribution of  loops to the hardening, additional data 
points were 
collected
 
from the literature. 
 
The average spacing, 
l,
 
was calculated from the defect 
number densi
ties and loop diameter data provided in 
[33]
 
and 
[14]
. 
 
The average spacing of  
loops in CP
-
Ti irradiated with various particles (1 MeV Kr ion, 4 MeV Ar and 6 MeV Ti from 
[33]
 
) and in high purity
,
 
Ti irradiated with 590 MeV protons from 
[14]
 
is plotted
 
in 
Figure 
121
.
  
The same trend was observed at all temperatures, with an accelerated decrease in the  loop 
spacing at 
a 
low dose to reach a minimum and 
to increase
 
again at 
a 
higher dose. 
 
The effect of 
the temperature was most significant at doses below 1 dpa, with the spacing 
l
 
varying between 
275 nm and 32 nm.
 
 
At doses above 3 dpa, the temperature effect is less 
signifi
c
ant as the 
spacing, 
l
, varied between 127 nm and 80 nm for all temperatures. 
 
At high temperatures, point 
defect recovery due to an enhanced diffusion causes an increased spacing between  loops.
 
 
Figure 
121
.
 
Average spacing
 
for  dislocation loops
 
plotted for Ti samples: Irradiated 
in situ
 
with 1 MeV Kr ion beams (filled diamond symbols);
 
Irradiated 
ex situ 
with 4 MeV Ar ion beams 
(empty diamond symbols); Irradiated 
ex situ
 
with 6 MeV Ti ion beams from 
[33]
 
(empty 
triangles); Irradiated with 590 MeV proton beam from 
[14]
 
(*); The irradiatio
n temperature for 
each set of samples 
were
 
indicated 
i
n the legend.
 
0
50
100
150
200
250
300
0.0001
0.001
0.01
0.1
1
10
Distance 
l 
(nm)
Dose (dpa)
1 MeV Kr 
-
1 MeV Kr 
-
1 MeV Kr 
-
4 MeV Ar 
-
4 MeV Ar 
-
6 MeV Ti 
-
6 MeV Ti  
-
590 MeV protons 
-
590 MeV protons 
-
[33]
 
[33]
 
[14]
 
[14]
 
 
 
147
 
To quantify the contributions of dislocation loops to hardening, two expressions were 
proposed in Eq. 11 (DBH)  and Eq. 12 (modified DBH).  A comparison between the 
experimental results ob
tained from the nano
-
indentation and the contributions to the change in 
yield stress due to the quantified  and c
-
component loops in CP
-
Ti samples irradiated with 
 
4 MeV Ar beams is presented in 
Figure 
122
.  The DBH expression provided the closest results to 
the measured hardness which confirmed that these dislocation loops are strong obstacles to the 
dislocation motion [13].  Additionally, the paramete
to provide consistent results for CP Ti.
 
 
Figure 
122
.
 
Comparison between change in yield stre
ss
 
in CP
 
Ti irradiated with 4 MeV Ar ion 
c
-
component
 
loops calculated using DBH,
 
 
labeled DBH in the legend;
 
Contributions by the  and 
c
-
component
 
loops calculated using 
the modified DBH
,
 
labeled Modified DBH in the leg
end; Values extracted from the nano
-
 
 
Using the data from 
[14]
 
and the current work, the contributions of  and 
c
-
component
 
y 
were calculated for 
CP 
Ti
 
(from current work) and high p
urity Ti
 
[85]
 
irradiated at 
30
 
Figure 
123
. 
 
Since 
c
-
component
 
loops were only 
0
10
20
30
40
50
60
y
(MPa)
DBH
Modified DBH
Experimental
4 dpa 
5.4 dpa 
7.5 
dpa 
10 dpa 
4 dpa 
7.5 dpa 
 
 
148
 
observed after 1.4 dpa, the tota
l contributions of  and 
c
-
component
 
loops cal
cu
lated by 
quadratic sum 
[116]
 
were not significantly different from the contributions of  loops only. 
 
 
Figure 
123
.
 
Contribution of  and 
c
-
component
 
loops to the change in yield stre
ss
 
for 
Ti
 
irradiated at 30
 
. 
 
