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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
Euler column      1
Euler equations, for static equilibrium      321
Euler implicit schemes      36
Evaluation, tangent matrix      379
Falk, R.S.      186 197 198 213
FEAPpv computer program      413 418
FEAPpv computer program and eigensolutions      425
FEAPpv computer program and static and steady-state problems      418
FEAPpv computer program, example problem solutions      429
FEAPpv computer program, restart option      428
Felippa, C.A.      123 124 132 144 149 154 168 169 170; 242
Feshbach, H.      292 309
Field problems, non-linear quasi-harmonic      12
Field, displacement      270
Fine element solution      377
Finite angle solution      373
Finite deformation      1 312
Finite deformation, material constitution for      338
Finite deformation, mixed-enhanced      332
Finite deformation, plasticity model      358
Finite deformation, problems      313 319
Finite deformation, three-field mixed      328
Finite deformation, variational description      319
Finite elasticity, variational theorem for      320
Finite element analysis, computer procedures      413
Finite element approximations      163 322
Finite element contact      348
Finite element discretization      4
Finite element equation convergence      60
Finite element equations, plates      121
Finite element evaluation, strain-displacement matrices      378
Finite element forms, use of      9
Finite element formulation      326
Finite element method      22
Finite element model, construction from      400
Finite element processes      289
Finite elements in hemispherical shells      251
Finite precision arithmetic      33
Finite strip method      289 297
Finite strip method, incomplete coupling      305
Finite strip method, semi-analytical      305
Finite strip method, spline finite strip      305
Finnie, I.      81 108
Firmin, A.      244 257 258 259 264
First order problem solution using GN11      420
Fish, J.      90 109
Fixed boundary conditions      119
Fletcher, R.      34 37
Flexible bodies, connected to a rigid body      402
Flow rule (normality principle)      51
Fltigge, W.      216 240
Fluid dynamics, high speed      95
Folded plate structure, analysis example      237
Foo, O.      297 306 310
Forces dependent on deformation-pressure loads      336
Forces: external      127
Forces: in-plane      244
Forces: membrane      244
Forces: nodal      127 337
Forces: pressure load      336
Ford, R.      123 154 168
Formulae: Gauss — Lobatto-type      165
Formulae: Gaussian quadrature      274
Formulae: recursion      46
Formulae: Sherman — Morrison — Woodbury      69
Formulations: continuum rate      55
Formulations: current configuration      324
Formulations: displacement, plates      9 122
Formulations: finite element      326
Formulations: free of locking      330
Formulations: irreducible      112 173 176
Formulations: isoparametric      255
Formulations: isotropic elasticity      338
Formulations: Kirchhoff      194
Formulations: large displacement with small rotations      370
Formulations: mixed      155 173 180 332
Formulations: non-associated      89
Formulations: non-linear      6 379
Formulations: plates displacement      122
Formulations: reference configuration      320
Formulations: reference configuration for      320
Formulations: small rotations, large displacement      370
Formulations: steady-state non-linear problems      6
Formulations: thick plates      180
Formulations: three-field mixed finite deformation      328
Formulations: use of      9
Foundation with eccentric loading      100
Fourier components/series      290 292 294
Fourier expansion      297
Fox, D.D.      218 241; 287; 393 394
Fox, R.L.      123 144 168; 240; 393
Fraeijis de Veubeke, B.      123 132 149 150 156 167 168 170; 200 213; 360; 392
Frames, definition      1
Francavilla, A.      347 361
Frederick, C.O.      53 105
Freezing moist soil      14
Frey, F.      217 241
Frictional materials, non-associative case      68
Frictionless conditions      348
Frictionless contact      352
Fried, I.      123 154 168
Frustra, conical      246 247
Fulton, R.E.      124 169
Functions: beam      153
Functions: blending mesh generation      358
Functions: conforming shape      148
Functions: cubic      130
Functions: displacement      124 305
Functions: eigenfunctions      306
Functions: energy, stored, Saint — Venant — Kirchhoff model      320
Functions: Hermitian rectangular shape      151
Functions: Huber — von Mises yield      62 67
Functions: internal shape      256
Functions: least square substitute shape      151
Functions: linking, derivation of      200
Functions: mesh generation, blending      358
Functions: non-conforming shape      124
Functions: orthogonal      289
Functions: penalty      261 350
Functions: Saint — Venant — Kirchhoff model      320
Functions: serendipity      201
Functions: shape      112 124 129 145 208 290
Functions: shape for curved elements      252
Functions: shear relaxation modulus      43
Functions: spline      306
Functions: stored energy      340
Functions: stress      302
Functions: substitute shape      150
Functions: viscoelastic relaxation      46
Functions: yield      50
Galerkin (variational) equations      10
Galerkin form      319 353
Galerkin method      321
Galerkin procedures      13 181
Galerkin process      176
Galerkin statement, variational      137
Galerkin weighting approximations      156
Gallagher, R.H.      72 82 107 108; 240 241; 265; 393
