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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
Lan Guex      356 363
Lancaster, P.      430 438 465
Lanczos methods      480
Language statements, programming command      595
Language: C programming      577
Language: command      577
Language: command programming      590
Laplace equation      140—161 333 337 555
Larock, B.E.      159 163
Lateral deflection      26
Lateral inertia force      472
Lateral load      6
Law: Darcy's      141
Law: Fick's      141
Law: Fourier's      141
Least square      440
Least square approximation      78
Least square fit      372 431
Least square forms      83
Least square method      76 79
Least square minimization      385
Least square smoothing      298
Least square: Galerkin (GLS)      338
Least square: hierarchical moving      454
Leckie, F.A.      472 491
Ledesma, A.      564 574
Lee, K.N.      79 81 86
Lee, Nam-Sua      217 246
Lefebvre, D.      287 292 305
Legendre polynomials      219 444
Leguillon, D.      383 388 391 399
Lekhnitskii, S.G.      91 92 111
Length scale      446
Lesaint, P.      500 540
Leung, K.H.      559 564 567 573 574
Levy, J.F.      318 344
Levy, N.      234 236 247
Lewis, R.W.      104 111; 498 504 539; 565 572 574
Li, B.      381 399
Li, G.C.      161 163
Li, S.      464 467
Li, X.D.      383 399; 537 540
Li, X.K.      565 574
Liebman, H.      2 3
Ligget, J.A.      356 363
Limit: stability      571
Limit: vapour pressure      556
Limitation: principle of      280 286 304 354
Limits: integration      212
Limits: stability      518
Lin, Q.      375 381 398
Lindberg, G.M.      472 491
Line element      183
Line: infinite      231
Line: interface      348
Linear algebraic equations      577
Linear damping      470
Linear elastic model      558
Linear elasticity      4 39 459
Linear element      183 185
Linear operator      67
Linear polynomials      88
Linear relations, independent      225
Linear steady-state problems      590
Linearly varying stress field      98
Liniger algorithm      521
Liniger, W.      504 521 531 540 541
Link: interface traction      346 349
Links, frame      353
Liquefaction, soil      562
Listings, source      576
Liszka, T.      429 446 447 453 464 466
Liu, P.L.-F.      356 363
Liu, W.K.      464 467; 574
Livesley, R.K.      14 17
Lo, S.H.      405 427
Load arrays, residual      577
Load discontinuities      505
Load matrix, 3D      132
Load: lateral      6
Loaded cylinder, pressure      121
Loaded sphere, pressure      121
Loaded string      47
Loading      577 587
Loading, axisymmetric      112
Loading, external      25
Loading, gravity      102
Loading, non-symmetrical      124
Local accuracy      499
Local element singularities      226
Local finite element approximation      196
Local interpolations      361
Local stability      538
Local stress error      411
Local truncation error      516
localization      597
Locally based functions      50
Locking      78 82 258 281 298 311 314 315 318
Logarithmic terms      118
Lok, T.-S.L.      464 467
Lomacky, O.      234 247
Loubignac, C.      298 302 305
Low integration orders      224
Low reynolds number flow      322
Lower bound solution      34
Lower triangular matrix      578
Lowther, D.A.      229 247
Lu, Y.      430 453 465 466
Lubrication      157
Lubrication of pad bearings      140
Lucy, L.B.      464 466
Luenberger, D.G.      323 344
Luke, J.C.      161 162
Lumped mass matrix      471 520 605
Lumped mass, negative      474
Lumping      336 648 650
Lumping procedures      474
Lumping: mass      474 475
Lunar waveguide      483
Lyness, J.F.      154
Lynn, P.P.      79 81 85
Machine part      413
MacKerle, J.      84 86
Magnet      156
Magnetic field strength      155
Magnetic permeability      155
Magnetic potential      140
Magnetostatics      153 157
Maione, V.      161 163
Makridakis, C.G.      361 363
Malkus, D.S.      314 318 343 344; 491
Mallett, R.H.      35 38
Mandel, J.      571 575
Mapped elements      200
Mapped mesh generation      226
Mapped shape functions      230
Mapping function      212 230 254
Mapping: bilinear      215
Mapping: curvilinear      446
Mapping: uniqueness of      204 205
Marcal, P.V.      234 234 236 247
Mareczek, G.      159 163; 184
Marlowe, O.P.      222 246
Martin, H.C.      2 3 14 16 17; 111; 162
Martinelli, L.      453 466
Mass array      577
Mass lumping      474 475
Mass matrix      473 549 592
Mass matrix, added      556
Mass matrix, consistent      472 476 604
Mass matrix, element      471
Mass matrix, lumped      520 605
Mass: added      153
Mass: lumped      471
Mass: negative lumped      474
Material properties      577 578 585
