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| Ïîèñê ïî óêàçàòåëÿì |
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| Kienzler R., Herrmann G. — Mechanics of material space: with applications to defect and fracture mechanics |
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| Ïðåäìåòíûé óêàçàòåëü |
Action integral 20—44 58 63 147 172
Anderson, T.L. 107
Angle of rotation 198
Angle of twist 197
Anisotropy, anisotropic 6 116 148 174 179
antisymmetric 65 89
arch 195
Arnold, V.I. 1 176
Bakker, A. 100
Balance laws IV 42 48 68 72—77 133—156 167 170 173—195 200—205 224—229 239 250 254 265—271
Balance of angular momentum 9 54 73 141 270
Balance of expanding (scalar) momentum 73 142
Balance of linear momentum 8 f. 42 54 73 201
Bar (theory) VII 36 38 45. 156—158 195—213 219 239—250
Barber, J.R. 51 59 60 75
Bazant, Z.P. 209 210 211
Beam (theory) VII 9 13 34 116 129—131 156 195—217 219 224 226 245—257 261
Beam (theory), double cantilever 128 f.
Bending 195—213 228 269
Bending, three-point 179 217
Benthem, J.P. 212 213 214 215
Bernoulli — Euler beam theory (classical or elementary theory) 198 220 245—252
Bernoulli, J. 195
Bernoulli’s normal hypothesis 219
Bessel-Hagen extension 13 33 39 41 48 51 62 67 124
Bessel-Hagen, E. 33 124
Betti — Maxwell reciprocal theorem 75
Binominal expansion 25
Biot, M.A. 180 192
Bluman, G.W. 172
Boundary, condition 43 58—60 129—131 137 177 207 220—224
Boundary, value problem 4 74 112
Budiansky, B. 3 72 97 100
Buggisch, H. 97
Bui, H.D. 72
bulk modulus 56
Burgers vector 100
Butkov, E. 161
C* integral 171 f.
Calculus of variation VI 20 42 48
Calculus, differential 20
Cauchy relation 7 54 90
Cauchy, A.L. 195
Cavity V 6 11 72 96 100—105 228
Chadwick, P. 79
Chain rule 34
Characteristic 13 27—37 44 72—78 124 162—172 181—191 239 245—277
Characteristic equation 54 f. 87 89
Charge, electric 174
Cherepanov, G.P. 3 105
Cherradi, N. 121
Chien, N. 45 162 163 165 172 179 180 246 259 261
Christoffel symbol 233
Clapeyron’s theorem 207
Compatibility 121
Conductivity, coefficient of thermal 162
Configuration V 3 52 71 79 98 116 198 219
Conservation law VI 3 13—48 51 62—79 95 121—126 133 138—146 161—173 181—191 195—205 219 224—238 239—272
Conservation law, dual 72
Conservation law, trivial 17 f. 42 188 191
Conservation of angular momentum 9 123
Conservation of energy 77 136 140 167 188 266
Conservation of linear momentum 8 f. 123
Conservation of mass 141
Conservation of waves 157
Consistent theory 219
Constitutive relation (equation or law) 1 42 48 57—62 76 79 147 167 171 174—192 204 223—234
Constraint (condition or equation) 66 68 75 199 221 237 241 246—257 262—272
Constraint (condition or equation), kinematic 198
Convolution 133 143—146
Cosserat theory 54 200
Crack V VII 1 3 9 72 100 109—121 151—154 169 174—179 195 206—216 229 232
Crack, length 4 108 179 209 211
Crack, size 211—215
Crack, tip 2 f. 95 107—116 127—131 145 152 179 209
creep 171
Cross-section 36 90—93 132 134 196—213 234
Current 27—48 63—75 122 135 162—188 204—271
Curvatur 198 234 237
Darcey’s law 193
Dead load 57
Defect 1—6 53 71 95—100 110 146 151 169—178 195 225
Deflection 129 f. 198 224
Degradation, electric 174
Delale, F. 172
Deviatoric part of a tensor 65 88
Dielectric VII 173—176
Differential, form 14
Differential, total 231
Differentiation 20 39 57
Differentiation of a product (product role) 22 27 30 35
Differentiation, partial 14 23 30
Differentiation, total 30 75 168
Diffusion 104 121 161 179 209
Diffusion, coefficient of 162
Dilatation 180 193
Direction, principal 55 81 86 89
Discontinuity 206
Discontinuity in stiffness 205 225
Dislocation V 1 10 53 95 100—106
Dispersion (relation) 157 159
Displacement 32 36 52—61 75 79 84 99 107 109 117 122 128 131 137 139 144 167
Displacement, electric 174—177
Displacement, field 74 f. 82 111 128
Displacement, gradient 19 52—57 67 75 86—88 137 177 185
Displacement, plate 221 f.
