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| Kienzler R., Herrmann G. — Mechanics of material space: with applications to defect and fracture mechanics |
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| Предметный указатель |
Li, S. 219 233
Li, X. 72
Lie group (theory) VI 3 13 26 28
Lie, S. 3
Lo, K.K. 233 237
Load, loading, (mechanical) 98 f. 107—109 115—119 129 148 171 174—179 195 202—213 237 239 243 245
Load, loading, material 200 201 204
Load, loading, Newtonian V
Load, loading, transverse (pressure) 195 198 221—232 246—258 260—272
M integral 3 72 81 96—100 111 115 124—128 142 219 228 232 271
Mass, density 15 133 141 222 245 250 266
Mass, flux 15
Maugin, G.A. 3
Maxwell tensor of elasticity 3
McMeeking, R.M. 176
Mechanics in Material Space (MiMS) V f. 2—6 107
Mechanics in Physical Space (MiPS) V f. 2—6
Mechanics, classical V f. 1 29
Mechanics, configurational VI 3
Mechanics, continuum 4 51 79
Mechanics, defect VI 2 19
Mechanics, Eshelbian 3
Mechanics, fracture VI f. 2 19 70 95 107 121 127 145 152 209 224 229
Middle surface (mid-surface, middle-plane surface, mid-plane) 219 f. 226 233—235
Mindlin, R.D. 54 220
Mindlin’s theory (Mindlin plate) 221—224 259 261 268
MODE 95 108
Mode, antiplane sliding (III) 108 211
Mode, inplane sliding (II) 108 127
Mode, mixed 108 f.
Mode, opening (I) 108 f. 127 178 211
Moebius, A.F. 70
Mohr’s circle 92
moment 70 77 132 148 224 227 234 266 270
Moment of inertia 129 198 211 213 222 266
Moment, bending 129 195 198 220 222 254 258
Moment, material 208
Moment, physical 69 208
Moment, scalar (expanding or Flich-) 38 69—71 115 201 208
Moment, twisting 195 220 222
Moment, vector (angular) 69 f. 115 274
Momentum 4 116 135 140
Momentum, canonical 135
Momentum, material 7 33 78 90 135 201 266 270
Momentum, physical 7 33 54 90 135 141
Momentum, wave (field) 136—141 159 250 265
Moore, S. 121
Morse, P.M. 49 135 136 139 140 141
Mueller, W.H. 211 216
Multi-index notation 23 44
Mura, T. 81 104
Naghdi, P.M. 219
Navier, C.L.M.H. 195
Neutral Action (NA) method 4 13 42—51 72 78 138 161—188 201 219 239 245 251 256 259 272
Newton, I. 1
Newton’s law (equation) V 1 10 76 104
Nicholson, J.M. 233
Nilsson, F. 146
Niordson, F.I. 233
Noether, E. 3 29 124
Noether’s, (first) theorem 3 28 33 47 51 62 68 72 123
Noether’s, method (formalism or approach) 13 19 49 78 138 201 219 259
Noether’s, second theorem 29
Olver, P.J. 17 18 23 26 29 33 43 68 75 77 172
Operator 26 171
Operator, adjoint 172
Operator, differential 26 51 77
Operator, Euler 23 42—25 74
Operator, Laplace 224
Operator, total differential 14 22 27 30 261
Pak, Y.E. 175 177 178
Paris, P.C. 107
Park, S. 179
Peach, M. 102
Permability coefficient 193
Phase 156—158
Phase, boundary V 2 4
Phase, transition 206
Piezoceramic 174 178
Piezoelectricity VII 19 173—179
Pipe, cylindrical 215 f.
Plasticity 172
Plate Theory VII 219—235 259—272
Podiu-Guidugli, P. 4
Pohanka, R.C. 179
Poisson — Kirchhoff plate theory (classical plate theory) 220—231
Poisson’s ratio 56 77 108 123—128 222 266
Popelar, C.H. 107
Porous medium VII 173 192
Potential 19 165 173 177
Potential of external forces (loads) 57 69 76 147 152 197—207 222—227 234 268
Potential, Boussinesq — Papkovitsch — Neuber 59
Potential, creep 171
Potential, elastic 57 207
Potential, electric 174—177
Potential, kinetic 19 134
Potential, thermodynamic 176
Prologation, first 26 30 260
Prologation, higher 36
Prologation, second 35
Reissner, E. 220 269
Reissner’s (plate) theory 220—222 269
Relativity 29
Ricc’s J integral see “J-integral”
Rice, J.R. 3 72 97 100 109
Riedel, H. 171 172
Riemann — Christoffel curvature tensor 236
Riemannian, geometry 233
Riemannian, space 6
Roesel, R. 79 202
Rotation 13 66—78 88 92 95 99 103 116 125 152 154 197 220 228 233
Samdani, G. 121
Sanders, J.L. 3 216
Scaling 72 78
Scaling, material 67 73 78
Scaling, physical 67 f. 73
Scattering theory 18
Schmidt, I. 94
Schweins 70
Self-similar expansion 13 71 78 95 100 103 116 152 208 228
Shaft VII 195—215
Shear 197 220 229
Shear, antiplane 61
Shear, correction factor 222
Shear, modulus 56 60 100 108 125 198 222
Shear, simple 89
Shell (theory) VII 6 216 219 233—237
Shield, R.T. 79
Shyy, W. 219 233
Sih, G.C. 107 108
Similarity, material 68
Simmonds, J.G. 233
Smith, P.L. 179
Sosa, H.A. 174 175 177 199 211 219 228 229 232
| Source term 8 68 133 160 178 201 204 207
Spherical part of a tensor 65
Stability of Equilibrium 4 9 106
Stability of plane boundaries 92
Stability of solutions 18
Stark, J.P. 104
Statics 53 114 116 195 221 225 234 252 269
Sternberg, E. 3 67 124
Stiffness, bending (fluxural) 198 205 216 222 246—258 260 266
Stiffness, compressional (axial) 36 134 196 201—209 240—243
Stiffness, shear 222—232 260 266 271
strain 58—61 88 107 122 128 167 171 174—176 181 188 191 196 234 240
Strain, plane 59 f. 88 102 108 122 127 145 168 210
Strain, shear 131 168 197 220 223 230 234
Strength-of-materials VII 2 19 114 139 195 216
Stress 7 57—61 76 82—116 127 133—141 165—188 191 209 219 250
Stress, -intensity factor VI f. 2 107—113 121 127—132 145 195 205—216 229
Stress, eigen 101
Stress, field 9 11 82 100 105 111—116 128 131 174
Stress, hydrostatic 89
Stress, inplane 220
Stress, internal 53
Stress, normal 54 220
Stress, plane 10 59 60 88 108 125 127 145 210.
