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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
Periodic response      477
Periodic response, forced      485
Permeability      149 559 561
Permeability, magnetic      155
Permissible error      401 405
Permutation: cyclic      89 327
Perrone, N.      429 446 464
Petrov — Galerkin method      47
Phase: fluid      561 571
Phillips, D.V.      226 246
Physical model      83
Pian — Sumihara      287—297
Pian, T.H.H.      32 38; 248; 305; 353 355 362; 491
Piecewise constant shape functions      649
Pierre, R.      337 338 345
Piers      110
Pile in stratified soil      125
Pile wall, inclined      150
Pile, foundation      124
Piltner, R.      356 363
Pin-ended bar      6 15
Pin-jointed bars      178
Ping Tong      32 38
PINPUT (program input command)      580
Pipes      12
Pister, K.S.      279 293 305; 343
Pitkaranta, J.      326 333 345; 500 539; 575
Pivot      464
Plane strain      87
Plane strain, axisymmetry      124
Plane stress      20 87
Plane stress, axisymmetry      124
Plastic flow      544
Plate, slopes of      26
PMACRn routines      596
PMESH      583
Point approximation      84
Point collocation      46 83 446 451
Point-based approximation      429
Point: collocation      448
Point: quarter      234
Point: saddle      70
Point: superconvergent      377
Pointers      588 589
Points: Barlow      371
Points: collocation      447
Points: Gauss      374 376
Points: Gauss — Legendre      373
Points: hanging      402
Points: integrating      221
Points: minimum integration      375
Points: nodal      18
Points: optimal sampling      370 371
Points: quadrature      320
Points: sampling      219
Points: superconvergent      380
Pointwise definition      429
Poisson equation      140—161 333 360 381 412
Poisson's ratio      78 272
Poisson's ratio = 1/2      258 271 298 320 343
Poisson's ratio, high      78
Polygonal domain element      356
Polynomial approximation, multi-step      524
Polynomial expansion      32
Polynomial hierarchical method      458
Polynomial order      404 406
Polynomial: characteristic      518
Polynomial: complete      165
Polynomial: stability      528 529
Polynomials: completeness of      171
Polynomials: hierarchical      190
Polynomials: Lagrange      172 445
Polynomials: Legendre      219 444
Polynomials: linear      88
Pook, L.P.      234 247
Porcelain insulator      155
Pore fluid      562
Pore pressure      102
Porous foundation, anisotropic      149
Porous media      103 544 564
Porous media, seepage through      140
Positive definite matrix      35 617
Positive valued weighting function      79
Potential energy: total      29 349
Potential gradients      141
Potential temperature      276
Potential: body force      96
Potential: displacement      556
Potential: electric      140
Potential: electrostatic      155
Potential: magnetic      140
Potential: scalar      156
Potential: vector      154
Powell, M.J.D.      323 344
Power station: underground      108 110
Prager, W.      2 3 17; 23 38
Preconditioned conjugate gradient method      578 617
Preconditioned conjugate gradient solver      588
Preconditioning      571
Predictor-corrector iteration      515
Preprocessor      576
Prescribed boundary condition      13
Prescribed displacement      10 348
Prescribed nodal forces      578
Prescribed tractions      352
Pressure      307 549
Pressure equation, discrete      336
Pressure limit, vapour      556
Pressure loaded cylinder      121
Pressure loaded sphere      121
Pressure stabilization      332
Pressure vessel      243
Pressure vessel, axisymmetrical      152
Pressure vessel, concrete reactor      123
Pressure vessel, nuclear      122 137 149
Pressure: atmospheric      556
Pressure: external water      102
Pressure: hydrodynamic      149
Pressure: hydrostatic      103
Pressure: internal water      102
Pressure: pore      102
Price, M.A.      405 427
Primary variable      280 285 320
Primary variables, maximum      282
Princes of Serendip      176
Principal axes      149
Principal diagonal      612
Principle of limitation      280 286 304 354
Principle: constrained variational      70 76
Principle: contrived variational      61
Principle: d’Alembert      471
Principle: Galerkin      143
Principle: general variational      75
Principle: Gurtin's variational      498
Principle: Hamilton's variational      498
Principle: Hellinger — Reissner variational      285 652
Principle: maximum      76
Principle: minimum      76
Principle: modified variational      74
Principle: natural variational      61 79 80
Principle: variational      60 83 143 277 291 352 353
Prism elements, triangular      189
Prism numerical integration      219
Prism: distorted triangular      213
Prism: rectangular      184
Prism: triangular      190
Problem: acoustic      546
Problem: anisotropic      603
Problem: Boussinesq      125 135 233
Problem: continuous      1
