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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
Direct solution      578 609 610
Direction cosine array inverse      630
Direction cosine array transpose      630
Direction cosines      640
Directional mesh refinement      425
Disc: rotating      196 237
Discontinuities, load      505
Discontinuity      279
Discontinuity, element      33
Discontinuous Galerkin method      361 494 500
Discontinuous slope      43
Discontinuous stress approximation      286
Discrete analysis      16
Discrete coupled system      549
Discrete elements      1 18
Discrete pressure equation      336
Discrete system      1 2 14
Discrete variables      1
Discretization      1 71
Discretization error      32
Discretization, finite element      143
Discretization, partial      55
Displacement      635
Displacement compatibility      8
Displacement continuity      347
Displacement field      87
Displacement formulation      19
Displacement frame, interface      350
Displacement function      18 87
Displacement gradient      628
Displacement potential      556
Displacement shape functions      348
Displacement, prescribed      348
Displacement, radial      112
Displacement, virtual      24 55
Displacements: nodal      8 88
Displacements: prescribed      10
Displacements: rigid body      31 352
Displacements: SPR for      383
Distorted four-noded element      651
Distorted Lagrangian elements      216
Distorted serendipity elements      216
Distorted triangular prism      213
Distortion: gross      204
Distortion: violent      204
Distributed body forces      23 119
Distributed bubbles (cavitation)      556
Distributed loads, nodal forces      5
Dixon, J.R.      234 247
Doctors, L.J.      159 163
Doherty, W.P.      179 198; 266 269 275
Dolbow, J.      430 453 465
Domain element, polygonal      356
Domain integral      355
Domain of influence      435 438
Domain: analysis      245
Domain: continuum      1
Domain: L-shaped      368 413 416 420
Domain: space-time      494
Domain: square      412
Domain: time      495
Domains overlap      543
Domains: infinite      229
Domains: interpolation      435
Domains: multiple      542
Domains: overlapping      544
Dome, hemispheric      238
Double summation (numerical integration)      221
Douglas, J.      287 305
Driven cavity problem      338 340
Duarte, A.      430 444 445 453 465
Duarte, C.A.      430 457 458 459 463 464 465 466
Duff, I.S.      464 466
Dummy index      629
Dungar, R.      153 162; 362
Dunham, R.S.      279 305
Dunne, P.C.      168 169 198
Dyke foundation      563
Dynamic analysis, implicit-explicit      545
Dynamic eigenvalues, damped      484
Dynamic equation, average      512
Dynamic memory allocation      579
Dynamic problems      468
Dynamically dimensional arrays      578
Dynamics: explicit      226
Dynamics: soil      544
d’Alembert principle      471
E: Young's Modulus of elasticity      23 35 36 90—94 116—117 131—132 583 632
Earthed trough      155
Earthquake      562
Earthquake forcing motion      556
Earthquake motion      557
Earthquake, simulated      563
Effective stress      103 558
Effectivity index      386 392 393 413
Effects, surface wave      555
Eigenpairs, real      489
Eigenproblem      336 394 485
Eigenvalue computations      604
Eigenvalue participation factors      494
Eigenvalue problem      625
Eigenvalue problem, standard      479
Eigenvalues      476 478 494 518 550
Eigenvalues, damped dynamic      484
Eigenvalues, real      477
Eigenvalues, zero      460
Eigenvector      478 489 494 625
Eiseman, P.R.      139 139; 247; 427
Elastic bars      2
Elastic constants      91
Elastic constants, Lame      604 632
Elastic constitutive equations      631
Elastic foundation      268
Elastic foundation, string on      450 455
Elastic membrane      268
Elastic wave propagation      520
Elasticity      284 395 458
Elasticity matrix D      90 317 366
Elasticity, anisotropic      309
Elasticity, incompressible      309 323 334
Elasticity, linear      4 39 459
Elasticity, two-field incompressible      308
Elastodynamics      494
Electric conductors      156
Electric current      155
Electric potential      140
Electrical networks      10
Electrical resistance      11
Electromagnetics      155 482
Electrostatic potential      155
Electrostatics      153
Element analysis      576
Element array computations      598
Element boundary, internal      256
Element connection      578 583 585
Element damping matrix      471
Element data      597
Element discontinuity      33
Element invariance      580
Element mass matrix      471
Element matrix      192 211
Element matrix, singular      225
Element modes: singular      256
Element modes: zero energy      256
Element partition      566
Element patch      285 384 391;
Element residual      606
Element residual error estimator      388
Element residual, recovery by      392
Element robustness      273 304
Element routines      607
Element routines, multiple      583
Element shape functions      165—198
Element singularities, local      226
