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Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 2, Solid mechanics)
Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 2, Solid mechanics)

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Название: The finite element method (vol. 2, Solid mechanics)

Авторы: Zienkiewicz O.C., Taylor L.R.

Аннотация:

In the years since the fourth edition of this seminal work was published, active research has developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume Two: Solid and Structural Mechanics is intended for readers studying structural mechanics at a higher level. Although it is an ideal companion volume to Volume One: The Basis, this advanced text also functions as a "stand-alone" volume, accessible to those who have been introduced to the Finite Element Method through a different route.


Язык: en

Рубрика: Математика/Численные методы/Конечные элементы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Fifth edition

Год издания: 2000

Количество страниц: 479

Добавлена в каталог: 20.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$J_2$ model: and volumetric plastic strain      68
$J_2$ model: with isotropic and kinematic hardening      63
$J_2$ 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      399
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: $C_0$ requirements, plates      156 159 177 182 188 262
Continuity: $C_1$ 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
1 2 3 4 5 6 7
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