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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
Solution: staggered      571
Solution: Trefftz-type      355
Solutions exact at nodes      645
Solvers, iterative      567
Sommer, M.      405 427
Soni, B.K.      139 139; 247; 428
Sound, speed of      546
Source listings      576
Southwell, R.V.      1 3 8 17; 84 85 86; 306
Space-time domain      494
Span, minimum      449
Sparse coefficient array      578
Sparse solution schemes      616
Specht, B.      268 275
Specification, material property      583
Spectral form      625
Spectral radius      532 536
Speed of sound      546
Sphere heat flow      122
Sphere: pressure loaded      121
Sphere: rotating      238 240
SPR (Superconvergent Patch Recovery)      377—383
SPR for displacements      383
Spring constant      268
Spurious mechanisms      252
Spurious mode      262
Spurious solutions      333
Square domain      412
Squeeze films      158
SS (Single Step), algorithms      495—521
SS11 algorithm      511 565
SS21 algorithm      519 520
SS22 algorithm      511 519 520 529 530 531 533 566 533 566
SS31 algorithm      520
SS32 algorithm      520 530
SS42 algorithm      530
SS42/41 algorithms      529
SSpj algorithm      508 514
Stability      282 354 499 501 519 553 555
Stability check      273
Stability condition      252 292 294 325 359 516
Stability criteria      317 352
Stability limit      518 571
Stability of general algorithms      516
Stability of mixed approximation      280
Stability polynomial      528 529
Stability properties      567
Stability requirements      337 494
Stability, conditional      497 501 566
Stability, higher order      520
Stability, local      538
Stability, unconditional      497 501 519 521 565 567 569
Stabilization: enhanced strain      329 338
Stabilization: pressure      332
Stabilized methods      307 326
Stabilizing terms      335
Stable: conditionally      511 571
Stable: unconditionally      511
Stagg, K.G.      99 102 111
Stagger      568
Staggered schemes      566 567 571
Stakgold, I.      76 85
Standard discrete system      2 14
Standard eigenvalue problem      479
Standard shape functions      166 384
Stanton, E.L.      35 38
Stationary point of functional      69
Steady-stage algorithm      594
Steady-state field problems      140
Steady-state heat conduction      41 149
Steady-state heat conduction-convection      41
Steady-state problems, linear      590
Steady-state solutions      562
Stegun, I.A.      217 219 246
Steinberg, S.      229 247
Step-by-step algorithm: transient      551 560
Stephenson, M.B.      405 427
Stepped pad bearing (lubrication)      157
Stiffness array      577
Stiffness calculation, element      602
Stiffness matrix      7 12 95 208 350 549 578
Stiffness matrix, 3D      132
Stiffness matrix, axi-symmetric      117
Stiffness matrix, element      5 471 604
Stiffness matrix, global      577
Stiffness matrix, unsymmetric      591
Stiffness, tangent      591
Stokes flow      318 335
Storage allocation      579
Storage operation, compact      585
Storage: array      588
Storage: heat      56
Storage: profile      615
strain      18 22 635
Strain constant      250
Strain element, enhanced      296
Strain energy      29
Strain formulation, enhanced      293
Strain matrix, B, 2D      90 600
Strain matrix, B, 3D      130
Strain matrix, B, axi-symmetric      115
Strain operators, small      55
Strain plane      87
Strain relations, independent      226
Strain stabilization: enhanced      329 338
Strain tensor      22
Strain, axi-symmetric initial      115
Strain, axi-symmetric thermal      115
Strain, circumferential      112
Strain, deviatoric      307
Strain, generalized      35
Strain, initial      25 91 94
Strain, thermal      94
Strain, volumetric      308 316 317 559
Strain-displacement      317 558
Strains: deviatoric      332 335
Strains: volumetric initial      324
Strang, G.      32 34 38; 246; 257 275; 466; 616 618
Strannigan, J.S.      234 247
Strata      92
Strata, curved      103
Stratified anisotropy      115
Stratified foundation      150
Stratified material      92
Stratified soil, pile in      125
Stream function      160
streamline      161
Strength, magnetic field      155
Stress approximation, discontinuous      286
Stress components      54
Stress concentration      99
Stress error: average      401
Stress error: local      411
Stress error: RMS      367
Stress evaluation      97
Stress extrapolation      376
Stress field expansion      353
Stress field: linearly varying      98
Stress field: uniform      98
Stress flux continuity      361
Stress function      359
Stress function formulation      304
Stress function, Airy      303
Stress matrix, 3D      132
Stress recovery methods      298
Stress sampling      376
Stress tensor, symmetric cartesian      54
Stress-strain relation      23 635
Stress: axisymmetry plane      124
Stress: deviatoric      307 308
Stress: effective      558
Stress: initial      25
Stress: plane      20 87
