MSU Ingot Niobium Investigations · hardening behavior of the 9 specimens Specimen Difference...
Transcript of MSU Ingot Niobium Investigations · hardening behavior of the 9 specimens Specimen Difference...
MSU Ingot Niobium Investigations
Thomas R. Bieler
D. Kang, D. Baars, S. Chandrasekaran, A. Mapar
G. Ciovati, N.T. Wright, F. Pourboghrat, C. Compton,
J. Murphy, G.R. Myneni
Michigan State University
University of Nevada Reno
Thomas Jefferson National Accelerator Facility
Work funded by DOE/OBES
Overview
• Ingot characterization
• Characterization of a formed half cell from ingot slice
– Internal defect quantification, i.e. dislocations
– Lattice curvature necessarily correlated with dislocations
• Characterization of a large grain tube
– Fabricated from welded polycrystal tube
• Deformation of single crystals
• Crystal plasticity modeling
• Thermal conductivity in single and bi-crystal samples
– Effects of deformation and heat treatment
– Hydrogen
• Summary
BCC dislocations can move in 4 directions
on as many as 48 slip systems*
• Dislocations enable large plastic strains by facilitating shear
on slip systems – there are 48 ways to do this, but most think
that 24 of them are responsible for most of the deformation
[-1 1 1] (1 1 0)[-1 1 1] (1 0 1)[-1 1 1] (0 -1 1)[-1 1 1] (1 -1 2)[-1 1 1] (-1 -2 1)[-1 1 1] (2 1 1)
[-1 1 1] (1 -2 3)[-1 1 1] (2 -1 3)[-1 1 1] (-2 -3 1)[-1 1 1] (-1 -3 2)[-1 1 1] (3 1 2)[-1 1 1] (3 2 1)
4 groups, 12 associated with each <111> direction (connects opposites corners)
One group illustrated here
* FCC: 6 directions in 12 systems
Ingot slice features, dislocation substructure
• Ingots show huge or variable grain size,
• dislocation entanglements in as-received ingot (ECCI image)
• and substantial orientation gradients (less than about 10),
Scan
area of
2-4 mm2
Laue camera used to measure
orientations of several ingots
CBMM Ningxia Heraeus
From measured
orientations, maps are
drawn using orientation
imaging software
• Crystal orientations measured
with a Laue camera
• Indexed using semi-automatic
software
Vertical lines are scars from end milling
~30
cm
~35 cm
Characterization of several ingots show no
trends in crystal orientation or grain shapes
CBMM Ningxia Heraeus
...
{110}
{112}
both
Bi-axial stress Schmid
factor maps for different
slip systems some
ingot slices deform more
uniformly than others
• 5 different ingots from different manufacturers have no common
orientation trends
crystallization during
e-beam refining is a random process
.
..
CBMM
Single/multi crystal cavities fabricated by welding
two half cells – grain boundaries are visible
• Single cell multicrystal cavities made at MSU and J-Lab show effects of grain boundaries, irregular deformation
• MSU single cell cavity grain boundary ridge visible and easily felt with fingers, and cups have ‘ears’
Material in Equator / Weld Experiences
1. Hoop Compression, radial tension
2. Bending + unbending
3. Biaxial stretching (not balanced)
Undeformed single crystals can be welded
together gracefully (sometimes)
• Center piece of sliced ingot
cut in two, flipped, welded,
• the weld was clean between
two crystal orientations, but
new orientations developed
at triple junctions
Weld Direction
AB
B’A’
B
B’
B
B’
A
B’
Weld Direction
Recrystallization features on either
side of equator weld in deformed
heat affected zone of a finished
large-grain cavity
1mm
Recrystallization in HAZ Weld
Baars et al. Transactions Applied Superconductivity 17, June 2007
Not surprisingly, welding deformed single
crystals leads to recrystallization
• Two tensile deformed single crystals were welded together
• Parent orientations in grips have white prism orientation
• Black prisms show crystal orientations after weld
Weld Side F ~(111)[1-10] Side C ~(101)[10-1]
400m
3.1mm 2mm 8.1mm3mmWELD
Some commentary on substructural state
Near
shoulder,
cold end,
some
shear
bands are
evident
Near
shoulder,
cold end,
some
shear
bands are
evident
Recrystallization
front; very blue
grains have few
dislocations
within, but along
grain boundaries,
there is higher
dislocation density
Substantial
dislocation
substructure
present in
recovered grain at
recrystallization
front
Metallurgical characterization of large grain
single cell fabrication study at J-Lab
• Slices H1, H2, H3, H4 examined, with different heat
treatment and etching histories, before / after joining
together, etc.
