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Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 2, Solid mechanics) |
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Предметный указатель |
model: and volumetric plastic strain 68
model: with isotropic and kinematic hardening 63
plane stress 66
Abramowitz, M. 165 172
Acceleration of convergence 30
Accuracy, axisymmetric shells 244
Adams, M. 35 37
Adaptive analysis, plastic flow deformation 97
Adaptive refinement 93 211
Adaptive refinement, based on energy norm error estimates 93
Additional enhanced mode 248
Additional plastic potentials 88
Adini, A. 124 169
Aerospace structures 244
Ageing effects 42
Agelet de Saracibar, C. 355 363
Ahmad, S. 173 177 188 212; 224 241 242; 264; 270 274 275 280 284 286
Ahmed, H. 101 110
AI Mikdad, M. 367 392; 411
Alart, P. 347 355 363
Albasiny, E.L. 234 243
Alfrey, T. 48 104
Algebraic non-linear solutions, use of 8
Algorithms: BFGS 414 419
Algorithms: GN22 13 419 424
Algorithms: line search computer programs 414
Algorithms: line-search 414
Algorithms: Newton-type 415 417
Algorithms: return map 58
Algorithms: return map implicit 80
Algorithms: solution by 48
Allman, D.J. 157 158 171; 229 242
Allwood, R.J. 157 171
Almansi strain tensor 316
Alternative refinement using error indicators 95
Ambrosio, J.A.C. 396 411
Analogies: McHenry — Alfrey 48
Andelfinger, U. 286 287; 360
Anderson, C.A. 15 21; 103 110; 392
Anderson, R.G. 385 393
Ando, Y. 132 169
Angular momentum, balance of 4
Approximations: curved shells, polygonal shape 249
Approximations: displacement approximation, plates 121
Approximations: finite element 163 322
Approximations: finite element virtual displacements 5
Approximations: finite elements displacements 5
Approximations: Galerkin 156
Approximations: Galerkin weighting 156
Approximations: Herrmann 156
Approximations: pressure 11
Approximations: quadratic displacement 162
Approximations: shells, flat element 217
Approximations: thick plates 180
Approximations: volumetric strain 11
Arc-length controls 31
Arch dam, analysis example 231
Arch, clamped-hinged 371
Argyris, J.H. 123 124 129 154 168; 240; 395; 411
Arlett, P.L. 302 310
Armero, F. 91 109; 358 360
Armstrong, P.J. 53 105
Arnold 186 197 198 213
Arulanandan, K. 20 21
Ashwell, D.G. 217 241; 394
Associative plasticity 52 60
Assumptions: Kirchhoff — Love 245
Assumptions: Reissner — Mindlin 266
Assumptions: thick and thin plates 114 115
Asymptotic rates 34
Atluri, S.N. 396 411
Augmented Lagrangian form 351
Auricchio, F. 53 66 71 105; 199 200 203 213 214; 361
Axisymmetric body, torsion problem 300
Axisymmetric shells 217 244 387
Axisymmetric shells with non-symmetrical load 303
Axisymmetric shells, curved, thick 275
Axisymmetric solids, with non-symmetrical load 297
Babuska, I. 120 145 167; 208 213 214
Bagchi, D.K. 385 393
Bahrani, A.K. 302 310
Bakhrebah, S.A. 283 287
Baldwin, J.T. 162 171
Ballesteros, P. 139 169
Barrel vaults: analysis example 234
Barrel vaults: problem 230
Barut, A. 390 394 395
Bathe, K.-J. 28 36; 169; 185 188 189 191 196 213 214; 287; 355 362 363; 390 394; 425 426 431
Batoz, J.L. 31 37; 162 169 170 171; 214; 236 242; 393
Bauchau, O.A. 396 411
Bauer, J. 257 258 259 260 261 262 265
