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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
$C_0$ continuity      43 52 164 279
$C_0$ continuous shape functions      168—198
$C_0$ continuous shape functions, 1 dimensional      183—184
$C_0$ continuous shape functions, 2 dimensional      168—177
$C_0$ continuous shape functions, 3 dimensional      184—198
$C_1$ continuity      29 80 268 304 443
$C_{-1}$ continuity      279
$L^2$ norm      366
$L^2$ projection of stress      376
$\nu$: Poisson's ratio      583 632
a posteriori error estimator      385
Abdulwahab, F.      382 398 399 400
Abramowitz, N.      217 219 246
Absciss\ae, integration      220 222 223
Accelerator matrix, convergence      323 324
Accuracy, local      499
Acoustic problems      546
Adams, M.      617 618 619
Adaptive analysis      463
Adaptive mesh refinement      401
Adaptive methods      398
Adaptive time stepping      500
Adaptivity, h      405
Added mass      153 556
Adee, J.      464 467
ADI (Alternating Direction Implicit)      570
Adjoint functions and operators      75 83 645
Aerofoil      233 545
Ahmad, S.      237 248; 275
Ainsworth, M.      387 388 392 400
Aircraft      138
Airy stress function      303
Algebraic equations: linear      577
Algebraic equations: non-linear      594
Algebraic equations: simultaneous linear      609
Algorithm      see also Algorithms methods
Algorithm, Bossak — Newmark      522
Algorithm, CBS      338 341
Algorithm, Gear      521
Algorithm, generalized Newmark      508
Algorithm, GiD      583
Algorithm, GN      516
Algorithm, GN22      514 515 529 531 533 553 566 571 593
Algorithm, GNpj      508 560
Algorithm, GNU      566
Algorithm, Hilber — Hughes — Taylor      522
Algorithm, Houbolt      522
Algorithm, Liniger      521
Algorithm, Newmark      512 515 531 533 see
Algorithm, recurrence      560
Algorithm, SS (Single Step)      495—521
Algorithm, SS11      511 565
Algorithm, SS21      519 520
Algorithm, SS22      511 519 520 529 530 531 533 566 see
Algorithm, SS31      520
Algorithm, SS32      520 530
Algorithm, SS42      530
Algorithm, SS42/41 algorithms      529
Algorithm, SSpj      508 514
Algorithm, steady-stage      594
Algorithm, three-step      527
Algorithm, transient step-by-step      560
Algorithm, Uzawa      301
Algorithm, Wilson      522
Algorithm, Zlamal      521
Algorithmic damping      536
Algorithms: general single-step      508
Algorithms: GNpj      514
Algorithms: implicit      511
Algorithms: multi-step      522
Algorithms: multistep recurrence      522
Algorithms: recurrence      522
Algorithms: single-step      495
Algorithms: transient recurrence      565
Algorithms: transient step-by-step      551
Allen, D.N.de G.      1 16; 86; 161
Allwood, R.J.      355 362
Alternating direction implicit (ADI)      570
Alternating direction of sweeps      569
Amplification matrix      501 516
Analysis procedure, modal      486
Anchorages, cable      110
Andelfinger, U.      295 305
Anderson, R.G.      222 246
Ando, Y.      74 85;
Angular velocity      119
Anisotropic elasticity      309
Anisotropic materials      91
Anisotropic media      144
Anisotropic porous foundation      149
Anisotropic problems      603
Anisotropic seepage      149
Anisotropic valley      102
Anisotropy, stratified      115
Approximation error      499
Approximation in time      493
Approximation: central difference      530
Approximation: discontinuous stress      286
Approximation: finite element      632
Approximation: function      431
Approximation: incomplete      346
Approximation: least square      78
Approximation: mixed      309
Approximation: multi-step polynomial      524
Approximation: partial field      346 348
Approximation: point      84
Approximation: point-based      429
Approximation: three-field      292 329
Arbitrary tetrahedral meshes      138
Arbitrary weighting function      495
Arch dam in rigid valley      239 241 242
Archer, J.S.      472 491
Area coordinates      180—182 186—190
Area: elements of      641
Area: tributary      429
Argyris, J.H.      2 3 16; 128 139; 159 162 163; 182 183 184 198; 344; 539
Arlett, P.L.      140 153 155 161; 482 483 491
Armstrong, C.G.      405 427
Arnold, D.      287 305
Arnold, D.N.      314 320 343 344
Array computations, element      598
Array storage      588
Arrays: dynamically dimensioned      578
Arrays: global      585
Arrays: residual load      577
Arrow, K.J.      301 306; 344
Artificial harbour      487 488
Arya, S.K.      79 81 85
ascii file      576
Assembly equations      13
Assembly process, general      9
Asymptotic convergence rate      59 250 257 406
At-Abdulla, J.      355 362
Atluri, S.N.      276 304
Atluri, T.H.      355 362
Atmospheric pressure      556
Augmented Lagrangian form      324
Automatic element subdivision      226
Auxiliary bending shape functions      265
Auxiliary functions      303
Average dynamic equation      512
Average stress error      401
Axes: orthogonal      627
Axes: principal      149
Axial co-ordinates      112
Axial tension      7
Axisymmetric elasticity matrix, D      116
