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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
Cooling tower, analysis example      233
Coordinates: cartesian and curvilinear relation      269
Coordinates: curvilinear      128 244 268
Coordinates: local and global      220
Coordinates: use of      3
Cormeau, I.C.      79 81 82 91 108
Corner nodes      124
Corner supported square plate      136
Cornes, G.M.M.      157 171
Cosines: direction      221 224
Cosines: normal direction      225
Cowper, G.R.      123 154 168; 241
Cozzarelli, F.A.      3 20; 106; 242; 317 328 338 339 341 360; 436
Cramer, H.      308 311
Crash analysis      18
Creep compliance      40
Creep law, Norton — Soderberg      81
Creep problems: basic formulation of      75
Creep problems: fully explicit solutions      77
Creep strain      78
Creep, in metals      80
Creus, G.J.      347 362
Crisfield, M.A.      28 29 31 34 36 37; 171; 214; 364; 395
Criterion, constant strain      132
Cross derivatives      123
Cross, D.K.      162 171
Cubic axisymmetric shell elements      277
Cubic elements      179
Cubic expansion      129
Cubic functions      130
Cubic Hermitian interpolations      296
Cubic interpolation      161
Cubic lagrangian interpolation      188 286
Cuomo, M.      347 363
Curnier, A.      347 355 362 363
Current configuration      312
Current configuration formulation      324
Current deformed configuration      314
Current stiffness parameter      35
Curved dams      283
Curved elements      244 251
Curved elements, properties      254
Curved elements, shape functions for      252
Curved elements, strain expressions for      254
Curved shells      267
Curved shells, polygonal shape approximation      249
Curved, isoparametric hexahedra      267
Curvilinear coordinates      128 244 268
Curvilinear coordinates, relation with cartesian      269
Curvilinear elements      262
Cusens, A.R.      297 309 310
Cwertny, A.J.(Jr.)      308 311
Cylinder: edge loaded      282
Cylinder: thick-walled, subject to internal pressure      46
Cylindrical billet, upsetting of      356
Cylindrical shells      250 281
Cylindrical vault      282
Cyr, N.A.      78 107
Cyrus, N.J.      124 169
Da Deppo, D.A.      371
Dahlquist, G.      24 36
Damllano, G.      396 411
Damping effects, with GN22 algorithm      424
Dams, curved      283
Darve, F.      68 106
Davidon, W.C.      28 36
Davies, J.D.      297 310
Dawe, D.J.      124 128 168; 230 231 308 310
de Borst, R.      84 91 93 108 109
DeAndrade, J.C.      308 311
Defalias, Y.      70 106
Definitions, strains and stresses      271
Deformation: behaviour of solids      137
Deformation: Cauchy — Green      338
Deformation: deformation analysis      349
Deformation: deformation gradient      315 316 321 344
Deformation: deformation tensors      316 328
Deformation: equations for      314
Deformation: finite      312
Deformation: polar decomposition of      398
Deformation: process of      319
Deformation: thin case axisymmetric shell      303
Deformation: thin plates      112
Deformed configuration      312
Degrees of freedom      see DOF
Del Guidice, S.      14 21
Delcourt, C.      308 310
Delpak elements      260
Delpak, R.      244 252 254 258 259 260 264
Delta weighting, Dirac      189
Demmel, J.      24 36; 430
Dennis, J.E.      28 36
Desai, C.S.      82 108
Deviatoric term      42
Dhalla, A.K.      72 107
Dhatt, G.      31 37; 162 170 171; 240; 393
Dhatt, G.S.      144 170 196 214
DhiIlon, B.S.      200 214
Differential equations: forth order      112
Differential equations: model      41
Dill, E.H.      384 393
Dinno, K.S.      75 107
Dirac delta weighting      189
Direct elimination      159
Direct iteration      29
Direct iterative methods      34
Direction cosines      221 224
Discontinuity and slip lines      95
Discontinuity capture      95
Discontinuous deformation analysis (DDA)      397
Discontinuous S interpolation      182
Discrete collocation constraints      187 192
Discrete exact thin plate limit      202
Discrete Kirchhoff constraints      158
Discrete Kirchhoff theory (DKT) elements      161 188 194 196
Discretization      4 71 121 176 202
Discretization, error of      33 216
Discretized equilibrium equation      77
Displacement approximation equations, plates      121
Displacement boundary conditions      318
Displacement boundary restraints      73
Displacement control      31
Displacement field      270
Displacement formulation: plates      122
Displacement formulation: use of      9
Displacement functions      124 305
Displacement functions, multiplicative type      305
Displacement increment      166
Displacement-based finite element models      327
Displacements: finite element approximations to      5
Displacements: global      276
Displacements: global nodal      254
Displacements: tangential      256
Distributed loads      294
DKT (discrete Kimhhoff theory) elements      161 188 194 196
Doan, D.B.      396 410
Doblare, M.      367 392
DOF: 12      124 144
DOF: 16      144
DOF: 18      148 153
DOF: 21      124 144 153
DOF: 6      133 225
DOF: 9      128 144
Dome spherical      257
Dome spherical under uniform pressure      281
Dong, S.B.      200 214; 311
Draper, J.K.      123 167
Drilling rotational stiffness      225
Drucker — Prager yield conditions      62
Drucker, C.D.      51 62 104 106
Duncan, W.      123 168
Dupuis, G.      217
Duvaut, G.      79 80 107
Dvorkin, E.N.      188 189 191 213; 287
Dworsky, N.      111 167
Dynamic buckling, computer programs for      428
Dynamic relaxation methods      34
d’Alembert principle      323
