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| Eringen A.C. — Mechanics of continua |
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| Предметный указатель |
Moment, statistical 425
Momenta, balance of 107
Momentum 87
Momentum, moment of 87 88
Monoclinic system 473
Motion 7 68
Motion, inverse 7 17
Motion, irrotational 264
Motion, isochoric 265
Motion, plane 68 72
Motion, rigid 28 77 85
Motion, self-semilar 298
Motion, vortex 275
Motions of Taylor 273
Navier — Duhamel 315
Navier — Stokes equations 259 261 262 264
Navier’s equations 214 215
Negative charge 426
Neighborhood, axiom of 157
Neighborhood, smooth 157
Neighborhood, smooth, axiom of 165
Nernst effect 462
Non-ferrous metals 479 495
Non-heat-conducting materials 166
Non-Newtonian fluids 269
Nonpolar 107
Nonsimple materials of the material, gradient type 158 165
Normal strains 18 22 23 39
Normal stress 105
Objective 101 104 116
Objective, tensors 91
Objective, vectors 93
Objectively equivalent 93
Objectively equivalent, motions 93
Objectivity 106
Objectivity, axiom of 163
Objectivity, principle of 92 130
Oldroyd stress flux 117
Onsager theorem 466
Onsager’s principle 137 346
Orbital motion of electrons 455
Orthogonal curvilinear coordinates 211 212 553
Orthogonal group 532
Orthogonal transformation 530
Orthotropy 196
Parallelepiped, rectangular 17 20
Parallelepiped, rectilinear 20
Path lines 72
Peltier effect 462 463
Perfect fluids 513
Perturbation 280
Perturbation expansion 332
Physical components 211 547
Physical components, of stress tensor 236 240
Piezoelectric, ceramic 471
Piezoelectric, constants 472 475
Piezoelectric, crystals 471
Piezoelectric, effect 465
Piezoelectric, moduli 464
Piezoelectric, polarizability 464
Piezoelectric, resonance 493
Piezoelectrically stiffened stiffness tensor 488 489
Piezoelectricity 448 464 486
Piezomagnetic, effect 464 466
Piezomagnetic, moduli 464
Piola stresses 115
Piola — Kirchoff stress tensor 117
Plane motion 72
Plane motions of incompressible fluids 266
Plane strain 52 58
Plane waves 487
Plastic 204
Poiseuille flow 268
Poisson’s ratio 203
Polarization 430 449 463 464 495
Polarization, effective 427
Polarization, per unit mass 444
Polarization, surface 434
Polymers 373
Polynomial hemitroplc matrix 537
Polynomial invariant 532
Polytropic gas 279 281 282 298
Ponderomotive couple 448
Ponderomotive force 444 510
Positive charge 426
Positive semi-definite 347
Potential 27
Potential deformations 52
potential energy 123 124
Potential, chemical 132
Poynting effect 253 238 485
Poynting vector 444 445
Poynting, theorem 444
Prandtl number 294
Pressure 173
Pressure, hydrostatic 126 201 206 253
Pressure, thermodynamic 132 140
Principal axes 31 32 34 35 58 86 113
Principal axes, of strain 39 44
Principal directions 35 38 39 40 58 112
Principal directions, extensions 33 35
Principal directions, strains 37 38 58
Principal directions, stress 112
Principal directions, stretches 34 41 42 54
Principal directions, triad 39
Principle, of balance of global momenta 108
Principle, of balance of momentum 90
Principle, of conservation of energy 90 121
Principle, of conservation of mass 89
Principle, of entropy 133
Principle, of equipresence 136
Principle, of objectivity 92 130
Principle, of thermostatics 91
Principle, of virtual work 142
Principles of continuum mechanics, basic 149
Prony series 360 372
Proper direction(s) 37 57 86
Proper direction(s), numbers 39 40 57 489
Proper frame 432
Proper group 530
Pure strain 33 34 45
Pyroelectric polarizability 464
Pyroelectricity 465
Pyromagnetic, effect 465
Pyromagnetic, moduli 464
Quadric surface 30 112
Quadric surface of Cauchy 44
Quadrupole electric moment 440
Quadrupole moment 426
Quartz 471 472
Quasi-equilibrated 247
Quasi-static solutions 391
Radiation from a vibrating sphere 282
Rate theory 361
Rate-dependent material 450
Rate-dependent solids 340
Reciprocal tensor 12
Reciprocal theorem of Betti and Rayleigh 245
Reciprocal vectors 11
Reflection 28
Reimann — Christoffel (curvature) tensor 63 557
Relative, deformation function 13