Bayless, A. 90 109
Bazant, Z.P. 90 91 92 93 109
Bazeley, G.P. 123 124 139 144 148 167
Beams: beam functions 153
Beams: definition 1
Beams: deformed configuration 367
Beams: large displacement theory of 365
Beams: one-dimensional example 159
Beams: stress resultants 113
Beams: two-dimensional theory of 366
Beams: with attached mass, numerical example 409
Behaviour: deformation of solids 137
Behaviour: elasto-plastic 343
Behaviour: geometric non-linearity 1
Behaviour: inelastic material 164 210
Behaviour: inelastic shells 279
Behaviour: laminates 88
Behaviour: limit loads 74
Behaviour: material non-linearity 1
Behaviour: non-linear elastic 48
Behaviour: path dependent 35
Behaviour: plastic 48
Behaviour: small deformation problems 3
Behaviour: softening behaviour 31
Behaviour: soil 83
Behaviour: solids, non-linear: geometric 1
Behaviour: solids, non-linear: material non-linearity 1
Behaviour: symmetric stress 164
Beisinger, Z.E. 217 241
Bell, K. 123 154 168
Belytschko, T. 90 91 217 241; 287; 362; 394
Bending strains, plates 117
Benson, D.J. 347 362; 404 407 410
Benson, P.R. 297 310
Bergan method/procedure 32
Bergan, P.G. 31 32 35 37; 132 169; 242; 388 393
Besseling, J.F. 53 105
Best, B. 88 108
Betsch, P. 210 215; 287; 394; 411
BFGS computer program algorithm 414 419
BFGS update 28
Bfichter, N. 210 215; 287
Bicianff:, N. 24 36; 70 84 90 105 106 108 109; 212
Biezeno, C.B. 388 394
Bifurcation 22
Bifurcation, instability 384
Bilinear elements 179
Bingham, E.C. 79 107
Birkhoff, G. 154 170
Bischoff, M. 210 215; 242; 287 288; 361; 394
Bittencourt, E. 347 362
Bjoerck, A. 24 36
Blaauwendraad, J. 84 108
Blending function mesh generation 358
Bognet, F.K. 123 144 168; 240; 393
Bonet, J. 314 317 328 333 338 345 360; 411
Bonnes, G. 217 240
Booker, J.R. 89 90 109
Boot, J.C. 156 170
| Boresi, A.P. 3 20
Boroomand, B. 94 110
Borri, M. 396 411
Bosshard, W. 123 154 168
Bottasso, C.L. 396 411
boundary conditions 291
Boundary conditions, constrained 184
Boundary conditions, displacement 318
Boundary conditions, fixed 119
Boundary conditions, mixed 120
Boundary conditions, plates 116
Boundary conditions, simply supported prism 295
Boundary constraints 187
Boundary integral terms 132
Boundary layers 250
Boundary traction 120
Bounding surface plasticity models 70
Bouzinov, P.A. 347 362
Box structures, thin membrane 295 297
Boxes, with flexure 296
Braess, D. 332 361; 394
Branching shell 260
Braun, M. 210 215; 287
Brebbia, C.A. 217 240; 376 383 386 390 392
Brekke, T. 88 108
Brezzi, F. 188 213 214; 229 242
Bridge with beams, skewed, curved 137
Bridge, railway 138
Brittle materials, special problems of 84
Brogan, F.A. 390 394
Bron, J. 156 170
Brown, T.G. 297 310
Broyden method 34
Broyden, C.G. 34 37
Bubble modes 187 196 198
Bucatem, M.L. 188 214
Bucciarelly, L. 111 167
Bucco, D. 308 310
Buckling 1
Buckling with large deflections 385
Buckling, Euler 374
Bushnell, D. 286 287
Butlin, G.A. 123 154 168
Cantilever, propped, Euler buckling 374
Cantin, G. 217 240
Cardona, A. 396 410
Carpenter, N. 217 241
Carr, A.J. 217 226 240
Carson, W.G. 385 393
Cartesian and curvilinear coordinates 269
Cartesian tensor form 3 4
Cassel, E. 17 21; 37
Cauchy stress 316 325 329 339 342 345
Cauchy — Green deformation tensor 316 338 342
