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| Smith R. — Smart material systems: model development |
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| Предметный указатель |
Ginzburg — Landau relations, ferroelectric 133
Grains, definition 52 419
Grains, ferroelectric 50 53
Hamiltonian mechanics 311 445—446
Hamilton’s equations 445
Hamilton’s principle 312—314 440
Heat capacity, shape memory alloys 256
Helmholtz energy, ferroelectric, behavior illustrated 71 73 76 112
Helmholtz energy, ferroelectric, Boltzmann 76 100 144
Helmholtz energy, ferroelectric, electromechanical 77 79 126 144
Helmholtz energy, ferroelectric, fourth-order 70
Helmholtz energy, ferroelectric, piecewise quadratic 79 100
Helmholtz energy, ferroelectric, quadratic 62
Helmholtz energy, ferroelectric, sixth-order 72
Helmholtz energy, ferroic, fourth-order 282
Helmholtz energy, ferroic, piecewise quadratic 289
Helmholtz energy, ferroic, sixth-order 282
Helmholtz energy, magnetic, behavior illustrated 186—189
Helmholtz energy, magnetic, Boltzmann 186 216
Helmholtz energy, magnetic, fourth-order 187
Helmholtz energy, magnetic, magnetomechanical 227
Helmholtz energy, magnetic, piecewise quadratic 188 216
Helmholtz energy, magnetic, quadratic 182
Helmholtz energy, micropolar region 147
Helmholtz energy, relaxor ferroelectric 144
Helmholtz energy, relaxor ferroelectric, global 149
Helmholtz energy, shape memory alloys, behavior illustrated 255—257
Helmholtz energy, shape memory alloys, high-order 255
Helmholtz energy, shape memory alloys, piecewise quadratic 256 264
Helmholtz energy, shape memory alloys, sixth-order 254
Hilbert space 420
Hilbert — Schmidt operator 433
Homogenized energy framework, comparison to other theories, Jiles — Atherton 235
Homogenized energy framework, comparison to other theories, Preisach 236—240
Homogenized energy framework, comparison to other theories, Stoner — Wohlfarth 235
Homogenized energy framework, ferroelectric 98—132
Homogenized energy framework, ferroelectric, implementation 116
Homogenized energy framework, ferroelectric, inverse model 123
Homogenized energy framework, ferroelectric, limiting behavior 109
Homogenized energy framework, ferroelectric, local polarization 101 104
Homogenized energy framework, ferroelectric, macroscopic model 111
Homogenized energy framework, ferroelectric, model construction 131
Homogenized energy framework, ferroelectric, parameter estimation 118
Homogenized energy framework, ferroelectric, PZT5H characterization 127
Homogenized energy framework, ferroelectric, thermal activation 102
Homogenized energy framework, ferroelectric, thermal evolution 126
Homogenized energy framework, ferroic 288—294
Homogenized energy framework, ferroic, local models 290—292
Homogenized energy framework, ferroic, macroscopic models 293
Homogenized energy framework, ferroic, thermal evolution 292
Homogenized energy framework, magnetic 215—240
Homogenized energy framework, magnetic, after-effects, accommodation 233
Homogenized energy framework, magnetic, anhysteretic model 223
Homogenized energy framework, magnetic, implementation 225
Homogenized energy framework, magnetic, inverse model 226
Homogenized energy framework, magnetic, local anhysteretic 219
Homogenized energy framework, magnetic, local magnetization 216
Homogenized energy framework, magnetic, macroscopic model 221
Homogenized energy framework, magnetic, noncongruency 232
Homogenized energy framework, magnetic, physical parameters 231
Homogenized energy framework, magnetic, reversibility 232
Homogenized energy framework, magnetic, steel characterization 228
Homogenized energy framework, magnetic, temperature-dependency 235
Homogenized energy framework, magnetic, Terfenol-D characterization 229
Homogenized energy framework, magnetic, thermal activation 216
Homogenized energy framework, magnetic, thermal evolution 226
Homogenized energy framework, relaxor ferroelectric 154
Homogenized energy framework, shape memory alloys 263—274
Homogenized energy framework, shape memory alloys, local strains 265 268
Homogenized energy framework, shape memory alloys, macroscopic strains 270
Homogenized energy framework, shape memory alloys, model properties 270—273
Homogenized energy framework, shape memory alloys, NiTi film characterization 274
