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| Авторизация |
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| Smith R. — Smart material systems: model development |
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| Предметный указатель |
![$C^{n} [a, b]$](/math_tex/9ba640eb281cb16a6f878a2e6ca4020a82.gif) 412
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ABAQUS 183
Action integral 312 444
Action integral, augmented 313
Actuators, amorphous polymers 30
Actuators, cymbal 12
Actuators, inchworm 20
Actuators, ionic polymers 31
Actuators, magnetostrictive 16
Actuators, MEMS 30
Actuators, piezoelectric 7
Actuators, PVDF 28
Actuators, shape memory alloy 23
Anisotropy, definition 411
Anisotropy, magnetic, constant 164
Anisotropy, magnetic, crystal 163
Anisotropy, magnetic, cubic, hexagonal, uniaxial 163
Anisotropy, magnetic, energy 164 180
Anisotropy, magnetic, stress 163
Arrhenius relation 171
ATILA 183
Atomic Force Microscope (AFM) 13
Atomic force microscope (AFM), rod model 307—315
Atomic force microscope (AFM), shell model 349—352
Austenite 21
B sites 142
Banach space, definition 411
Barium titanate  44
Barium titanate , first-order behavior 72
Barkhausen effect 167
Basis functions, beams, cubic B-splines 393
Basis functions, beams, cubic Hermite (global) 399
Basis functions, beams, cubic Hermite (local) 397
Basis functions, Galerkin 418
Basis functions, plates, cubic B-splines 403
Basis functions, rods, global 385
Basis functions, rods, local 390
Basis functions, shells, Fourier-spline 407—408
Beams, applications 298
Beams, approximation techniques, finite element 396—402
Beams, approximation techniques, general Galerkin 393—396
Beams, models, abstract formulation 366—370
Beams, models, boundary conditions 320
Beams, models, curved 352—353
Beams, models, effective Young’s modulus 319
Beams, models, Euler — Bernoulli 315—325 354
Beams, models, force and moment balance 316—317 324
Beams, models, moment evaluation 317—320 324
Beams, models, moment of inertia 319
Beams, models, neutral line 318
Beams, models, strong form 320
Beams, models, surface-mounted patches 323—325
Beams, models, Timoshenko 306 356
Beams, models, unimorph 316—322
Bimorph, definition 411
Boltzmann, density 218 238 267 291
Boltzmann, density, Gaussian behavior 102
Boltzmann’s constant 75
Boltzmann’s relation 75 107 147 416
Borel measure 82 285
Boundary conditions, clamped or fixed, beam 320
Boundary conditions, clamped or fixed, plate 334 338
Boundary conditions, clamped or fixed, rod 309
Boundary conditions, clamped or fixed, shells 348
Boundary conditions, energy-dissipating, plate 338
Boundary conditions, energy-dissipating, rod 309
Boundary conditions, essential 334 417
Boundary conditions, free 309
Boundary conditions, free, beam 320
Boundary conditions, free, plate 334
Boundary conditions, free, shells 348
Boundary conditions, natural 334 423
Boundary conditions, shear diaphragm, plate 334
Boundary conditions, simply supported, plate 334
Boundary conditions, simply supported, shells 348
Boundary conditions, sliding end 364
Bragg grating sensors 40
Byrne — Fluegge — Lur’ye model see "Shells" "Models"
C(0,T;X) 412
Chemical detection 32
Chemical free energy 256
Clutch design (MR fluids) 35
Coercive field, ferroelectric 47
Coercive field, ferroelectric, definition 412
Coercive field, ferroelectric, density 111
Coercive field, ferroelectric, local 101
Coercive field, magnetic, definition 412
Coercive field, magnetic, density 221
Coercive field, Preisach model 192
Coercive field, relaxor ferroelectric, temperature-dependence 151 156
Coercive stress, definition 413
Collocation method 418
Compact operator, definition 413
Compact operator, polarization model 431—433
Conduction, ferroelectric model 126
Conduction, ferroic models 292
Conduction, magnetic model 227
Conduction, shape memory alloy model 268
Congruency property, definition 196
Congruency property, homogenized energy model 232
Congruency property, Preisach model 200
Conjugate field 282
Conservation of difficulty, law of 118