Displacement, transverse 220 f.
Dissipation 20 42 161 167 191
Dissipation, energy 3 167—170 270
Dissipative system VII 48 161 172 179
Divergence of flux 15 140
Divergence, expression 14 33 42 74 81 147—150 199
Divergence, free 9 63 66 125 133 166 174 226 247—256
Divergence, null 18
Divergence, Theorem 8 15 28 32 43 69 75 98 124 145 148 154 172 178 186 226—228
Duality 4 51 79 141 202
Duan, Z.P. 100
Duhamel’s integral 143
Dundurs, J. 104
Dynamics 76 156 245—251 269
Edelen, D.G.B. 68
Ehrlacher, A. 153
Eigenvalue 54 86 89 92
Eigenvalue, problem 54 89
Eischen, J.W. 77 97 100 127 128 146 186 232
Elasticity, elastic 3 19 71—79 95 171 179 185 209 220 226 231
Elasticity, elastic, antiplane 60
Elasticity, elastic, plane 60 235
Elasticity, elastic, theory of VI 13 51—60 87 89 107 195 227 230
Elastodynamics VI 79 133 143 146 151 221 224 245 259 265
Elastostatics VI 3 19 32 51 62—78 100 121 133 145 151 174—177 224 245
Elastostatics, antiplane 51
Elastostatics, plane 51 59 101 121 202. 211 263
Electrostatics 3
Energy density, potential 200 f. 265
Energy density, strain 13 19 56—60 67 76—78 82—87 98 102 122—130 134 147 152 167—170 175—191 197—209 222—234 259
Energy density, total see “Hamiltonian”
Energy, complementary 72
Energy, flux (or flow) of 15 136 157
Energy, internal 82—84
Energy, kinetic 20 76 134 146 152 222 224 245 265
Energy, potential 84 106 207 265
Energy, surface 108 152
Energy, theorem, (relation) 29 158
Energy, total V 2—10 82—89 92 97—99 103 108 116 118 137 208
Energy-absorption rate 152 f.
Energy-release rate VI f. 3 4 72 92 95—100 103 108—116 121 132 146—155 173—179 195. 228
Enthalpy (density), electric 176—178
Equation of compatibility 53 61
Equation of equilibrium 20 22 37 54—60 123 149 165—171 180 192 200 204 225 234 266
| Equation of motion 3 11 20 76 104 135—148 222—224
Equation, biharmonic 18
Equation, differential 13—18 24 32 41—49 59 64 72 89 105 123 161 164 172 219 239—245 252
Equation, diffusion 161
Equation, energy (-balance) 152—160
Equation, Euler — Lagrange 3 20—23 27—49 62 134 158 224 234 245 263
Equation, field 17 58 60 75 130 174—177 219 223
Equation, harmonic 18 61
Equation, Laplace’s 18 179
Equation, Navier — Lame 58—62 72 74
Equation, non-linear wave 161 163
Equation, wave 135
Equilibrium 1 10 53 69 104 106 116 119 133 138 196—203 239
Equilibrium, stable 10 106
Equilibrium, unstable 10 106
Erdogan, F. 121 127
Ericksen, J.L. 5
Esclienauer, H. 223 233 234
Eshelby, J.D. V 2 3 5 56 70 97 98 200
Euclidian space 1 6
Euler, L. 1 20 195
Expansion, thermal 180
Failure (criterium) 109 121 174
Federov, F.I. 175
Feshbach, H. 49 135 136 139 140 141
Field, coupled 19 173 179
Field, elastic VII 173—179
Field, electric VII 173—179
Field, intensity 139
Field, interacting VII
Field, thermal (temperature) VII 173 179—191
First integral 15 76
Fletcher, D.C. 148
Fluegge, W. 143 233
Flux 15 27 122 140 149 157 159 270
Fomin, S.V. 20
Force on a defect V 1—6 99
Force on a disclination 5
Force on a singularity V 2 97
Force, (transverse) shear 129 198 220—224 234 254 258 270
Force, body (volume) 8 f. 54—58 66—82 141—154 161 165 174
Force, configurational VI 2—6
Force, crack-extension VI 2 108 111 173 178
Force, driving 2 6 209
Force, Eshelbian V
Force, external 53 99 234
Force, Galilean V
Force, inertia (d’Alembert) 141 148
Force, inhomogeneity 6 9 67
Force, material V 2—11 38 70 95 102—116 136—141 200—209 226 241—243 250—258