Full symbols 
a
re results from current work for CP Ti. 
The empty symbols 
were results for high purity Ti
 
from 
[85]
.
  
 
 
Figure 
124
. 
Good agreement
 
between the contribu
tion of both  and 
c
-
component
 
loops to the 
change in yield stre
ss
 
and experimental measurements for Ti irradiated at 30
 
. 
 
Full symbols 
were results from current work for CP Ti.  
The empty symbols 
a
re results for high purity Ti
 
from 
[85]
.
  
 
In 
Figure 
124
, a 
good
 
agreement between experimental measurements of the irradiation 
hardening
 
( here represented by the increase in yield stress)
 
in CP Ti irradiat
ed at low 
0
20
40
60
80
100
0.0001
0.001
0.01
0.1
1
10
y 
(MPa)
Dose (dpa)
Contributions  loop
Contributions  loop
Contributions
c
-
component loops
0
20
40
60
80
100
0.0001
0.001
0.01
0.1
1
10
y(MPa)
Dose (dpa)
Total contributions of 
and  loops
Experimental
c
-
component loops
 
 
149
 
temper
a
ture
s
 
was found. 
 
Additionally, the effect of the alloying at this temperature (between CP 
Ti and high Purity Ti) and the dose rate was not significant. 
 
 
Figure 
125
. 
Contribution of  loops to the change in yield stre
ss
 
for Ti samples and 
experimental measurements for Ti irradiated at higher temperat
ure: Black symbols 
represent 
results of mechanical testing
 
and the colored symbols are the calculated contribution of  
loops to hardening
.
 
 
The 
yellow, orange and red
 
colors
 
are assigned to irradiation temperature
s of
 
250
 
, 300
 
 
and 350
 
 
respectively
.
 
At higher temperatures, the contributions of  dislocation loops to the hardening 
between 250
 
 
and 350
 
 
were
 
plotted in 
Figure 
125
. 
 
At these 
temperatures, both the 
irradiation particle and the dose rate play
ed
 
essential
 
roles in the evolution of  loop 
nucleation
 
and growth
 
and therefore
 
contribute 
to the hardening. 
 
Lower dose rate irradiations, 
represented by 590 MeV proton irradiations 
[85
]
, have resulted in both higher contributions 
to 
hardening from  loops
 
.
  
 
In comparing the contributions of  loops at a dose of 0.6 dpa from 6 MeV Ti 
ions 
[33]
 
and
 
590 MeV proton 
[85]
 
irradiations, the ob
served significant difference was unexpected.  Based on 
results from 
[33]
, the effect of the dose rate at this temperature was negligible in CP
-
Ti.  
0
20
40
60
80
100
120
140
0.001
0.01
0.1
1
10
y
(MPa)
Dose (dpa)
1 MeV Kr 
-
4 MeV Ar 
-
6 MeV Ti 
-
590 MeV protons 
-
4 MeV Ar 
-
590 MeV protons
-
[33]
 
[8
5
]
 
[8
5
]
 
 
 
150
 
However since, the 
material used in the proton irradiation is a high purity Ti, this higher impurity 
conten
t (see 
Table 
20
)
 
may explain the higher hardening at higher irradiation 
temperature
.
 
Table 
20
.
 
Chemical composition of CP Ti in 
[33]
 
and high purity Ti 
[85]
 
Elements
 
Ti
 
Fe
 
C
 
O
 
N
 
Ref
 
CP
-
 
Ti
 
99.801
 
0.02
 
0.006
 
0.17
 
0.003
 
[33]
 
High Purity Ti 
 
99.999
 
-
 
-
 
-
 
-
 
[85]
 
 
5
.2.1.6. 
Effect of the initial microstructure on the irradiation
-
induced hardening
 
One main
 
focus of this study 
is to
 
investigat
e
 
the radiation damage in 
-
Ti grains in 
different mater
ia
ls: 
High purity Ti, CP Ti
, Ti
-
6Al
-
4V
 
PM and AM
. 
 
Their microstructure
, 
as 
shown in sec
tion 
3.1,
 
was very different. 
 
A comparison between the microstru
c
ture of m
aterials 
used in the current work and from literature 
before
 
irradiation is presented in 
Table 
21
.
 
 
Table 
21
.
 
