Index
403
statistical convergence
morphological distributions, 68
spatial distributions, 68, 69
Multiscale materials modeling, 251
Multiscale modeling
CG-MD, 271, 272
cross-linked network, 268
curing process of epoxies, 273–276
epoxy
composites, 268
density, 276–277
modeling, 269
resins, 267
failure properties, 282–284
glass transition temperature, 277–279
molecular dynamics simulation, 269–270
volume shrinkage, 276–277
N
Nearest-neighbor distance (NND), 351, 352,
354
Ni-based superalloys
crystal plasticity, 56, 57, 70–71
FCC, 56
mechanical behavior of IN718, 128
M-SERVE (see M-SERVE)
phenomenological crystal plasticity
models, 57
polycrystalline microstructures, 57
P-SERVE (see Property-based statistically
equivalent RVE (P-SERVE))
SERVE, 58
shape and size, 56
subgrain-scale analysis, 74
Nonhomogeneous microstructures
clustered regions, 312–313
2-point correlation, 309–312
radial distribution functions, 309–312
Non-Schmid effect, 13, 71, 85, 201, 209,
211–213
n-point statistics, 252, 255, 262, 299, 303, 375
Nucleation, 94, 96, 117, 137, 156, 200, 388
O
Open source software, 25, 29
P
Polycrystalline homogenization framework
boundary
conditions, 139–140
value problem, 139–140
microstructure representation, 141–143
single crystal behavior, 143–144
Polycrystalline microstructures
annealing twins, 76
data collection
interaction volume, 227–228
model, 229–230
random noise, 228, 229
resolution, 227
dictionary-based indexing, 224
EBSD, 75–76
FFT methods, 139
methodology, 230
M-SERVEs, 82–83
Ni-based superalloys, 56
P-SERVE (see Property-based statistically
equivalent RVE (P-SERVE))
René 88DT, 224
SEM, 223
SEVM (see Statistically equivalent virtual
microstructures (SEVMs))
statistical correlations, 76
synthetic material generation–phantoms,
226
Polymer matrix composites (PMC), 272, 284,
287
characterization, 317–318
experimental micrographs, 319–320
mechanical testing, 317–318
micromechanical analysis, 321–322
microstructure imaging, 317–318
SERVE
selection, 322–323
and SVE stiffness, 323
statistical characterization, 318, 319
Porosity, 199, 200, 201, 203, 205, 208, 209,
219, 383
Powders
density, 368
dynamic behavior (see Reactive materials)
intermetallic-forming Ti+B, 377
metallurgy processing, 2
microstructure, 368
stock filtering, 1
theoretical equations, 382
Property-based statistically equivalent RVE
(P-SERVE)
convergence studies
cross-slip resistance, 85
crystal plasticity model, 85–87
time evolution, 84
CPFE simulations, 71
crystal plasticity models, 70–71
local response field variables, 73–74
spatially averaged mechanical fields, 72–73
403
statistical convergence
morphological distributions, 68
spatial distributions, 68, 69
Multiscale materials modeling, 251
Multiscale modeling
CG-MD, 271, 272
cross-linked network, 268
curing process of epoxies, 273–276
epoxy
composites, 268
density, 276–277
modeling, 269
resins, 267
failure properties, 282–284
glass transition temperature, 277–279
molecular dynamics simulation, 269–270
volume shrinkage, 276–277
N
Nearest-neighbor distance (NND), 351, 352,
354
Ni-based superalloys
crystal plasticity, 56, 57, 70–71
FCC, 56
mechanical behavior of IN718, 128
M-SERVE (see M-SERVE)
phenomenological crystal plasticity
models, 57
polycrystalline microstructures, 57
P-SERVE (see Property-based statistically
equivalent RVE (P-SERVE))
SERVE, 58
shape and size, 56
subgrain-scale analysis, 74
Nonhomogeneous microstructures
clustered regions, 312–313
2-point correlation, 309–312
radial distribution functions, 309–312
Non-Schmid effect, 13, 71, 85, 201, 209,
211–213
n-point statistics, 252, 255, 262, 299, 303, 375
Nucleation, 94, 96, 117, 137, 156, 200, 388
O
Open source software, 25, 29
P
Polycrystalline homogenization framework
boundary
conditions, 139–140
value problem, 139–140
microstructure representation, 141–143
single crystal behavior, 143–144
Polycrystalline microstructures
annealing twins, 76
data collection
interaction volume, 227–228
model, 229–230
random noise, 228, 229
resolution, 227
dictionary-based indexing, 224
EBSD, 75–76
FFT methods, 139
methodology, 230
M-SERVEs, 82–83
Ni-based superalloys, 56
P-SERVE (see Property-based statistically
equivalent RVE (P-SERVE))
René 88DT, 224
SEM, 223
SEVM (see Statistically equivalent virtual
microstructures (SEVMs))
statistical correlations, 76
synthetic material generation–phantoms,
226
Polymer matrix composites (PMC), 272, 284,
287
characterization, 317–318
experimental micrographs, 319–320
mechanical testing, 317–318
micromechanical analysis, 321–322
microstructure imaging, 317–318
SERVE
selection, 322–323
and SVE stiffness, 323
statistical characterization, 318, 319
Porosity, 199, 200, 201, 203, 205, 208, 209,
219, 383
Powders
density, 368
dynamic behavior (see Reactive materials)
intermetallic-forming Ti+B, 377
metallurgy processing, 2
microstructure, 368
stock filtering, 1
theoretical equations, 382
Property-based statistically equivalent RVE
(P-SERVE)
convergence studies
cross-slip resistance, 85
crystal plasticity model, 85–87
time evolution, 84
CPFE simulations, 71
crystal plasticity models, 70–71
local response field variables, 73–74
spatially averaged mechanical fields, 72–73