Force, membrane 234
Force, Newtonian V 2—6
Force, Peach — Koehler 102
Force, physical V 4—11 38 52 100 203 240—243
Force, thermodynamic 2 6
Fourier’s law 193
Fracture toughness 109 118 174
Frame 195
Francfoit, G. 145
Free-body diagram 4 9 82 95 114—116
frequency 156
Freund, L.B. 94 97 107 116 146 152
Functionally graded (or gradient) material (FGM) 121
Fung, Y.C. 207
Galilei, G. 1
Gao, H. 94 178 179 209 211 215 216
Gauss’ law of electrostatics 174
Gauss’ relationship 236
Gdoutos, E.E. 107 109
Gelfand, I.M. 20
Golebiewska-Hemnann, A. 77 79 93 113 145 233 234 237
Goodier, J.N. 51 58 60 92
Gould, P.L. 51
Griffith, A.A. 108 152
Gross, D. 94 107
Group (theory) VI 2 28 31 36
Group (theory), infinitesimal 67
Group (theory), symmetry 273
Guenther, W. 3 67 124 202
Gurtin, M.E. 4 143. 186
Halm, H.G. 51
Hamilton, W.R. 1
Hamiltonian 7 136—140 153—159 250 265
Hamilton’s principle 20
Heat, absorbed 180 182
Heat, conduction 161 180 193
Heat, specific 180
Herrmann, G. 77 81 90 93 97 100 101 113 123 134 136 140 143 146 177 178 179 180 186 202 207 209 211 215 216 228
Hilbert’s assertation 29
Hoff, N.J. 171
Hole-dislocation interaction 100—106
Homogeneity, homogeneous 1—8 19 36 54 61 66—77 81 86 96 98 113 116 124—133 138 144 171 178 202 226—228 240 250 255 263 270 275
Honein, T. 4 42 101 123 161 162
Hooke’s law 55—61 65 75 88 146 196 239
Hubbart, J.H. 89
Ilschner, B. 121
inclusion V 1 3 6 11 81 92 95 104
Inertia (term) 133 146 149 154 245 252 260 269
Inertia (term), rotatory 220 245
Infinitesimal generator 26 30 35 264 273
Influence surface 106
Inhomogeneity, inhomogeneous 70 121—129 146—154 177 195—202 222—226 239—272
Inhomogeneity, inhomogeneous, material 9 57 66 96 146 225
Inhomogeneity, inhomogeneous, physical 56 66 225
Initial condition 137 144 223
Integral, domain-independent 68 134 146 228
Integral, path-independent 2 70 81 95—113 121—128 143—146 161 169 173 178 186 224 233 259 271
Integrating factor 76 f. 138
Interaction, electromechanical 174
Invariance, invariant VI 5 13 28 63 172 219 229
Invariance, invariant, condition 29 f. 32 37 63 122
Invariance, invariant, under group action 13
Invariance, invariant, under reparametrization 4
Invariants 55 81 86—91 101
Inverse deformation 79
Involution correspondence 101
Irwin relation 108 210
Irwin, G.R. 107 108
Isotropy, isotropic 1 6 55 67—73 145 149 220 227 236
J integral 2 f. 70 72 81 96 107—118 121—132 145 154 171 173 178 185 209 226 230 271
Jet (bundle) space 13 26 35
Jump in compliance 206
Jump in stiffness 206
Jump, term 206 208
Kanninen, M.F. 107
Kelvin — Voigt model 165 168
Khutoryansky, N.M. 177
Kienzler, R. 70 81 90 93 97 100 101 109 113 130 140 143 172 186 202 207 209 211 233 234 237
Kinematic (relation) 52 58 61 130 197 223 234 239
Kirchhoff, G.R. 220
Kirchhoff’s, condition 220 223
Kirchhoff’s, ersatz-shear force 231
Knott, J.F. 209
Knowles, J.K. 3 67 124
Koehler, J.S. 102
Koiter, W.T. 212 213 214 215 219
Kordisch, H. 70 101 113
Kraetzig, W.B. 219
Kroener, E. 5
Kronecker symbol 32
Kumei, S. 172
L integral 3 70—72 81 96—100 111 115 124 142 227 231 271
Lagrange, J.L. 1
Lagrangian (density or function) 3 13 19—48 51 56—77 121 134 146—161 172 186 200 202 219—236 245 252 259—271
Lagrangian (density or function), null 42—44 48
Lamb, H. 141
Lame, G. 195
Lame’s constants 55 f. 122 168—170 180
Laplace transform 146
Legendre transformation 176
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