Comparison between the initial microstructure of the different materials
 
Material
 
Grain size
 
-
phase content
 
(%vol)
 
Reference
 
CP Ti
 
20
-
40 µm
 
Average size 30 µm
 
-
 
Current 
work
 
PM rolled Ti
-
6Al
-
4V
 
10
-
40 µm
 
Average size 10.2 µm
 
7
 
Current 
work
 
AM 
Ti
-
6Al
-
4V
 
0.5 
 
2 µm
 
14
 
Current 
work
 
CP Ti
 
60 µm
 
-
 
[15]
 
PM rolled Ti
-
6Al
-
4V
 
10 µm
 
10
 
[15]
 
High p
ur
ity
 
Ti
 
80 µm
 
 
[14]
 
Rolled Ti
-
6Al
-
4V
 
20 µm
 
13
 
[13]
 
CP Ti
 
10
-
30 µm
 
-
 
[150]
 
Rolled Ti
-
6Al
-
4V
 
10
-
30 µm
 
Not included
 
[150]
 
Rolled Ti
-
6Al
-
4V
 
20 µm
 
13
 
[12]
 
 
 
 
 
151
 
There 
wa
s a large spread in the data across different temperatures and irradiation 
particles
,
 
as well as the 
spread of 
microstructure
s
 
between the current study 
and in [
12 
 
15
, 
150
].
 
 
At low temperatures
*
, the radiation hardening was not signific
antly different between 
samples with equiaxed 
-
phase grains at similar 
doses (see 
Figure 
76
 
and 
Figure 
124
).
  
The only 
material with a lamellar 
-
phase grain structure is t
he
 
AM 
Ti
-
6Al
-
4V 
alloy
 
and it exhibited 
lower 
radiation hardening
 
(see
 
Figure 
76
).  
T
-
phase lamellae
 
in the AM 
alloy 
-
phase grains observed in the conventionally rolled PM 
Ti
-
6Al
-
4V.
 
 
A similar enhancement of radiation resistance was observed in forged Ti
-
6Al
-
4V
, 
where s
-
phase grain size led to less 
radiation hardening 
[169]
.  Additionally
, in 
comparison with 
CP Ti and other near 
 
alloys, the 
more 
likely to become 
unstable and form precipitates under irradiation [16] such as V
-
rich precipitates ([1
6, 
1
7, 88, 
92]
) 
 
At high temperatures, the radiation hardening depends strongly on the dose and the 
irra
[85]
 
was higher than in CP Ti 
[33]
 
suggesting that higher impurity content improves the radiation hardening
 
resistance
.  
 
-
6Al
-
4V was higher than 
-
6Al
-
4V between 
doses of 0.6 and 3 dpa 
[33]
.  Th
e
 
comparison between CP Ti and Ti
-
6Al
-
4V P
M
 
suggests that 
the alloying elements in Ti
-
6Al
-
4V 
a
re detrimental to its radiation resistance at high 
temperatures.  It would be interesting to investigate whether the lamellar structure in the AM 
alloy would help counteract this phenomenon.
 
 
*
  
 
 
 
152
 
CHAPTER 
6
 
CONCLUSION
 
 
 
This 
dissertation work
 
investigat
ed
 
the effect of heavy ion radiation damage on the 
microstructure and the nano
-
hardness of 
CP Ti
 
and two Ti
-
6Al
-
4V
 
alloys.
  
To better understand 
the contributions of radiation
-
induced defects to the radiation h
ardening
*
, 
in situ
 
TEM 
irradiations
 
with Kr ion beams 
were performed 
at the IVEM
-
Tandem facility at Argonne 
National Laboratory.
  
Observations of the nucleation and gro
wt
h of  and 
c
-
component
 
loops 
were reported
 
and the dispersed barrier model was used
 
to establish structure
-
mechanics 
relationships.
 
The following detailed conclusions can be drawn from this dissertation:
 
(1)
 
The microstructure of the studied materials was significantly different.  While the CP Ti 
exhibited
 
a
 
fully
 
-
phase
 
(hcp)
 
microstr
uc
tur
e
 
containing
 
equiaxed grains of 30 µm
 
diameter,
 
t
he 
PM rolled 
Ti
-
6Al
-
4V 
exhibited 
-
phase
 
microstr
uc
ture
 
(
with widths between
~10 and 
40 µm) with 
mainly
 
-
phase. 
 
