Intermolecular resistance (cont.)
temperature, 361
temperature and rate dependent parameter,
365
tensorial variables, 362
viscoplastic models, 366, 367
viscous flow, 363
WLF parameters, 364, 365
yield behavior, 363
Intermolecular structure, 360, 362, 376
Internal (strain) energy, 78
Internal energy, 352
Internal friction, 160
Inter-particle interaction effects, 283
Interphase bond modulus, 313
Intrinsic and thermal dissipation, 108
Intrinsic dissipation, 390
Invariants, 25
Irreversible dissipation, 421
Irreversible entropy, 359
Irreversible entropy generation mechanisms,
325
Irreversible process, 90–91
Irreversible thermodynamics, 216, 224
Irrotational plastic flow, 355
ISO-TEST simulations, 389
Isothermal stretching
PMMA, 384–390
Isotropic hardening function, 284
Isotropic hardening modulus, 326
Isotropy, 2
J
Jacobian coupling, 213
Joule heating, 395, 415
Ju and Chen model, 278
K
Kelvin-Planck’s statement, 80
Kinematic hardening behavior, 322
Kinematic hardening function, 209
Kinematic hardening modulus, 258, 324
Kinematic of continuous medium
continuum, 41
Eulerian description, 42
Lagrangian description, 42
material description, 42
referential coordinate system, 42
Kinetic energies exchange, continuous manner
additive constant, 156, 157
continuum, 154
external forces, 161–163, 165
integral, 154
internal friction, 160
molecules, 152, 155, 156
omitting, 156
polyatomic gas molecules, 161–163, 165
power-exponent free product (see Powerexponent free product)
probability distribution (see Probability
distribution)
state distribution, 153, 157, 159, 160
thermal equilibrium, 153, 155, 157
velocity components, 155, 158–160
Kinetic energy, 78, 79
colliding molecules, 140
complexions, 140, 142, 151
Descartes’ theorem, 146
exchange (see Kinetic energies exchange,
continuous manner)
exchange of energy, 139
gamma function integral, 144
molecules, 140, 141, 143, 147–149
Newton iteration method, 149
number of permutations, 151
polynomial equation, 147
state distribution, 140–143, 152
velocities, 139
Kirchoff-Clausius law, 186
Kronecker’s delta, 409
L
Lagrangian description, 42, 44
Lagrangian formulation, 46, 49
Lagrangian mechanics, 115
Lagrangian strain tensor, 52, 54
Lagrangian stress tensor, 60, 61
Law of inertia, 6, 7
Laws of conservation
mass/vacancy, 407–411
temperature gradient, 406
vacancy diffusion mechanism, 406
Laws of thermodynamics, 3
energy, 135
first law, 75–80
forces, 132
Newtonian mechanics, 115
Pseudo-thermodynamics forces, 120
second law (see Second law of
thermodynamics)
thermo-elastic laws, 105
third law, 84
TSI, 191, 193
434
Index
temperature, 361
temperature and rate dependent parameter,
365
tensorial variables, 362
viscoplastic models, 366, 367
viscous flow, 363
WLF parameters, 364, 365
yield behavior, 363
Intermolecular structure, 360, 362, 376
Internal (strain) energy, 78
Internal energy, 352
Internal friction, 160
Inter-particle interaction effects, 283
Interphase bond modulus, 313
Intrinsic and thermal dissipation, 108
Intrinsic dissipation, 390
Invariants, 25
Irreversible dissipation, 421
Irreversible entropy, 359
Irreversible entropy generation mechanisms,
325
Irreversible process, 90–91
Irreversible thermodynamics, 216, 224
Irrotational plastic flow, 355
ISO-TEST simulations, 389
Isothermal stretching
PMMA, 384–390
Isotropic hardening function, 284
Isotropic hardening modulus, 326
Isotropy, 2
J
Jacobian coupling, 213
Joule heating, 395, 415
Ju and Chen model, 278
K
Kelvin-Planck’s statement, 80
Kinematic hardening behavior, 322
Kinematic hardening function, 209
Kinematic hardening modulus, 258, 324
Kinematic of continuous medium
continuum, 41
Eulerian description, 42
Lagrangian description, 42
material description, 42
referential coordinate system, 42
Kinetic energies exchange, continuous manner
additive constant, 156, 157
continuum, 154
external forces, 161–163, 165
integral, 154
internal friction, 160
molecules, 152, 155, 156
omitting, 156
polyatomic gas molecules, 161–163, 165
power-exponent free product (see Powerexponent free product)
probability distribution (see Probability
distribution)
state distribution, 153, 157, 159, 160
thermal equilibrium, 153, 155, 157
velocity components, 155, 158–160
Kinetic energy, 78, 79
colliding molecules, 140
complexions, 140, 142, 151
Descartes’ theorem, 146
exchange (see Kinetic energies exchange,
continuous manner)
exchange of energy, 139
gamma function integral, 144
molecules, 140, 141, 143, 147–149
Newton iteration method, 149
number of permutations, 151
polynomial equation, 147
state distribution, 140–143, 152
velocities, 139
Kirchoff-Clausius law, 186
Kronecker’s delta, 409
L
Lagrangian description, 42, 44
Lagrangian formulation, 46, 49
Lagrangian mechanics, 115
Lagrangian strain tensor, 52, 54
Lagrangian stress tensor, 60, 61
Law of inertia, 6, 7
Laws of conservation
mass/vacancy, 407–411
temperature gradient, 406
vacancy diffusion mechanism, 406
Laws of thermodynamics, 3
energy, 135
first law, 75–80
forces, 132
Newtonian mechanics, 115
Pseudo-thermodynamics forces, 120
second law (see Second law of
thermodynamics)
thermo-elastic laws, 105
third law, 84
TSI, 191, 193
434
Index