• Instead of machining off excess, rings were EDM cut at iris
and equator, to provide material that could be examined
microstructurally.
• These pieces were characterized with OIM to identify local
orientation gradients.
• Thickness was measured in various locations to identify
effects of crystal orientation and grain boundaries.
• Cavity performance was assessed – mediocre until barrel
polishing was done ~ 150-200 microns removed, then it
performed well.
2.2
2.4
2.6
2.8
3
3.2
3.4
3.6
0 1 2 3 4 5 6 7 8 9 10 11 12
Th
ickn
ess
, m
m
Radial A Radial B Radial C
Radial D Radial E Radial F
-- Iris --- Position --------- Equator --
2.2
2.4
2.6
2.8
3
3.2
3.4
3.6
0 1 2 3 4 5 6 7 8 9 10 11 12
Th
ickn
ess
, m
m
Radial A Radial B Radial C
Radial D Radial E Radial F
-- Iris --- Position --------- Equator --
Forming a half cells leads to irregular ears in edge –
influenced by grain boundaries, thickness issues
No obvious trends between crystal orientation and thickness
H1 was significantly thicker, had a thick spot at GB that grabbed die Biggest Ear
Sharp Ear
B
A
C
D
E
F
Sharper
Ear
• Note surface damage extending into surface by ~100 µm
• Slow heating prevents recrystallization, leaves geometrically
necessary dislocations in place
• Local Average Orientation identifies regions with more/less defects
Grain Orientation Local Orientation Gradient
Unlike a weld, a large grain piece from equator/iris region before
and after heat treatment shows no recrystallization after 800C
furnace anneal (or a 1000C anneal either)
Local Average Misorientation (orientation gradient),
measures geometrically necessary dislocation
density
4mm
+ 800
anneal
As-
deformed
GB Equator GB
GB Iris GB
+ 800
anneal
As-
deformed
Grain Orientation Local Orientation Gradient
Quantification of LAM measurements
Results after heat treatment are ~ same
Average of
6 depth
traces in iris
and equator
rings in 6
different
locations
indicates
effects of
surface-die
interactions,
i.e. the
damage
layer is
quantified,
60-200 µm
deep
Hot spot correlated with thick GB spot on
thick half cell side (no issue on other side!)
After H1-H2 cavity
was fabricated,
etched, the
performance was
not so good.
1400ºC anneal did
not help.
Optical inspection
of hot spot location
was at location
where etch pits at
grain boundary
were located.
Barrel polishing 100
µm led to excellent
performance.
After
1400ºC
anneal
The possibility of hydroforming a large grain
tube was explored
• Large grain tube made from welded polycrystalline tube after
heat treatment made by Jim Murphy at U. Nevada Reno
• Grain were grown to very large size,
but not a single crystal
– See unwrapped grain map
• Center region has only one grain
orientation
• Tube was slightly warped, difficult to
achieve seal for pressurizing
• Deformed heterogeneously, cracked
within the large center crystal
• Still under analysis, will be simulated
using crystal plasticity model
Single Crystals taken from (Ningxia) ingot,
have highly varying mechanical propertiesCrystal
orientations
chosen
strategically
to favor {110}
vs. {112} slip,
single vs.
duplex slip.
Results
support
preference
for {112} slip;
two lower
stressed
{112} is more
favorable
than favored
{110}
{112} slip almost accounts for all the initial
hardening behavior of the 9 specimens
Specimen
Difference between highest
resolved shear stress on
primary and secondary {112}
slip systems (MPa), and ratio
of resolved shear on two
highest {112} systems
Initial
hardening
rate
X3 4 1.316 Barely
Q2 4 1.263 Barely
S3 3.5 1.237 Barely
R2 3.5 1.200 Slight
W3 1.4 1.091Moderate-
Low
T3 1.3 1.073 High
U3 0.6 1.027 Very High
V3 0.4 1.022Moderate-
High
P3 0.1 1.042 HighBaars, Investigation of active slip systems in high
purity single crystal niobium, PhD dissertation
Annealing the samples leads to significant decrease in
strength, and more regular deformation characteristics
As extracted from ingot Deformed in-situ after 800C 2hr anneal
Tensile axis orientationsWhite {110} Gray {112}Schmid Factor Contours 0.5, 0.499, 0.49, 0.47, 0.44, 0.40, 0.36, 0.32
P
U
V
W
XS
T
R
Q P
U
V W XS T
RQ
(a) (b)
• As-extracted curves show some softening in softer orientations
with single slip conditions, suggesting unlocking of dislocation
tangles.