Homogenized energy framework, shape memory alloys, NiTiFe foil characterization 273
Homogenized energy framework, shape memory alloys, thermal activation 267
Homogenized energy framework, shape memory alloys, thermal evolution 268
Hybrid transducers 20
Hysteresis models, ferroelectric, domain wall 93
Hysteresis models, ferroelectric, homogenized energy 113
Hysteresis models, ferroelectric, Preisach 82
Hysteresis models, ferroic, domain wall 287
Hysteresis models, ferroic, homogenized energy 293
Hysteresis models, ferroic, Preisach 285
Hysteresis models, magnetic, domain wall 211
Hysteresis models, magnetic, homogenized energy 221
Hysteresis models, magnetic, Preisach 191
Hysteresis models, relaxor ferroelectric, domain wail 152
Hysteresis models, relaxor ferroelectric, homogenized energy 154
Hysteresis models, shape memory alloys, domain wall 261
Hysteresis models, shape memory alloys, homogenized energy 270
Hysteresis models, shape memory alloys, Preisach 258
Hysteresis, definition 420
Hysteresis, ferroelectric 50
Hysteresis, ferroelectric, energy dissipation 135 281
Hysteresis, magnetic 167
Hysteresis, magnetic, energy dissipation 169 281
Hysteresis, reduction through design 54
Hysteresis, shape memory alloys 246—252
Hysteresis, shape memory alloys, energy dissipation 253 281
Hysteron, definition 420
Ill-posedness (Hadainard) 120
Inchworm actuators 12
inf 421
Interaction field, ferroelectric, density 111
Interaction field, magnetic 201 209
Interaction field, magnetic, density 221
Interaction field, magnetic, Preisach 192
Interaction stress 270
Internal variables, SMA models 243
Irreversible thermodynamics, citations 58
Ising model 179
Ising relation, ferroelectric 88
Ising relation, ferroic 286
Ising relation, magnetic 209
Ising relation, relaxor ferroelectric 144
Jiles — Atherton model 209—214
Joule heating, ferroelectric model 126
Joule heating, magnetic model 227
Joule heating, shape memory alloy model 268
Kelvin — Voigt damping 68 228
Kennedy units 167 281
Kinetic energy, beam 397
Kinetic energy, particle 443
Kinetic energy, rod 312 390
Kirchhoff hypothesis 306
Kirchhoff model see "Plates models"
Lagrange multiplier 107
Lagrangian 444
Lagrangian mechanics 311 443—445
Lame constants 341
Landau notation 421
Langevin relation, ferroelectric 89
Langevin relation, ferroic 287
Langevin relation, magnetic 209
Lead, titanate  44
Lead, zirconate titanate see "PZT"
Least squares solution 120
Legendre polynomials 379
Legendre transform 63 311 437—439
Lipca 11
Love assumptions 306
Mach — Zehnder interferometers 38
Magnetic, accommodation (reptation), homogenized energy model 233
Magnetic, accommodation (reptation), Preisach model 203
Magnetic, accommodation (reptation), properties 172
Magnetic, after-effects, homogenized energy model 233
Magnetic, after-effects, Preisach model 202
Magnetic, after-effects, properties 171
Magnetic, domains, definition 417
Magnetic, easy axes 163
Magnetic, flux density see "Magnetic induction"
| Magnetic, hysteresis 167
Magnetic, induction, definition 422
Magnetic, induction, measurement technique 422
Magnetic, material properties 165
Magnetic, models (linear), constitutive relations 181—183
Magnetic, models (linear), energy formulation 182—183
Magnetic, models (nonlinear), domain wall 209—214
Magnetic, models (nonlinear), energy relations 183—208
Magnetic, models (nonlinear), homogenized energy model 215—240
Magnetic, permeability 166 167 422
Magnetic, remanence, definition 422
Magnetic, reptation see "Accommodation"
Magnetic, susceptibility 166 167 423
Magnetization, anhysteretic, definition 411
Magnetization, anhysteretic, homogenized energy model 223
Magnetization, anhysteretic, local model 219
Magnetization, anhysteretic, models 209
Magnetization, anhysteretic, properties 170
Magnetization, anhysteretic, simulated process 224
Magnetization, definition 423
Magnetization, irreversible 210
Magnetization, measurement technique 423
Magnetization, remanent, definition 422
Magnetization, reversible 211
Magnetization, saturation 185
Magnetization, saturation, definition 420
Magnetization, saturation, material values 165
Magnetization, spontaneous 161
Magnetization, spontaneous, definition 426
Magnetomechanical coupling factor, material values 165
Magnetomechanical effects 172—177
Magnetorheological (MR) elastomers 30
Magnetorheological (MR) fluids 34—36