Relative, deformation gradient 14
Relative, deformation measure 14
Relative, dielectric constants 475
Relative, invariant 531
Relative, scalar 546
Relative, strain measure 14
Relaxation bulk modulus 372
Relaxation tests 372
| Relaxation time 351
Representation theorems 361
Retarded potentials 518
Retarded values 529
Reynolds number 514
Ricci’s theorem 552
Riemann, theorem of 63
Righli — Leduc effect 462
Rigid materials 166
Rigid materials, rotation 33 34 47 165
Rigid materials, translations 29 33 34 47 163
Rigid, deformation 23 52
Rigid, displacement 15
Rigid, motion 28 77 85
Rigidity, modulus of 205
Rivlin — Ericksen tensors 76 368
Rochelle salt 471
Rotation 19 20 26 29 44
Rotation vectors 29
Rotation, infinitesimal 20 25 144
Rotation, mean 25
Rotation, rigid 33 34 47 164
Rubber, vulcanized 207
Scalar, absolute 544
Scalar, relative 546
Scattered power 288
Second law of thermodynamics 451
Seebeck effect 462 463
Self-similar motion 298
Semi-conductors 480
shear modulus 205
Shear test, simple 205
Shear viscosities 252
Shear(s), infinitesimal 24
Shear(s), simple 52 56 112 202 233
shearing 84
Shearing flow, rectilinear 254
Shearing stress 105
Shearing stress, maximum 113
Shell, spherical 219
Shift of time 163
Shifters 9 15
Shifting theorem 409
Shock front 290
Shock front, polar 293
Shock wave 289 292 295
Shock wave, normal 294
Shock wave, spherical 297 335
Shock wave, structure of 296
Shock wave, width of 295
Shock, normal 292
Shocks 80
Shubnikov’s group 455
Similarity solution 271
Simple materials 158 166 168
Simple materials, thermorheologically 371 382
Simple shear, of a polarized dielectric 481 485
Simple tension 112
Skew-symmetric (tensor) 531
Slip conditions 260
Smooth neighborhood 157
Smooth neighborhood, axiom of 165
Solids, elastic, incompressible 172
Solids, thermoelastic 185
Solids, thermoelastic Kelvin — Voigt 363
Solids, thermoviscoelastic 344 387
Sommerfeld radiation condition 226 286
Sound, velocity of 281 291
Space group 455
Spatial coordinates 7
Spatial coordinates, ellipsoid 30
Spatial coordinates, equation of continuity 90
Spatial coordinates, isotropy 155
Spatial coordinates, line 78
Spatial coordinates, volume 6
Spatially hemitropic 155
Specific enthalpy 291
Specific enthalpy, heat 132 133
Spherical, coordinates 214 555
Spherical, explosion 297
Spin 82 85
Spin tensor 84 93
Spin, of electrons 455
Stable particle 425
Stagnation flow, plane 276
Stagnation pressure 278
State function 91
Statistical moment 425
Stokes 524
Stokes, condition 253
Stokes, theorem(s) 79 82 551
Stokesian fluids 177 250
Stokesian fluids, linear 252
Stokesian fluids, thermoviscous 182
Storage modulus 377
strain 16 20 29 34 47
Strain ellipsoid 30 32 33 35 41
Strain energy 123 124
Strain energy, total 125
Strain rate 86
Strain rate, eulerian 87
Strain rate, langrangian 87
Strain tensors 15
Strain tensors, eulerian 15
Strain, homogeneous 53
Strain, normal 18 22 23 39
Strain, plane 52 58
Strain, principal 37 38 58
Strain, principal axes of 39 44
Strain, pure 33 34 45
Strain, uniaxial 54 56
Strain-rate dependent materials 351
Strains, infinitesimal 19 29 58
Strains, infinitesimal normal 25
Strains, shear 18 22
Strains, shearing 23 32
Stream lines 72
Stream lines, sheets 72
Stream lines, tubes 72
Stress effect, normal 253 270
Stress flux 115 349
Stress flux, Oldroyd 117
Stress hypothesis 100 101
Stress hypothesis, potential 348
Stress hypothesis, power 123
Stress quadric of Cauchy 111 112
Stress rate 115 345
Stress relaxation 373
Stress tensor 104 106
Stress tensor, electromagnetic 442
Stress tensor, Piola — Kirchoff 117
Stress vectors 101 103 106
Stress, biaxial 112
Stress, couple 112 (see also “Couple stress”)
Stress, hyperelastic 124 125
Stress, magnetostrictive 460
Stress, maximum shearing 113
Stress, normal 105
Stress, plane 112
Stress, principal 112
Stress, rate of 116
Stress, shearing 105
Stress, uniaxial 112
Stretch 21 22 34 40 47
Stretch, principal 34 41 42 54
Stretching 83 84
Subsonic 292
Superconductors 480
Supersonic 292
surface 6 73 77
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