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| Авторизация |
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| Eringen A.C. — Mechanics of continua |
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| Предметный указатель |
Equation of continuity, spatial 90
Equations of, balance 208 476 508
Equations of, heat conduction 309
Equations of, jump 208 476 509
Equations of, motion, Euler’s 101
Equations of, state 132
Equilibrium, stability of 202
Equilibrium, thermal 141
Equipresence, axiom of 155
Equipresence, principle of 136
Ettinghausen effect 462
Eulerian, coordinates 7
Eulerian, representation 17
Eulerian, strain rate(s) 86 87
Eulerian, strain tensors 15
Eulerian, strains 8 18
Euler’s equations 90 101
Eversion 238
expansion 238
Explosion 225
Explosion, spherical 297
Extension 22 23 33 54
Extension, simple 52 54
Extrinsic, body loads 99
Extrinsic, surface loads 99
Faltung, theorem 272
Faraday’s law 434 437
Ferrielectric effects 448
Ferrimagnetic 455
Ferroelectric materials 479
Ferromagnetic, effects 448 455
Ferromagnetic, materials 480
ferromagnetism 466
Ferrous metals 480
Field equations 209 512
Field, electric 430 439 449
Field, electromagnetic 441 478
Field, macroscopic electromagnetic 439
Field, magnetic 431
Finite simple shear 232
Finite torsion 235
Flat space 558
Flow theory, ideal 279
Flow, compressible inviscid 279
Flow, Couette 256
Flow, isentropic 298
Flow, plane stagnation 276
Flow, Poiseuille 268
Flow, rectilinear shearing 254
Fluid dynamics, resume of basic equations of 256
Fluid, compressible 258
Fluid, electromagnetic 505
Fluid, incompressible 175 252 258 262 266
Fluid, incompressible viscous 270
Fluid, non-Newtonian 269
Fluid, perfect 513
Fluid, stokesian 177 250
Fluid, thermoviscoeleastic 368 388
Fluid, thermoviscous stokesian 182
Fluid, viscoelastic 366
Fluid, viscous 140 141
Flux, stress 115 349
Flux, thermodynamic 137
Fourier, heat conduction law 311
Fourier, technique 413
Fourier, transform 272
Free charge 426
Free energy 171 186 193
Full group 530
Function basis 532
Function, error 319 411
Function, implicit 8
Function, influence 160
Function, memory 360
Functional 153
Functional theory 361
Functional, response 356
Galilean frame 92
Galilean transformation 431
Gas, barotropic 279
Gas, ideal 279 281 282
Gas, polytropic 279 281 282 298
Gas, van der Waals’ 146
Gauge conditions 518
Gauss’ law 434 437
General relativity 92
Generators 458 532
Generators, for skew-symmetric tensor-valued isotropic functions 535
Generators, of symmetric tensor-valued isotropic functions 534
Generators, of vector-valued isotropic functions 534
Gibb’s equation 132
Glass transition temperature 383
Gradient 523 552
Gradient, deformation 10 46
Gravity 99
Green 11 41 45
Green — Gauss Theorem 79 81 82 108 524 555
Green’s function 419
Group 530
Group, full 530
Group, proper 530
Half space 226 318 391
Half space, subject to impulsive pressure 406
Half space, subject to uniform pressure 216
Hall effect 462
Hankel’s formula 275
Hartmann number 514
heat capacity 464
Heat conduction 310
Heat conduction law of Fourier 311
Heat conduction, equation of 309 453 497 512
Heat, energy 91 121
Heat, increment 133
Heat, latent 132
Heat, specific 132 133
Heat, vector 122
Helmholtz equation 274
Helmholtz free energy 449
Hemihedral 174
Hemitropic 156 165 181 183 185 532
Hemitropic matrix polynomial 537
Hemitropic matrix polynomial, tensor function 350 .