Galvanetto, U.      359 364
Garcia Orden, J.C.      398 411
Gauss points      183 194 204 262 278
Gauss points, quadrature      160 248 274
Gauss — Lobatto-type formulae      165
Gaussian integration      180
Gelder, D.      101 110
Gellately, R.A.      386 393
General constitutive models      9
Generalized Maxwell model      41 43 44
Generalized Maxwell solid      39
Generalized plasticity: $J_2$ model      71
Generalized plasticity: forms      69
Generalized plasticity: non-associative case      68
Geometric definition of elements      268
Geometric matrix      383
Geometric modelling      348
Geometric non-linearity behaviour      1
Geometric stiffness      3 328
Geometric tangent      332 371
Geometric vector algebra      223
Geometrically exact specialization      367
Geometrically non-linear problems      312
Geradin, M.      28 36; 410
Gere, J.M.      375 392
Ghali, A.      297 309 310
Ghionis, P.      34 37
Giannini, M.      244 255 257 258 259 264
GID computer program      430
GiD, CIMNE      430 431
Gill, S.S.      75 107
Giroux, Y.M.      217 240
Glaser, S.      332 360
Global and local coordinates      220
Global displacements      276
Global nodal displacements      254
Global strains      276
GN11 and Newmark (GN22) algorithms      13 419
GN22 method      6 13 419 424
Goal, J.J.      154 170; 241
Goicolea, J.M.      398 411
Goldstein, H.      404 412
Golub, G.H.      69 106; 412; 430
Gonzalez, O.      359 364
Goodlet, J.N.      3 20; 310
Goodman, R.E.      88 108
Goudreau, G.L.      36; 39 45 46 104; 362
Gould, P.L.      244 255 264
Govindjee, S.      347 355 362; 431
Grafton, P.E.      244 248 250 251 303 304 310
Gray, N.G.      286 287
Green strain matrices      321
Green strain tensor      316
Green — Lagrange strain      368 369 376 381 387
Green — Lagrange strain, non-zero      370
Greenbaum, G.A.      77 107
Greene, B.E.      157 171; 240 241
Griemann, L.F.      200 214
Gross, B.      39 104
Gruttmann, F.      210 215; 287; 394; 411
Guex, L.      144 157 158 170
Gunderson, K.      144 162 170
Guo, D.J.      308 311
Gurtin, M.E.      314 317 338 360; 411
Haisler, W.E.      72 107; 162 170; 265
Hallquist, J.O.      347 362; 404 407 410
Hanssen, L.      124 132 169
Hardening: hardening/softening rules      52
Hardening: isotropic      51 52
Hardening: kinematic      51 52 55
Hardening: non-associative      53
Hardening: plastic material      48
Harou, M.      179 212
Hartz, B.J.      385 393
Harvey, J.W.      156 157 170
Hatter, R.H.      226 227 242
Haug, E.J.      396 410
Heat conduction, transient      14
Heegaard, J.-H.      347 351
Heege, A.      355 363
Hellan, K.      157 170
Heller, W.R.      81
Hellinger — Reissner principle      156
Hemispherical shells      251
Henshell, R.D.      124 157 169 171
Hermitian interpolations      247 253
Hermitian polynomials      296
Hermitian rectangular shape function      151
Herrmann, approximations      156
Herrmann, L.R.      45 104; 157 170; 241
Hertzian contact      348
Hestenes, M.      34 37
Hibbitt, H.D.      14 21; 361
High-speed fluid dynamics      95
Hildebrand, F.B.      57 105
Hill, R.      51 89 104
Hilton, H.H.      48 104
Hinton — Huang elements      191
Hinton, E.      34 37; 57 105; 185 188 189 190 191 212 213; 287; 310
Hirschberg, M.H.      77 107
History dependent paths      48
Ho, L.W.      144 169; 196 213 214
Hobbs, R.E.      17 21; 37
Hoffstetter, G.      84 108
Hogge, M.      28 36
Homogeneous fields      157
Homogeneous motion      397
Homogeneous plates      158
Hoop stresses      284
Hrabok, M.M.      144 169
Hrudey, T.M.      144 169
Hsiao, K.-M.      390 394
Hu — Washizu functional      162
Huang, H.C.      93 96 109 110; 189 190 191 213; 287
Huber — von Mises flow rule      72
Huber — von Mises yield conditions/function      62 67
Huber — von Mises-type materials      166
Huehlhaus, H.B.      91 93 109
Hughes, T.J.R.      11 21; 51 53 56 59 66 68 79 80 89 104 107; 169; 180 182 184 185 188 200 212 213 214; 229 242; 265; 287; 344 346 347 358 360 361 362
Hulbert, G.M.      396 411
Humpheson, C.      82 108
Hung, H.-C.      390 394
Huston, R.L.      396 411
Hybrid elements      157
Hyperelastic material      313
Hyperelasticity      338
Ibrahimbegovic, A.      226 230 242; 392; 411
Idelsohn, S.      28 36
Identity matrix      28
Impenetrability condition      347
In-plane forces      244
In-plane stress action      218
Increment size      35
Incremental return map form      65
Incremental-secant method      26
Independent slope-displacement interpolation      261
Induction time      15
Inelastic behaviour, shells      279
Inelastic constitutive equations      12
Inelastic material behaviour      164 210
Inelastic materials      38
Initial conditions      319
Initial stress matrix for plate bending      381
Initial stress method      26
Initial stress process      84
Initial stress stiffness      3
Instability, bifurcation      384
Integral equation model      43
Integration elements      184
Integration order      278
Integration: gaussian      180
Integration: numerical      274
Integration: reduced (selective)      182
Integration: through-thickness      165
Internal shape functions      256
Interpolations: boundary-type      189
Interpolations: cubic      161
Interpolations: cubic Hermitian      296
Interpolations: cubic lagrangian      188 286
Interpolations: four-term      199
Interpolations: Hermitian      247 253
Interpolations: independent slope-displacement      261
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