Material property specification      583
Material: anisotropic      91
Material: incompressible      110 307 308
Material: isotropic      90 142
Material: stratified      92
Material: transversely isotropic      91
Matrix algebra      620
Matrix conditioning      33
Matrix diagonalization      648 649
Matrix notation      633
Matrix singularity      224 225 318
Matrix subtraction      621
Matrix: 3D load      132
Matrix: 3D stiffness      132
Matrix: 3D stress      132
Matrix: added mass      556
Matrix: amplification      501
Matrix: axi-symmetric stiffness      117
Matrix: B, 2D strain      90 600
Matrix: B, 3D strain      130
Matrix: B, axi-symmetric strain      115
Matrix: bubble      329
Matrix: consistent damping      472
Matrix: consistent mass      472 476 604
Matrix: convergence accelerator      323
Matrix: D, 2D elasticity      90 600
Matrix: D, 3D elasticity      131
Matrix: D, axi-symmetric elasticity      116
Matrix: damping      473 487 489 490 549 592
Matrix: decomposition      611
Matrix: definition of      620
Matrix: deviatoric projection      308
Matrix: diagonal      578
Matrix: element damping      471
Matrix: element mass      471
Matrix: element stiffness      5 471 604
Matrix: fictitious compressibility      324
Matrix: force      549
Matrix: fully reduced      611
Matrix: global      12
Matrix: global coefficient      588
Matrix: global stiffness      577
Matrix: global tangent      593
Matrix: inverse of      622
Matrix: jacobian      209 290
Matrix: lower triangular      578
Matrix: lumped mass      520 605
Matrix: mass      473 549 592
Matrix: non-singular      252
Matrix: positive definite      35
Matrix: profile      614
Matrix: singular element      225
Matrix: singular K      479
Matrix: skew symmetric      68 628 641
Matrix: stiffness      7 12 95 208 350 549 578
Matrix: strain-displacement      558
Matrix: symmetric      35 61 623
Matrix: tangent      61
Matrix: three-dimensional strain      130
Matrix: transformation jacobian      232
Matrix: unsymmetric stiffness      591
Matrix: upper triangular      578
Mavriplis, D.J.      453 466
Maximum of functional      69
Maximum primary variables      282
Maximum principle      76
Maxwell — Betti reciprocal theorem      7
Maxwell's equation      155
Mayer, P.      140 161
McDonald, B.H.      153 162
McHenry, D.      1 3 16
McLay, R.W.      32 38
Mechanics, fracture      234
Mechanisms, spurious      252
Media: anisotropic      144
Media: non-homogeneous      144
Media: porous      103
Medium: porous      544 564
Meek, J.L.      229 247
Mei, C.C.      74 85; 492
Melenk, J.M.      430 445 457 465
Melosh, R.J.      127 139
Member, hinged      9
Membrane, elastic      268
Memory allocation, dynamic      579
Memory Management      588
Mesh data checking      588
Mesh density      229
Mesh enrichment      406 410
Mesh generation: complex      429
Mesh generation: mapped      226
Mesh generators, hexahedral      405
Mesh input module      583
Mesh refinement: adaptive      401
Mesh refinement: directional      425
Mesh regeneration      402 404 410
Mesh: irregular      147
Mesh: optimal      405
Mesh: regular      147
Meshes, arbitrary tetrahedral      138
Meshless methods      429 430 453
Metal extrusion      544
Metal forming, coupled      545
method      see also Algorithm
Method of weighted residuals      46
Method: B-bar      316
Method: Bubnov — Galerkin      47
Method: discontinuous Galerkin      361 494 500
Method: element-free Galerkin      429 430 453
Method: finite point      446
Method: finite volume      453
Method: frontal      405
Method: Galerkin      47 64 83 451 453
Method: iterative      12 298 323 588 610
Method: iterative solution      127
Method: least square      76 79
Method: Petrov — Galerkin      47
Method: polynomial hierarchical      458
Method: Rayleigh — Ritz      60
Method: relaxation      8
Method: reproducing kernel      464
Method: row sum      474 649
Method: subspace      480
Method: Uzawa      323
Method: weighted residual      42
Methods: adaptive      398
Methods: boundary      82 346
Methods: complete field      276
Methods: explicit      497
Methods: finite difference      446
Methods: finite point      446
Methods: finite volume      451
Methods: Galerkin solution      447
Methods: implicit      497
Methods: indirect      610
Methods: Lanczos      480
Methods: meshless      429 430 453
Methods: mixed      307
Methods: multistep      522
Methods: Newton's      594
Methods: stabilized      326
Methods: stress recovery      298
Methods: transient solution      592
Methods: Trefftz      346
1 2 3 4 5 6 7 8 9 10 11
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