The AM Ti
-
6Al
-
4V  material exhibited 
a lamellar 
, where the
 
-
phase lamellae
 
was
 
between 0.5 µm and 2 µm
,
 
and 
the
ir
 
length varied between 2 and 20 µm.
 
 
 
(2)
 
R
adiation hardening was 
observed in all materials irradiated 
ex situ
 
wit
h Ar ion beams at 
30
 
 
360
 
indentation
 
tests 
performed on the surface of the irradiated samples.
 
(3)
 
Radiation hardening was insensitive to electronic excitation and was caused by the 
ballistic effec
t of ion irradiations.  Hence a strong dose dependence was expected. 
 
 
*
 
Defined as the increase in hardeness as a result of exposure to irradiation.
 
 
 
153
 
(4)
 
The irradiation dose and temperature dependence on hardening were studied for the PM 
Ti
-
6Al
-
4V.  A
n
 
increase in hardening was observed for both temperatures and for doses ranging 
from 0.
1 to 10 dpa.  At low doses, the radiation hardening was higher for the samples irradiated 
observed.
 
(5)
 
The effect of the initial microstructure on the 
resistance to radia
tion
-
induced hardening 
was 
investigated using low
-
temperature irradiation with 
a 
4 MeV Ar ion beam 
in
 
the 
Ti
-
6Al
-
4V 
alloy
s
. 
 
The measured hardness increased by 0.8 GPa for the AM alloy and 2 GPa in the PM 
alloy.  
The resistance to radiation hardening
 
after
 
low
-
temperature irradiation
 
was
, therefore,
 
higher
 
in the AM alloy 
due to the significant grain refinement
.
 
(6)
 
The effect of the alloying on the radiation resistance was investigated in conventionally 
rolled CP Ti and PM Ti
-
6Al
-
 
to a dose of 5.4 dpa, both materials 
exhibited similar hardening of approximately 2 GPa.  However, a more significant increase in 
radiation hardening (~100%) was observed in the Ti
-
6Al
-
4V 
alloy
 
after the same irradiation at 
pa
.
  
Increased radiation
-
induced precipitation in the Ti alloy is
 
likely 
the cause for this difference.
 
(7)
 
.
 
 
At
 
very
 
low 
doses
 
(up to 0.1 dpa)
,
 
 loops
 
appear
ed
 
as black dots
 
in BF TEM microgr
aphs and had a bright 
contrast in DF micrographs. 
 
As the irradiation dose increase
d
, the
se 
loops
 
unfaulted and their 
size
 
in the
 
TEM foils 
increased
 
at all the investigated 
irradiation 
temperatures.  L
oop gro
wt
h 
occu
r
r
ed
 
as a result of loop c
o
alescence or the absorption of smaller 
new 
loops
 
into larger loops.  
Alongside the already
 
formed loops, new small defects were also present.
  
D
islocation networks
 
were only observed
 
in the
 
final damage structure at 430
 
both for 
CP
 
Ti
 
and AM Ti
-
6Al
-
4V.
  
 
 
154
 
At this temperature, loop diameters were larger for the AM Ti
-
6Al
-
4V alloy (12.5 nm) 
than
 
CP 
Ti (8.5 nm).
 
(8)
 
T
he 
present
 
work showed that 
c
-
component
 
loops were only observed after reaching a 
threshold incubation dose (TID).
  
In
 
CP Ti
, 
these loops nucleated at
 
much
 
lower doses
 
than Zr, 
and the TID decreased with increasing temperature: 1.4 dpa, 0.6 dpa and 0.24 dpa for irradiation 
. 
 
T
he Fe
-
rich precipitates observed in the 
current study
 
in 
CP Ti
 
(see 
Figure 
58
) could explain the lower TID values as opposed to th
ose 
for the
 
pure Zr, where no precipitates were 
found
. 
 
The
 
thermal and 
radi
ation
-
induced dissolution 
of precipitates
 
are
 
expected to
 
increas
e
 
the interstitial diffusion of Fe in the
 
Ti
 
matrix
, thereby 
lowering 
the stacking fault energy of 
the Ti 
matrix
 
and
 
promoting
 
the 
c
-
component
 
loop 
nucleat
ion
.
 