Stress, plate 221—229
Stress, principal 54
Stress, shear 54
Stress, wave 136 250
Summation convention 15 53 180 225
Sun, C.-T. 179
Suo, Z. 176
Superposition 106 267
Symmetries of differential equations 172
Symmetries, (variational) VI 28 33 66 68 172 261—272
Symmetries, contact 28
Symmetries, divergence 33
Symmetries, geometric, point 28 37 39 124 259—272
Symmetries, Lie — Baecklund, generalized 28 41 272
Symmetry, symmetric 9 f. 54 57 64 81 86 89 106 130—132 141 175 209 233
Symmetry, symmetric, relation (condition) 55 67 146
Tada, H. 108
Taylor series 21 25 35
Temperature gradient 181—188
Tension(-compression) 6 178 195 200—217
Tension-torsion analogy 203
Tensor of elasticity 55
Tensor, (Cauchy) stress V 3 7 9 33 54—57 64 66 79 91 140 147—150 160
Tensor, compliance 175
Tensor, curvature 234
Tensor, dielectric (impermeability) 175 f.
Tensor, energy momentum 3 135 139
Tensor, Eshelby V f. 3—9 33 63—67 76 79 81—93 139 149 160 173 177 186 225 233—236 265
Tensor, field 81
Tensor, incompatibility 53
Tensor, mass stress 141
Tensor, material momentum V 3 33 135 265
Tensor, permutation, Levi-Chivita 52 56 148 226
Tensor, physical momentum 33
Tensor, piezoelectric 175
Tensor, rotation 52—55 88
Tensor, strain 52—57 88 171
Thermodynamics, first law of 15 108 136 167
Thermodynamics, second law of 4
Thermoelasticity VI 19 145 173 179—188 192
Tiersten, H.F. 54 174
Timoshenko beam (theory) 29 198
Timoshenko, S.P. 51 58 60 92 223 224
torque 197
Torsion 195 197—215
Toupin, R.A. 177
Traction 4 54 86 98 109—112 125 152 167 170
Traction, material 2 7 92 112 116
Traction, physical 2 7 11 98 177
Trajectory 4 11 104—106
Transformation 23—44 63—85 91 92 101—103 116 122—124 172 208 232 260—263 269
Transformation, generalized 68
Transformation, geometric, point 68
Transformation, phase 18
Transformation, scale, similarity 67
Transformation, symmetry 122
Translation 13 29 71 84—86 93—97 103 116 123 125 147 152 154 178 205—209 228
Translation in material space (material) 7 33 66 73 84—90 97 116 138 207 233
Translation in physical space (physical) 7 33 66 73 139
Translation, virtual 117 f.
Transport theorem (assumption) 152 f.
Twist 234
Uniqueness theorem (unique solution) 18 58
Value, extremal 86 91 93
Value, principal 81 86 89
Variation 20 f. 43—45 48
Variational Principle 3 42 72 177 202
Variational principle, invariant 3
Variational problem 3 22
Variational problem, trivial 42
Vector, contravariant base 233
Vector, couple-stress 45
Vector, displacement 53 58 133 176
Vector, electric-displacement 174
Vector, electric-field 174
Vector, energy-flow 139 f.
Vector, rotation 52 f.
Vector, traction 54 58 90—99
Velocity 135 f. 152 167
Velocity, group 157
Velocity, phase 135 157 160
Vibration 143
Virial 38 69—71 115 142 200—209 241
Virial, second-order 200—204 241
Virtual-displacement or virtual-work (theorem) 116 f. 202
Viscoelasticity 42 161 165—172
Viscosity, coefficient of 165 168—170
void 1 4 95
Volterra, V. 100
Warping 234
Wave, action 159 f.
Wave, dipersive 156 158
Wave, motion 134 156 160
Wave, non-dispersive 157
Wave, number 156
Wave, shock 18 163
Wave, train 157
Weaver, W. 143
West, B.H. 89
Whitham, G.B. 160
Williams, M.L. 107 127
Woinowsky-Krieger, S. 223 224
Work of external forces 20 83
Work of material forces 207
Work of surface tractions 82 86
Work, (external) 82—86 99 117 139
Work, rate of 5 136 152 167 170 250 265
Work, virtual 117
Yielding, electrical 179
Young’s modulus 36 56 108 127—131 134 165 196 222
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