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Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 1, The basis)
Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 1, The basis)



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Название: The finite element method (vol. 1, The basis)

Авторы: Zienkiewicz O.C., Taylor L.R.

Аннотация:

In the years since the fourth edition of this seminal work was published, active research has further 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 1: The Basis is intended as a broad overview of the Finite Element Method. Aimed at undergraduates, postgraduates and professional engineers, it provides a complete introduction to the method.
Volume 2 and Volume 3 of the Finite Element Method cover non-linear solid and structural mechanics and fluid dynamics respectively. Both are essential reading for postgraduate students and professional engineers working in these disciplines.


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: 707

Добавлена в каталог: 20.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Three-step algorithm      527
Tieu, A.K.      158 162
Time differential      468
Time discontinuous Galerkin approximation      536
Time domain      495
Time stepping scheme, fluid-structure      553
Time stepping, adaptive      500
Timoshenko, S.P.      22 38; 76 85; 99 111; 126; 139; 306
TINPUT      580 582
Todd, D.K.      470 491
Tolerance on residual      617
Tong, P.      50 85; 248; 355 362; 491; 647
Tonti, E.      66 85
Too, J.      318 344
Topp, L.J.      2 3 16; 111
Torsion of prismatic shafts      140
Torsion, rectangular shaft      148
Total permissible error      405
Total potential energy      29 349
Total stress      103
Touzot, C.      298 302 305
Touzot, G.      430 453 465
Toyoshima, S.      299 306 323 324 325 344
Tracey D.M.      234 236 247 248
Traction      284
Traction boundary      256
Traction boundary condition      356
Traction interface      349
Traction link: interface      346 349
Traction surface      549
Tractions      347 549
Tractions interface      346
Tractions, prescribed      352
Transfer coefficient      142
Transfer problem, heat      303
Transfer, complementary heat      301
Transform: fast Fourier      486
Transformation jacobian matrix      232
Transformation of coordinates      15
Transformation: contravariant      15
Transformation: coordinate      629
Transformation: z      518
Transformations      208
Transformer      157
Transformer, three-dimensional      158
Transient computations      604
Transient heat conduction      57 468 477
Transient heat conduction equation      470
Transient heating of bar      506
Transient problem      576
Transient recurrence algorithms      565
Transient response      477 486
Transient solution methods      592
Transient step-by-step algorithm      560
Transient step-by-step algorithms      551
Transpose of a matrix      622
Transpose of a product      623
Transversely isotropic material      91
Trapezoidal rule      218
Trefftz methods      346 356 358 359
Trefftz, E.      355 362
Trefftz-type elements, boundary      357
Trefftz-type solution      355
Treharne, C.      494 501 540
Trial function      3 60
Triangle elements, hierarchical      193
Triangle normalized coordinates      179
Triangle numerical integration      221
Triangle numerical integration formulae      222
Triangle shape functions      181
Triangle: cubic      182
Triangle: Pascal      171 173 186 215
Triangle: quadratic      182
Triangular decomposition      611 612 613 614
Triangular element      20 87
Triangular element, general      182
Triangular element, quadratic      460
Triangular matrix: lower      578
Triangular matrix: upper      578
Triangular prism elements      189
Triangular prism: distorted      213
Triangular prisms      190
Triangulation, Delauney      405
Tributary area      429
Triple product      642
Trough, earthed      155
Trowbridge, C.W.      154 162
True error      406
Trujillo, D.M.      569 574
Truncated gauss function      435
Truncated taylor series collocation      512
Truncation error      499 531
Truncation error, local      516
Turner, M.J.      2 3 16; 111
Two nodes, coalescing      236
Two point interpolation      525
Two-dimensional elements      168
Two-dimensional problem      145
Two-field incompressible elasticity      308
Two-field mixed formulation      284
Two-point recurrence formulae      497
Ultra convergence      380
Unconditional stability      497 501 511 519 521 565 567 569
Underground power station      108 110
Undetermined parameters      30
Undrained behaviour      561
Uniform stress field      98
Uniqueness of mapping      205
Unit diagonals      611
Unity: partition of      166 430 442 445 457
Universal shape function routines      236
Unreduced coefficient      611
Unsymmetric stiffness matrix      591
Upadhyay, C.S.      251 275; 392 393 394 398 400
Upper triangular matrix      578
User manual      582
Utku, S.      429 465
Uzawa algorithm      301
Uzawa method      323
Uzawa, H.      301 306; 344
Vahdati, M.      138 139; 247; 406 427
Vainberg, M.M.      66 85
Valley, anisotropic      102
Valliappan, S.      324 344
Vanburen, W.      234 248
Vapour pressure limit      556
Vardapetyan, L.      404 415 427
Varga, R.S.      2 3 17; 85
Variable band      588
Variational approaches      39
Variational forms      452
Variational functional      40
Variational methods      3
Variational Principle      60 83 143 277 291 352 353
Variational principle, complementary energy      302
Variational principle, constrained      70 76
Variational principle, contrived      61