Stress: smoothed      298 384
Stress: techtonic      102
Stress: total      103
Stresses: best fit      98
Stresses: deviatoric      335
Stresses: effective      103
Stresses: equilibrating      354
Stresses: recovery of      375
Stresses: residual      25
Stresses: tectonic      25
Stresses: thermal      108 123
String on elastic foundation      450 455
String, loaded      47
Strip, slotted tension      341
Strouboulis, T.      251 275; 392 393 394 398 400
Stroud, A.H.      222 246
Structure-structure interaction      543
Strutt, J.W.      2 3 17; 38; 85
Stummel, F.      251 268 275
Subdivision: automatic element      226
Subdivision: element      59 402
Subdomain      351 355 356
Subdomain collocation      46 83 447 453
Subdomain continuity      349
subdomains      346 348 367
Subdomains with standard elements      360
Subdomains, circular      453
Subdomains, equilibrating form      353
Subdomains, irreducible form      346
Subdomains, mixed form      349 351
SubMatrix      6
Submerged surface      149
Subparametric      207
Subprograms, shape function      598
Subspace method      480
Substitution, back      611
Substructures      177 178
Substructuring      179
Subtraction: matrix      621
Subtraction: vector      639
Sufficient condition for convergence      256
Sum of products      623
Sumihara, K.      290 305
Sumihara, Pian and      291
Summation convention      626
Summation, double (integration)      221
Superconvergence      370 371 374 395
Superconvergent patch      378
Superconvergent patch recovery (SPR)      377 383
Superconvergent point      377 380
Superconvergent sampling, optimal      375
Superelement hybrid      350
Superelements      360
Superparametric elements      207
Support conditions      479
Surface flows, free      159
Surface gravity waves      547
Surface integrals      210
Surface traction      549
Surface wave effects      555
Surface: free      160 356 547
Surface: submerged      149
Suri, M.      404 415 427
Suspect elements      261
Swedlow, J.L.      234 247
Symmetric cartesian stress tensor      54
Symmetric coupling forms      356
Symmetric equations      278
Symmetric matrix      35 61 623
Symmetric matrix, skew      628 641
Symmetric tensors, second rank      634
Symmetry      67 244 490
Symmetry, rotational      92
Synge, J.L.      2 3 17; 38
Szabo, B.A.      416 428
Szmelter, J.      19 38
T elements (Trefftz)      356
Tabbara, M.      453 466
Taig, I.C.      203 246
Takizawa, C.      405 427
Tanesa, D.V.      157 162
Tangent matrix      61
Tangent matrix, global      593
Tangent stiffness      591
Tank, conical water      237
Tarnow, N.      514 521 540
Tautges, T.J.      405 427
Taylor series collocation      497 513
Taylor, C.      314 343; 484 491
Taylor, R.L.      34 38; 163; 176 177 179 182 198; 256 264 265 266 268 269 275; 277 279 280 282 293 304 305; 317 318 320 325 343 344; 426; 447 457 465 466; 485 492; 499 521 522 532 539 540 541; 554 559 573 576 611 618
Techniques, recovery      388
Techtonic stress      25 102
Temperature      41 141 149 282 506
Temperature change      5 22 94
Temperature, potential      276
Tension strip with slot      338 341
Tension, axial      7
Tensor product      628
Tensor-indicial notation      626
Tensor: strain      22
Tensorial relations      628
Teodorescu, P.      356 358 363
Terzhagi, K.      103 111; 491
Tetrahedra numerical integration formulae      223
Tetrahedral element      127 128
Tetrahedral elements      186
Tetrahedral meshes, arbitrary      138
Tetrahedral numerical integration      221
Tetrahedron cubic shape functions      187
Tetrahedron elements, hierarchical      193
Tetrahedron linear shape functions      187
Tetrahedron quadratic shape functions      187
Tetrahedron shape functions      187
Tetrahedron: cubic      188
Tetrahedron: quadratic      188
Thatcher, R.W.      229 247
Theorem: Green's      278 301 353 643
Theorem: Herrmann      372 377
Theorem: Maxwell — Betti reciprocal      7
Theorem: variational      316
Thermal conduction      502
Thermal dilatation      94
Thermal expansion      6
Thermal expansion, isotropic      131
Thermal expansion, three-dimensional      130
Thermal field      544
Thermal strain      94
Thermal strain, axi-symmetric      115
Thermal stresses      108 123
Thomas, D.L.      490 492
Thomas, J.M.      287 305
Thomasset, F.      323 344
Thompson, J.F.      139 139; 247; 427 428
Thompson, J.P.      229 247
Thomson, H.T.      490 492
Three point interpolation      525
Three-dimensional continuum      54
Three-dimensional elements      184
Three-dimensional oscillations      482
Three-dimensional problem      576
Three-dimensional strain matrix      130
Three-dimensional stress analysis      127
Three-dimensional thermal expansion      130
Three-dimensional transformer      158
Three-field approximation      292 329
Three-field mixed formulations      291
Three-field nearly incompressible elasticity      314
1 2 3 4 5 6 7 8 9 10 11
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