Constitutive relations, beams 302—304
Constitutive relations, ferroelectric, domain wall model 95
Constitutive relations, ferroelectric, homogenized energy model 126 303
Constitutive relations, ferroelectric, Ising relation 77
Constitutive relations, ferroelectric, linear 68 302
Constitutive relations, ferroelectric, polynomial 70 72
Constitutive relations, magnetic, domain wall model 212
Constitutive relations, magnetic, homogenized energy model 228 305
Constitutive relations, magnetic, Ising relation 187
Constitutive relations, magnetic, linear 181 304
Constitutive relations, magnetic, polynomial 187
Constitutive relations, plates 303
Constitutive relations, relaxor ferroelectric, anhysteretic 144
Constitutive relations, relaxor ferroelectric, domain wall model 152
Constitutive relations, relaxor ferroelectric, homogenized energy model 154
Constitutive relations, rods 303—305
Constitutive relations, shape memory alloys, domain wall model 261
Constitutive relations, shape memory alloys, homogenized energy model 270 305
Constitutive relations, shells 303—304
Convection, ferroelectric model 126
Convection, ferroic models 292
Convection, magnetic model 227
Convection, shape memory alloy model 268
Coordinates, area 383
Coordinates, shell 341
Crystallographic notation 161
Curie point, definition 413
Curie point, ferroelectric 44 70
Curie point, ferroic 283
Curie point, magnetic 186
Curie point, magnetic, material values 165
Curie point, PZT 48
Curie point, relaxor ferroelectric, global 148
Curie point, relaxor ferroelectric, local 146 148
Curie temperature, definition 414
Curie temperature, ferroelectric 72
Curie temperature, ferroic 283
Curie temperature, shape memory alloys 254
Curie — Weiss law 142 414
C[a,b] 412
D Field, definition 414
| D Field, measurement 414
Degree of precision, definition 376 414
Degree of precision, Gaussian formulae 377 384
Degree of precision, Newton — Cotes formulae 376
Deletion property, definition 196
Deletion property, homogenized energy model 233
Densities, ferroelectric, behavior illustrated 113
Densities, ferroelectric, general densities 114
Densities, ferroelectric, lognormal and normal 115
Densities, ferroic 293
Densities, magnetic, general 221
Densities, magnetic, lognormal and normal 222
Densities, micropolar regions 146
Densities, shape memory alloys, general 270
Densities, shape memory alloys, lognormal and normal 270
Density values, PZT, PVDF 28
Density values, Terfenol-D 307
Depolarizing held 45
Differential, definition 414
Differential, exact 414
Diffuse transition region 140
Dirac distribution 429
Dirac measure 84
Dirac sequence 109 429—430
Domain wall model, ferroelectric 84 93
Domain wall model, ferroelectric, inverse 94
Domain wall model, ferroelectric, model construction 97
Domain wall model, ferroelectric, PVDF characterization 95
Domain wall model, ferroelectric, PZT5A characterization 95
Domain wall model, ferroic 287
Domain wall model, magnetic 211
Domain wall model, magnetic, inverse 212
Domain wall model, magnetic, Terfenol-D characterization 213
Domain wall model, relaxor ferroelectric 151
Domain wall model, relaxor ferroelectric, model construction 152
Domain wall model, relaxor ferroelectric, PMN characterization 154
Domain wall model, relaxor ferroelectric, PMN-PT-BT characterization 153
Domain wall model, shape memory alloys 261
Domain wall model, shape memory alloys, NiTi characterization 262
Domain walls, ferroelastic 252 417
Domain walls, ferroelectric 46 417
Domain walls, ferroic 278
Domain walls, ferromagnetic 162 417
Domains, ferroelastic, definition 252 417
Domains, ferroelectric, 180° and 90° 40
Domains, ferroelectric, definition 417
Domains, ferroic 277
Domains, ferroic, behavior illustrated 278
Domains, ferromagnetic 101
Domains, ferromagnetic, 180° and 90° 162
Domains, ferromagnetic, closure 162
Domains, ferromagnetic, definition 417
Domains, ferromagnetic, rotation and translation 167
Donnell — Mushtari model see "Shells" "Models"
Duality product 366
Effective field, ferroelectric 86 137 145