Element size, required      405
Element stiffness calculation      602
Element stiffness matrix      5 471 604
Element stiffness matrix computation      599
Element subdivision      59 402
Element subdivision, automatic      226
Element test, single      255
Element-free Galerkin method      429 430 453
Element: damping      548
Element: distorted four-noded      651
Element: enhanced strain      296
Element: general triangular      182
Element: incompatible      264
Element: line      183
Element: linear      185
Element: non-robust      252
Element: Pian — Sumihara      343
Element: polygonal domain      356
Element: quadratic      185
Element: quadratic triangular      460
Element: Simo — Rifai      343
Element: tetrahedral      127 128
Element: triangular      20 87
Elements of area      641
Elements of volume      641
Elements: blocks of      583
Elements: boundary      356 359
Elements: boundary Trefftz-type      357
Elements: brick-type      132
Elements: composite      134
Elements: convergence of      213
Elements: cubic      186
Elements: diffuse      453
Elements: discrete      1 18
Elements: distorted Lagrangian      216
Elements: distorted serendipity      216
Elements: exterior      356
Elements: hierarchical brick      193
Elements: hierarchical rectangle      193
Elements: hierarchical tetrahedron      193
Elements: hierarchical triangle      193
Elements: hybrid-stress      355
Elements: infinite      157 229
Elements: interior      356
Elements: irreducible      282 342
Elements: isoparametric      355
Elements: linear      183
Elements: mapped      200
Elements: non-conforming      33 250
Elements: one-dimensional      183
Elements: patch of      377
Elements: rectangular      168
Elements: singular      235
Elements: singularity      200
Elements: superparametric      207
Elements: suspect      261
Elements: tetrahedral      186
Elements: three-dimensional      184
Elements: Trefftz-type      356 358 359
Elements: triangular prism      189
Elements: two-dimensional      168
Elias, Z.M.      304 306
Elimination of internal variables      177
Elimination of singularities      226
Elimination: direct      72
Elimination: forward      611
Elimination: Gaussian      577 578
ELMLIB (Element Library)      608
Elongation      7
Elongation, relative period      532
Ely, J.F.      149 162
Emson, C.      229 233 247
Energy bound      30 34
Energy conservation      7
Energy functional      372
Energy loss, radiation      550
Energy norm      366 386 387 405
Energy principle, complementary elastic      302
Engelman, M.S.      319 344
Enhanced strain element      293 296
Enhanced strain stabilization      329 338
Equation: adjoint differential      645
Equation: average dynamic      512
Equation: characteristic      484 554
Equation: conservation      276
Equation: continuity      160 546 557
Equation: convective diffusion      69
Equation: damped wave      470
Equation: discrete pressure      336
Equation: equilibrium      471
Equation: first-order      495
Equation: heat      592
Equation: Helmholtz      470 482 546
Equation: hyperbolic      468
Equation: Laplace      140—161 333 337 555
Equation: Maxwell's      155
Equation: parabolic      468
Equation: Poisson      140—161 333 360 381 412
Equation: quasi-harmonic      140—161 276
Equation: Reynolds      157
Equation: second-order      508
Equation: wave      481
Equations: assembly      13
Equations: constraint      320
Equations: coupled      560
Equations: differential      1
Equations: elastic constitutive      631
Equations: equilibrium      10 55 303 332 635
Equations: Euler      62 63 75
Equations: linear algebraic      577
Equations: non-linear algebraic      594
Equations: non-linear differential      66
Equations: ordinary differential      56
Equations: quasi-harmonic      360
Equations: self-adjoint differential      66
Equations: singular      77
Equations: slope-deflection      37
Equations: symmetric      278
Equations: system      14
Equilibrated element residual estimator      387 388 394
Equilibrating form subdomains      353
Equilibrating stresses      354
Equilibrium and energy      630
Equilibrium conditions      19 284 302
Equilibrium equations      10 55 303 332 471 635
Equilibrium equations weak form      53
Equilibrium, overall      8
Equivalent nodal forces      23
Ergatoudis, J.G.      3 128 139; 172 174 185 198 198 199; 239 248
Eriksson, K.      500 540
Error estimates by recovery      385
Error estimation      33 251 365 401 500
Error estimator      405
Error estimator, a posteriori      385
Error estimator, element residual      388
Error estimator, energy norm      386
Error estimator, equilibrated residual      388 394
Error estimator, explicit residual      387
Error estimator, global      421
Error estimator, implicit residual      387
Error estimator, residual      387
Error estimator, residual based      365 392
Error magnitudes, permissible      401
Error norms      365
Error: approximation      499
Error: average stress      401
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