Cazzani, A. 396 411
Cervera, M. 91
Chaboche, J.L. 53 105
Chadwick, P. 314 360
Chan, A.H.C. 19 20 21; 82 106 108; 128 133 169; 183 212
Chan, A.S.L. 244 257 258 259 264
Chan, H.C. 297 308 310
Chan, S.K. 347 361
Chan, Y.K. 385 393
Chang, C.T. 53 105
Chari, M.V.K. 101 110
Chaterjee, A. 156 170
Chattapadhyay, A. 386 393
Chaudhary, A.B. 188 189 191 347 355 362 363
Chawla, V. 347 359 362
Chen, A.J. 407 412
Chen, W.F. 51 53 104
Cheung, M.S. 297 309
Cheung, Y.K. 48 77 104 107; 124 126 132 139 144 148 167 168 169; 231 240; 305 306 307 308 309 310 311
Chiang, M.Y.M. 188 213 214
Chong, K.P. 3 20
Chou, P.C. 3 20
Christensen, R.M. 39 104
Church, K. 157 171
Ciarlet, P.G. 216 240
Cilia, M.A. 286 287
Cimento, A.P. 28 36
Circular bar, necking of 357
Circular plate, bending 262
Clamped edges, spherical dome 257
Clamped hinged-arch 371
Clamped plates 136 139 175
Clark, H.T. 396 411
Classical time-dependent plasticity theory 48
Closed loops, and joints 407
Clough and Toucher triangles 148
Clough, R.W. 123 124 144 149 167 168 169; 212; 226 232 240 242; 280 286; 388 393
Cohen, H. 396 397 410
Cohen, M. 179 182 184 185 212; 287
Collatz, L. 24 36; 431
Collocation constraints: element matrices 192
Collocation constraints: for triangular elements 194
Collocation constraints: quadrilaterals 187
Collocation constraints: relation to discrete Kirchhoff formulation 159 194
Comini, G. 14 21
Components, skew-symmetric stress 229
Composites, plates 118
Computed central deflection, square plates 136
Computer contour plot 139
Computer procedures, finite element analysis 413
Computer programs: FEAPpv 413 418 425 428 429
Computer programs: GID 430
Concentrated discontinuities 91
Condensation process 203
Condensation, static 249
Conical frustra 246 247
Connor, J. 217 240 241; 376 383 386 390 392
Conservation of linear momentum 399
Consistency tests, irreducible forms 186
Consistent tangent matrix 66
Constant isotropic hardening modulus 52
Constant strain 132
Constitutive law 84
Constitutive models 9 166 333
Constitutive relations, plates 118
Constrained boundary conditions 184
Constrained elements 155
Constraints: boundary 187
Constraints: discrete collocation 187 192
Constraints: discrete Kirchhoff 162
Constraints: Kirchhoff 158
Constraints: Kuhn — Tucker form 51
Constraints: Lagrange multiplier 405
Constraints: patch count and discrete collocation 188
Constraints: rotational 406 407
Constraints: translation 405
Constraints: triangles/triangular elements 194; see also Collocation constraints; Joints
Contact problems 313 347
Contact: frictionless 352
Contact: Hertzian 348
Contact: node-node 348
Continuity: requirements, plates 156 159 177 182 188 262
Continuity: requirements, plates 111 122 145 261
Continuity: cross derivatives 123
Continuity: difficulty avoidance 155
Continuity: patch tests 135
Continuum problems 314
Continuum rate formulation 55
Convective heat transfer coefficient 14
Convergence: and plate and shell problems 278
Convergence: criteria for 8 33
Convergence: non-conforming elements 124
Convergence: rate of 145
Convergence: study 263
Convergence: with Newton — Raphson method 25
Cook, R.D. 157 171; 212; 242; 286 287
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