Ealer buckling, propped cantilever      374
Earthquake response, soil structures      19
Edge loaded cylinder      282
Edwards, G.      157 171; 241
Eigenfunctions      306
Eigenproblem      342
Eigensolutions, computer programs for      425
Eight-node serendipity element      286
Elastic bulk modulus      41
Elastic calculations      87
Elastic constitutive equations, rate form      345
Elastic deformation in joints      407
Elastic material, isotropic      300
Elastic moduli, isotropic material      340
Elastic modulus matrix      61
Elastic shear modulus      42
Elastic stability, energy interpretation      373
Elasticity matrix      55 245 272
Elasticity: as a variational problem      320
Elasticity: isotropic for plates      118
Elasticity: isotropic, and finite deformation      338
Elasticity: three-dimensional      155
Elasto-plastic behaviour      343
Elasto-plastic deformations: localization in      88
Elasto-plastic deformations: non-uniqueness in      88
Elasto-plastic matrix      55
Elasto-plastic modulus matrix      56
Elasto-plastic slope      99
Elasto-plastic solutions      249
Elasto-viscoplastic material      78
Elements: assembly of      219
Elements: axisymmetric shell      246
Elements: bilinear      179
Elements: choice of      230
Elements: constrained      155
Elements: cubic      179
Elements: curved      244 251
Elements: curvilinear      262
Elements: Delpak      260
Elements: discrete collocation constraints      187 192
Elements: discrete Kirchhoff triangular plate element      226
Elements: eight-node serendipity      286
Elements: enhanced mode      196
Elements: equilibrium      157
Elements: failure of      183
Elements: finite      251 329
Elements: geometric definition of      268
Elements: heterosis      180
Elements: Hinton — Huang      191
Elements: hybrid      157
Elements: integration      184
Elements: isoparametric quadratic      75
Elements: isoparametric three dimensional      174
Elements: joints      86
Elements: Kelvin      40
Elements: linear beam and plate      261
Elements: linear triangular      198
Elements: matrix notation      334
Elements: method for shells      217
Elements: mixed      155
Elements: parabolic-type      297
Elements: parallelogram      128
Elements: Pian — Sumihara      199 334
Elements: plane element stiffness      218
Elements: plate      157
Elements: plate bending      183
Elements: quadratic fully integrated (QS)      179
Elements: quadratic of Huang and Hinton      189
Elements: quadratic T6S3B3      196 369
Elements: quadrilateral      128 148 201
Elements: quadrilateral mixed      185
Elements: quartic and quintic      154
Elements: quasi-conforming      150
Elements: rectangular quadrilateral      209
Elements: rectangular with collocational constraints      192
Elements: rotation-free      162
Elements: rotational bubble modes      196
Elements: serendipity eight-node      286
Elements: serendipity quadratic      179
Elements: shell properties and transformations      272
Elements: shells with displacement and rotation      266
Elements: smoothed      150
Elements: strain and virtual strain in      10
Elements: superparametric      271
Elements: thick plate theory limitations      203
Elements: transformation to global coordinates      219
Elements: Trefftz-hybrid      158; see also Finite element; Triangles/triangular elements
Elements: use of      72
Elements: with mid-side slope connections only      230
Elias, Z.M.      244 265
ELMTnn computer element module      413
Elongation strain      91
Elsawaf, A.F.      34 37
Embankment under gravity      83
Energy function, stored, Saint — Venant — Kirchhoff model      320
Energy interpretation, elastic stability      373
Energy norm      144
Energy norm error      95
Energy norm error, estimates and adaptive refinement      93
Energy: constrained potential principle      193
Energy: minimum potential      162
Energy: transverse shear      189
Enhanced modes      196
Enhanced strain methods      332
Enhanced strain mode      248
Enthalpy      14
Eqnilibrating stress field      157
Equations: deformation      314
Equations: differential      41 112
Equations: discretized equilibrium      77
Equations: displacement approximation, plates      121
Equations: elastic constitutive, rate form      345
Equations: equilibrium      3 6 163 225 317 371
Equations: Euler, for static equilibrium      321
Equations: finite element convergence      60
Equations: finite elements, plates      121
Equations: fourth-order differential      112
Equations: Galerkin (variational)      10
Equations: inelastic constitutive      12
Equations: integral model      43
Equations: kinematics and deformation      314
Equations: non-linear algebraic      22
Equations: of rigid body motion      399
Equations: plate equilibrium      115
Equations: plate problem      113
Equations: Prandtl — Reuss      63
Equations: singular systems      182
Equations: strain-displacement, mixed form      11
Equations: stress measures      316
Equations: tangent system      32
Equations: traction measures      317
Equations: virtual work      5
Equilibrium elements      157
Equilibrium equation      3 163 225 317 371
Equilibrium equationresidual form      6
Equilibrium, weak form for      4
Equivalence, discontinuous S interpolation      182
Ericksen, J.L.      433 434 436
Erratic yielding      249
Error indicators, alternative refinement using      95
Errors, from incomplete solutions      33
Euler (explicit) method      79
1 2 3 4 5 6 7
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