Variational principle, general      75
Variational principle, Gurtin's      498
Variational principle, Hamilton's      498
Variational principle, Hellinger — Reissner      285 652
Variational principle, modified      74
Variational principle, natural      61 79 80
Variational theorem      316
Varoglu, E.      494 539
Vazquez, M.      326 335 345
Vector addition      638 639
Vector algebra      638
Vector multiplication      640
Vector potential      154
Vector product      210 640
Vector subtraction      639
Vectors components      638
Velocity      592
Velocity, angular      119
Velocity, virtual      55
Verfurth, R.      387 399
Vesey, D.G.      429 446 464
Vessel: axisymmetrical pressure      152
Vessel: nuclear pressure      137
Vessel: pressure      243
Vessel: reactor pressure      122
Vibration modes      550
Vibration of earth dam      481
Vibration: beam      481
Vibration: forced      551
Vibration: free      479 550
Villon, P.      430 443 453 465
Vilotte, J.P.      299 306; 324 325 344
Violent distortion      204
Virtual displacement      24 55
Virtual velocity      55
Virtual work      53 54 83 346 351 632
viscosity      157 471 476
Viscous flow, slow      320
Visser, W.      140 161; 491
Vogelius, M.      320 344
Voltage      12
Volume coordinates      186—190
Volume integral      117 209
Volumetric initial strains      324
Volumetric strain      308 316 317 559
Voronoi neighbour criterion      447 453
Vortices, shedding of      545
Wachspress, E.L.      217 246; 275
Wahlbin, L.B.      375 398
Walker, S.      356 361 363
Wall: flexible      551
Wall: inclined pile      150
Walpole, Horace      176
Walsh, P.F.      234 248
Washizu, K.      30 38; 74 85; 162; 304; 540
Wasow, W.R.      446 465
Water pressure: external      102
Water pressure: internal      102
Water tank, conical      237
Water/oil mixtures      565
Watson, J.O.      84 86
Watwood, V.B.      234 247
Wave effects, surface      555
Wave equation      481
Wave equation, damped      470
Wave equation, Helmholtz      470 482
Wave functions, harmonic      458
Wave propagation, elastic      520
Wave transmission      468
Waveguide problem      482
Waveguide, lunar      483
Waves: outgoing      548
Waves: surface gravity      547
Weak form      43 142 309 346
Weak form heat conduction      44
Weak form: coupled systems      548
Weak form: equilibrium equations      53
Weak patch test      267 270
Weak patch test satisfaction      255
Weak singularity      252
Weak statements      42
Weatherill, N.P.      139 139; 247; 427 428
Weight coefficient      220
Weight function: moving      438 439
Weight functions, miscellaneous      83
Weight: quadrature      650
Weighted least square fit      433
Weighted residual      55
Weighted residual finite element      495 508
Weighted residual method      42
Weighted residual p-step algorithm      528
Weighted residual procedures      1
Weighted residual process      75
Weighted residuals      3 40
Weighting coefficient      219
Weighting function      54 278 440 447 449 500 510 551
Weighting function, arbitrary      495
Weighting function, fixed      440
Weighting function, positive valued      79
Weighting method, Galerkin      451
Weighting parameter      406
Weighting: collocation      82
Weighting: Galerkin      284
Weiner, J.H.      545 572
Weiser, A.      387 388 391 399
Westergaard, H.M.      149 162
Westermann, A.      387 388 399
Wexler, A.      153 162
Wiberg, N.E.      348 362; 383 398 399 400; 540
Wild modes      263
Wilkinson, J.H.      479 491; 611 618
Williams, F.W.      490 492
Wilson algorithm      522
Wilson, E.L.      124 126; 198; 265 266 268 269 275; 485 490 491 492 498 521 522 532 540 541 606 611 618
Windows based systems      576
Winslow, A.M.      140 153 156 161
Wire, singing      545
Witherspoon, P.A.      160 163
Wolf, J.P.      355 361 362
Wong, K.      514 521 540
Wood, W.L.      494 498 504 516 520 521 529 539 541
Work: external      24
Work: internal      24 89
Work: virtual      53 54 83 346 351 632
Wroblewski, A.      356 363
Wu, J.S.-S.      326 333 345; 406 427; 574
Wyatt, E.A.      229 247
X-window applications      576
Xi Kui Li      299 306
Xie, Y.M.      564 574
Xu, K.      453 466
Yagawa, G.      464 467
Yamada, T.      464 467
Yamashita, Y.      405 427
Yan, N.      375 398
Yang, H.T.Y.      453 466
Yokobori, T.      234 247
Yoshida, Y.      355 362
Young's modulus, E      23 35 36 90—94 116—117 131—132 583 632
z transformation      518
Zarate, F.      453 466
Zero damping      521
Zero diagonal      294 323
Zero diagonal terms      73
Zero eigenvalues      460
Zero energy element modes      256
Zero energy modes      261 460
Zhang, Y.F.      464 467
Zhang, Z.      381 398 399
Zhong, W.X.      251 275
Zhu, J.Z.      97 111; 380 381 386 392 394 399 400; 404 405 406 409 415 420 421 424 426 427 428
Zhu, Q.D.      375 381 398
Zielinski, A.P.      356 361 363
Zienkiewicz, O.C.      3 17; 34 37 38; 77 78 81 82 85 86; 99 102 103 104 111; 126; 138 139; 149 153 154 155 161 162; 172 174 176 177 181 184 185 192 197 198 198 199; 229 233 235 237 239 244 245 246 247 248 249; 251 256 275; 277 279 282 287 292 299 304 304 305 306; 318 320 323 324 325 326 334 335 343 344 345 356 363; 380 381 383 386 387 392 393 394 397 399 400; 405 406 409 415 420 421 424 426 427 428; 447 457 458 465 466; 472 474 480 482 483 484 487 491 492; 498 499 505 521 539 540 541; 545 548 551 554 556 557 559 564 565 567 569 571 572 572 573 574 575; 576 600 618
Ziukas, S.      382 398 399
Zlamal algorithm      521
Zlamal, M.      224 246; 521 540
Zone: active      611
1 2 3 4 5 6 7 8 9 10 11
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