Hexagonal system 197
Hodograph transformation 305
Holohedral 174
Homogeneous 131 156 165 454
Homogeneous strain 53
Hooke — Cauchy law 199
Hydrostatic pressure 126 201 206 253
Hydrostatic pressure, test 205
Hyperelastic stress 124 125
Hypoelasticity 350
Ideal gas 279 281 282
Impenetrable 8
Incompressible elastic solids 172
Incompressible fluids 181 513
Incompressible fluids, plane motion of 266
Incompressible materials 200 177 232
Incompressible solids 188
Incompressible viscous fluids 270
Indestructible 7
Indices, lowering 544 547
Indices, raising 547
Inequality, Clausius — Duhem 120 133 136 139
Infinitesimal deformation theory 20
Infinitesimal deformation theory, rotation tensors 19
Initial conditions 209 498
Integral balance law 436
Integrity basis 532 536 537 538
Integrity basis, minimal 532
| Internal constraints 157
Internal constraints, energy 90 91 122
Internal constraints, loads 100
Invariance, axiom of material 164
Invariant, absolute 531
Invariant, joint 345
Invariant, motion 7 17
Invariant, polynomial 532
Invariant, relative 531
Irreducible invariants, symmetric tensors, vectors, skew-symmetric tensors 533 534
Irrotational 223
Irrotational, motion 264
Isentropic 132
Isentropic, flow 298
Isochoric deformations 58 232
Isochoric deformations, motions 265
Isothermal 132
Isothermal material constants 471
Isotropic 156 165 181 185 454 532
Isotropic, electromagnetic elastic solids 456
Isotropic, functions 458 508
Isotropic, materials 455
Isotropic, scalar 532
Isotropic, solids 198 311 347
Isotropy, group 454
Isotropy, spatial 155
Jacobi, identity of 10
Jacobian 8 540
Joint invariant 458
Jump 81
Jump condition 109 437 438 481 496 511
Jump, energy 127
Jump, equations of 208
Kelvin effect 253 485
Kelvin — Voigt, material 407
Kelvin — Voigt, model 392
Kelvin — Voigt, solid 340 345 398 399
kernels 357
Killing 75
Killing’s theorem 85
Kinematic relations 209
Kinematic relations, viscosity 256
Kinematics of line 77
kinetic energy 88
Lagrangian 15 86
Lagrangian, coordinates 7
Lagrangian, representation 17
Lagrangian, strain rates 87
Lagrangian, strains 18 22 459
Lame constants 198
Laplace transform 331 362
Laplacian 523 553
Latent heats 132
Line, material 72
Linear momentum 88
Linear rate theory 366
Linear solid, standard 405
Linear theory of Maxwell solids 351
Linear viscoelasticity, finite 359
Lithium sulfate 471 472
Loading, impact 406
Loads, extrinsic body 99
Loads, extrinsic surface 99
Loads, internal 100
Loads, mutual 100
Local balance law 436
Lorentz transformation 433
Lorentz’s force 430
Loss angle 396
Loss modulus 377
Loss tangent 377
Mach number 292 296
Macroscopic electromagnetic fields 439
Magnetic, diffusivity 512
Magnetic, dipole 428 440
Magnetic, field 431
Magnetic, induction 430 439 449
Magnetic, moment 427 428
Magnetic, polarizability 464
Magnetic, pressure number 504
Magnetic, Reynolds number 514
Magnetic, susceptibility 464
Magnetic, symmetry group 455
magnetization 430 449 463 464 495
Magnetization, gradients 480
Magneto-electric effect 464 466
Magneto-thermoelastic waves 502 504
Magnetoelasticity 495
Magnetohydrodynamic channel flow 513
Magnetohydrodynamics 448 510
Magnetostrictive stresses 460
Mass 87
mass density 88
Master balance laws 446
Material coordinates 7 113
Material derivative 68 70 73 74 77
Material derivative, of a surface integral 78
Material derivative, of the element of area 76
Material derivative, of the jacobian 75
Material derivative, of the langrangian strain 75
Material derivative, of the square of the arc length 74
Material derivative, of the volume element 76
Material descriptors 165
Material descriptors, ellipsoid 30 31 40
Material descriptors, interface 128
Material frame-indifferent 91 93
Material invariance, axiom of 150
Material line 72
Material line, manifold 72
Material line, surface 73
Material line, symmetry 195 450 453
Material line, volume 6 79
Material moduli 469
Material time rate 435
Materials of the rate type 160
Matter, impenetrability of 68
Maximum shearing stress 113
Maxwell solid(s) 348 385 402 412
Maxwell solid(s), linear theory of 351
Maxwellian distribution 141
Maxwell’s electromagnetic theory 431
Maxwell’s electromagnetic theory, equation 430 432 437 446 476 508 511
Maxwell’s electromagnetic theory, stress tensor 442
Mean free path 297
Mechanical energy 123
Mechanical energy, conservation of 124
Mechanically admissible 136
Memory of temperature 356
Memory, axiom of 159
Memory, dependent electromagnetic materials 450
Memory, fading 160
Memory, fading, axiom of 161
Memory, smooth, axiom of 167
Merrington effect 270
Metric tensor 543
Micromotion 449
Minimal basis 532
Mixed tensor 545
Mixed tensor, relative 546
Moduli, complex 376
Modulus, bulk 201
Modulus, loss 377
Modulus, of compression 201
Modulus, of rigidity 205
Modulus, storage 377
Mohr’s circle 59 61 112 113
Moment, electric 426
Moment, magnetic 427 428
Moment, quadrupole 426
Moment, quadrupole electric 440
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