• After annealing all curves show lower yield stress and always
positive work hardening, and indicating fewer defects present
Effect of heat treatment favors operation of
{110} slip system (crystal rotations)
• Slip trace features
suggest bursts of
dislocations occurring
at the micron scale
• Rotations that
develop during
deformation will
evolve in complex
ways as dislocations
accumulate
• From analysis of crystal rotations during the tension test, slip on
{110} planes dominates, rather that {112} slip in as-received
• This information about conditions that affect slip
system activity is needed for codes than can predict
heterogeneous strain in large grain forming
Crystal plasticity models are able to capture
overall trends, imperfectly…
• Different crystal plasticity modeling approaches that monitor
relative amounts of slip in different slip directions do a better
job than classical hardening models to predict flow behavior
– calibration based upon two samples has some capability
to predict deformation in other orientations
0
10
20
30
40
50
60
70
80
90
0 10 20 30 40
Eng.
Str
ess
, MP
a
Eng. Strain, %
P - Experiment P - Classical P - DynamicT - Experiment T - Classical T - DynamicU - Experiment U - Classical U - DynamicW - Experiment W - Classical W - Dynamic
0
10
20
30
40
50
60
70
80
90
0 10 20 30 40
Eng.
Str
ess
, MP
a
Eng. Strain, %
P - Experiment P - Diff-ExponentialR - Experiment R - Diff-ExponentialU - Experiment U - Diff-ExponentialW - Experiment W - Diff-Exponential
High thermal conductivity minimizes
degrading effect of ‘hot spots’
• Phonon peak appears and disappears
but dislocation content is a key factor
for thermal conductivity…
• How does dislocation substructure
affect RRR?
Different
phenomena
above and
below ~ 3K
Dislocation substructure
& thermal properties
• Prior work (Cotts, Northrup, Anderson 1981-83) examined phonon transport
(dissipation) in LiF crystals with known dislocation substructures
– When phonon transport direction was parallel to a mobile dislocation
segment, phonon was dissipated (phonon converted to random vibration)
• Phonons travel according to (anisotropic) elastic properties
– Grain boundaries also dissipate phonons
• Is the low T phonon-peak killed when there are mobile dislocations that can
couple with phonon and disperse its energy?
If so, then dislocation substructure
may need to be managed with
respect to crystal orientation to
maximize phonon transport
So, Recovery or Recrystallization?
Subgrain Bdy
Dislocation walls
in Fe
Subgrain
Boundaries
in Fe
Hull & Bacon Introduction to Dislocations, 1984
High thermal conductivity minimizes
degrading effect of ‘hot spots’
• Phonon peak appears and disappears
but dislocation content is a key factor
for thermal conductivity…
• How does dislocation substructure
affect RRR?
Different
phenomena
above and
below ~ 3K
Dislocations clearly kill the phonon peak
• Carefully analyzed thermal conductivity shows that the phonon
peak component (kpp2) plateaus at about 1000ºC. The
decrease in kpp2 is greatest in orientations where multiple slip
occurs nearer edge of triangle, which causes greater increases
in dislocation content.
Introduction of Hydrogen also affects
phonon peak, sometimes not reversible
Phonon peak was restored Phonon peak not restored
on side 2
q q
Observations and Speculations
• From making an ingot to final function, dislocations are an
omnipresent enabler and suspect,
– Additional suspects: H, O, impurities, interfaces, magnetic
fields, surface energy
– Dislocations can be removed most effectively by
recrystallization;
– Recovery leaves substructure that is oriented in
crystallographic directions
• Is the perfect cavity a recrystallized single crystal with
dislocation segments not lined up in a radial direction?