404
Index
R
Reactive materials
impact-induced, 385–389
shock-induced, 389–392
Reconstruction
data collection, 3
deformed metallic samples, 4
fiber placement, 332
microstructure, 60
Monte Carlo-type, 319
phantom microstructure, 231
physical sample, 224
targeted TriBeam dataset, 12
3D data, 8
René 88DT, 109–115
DualBeam FIB-SEM, 7
electron microscope, 59
Ni-based superalloy, 58
sample size effects, 109–115
SEM images, 108
speckle pattern, 96
supersolvus nickel superalloys, 2
TriBeam microscope, 7
Representative volume element (RVEs)
determination, 91
M-SERVE, 58
numerical simulations, 128, 297
polycrystalline
aggregates, 57
microstructure, 142
P-SERVE (see Property-based statistically
equivalent RVE (P-SERVE))
resource limitations, 224
Resolution
analytical model, 234–237
CMOS-based EBSD cameras, 6
data collection simulation, 227, 243
high-resolution strain imaging, 23
MMV, 232, 233
normalization, 233
sources of error, 225
spatial, 171
synchrotron DCT, 4
TriBeam and FIB, 7
S
Sensitivity analysis
displacement jumps, 345–346
formulation, 338–341
results, 343–345
verification, 341–343
Serial sectioning
approaches, 3
experimental technique, 93
image slices, 60
microstructural representations, 376
SEM-based, 104
3D SEM-FIB, 61
TriBeam and FIB, 7
vacuum cycling, 4
Shock loading
elastic–plastic response, 199
experimental overview, 201–203
material microstructure, 200
nomenclature, 201
void nucleation model, 200
Shear-lag theory, 360
Shock compression science
conservation relations
infinitesimal volume, 379
momentum, 380–382
theoretical equations, 382
and theory, 378, 379
Shock-induced reaction, 371, 389–391
Simulated experiments
calibration
global, 188–190
global-local, 190–191
local, 191–193
calibration demonstrations, 187
DREAM.3D, 185
heterogeneous stress, 186
microstructure model, 185
oligocrystal alloy, 186
strain map, 187
stress-strain curve, 188
Size effects, 91, 92, 109–115, 133, 137, 147,
156, 158, 273, 369
Statistically equivalent representative volume
elements (SERVEs)
ATDBC and UTBC, 300
characteristics, 299
composite microstructures, 298
interface strength distribution, 363–365
micromechanics, 299–300
MVE, 301
RVE, 297
statistics-based boundary conditions
exterior domain, 302–303
matrix-rich regions, 301
micromechanical analyses, 302
perturbed fields, 304–306
plethora, 303
Statistically equivalent virtual microstructures
(SEVMs)
convergence tests, 66–67
DREAM.3D software, 76
Index
R
Reactive materials
impact-induced, 385–389
shock-induced, 389–392
Reconstruction
data collection, 3
deformed metallic samples, 4
fiber placement, 332
microstructure, 60
Monte Carlo-type, 319
phantom microstructure, 231
physical sample, 224
targeted TriBeam dataset, 12
3D data, 8
René 88DT, 109–115
DualBeam FIB-SEM, 7
electron microscope, 59
Ni-based superalloy, 58
sample size effects, 109–115
SEM images, 108
speckle pattern, 96
supersolvus nickel superalloys, 2
TriBeam microscope, 7
Representative volume element (RVEs)
determination, 91
M-SERVE, 58
numerical simulations, 128, 297
polycrystalline
aggregates, 57
microstructure, 142
P-SERVE (see Property-based statistically
equivalent RVE (P-SERVE))
resource limitations, 224
Resolution
analytical model, 234–237
CMOS-based EBSD cameras, 6
data collection simulation, 227, 243
high-resolution strain imaging, 23
MMV, 232, 233
normalization, 233
sources of error, 225
spatial, 171
synchrotron DCT, 4
TriBeam and FIB, 7
S
Sensitivity analysis
displacement jumps, 345–346
formulation, 338–341
results, 343–345
verification, 341–343
Serial sectioning
approaches, 3
experimental technique, 93
image slices, 60
microstructural representations, 376
SEM-based, 104
3D SEM-FIB, 61
TriBeam and FIB, 7
vacuum cycling, 4
Shock loading
elastic–plastic response, 199
experimental overview, 201–203
material microstructure, 200
nomenclature, 201
void nucleation model, 200
Shear-lag theory, 360
Shock compression science
conservation relations
infinitesimal volume, 379
momentum, 380–382
theoretical equations, 382
and theory, 378, 379
Shock-induced reaction, 371, 389–391
Simulated experiments
calibration
global, 188–190
global-local, 190–191
local, 191–193
calibration demonstrations, 187
DREAM.3D, 185
heterogeneous stress, 186
microstructure model, 185
oligocrystal alloy, 186
strain map, 187
stress-strain curve, 188
Size effects, 91, 92, 109–115, 133, 137, 147,
156, 158, 273, 369
Statistically equivalent representative volume
elements (SERVEs)
ATDBC and UTBC, 300
characteristics, 299
composite microstructures, 298
interface strength distribution, 363–365
micromechanics, 299–300
MVE, 301
RVE, 297
statistics-based boundary conditions
exterior domain, 302–303
matrix-rich regions, 301
micromechanical analyses, 302
perturbed fields, 304–306
plethora, 303
Statistically equivalent virtual microstructures
(SEVMs)
convergence tests, 66–67
DREAM.3D software, 76