 
A lower
 
TID
 
value (
0.22 dpa 
) was observed
 
for AM Ti
-
6Al
-
4V
 
at 360
 
 
compared 
to
 
CP Ti,
 
suggesting that
 
alloying also enhanced c
-
component loop formation
.
 
(9)
 
Loop coalescence was the primary mechanism of c
-
component loop growth in CP Ti.  
The size of the loops and their defect 
to reach a maximum loop size (20 nm) and density at the low dose of 0.55 dpa.  In the AM Ti
-
6Al
-
4V, loops 
were significantly smaller than in CP Ti and were only quantified at the 
irradiation dose of 3.7 dpa.
 
(10)
 
To better understand the effect of irradiation dose and temperature on the 
hardness
, the 
dispersed barrier hardening model was
 
used in 
CP Ti
. 
 
The contrib
utions of dislocation loops to 
the increase in yield stre
ss
 
at 30
 
 
and 360
 
 
w
ere
 
determined
 
using the defect number 
densities and the loop diameters
 
obtained
 
from the TEM 
characterization
. 
 
A good agreement 
between experimental measurements of the harden
ing in irradiated CP Ti and the calculated 
 
 
155
 
cont
r
ibutions from loops was
 
found. 
 
The barrier strength factors of  and c
-
component loops 
were 
validated
 
to be 0.15 and 0.02, respectively confirming that  loops act as strong barriers 
to dislocation motio
n in ion irradiated Ti.
 
(11)
 
A c
omparison of the current results with the literature indicated that at high temperatures, 
the presence of impurities
 
rate play
s
 
an 
essential role in hardening
.  S
ignificantly higher 
contributions from
 
 loops to hardening
 
were 
observed in pure Ti than CP
-
Ti
.
 
 
Further 
investigations at high temperatures are needed to understand this temperature, dose, dose rate, 
and alloying/microstructure dependence of radiation hardening in Ti alloys. 
 
Although this dissertation 
addressed a few
 
of the knowledge gaps identified in Chapter 
2
 
(see 
2
.
4
), others were outside of the scope of this work.  Furthermore, while 
some insights on the 
effect of dislocation loops and initial microstructure on the radiation resistance of Ti
-
alloys
 
were 
offered,
 
other
 
parameters
 
(grain orientation)
 
and mechanisms (dissolution of impurity elements) 
could be further investigated. 
 
(1)
 
Bulk mechanical testing of neutron
-
irradiated Ti
-
alloys would allow for a better 
understanding of the dose/temperature dep
endence in Ti
-
alloys.
 
(2)
 
The dissolution and segregation of impurity/alloying elements in irradiated Ti alloys:
 
To investigate the redistribution of elements like Fe 
[12]
 
and their role in assisting the 
nucleation of
 
c
-
component
 
dislocation loops in 
CP Ti
 
and Ti alloys, chemical analysis using a 
scanning transmission electron microscope (STEM) capable of high
-
resolution EDX spectrum 
imaging
 
is beneficial
. 
 
The redistributi
on of alloying elements was
 
already
 
successfully 
investigated in Zr alloys 
[170
, 
171]
 
using 
an 
aberration
-
corrected (scanning) transmission 
electron microscope 
equipped with four EDX detectors.
  
Atom Probe Tomography can also be 
used for this purpose. 
 
 
 
156
 
(3)
 
Ori
entation dependence 
 
There is growing interest in the scientific community in investigating the effect of grain 
orientation on the radiation resistance of materials used in nuclear reactors.  Some studies were 
already performed on tungsten 
[172]
 
and beryll
ium 
[173]
.  In Ti, there is already an 
acknowledged orientation dependence of hardness in the unirradiated material 
[174]
.  Basal/ near 
basal orientation exhibit higher nanohardness in CP Ti 
[174]
.  As the diffusion in Ti is 
anisotropic as suggested by the
 
DAD model, it would be interesting to investigate how it would 
affect irradiated Ti.  
 
Combining EBSD characterization and nano
-
indentation testing would provide 
meaningful insights into the effect of grain orientation on the irradiation exposure.   
 
 
 
 
 
 
 
157
 
 
 
 
 
 
 
 
 
 
 
 
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158
 
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