Axisymmetric heat flow      149
Axisymmetric initial strain      115
Axisymmetric loading      112
Axisymmetric solids      112
Axisymmetric stiffness matrix      117
Axisymmetric strain matrix, B      115
Axisymmetric stress analysis      112
Axisymmetric thermal strain      115
Axisymmetrical pressure vessel      152
Axisymmetry plane strain      124
Axisymmetry plane stress      124
B, strain matrix      90—95 115 600
B-bar method      316
Babuska patch test      392
Babuska — Brezzi conditions      307 326
Babuska, I.      251 275; 280 304 305; 363; 392 393 394 398 399 400; 404 415 416 426 427 428; 445 457 458 459 463 465 466; 575
Bachrach, W.E.      226 246; 275
Back substitution      611
Back, P.A.A.      153 162
Background grid      453
Backward difference four-step algorithm      521
Backward difference implicit scheme      538
Bahrani, A.K.      470 482 483 491
Bahrani, A.L.      140 153 155 161
Baiocchi, C.      161 163
Balestra, M.      326 345
Bampton, M.C.C.      480 492
Band: variable      588
Bandwidth      127 337 358
Bandwidth minimization      587
Banerjee, P.K.      84 86; 362
Bank, R.E.      387 388 391 399
Bar: pin-ended      6 15
Barlow points      371
Barlow, J.      371 398
Bars: elastic      2
Bars: pin-jointed      178
Barsoum, R.S.      234 248
Base polynomial solutions      253 258
Basic shape function routines      577
Batch processing      576
Bathe, K.J.      161 163; 246; 490 521 541
Batina, J.      446 447 453 465 466
Baumann, C.E.      361 363 364; 415 427
Bayless, A.      430 465
Baynham, J.A.W.      276 280 304; 320 343
Bazeley, G.P.      31 34 38; 274
Beam      82
Beam reactions, simple      6
Beam shape function      36
Beam vibration      481
Beam: cantilever      376
Beam: narrow      171
Beam: simply supported      481
Bearing pad      157
Becker, E.B.      82 86
Beckers, P.      251 270 274
Beer, G.      84 86; 247
Beisinger, Z.E.      474 491
Belytschko, T.      226 246; 275; 398 399; 453 464 465 466 467; 521 540; 574
Bending moment      7 35
Bending moments, internal      26
Bending of prismatic beams      140
Benz, W.      464 466
Benzley, S.E.      234 248
Bercovier, H.      319
Beresford, P.J.      265 268 275
Best fit stresses      98
Bettencourt, J.M.      505 521 540
Bettess, P.      74 85; 233 235 247; 363 487 492; 569 572 574
Bey, K.S.      404 415 427
Bhakra dam-reservoir system      557
Bicanic, N.      261 263 275; 574
Biezeno, O.C.      2 3 17; 84
Bijlaard, P.P.      127
Bilinear mapping      215
Bilinear shape functions      205
Bimetallic shaft, hollow      148
Biomechanics      244 564
Biot, M.A.      559 573
Bischoff, M.      295 305
Blackburn, W.S.      234 248
Blacker, T.D.      382 398 399; 427; 466
Blade cascade, infinite      245
Blade, cooled rotor      507
Blending functions      226 227
Blocks of elements      583
Blocks of nodes      583
Bociovelli, L.L.      474 491
Body force components      23
Body force potential      96
Body force vectors      208
Body forces      25 54 96 166 254 471
Body forces, 3D distributed      132
Body forces, distributed      23 119
Body of revolution      118
Bogner, F.K.      35 38
Boley, B.A.      545 572
Bone-fluid interaction      564
Bonet, J.      464 467
Booker, J.F.      158
Boroomand, B.      97 111; 274; 394 397 399 400
Borouchaki, H.      229 247
Bossak — Newmark algorithm      522
Bossak, M.      521 522 541
Boundaries: external      379
Boundaries: internal      356
Boundaries: repeating      587
Boundary condition data      577 578
Boundary condition: forced      44 45 66 143
Boundary condition: natural      44 45 66 143 278
Boundary condition: prescribed      13
Boundary condition: radiation      147
Boundary condition: traction      356
Boundary elements      356 359
Boundary methods      82 346 355
Boundary traction      256
Boundary Trefftz-type elements      357
Boundary: flux      74
Boundary: internal element      256
Boundary: radiation      548
Boussinesq problem      125 135 233
Box product      642
Braess, D.      295 305
Brauchli, H.J.      298 306; 398
Brebbia, C.A.      84 86; 361 363
Brezzi, F.      280 287 305; 326 333 343 345
Brick elements, hierarchical      193
Brick-type elements      132
Brigham, E.O.      486 492
Brown, C.B.      161 162
Bruch, J.C.      161 163
Bubble function      183 311 326
Bubble function, cubic      338
Bubble function, hierarchical      327
Bubble mode      329 331 334 338
Bubbles, distributed (cavitation)      556
Bubnov — Galerkin method      47; see also Galerkin
Buck, K.E.      172 184 198
Bugeda, G.      401 411 426
bulk modulus      308 325 546
Butterfield, R.      356 362
Buttress dam      102
Byskov, E.      234 248
C programming language      577
Cable anchorages      110
Campbell, D.M.      285 305
Campbell, J.      77 85; 177 185 192 198 198 199; 244 248; 376 398
Canann, S.      405 427
Cancellation of error      223
cantilever      374 376
Cantin, G.      298 302 305; 521 540
Caravani, P.      490 492
1 2 3 4 5 6 7 8 9 10 11
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