Magnetostriction 15
Magnetostriction, definition 423
Magnetostriction, Joule 174 423
Magnetostriction, saturation 173 423
Magnetostriction, saturation, material values 165
Magnetostriction, spontaneous 173 423
Magnetostrictive materials, applications 16—20
Martensite 21
Martensite, twinned (self-accommodated) 245
Martensite, variants 244
MATLAB software, AFM stage 393
MATLAB software, beam model 402
MATLAB software, ferroelectric materials 132
MATLAB software, ferromagnetic materials 235
MATLAB software, plate model 406
MATLAB software, rod model 393
MATLAB software, shape memory alloys 274
Matrices, damping, beam (global) 394
Matrices, damping, rod (global) 386—387
Matrices, damping, shell 408—409
Matrices, mass, beam (global) 394 398—402
Matrices, mass, plate 404
Matrices, mass, rod (global) 386—387 391—392
Matrices, mass, rod (local) 391
Matrices, mass, shell 408—409
Matrices, stiffness, beam (global) 394 398—402
Matrices, stiffness, plate 404
Matrices, stiffness, rod (global) 386—387 391—392
Matrices, stiffness, rod (local) 391
Matrices, stiffness, shell 408—409
Matteucci effect 15
Mean field approximation, ferroelectric 75
Mean field approximation, magnetic 185
Membranes, applications 298
Metastable states, definition 423
Metastable states, ferroelectric 72
Metastable states, shape memory alloys 257
Method of least squares 418
Micromechanical models, citations 133
Micropolar regions 145
Mindlin — Reissner model see "Plates models"
Models, beams, curved 352—353
Models, beams, strong formulation 315—320
Models, beams, Timoshenko 356
Models, beams, weak formulation 320—322
Models, beams, well-posedness 307—308
Models, plates, Mindlin — Reissner 354—356
Models, plates, strong formulation 325—338
Models, plates, von Karman 356—359
Models, plates, weak formulation 334—335 338
Models, rods, strong formulation 307—310
Models, rods, weak formulation 310—315
Models, shells 341—352
Models, shells, abstract formulation 370
Models, THUNDER 359—365
Moore — Penrose inverse 118
Morphotropic phase boundary 48
NASTRAN 183
Newton — Cotes formulae see "Quadrature techniques"
Newton’s Second Law 442
Nickel titanium see "Nitinol"
NiTi see "Nitinol"
Nitinol (NiTi) 21 241
Nitinol (NiTi), characterization 262 273—274
Nondestructive evaluation (NDE) 9
Nuclear magnetic resonance microscope (NMRM) 13
Numerical integration see "Quadrature techniques"
Optimal patch placement 396
Order parameter 282
Order parameter as internal variable 243
Order parameter, definition 423
Order parameter, ferroic materials 282
Order parameter, first-order phase transition 282
Order parameter, second-order phase transition 282
Paramagnetic phase, definition 423
Paramagnetism, definition 423
Parameter estimation, abstract formulation 119
Parameter space see "Spaces parameter"
Parameter-to-observation map 119
Permeability of free space value 424
Permittivity of free space value 424
Perovskite structure 44
Petrov — Galerkin methods 418
Phase transition, first-order 72 254 257
Phase transition, second-order 70 170
Piezoelectric, effect, converse 46 56
Piezoelectric, effect, definition 424
Piezoelectric, effect, direct 46 56
Piezoelectric, materials, applications 7—15
Piezoelectric, materials, definition 424
Piezoelectric, materials, linear constitutive relations 68
Piezoelectric, materials, linear models 55
Piezoelectricity 6
Piezomagnetic relations 181
Piezomagnetic relations, definition 424
Pinning, energy, ferroelectric 90
Pinning, energy, magnetic 210
Pinning, sites, definition 425
Pinning, sites, ferroelectric 53
Pinning, sites, magnetic 167
Plates, applications 296
Plates, approximation techniques, circular 405
Plates, approximation techniques, rectangular 403—405
Plates, models, boundary conditions 333—334 338
Plates, models, circular 335—341
Plates, models, force and moment balance 326—328 336
Plates, models, Kirchhoff 306
Plates, models, Mindlin — Reissner 306 354—356
Plates, models, rectangular 325—335
Plates, models, resultant evaluation 330—333 336—337
Plates, models, strain-displacement relations 329—330
Plates, models, stress-strain relations 328—329
Plates, models, strong formulation 328
Plates, models, von Karman 306 356—359
Plates, models, weak formulation 334—335 338
PLZT 52
PMN (lead magnesium niobate), characterization 154—158
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