Effective field, magnetic 209
Effective field, magnetic, stress-effects 213
Effective stress 270
Eigenvalue problem, rod model 388
Einstein summation convention, definition 416
Einstein summation convention, useage 55
Electromechanical coupling factor 67
Electromechanical coupling factor, magnetic material values 165
Electromechanical coupling factor, PZT, PVDF values 28
Electrorheological (ER), elastomers 36
Electrorheological (ER), fluids 34—36
Electrostriction, definition 416
Electrostrictive MEMs 299
Energy, elastic 253
Energy, ferroelectric, exchange 75
Energy, magnetic, anisotropy 164 180
Energy, magnetic, exchange 164 179 185
Energy, magnetic, magnetoelastic 180
Energy, magnetic, magnetostatic 180
Enthalpy (specific), ferroelectric model 126
Enthalpy (specific), magnetic model 227
Enthalpy (specific), shape memory alloy model 268
entropy 59 75
Entropy, Boltzmann’s relation 416
Entropy, definition 416
Entropy, inicropolar region 147
Entropy, specific, shape memory alloys 254 256
Euler hypothesis 306
Euler — Lagrange equations 440—442 444
Exchange energy, ferroelectric 75
Exchange energy, magnetic 164 179 185
Fabry — Perot strain sensors 39
Falk model, shape memory alloys 254
Faraday — Lenz law, computation of B 422
Faraday — Lenz law, computation of M 213 423
FEMLAB 183
Ferroelastic materials, definition 417
Ferroelectric materials, ferroelastic switching 47
Ferroelectric materials, ferroelectric switching 47
Ferroelectric materials, hysteresis 50
Ferroelectric materials, material behavior 44—54
Ferroelectric materials, models (linear), constitutive relations 55—64
Ferroelectric materials, models (linear), electromechanical coupling factor 67
Ferroelectric materials, models (linear), energy formulation 58—63
Ferroelectric materials, models (nonlinear), domain wall 84—98
Ferroelectric materials, models (nonlinear), energy relations 69—79
Ferroelectric materials, models (nonlinear), Ginzburg — Landau 133—135
Ferroelectric materials, models (nonlinear), homogenized energy model 98—132
Ferroelectric materials, models (nonlinear), Preisach 80—84
Ferroelectric materials, poled polycrystalline 49
Ferroic materials, definition 275
Ferroic materials, material behavior 277—280
Ferroic materials, unified models, domain wall 287
Ferroic materials, unified models, homogenized energy model 293
Ferroic materials, unified models, Preisach 285
Ferromagnetic materials see "Magnetic"
Ferromagnetic shape memory alloy (FSMA) 4 16 244
Fiber optic sensors 36—41
Finite elements, beams, global matrices 398—402
Finite elements, beams, local basis elements 397
Finite elements, beams, local matrices 396—398
Finite elements, rods, global matrices 391—392
Finite elements, rods, Hamiltonian formulation 390
Finite elements, rods, local basis elements 389—390
Finite elements, rods, local matrices 391
Finite elements, special case of Galerkin 417—419
First law of thermodynamics 58
First-order phase transition, ferroelectric 72
First-order phase transition, order parameter 282
First-order phase transition, shape memory alloys 254
First-order phase transition, shape memory alloys, behavior 257
Frechet differential 440
Freezing temperature 142
Freezing temperature, model 149
Galerkin methods, beams 393—396
Galerkin methods, general description 417—419
Galerkin methods, plates 403—405
Galerkin methods, rods 385—388
Galerkin methods, shells 406—409
Galfenol 16
Gateaux differential 439
Gelfand triple 366
Generalized force and momenta 444
Gibbs energy, elastic 63
Gibbs energy, ferroelectric 63 69 100
Gibbs energy, ferroelectric, behavior illustrated 71 74 79 102
Gibbs energy, ferroelectric, electromechanical 69 94 126
Gibbs energy, Gibbs energy, ferroic 282 289
Gibbs energy, magnetic 184
Gibbs energy, magnetic, behavior illustrated 220
Gibbs energy, magnetic, magnetomechanical 182 216 227
Gibbs energy, relaxor ferroelectric 144 149
Gibbs energy, shape memory alloys 254 265
Gibbs energy, shape memory alloys, behavior illustrated 265
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