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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