Problem: discrete      1
Problem: driven cavity      338 340
Problem: dynamic      468
Problem: eigenvalue      625
Problem: extrusion      325
Problem: first-order      565
Problem: fluid      481
Problem: heat transfer      303
Problem: initial value      495
Problem: linear steady-state      590
Problem: magnetostatic      157
Problem: mixed      299
Problem: non-linear      494
Problem: non-self-adjoint      646
Problem: saddle point      76
Problem: seepage      159
Problem: self-adjoint      646
Problem: slot      342
Problem: standard discrete      2
Problem: standard eigenvalue      479
Problem: steady-state field      140
Problem: Stokes      334
Problem: three-dimensional      576
Problem: transient      576
Problem: two-dimensional      145
Problem: waveguide      482
Procedure      see also Methods algorithms
Procedure: analytical      486
Procedure: computer      576
Procedure: frequency response      486
Procedure: lumping      474
Procedure: modal analysis      486
Procedure: multigrid      571
Procedure: numerical integration      598
Procedure: Rayleigh — Ritz      19
Procedure: recovery      374
Procedure: REP      385
Procedure: single-step      498
Procedure: SSpj      522
Procedure: stabilized      307
Procedure: weighted residual      1
Process: explicit-split      569
Process: general assembly      9
Process: recovery      365
Process: stabilization      571
Process: staggered solutions      567
Process: weighted residual      75
Processing, batch      576
Product: box      642
Product: cross      640
Product: scalar      639
Product: tensor      628
Product: triple      642
Product: vector      210 640
Products: sum of      623
PROFIL (program command)      586
Profile matrix      614
Profile solution scheme      588
Profile storage      615
Program: control      579
Program: GiD      618
Programming command language statements      595
Programming language: C      577
Programming language: command      590
Projection matrix, deviatoric      308
Propagation, elastic wave      520
Properties: material      577 578 585
Properties: stability      567
Property specification, material      583
Przemieniecki, J.S.      14 17
Qu, S.      34 38; 275; 305
Quadratic element      185
Quadratic expansion      500
Quadratic functional      61
Quadratic modes      338
Quadratic tetrahedron      188
Quadratic triangle      182
Quadratic triangular element      460
Quadrature      see also Integration
Quadrature points      320
Quadrature weight      650
Quadrature: Gauss      219 371
Quadrature: Gauss — Legendre      219 374 598
Quadrature: Gauss — Lobatto      457
Quadrature: gaussian      259
Quadrature: Newton — Cotes      217
Quadrature: nodal point      474
Quadrature: selective reduced      270
Quadrilateral: Pian — Sumihara      287 290 295
Quadrilateral: Simo — Rifai      294 296
Quarter point      234
Quasi-harmonic equation      140 142 276 360 468
r-refinement      404
Rachowicz, W.      387 388 399; 415 427
Radau      222 246
Radial co-ordinates      112
Radial displacement      112
Radiation      546
Radiation boundary      548
Radiation boundary condition      147
Radiation coefficient      142
Radiation constant      144
Radiation energy loss      550
Radiation of reflected waves      487
Radius: spectral      532 536
Raju, I.S.      234 248
Ralston, A.      252 275; 611 618
Ramm, E.      295 305
Randolf, M.F.      320 344
Rank deficiency      261
Rank test, direct      311
Rank, E.      405 427
Rao, A.K.      234 248
Rao, I.C.      157 162
Rashid, Y.R.      112 126; 139
Rate of convergence      223 367 381
Rate: asymptotic convergence      59 250 406
Rate: convergence      32
Rausch, R.D.      453 466
Raviart, P.A.      287 305; 343; 539
Rayleigh damping      472
Rayleigh — Ritz method      19 30 60
Rayleigh, Lord      2 3 30 38; 85
Razzaque, A.      34 38; 274
Re-entrant corners      365
Reactions      259
Reactions, simple beam      6
Reciprocal theorem, Maxwell — Betti      7
Recovery based estimator      365
Recovery by element residual      392
Recovery by patch equilibrium      383
Recovery methods, stress      298
recovery procedures      298 374 375 365 374 375 388
Recovery: oil      564
Recovery: superconvergent patch (SPR)      377 383 394
Rectangle elements, hierarchical      193
Rectangular elements      168
Rectangular numerical integration      219
Rectangular prism      184
Rectangular prisms, serendipity family      185
Rectangular shaft torsion      148
Recurrence algorithm      522 560
Recurrence algorithm, multistep      522
Recurrence algorithm, transient      565
Recurrence formulae, two-point      497
Recurrence relation      229 494 498 528
Recurrence relation, single-step      494
Reddi, M.M.      158 162
Redshaw, J.C.      128 139
Reduced integration      250 255 258 286 318 320
1 2 3 4 5 6 7 8 9 10 11
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