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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
Hall, J.F.      551 573
Hamilton's variational principle      498
Hammer, P.C.      222 246
Hanging points      402
Hansbo, P.      387 400
Harbour: artificial      487 488
Hardy, O.      404 415 427
Harmonic wave functions      458
Hause, J.      139 139; 247; 427
Hayes, L.J.      570 571 574
Head: hydraulic      12 149
Hearmon, R.F.S.      91 111
Heat conduction      47 123 140 276 279 287 370 395 458 486 505 520
Heat conduction, steady-state      41 149
Heat conduction, transient      57 468 477
Heat conduction, weak form      44
Heat conduction-convection, steady-state      41
Heat equation      592
Heat flow      41
Heat flow, axisymmetric      149
Heat flow, sphere      122
Heat storage      56
Heat transfer problem      303
Heat transfer, complementary      301
Heinrich, J.C.      545 572
Hellan, K.      279 304
Hellen, T.K.      221 234 246 248
Hellinger — Reissner variational principle      285 652
Hellinger, E.      285 305
Helmholtz equation      470 482 546
Hemispheric dome      238
Henrici, P.      494 539
Henshell, R.D.      234 248; 362
Hermitian interpolation function      435
Herrera, I.      356 363
Herrmann theorem      372 377
Herrmann, L.R.      69 85; 159 161 163; 285 304 305; 311 343; 373 398
Hestenes, M.R.      323 344
Hexahedral mesh generators      405
Hibbitt, H.D.      234 248
Hierarchical brick elements      193
Hierarchical bubble function      327
Hierarchical enhancement      443
hierarchical forms      167 208
Hierarchical interpolation      444 449 463
Hierarchical method, polynomial      458
Hierarchical moving least square      454
Hierarchical polynomials      190
Hierarchical rectangle elements      193
Hierarchical shape functions      164 166 190 194
Hierarchical tetrahedron elements      193
Hierarchical triangle elements      193
Hierarchical variables      431 457 571
High Poisson's ratio      78; see also Almost incompressible Poisson's
High-frequency responses      531
Higher derivatives      443
Higher order patch test      257 261 271
Higher order stability      520
Hilber — Hughes — Taylor algorithm      522
Hilber, H.M.      172 184 198; 522 532 541
Hildebrand, F.B.      60 63 84 85 86; 539
Hine, N.W.      494 539
Hinged member      9
Hinton, E.      78 85; 263 275; 344; 376 398; 406 427; 491; 557 558 559 564 567 572 573 574
Holbeche, J.      551 573
Hole, circular      99
Hollow bimetallic shaft      148
Hood, P.      314 343
Horace Walpole      176
Houbolt algorithm      522
Houbolt, J.C.      521 522 532 541
Hourglass control      226
hp-clouds      453
hp-refinement      415 422
Hrenikoff, A.      1 3 16
Hsieh, M.S.      153 162
Huang, Y.      375 398
Huck, J.      545 550 573
Huebner, K.H.      158 162
Hughes, T.J.R.      81 86; 305; 318 326 333 338 343 344 345; 500 512 514 521 522 532 539 540 541; 566 572 574
Hulbert, G.M.      326 333 338 345; 500 539
Humpheson, C.      104 111
Hurty, W.C.      480 489 492
Hurwicz, K.J.      301 306
Hurwicz, L.      301 306 323 344
Hurwitz, A.      518 521 540
Hybrid form      352
Hybrid formulations      346
Hybrid-stress elements      355
Hybrid: superelement      350
Hydraulic head      12 149
Hydrodynamic pressure      149
Hydrodynamics, smooth particle      464
Hydrostatic pressure      103
Hyperbolic equation      468
Ibrabimbegovic, A.      485 492
ideal fluid flow      160
Ideal fluid irrotational flow      140
Idelsohn, S.R.      446 447 465 466
Iding, R.      404 426
Impedance, complex      12
Impeller      245
Implicit algorithms      511
Implicit methods      497
Implicit residual error estimator      387
Implicit scheme: backward difference      538
Implicit schemes      515
Implicit-explicit dynamic analysis      545
Implicit-explicit partitions      565 566
Implicit-explicit solution      566
Implicit-implicit schemes      566
Inclined pile wall      150
Incompatible element      264 268
Incompatible element patch test      267
Incompatible formulation      264
Incompatible mode      264 269
Incomplete approximation      346
Incomplete field      346
Incomplete hybrid field methods      346
Incompressibility      226 301 311 334 335
Incompressibility patch test      326
Incompressibility: near      271 293 298 307 316 320; Poisson's
Incompressible constraint      324
Incompressible elasticity      309 323 334
Incompressible elasticity, three-field nearly      314
Incompressible elasticity, two-field      308
Incompressible flows      159 555
Incompressible material      110 307 308
Independent linear relations      225
Independent strain relations      226
Index: dummy      629
Index: effectivity      386 392
Index: free      629
Index: robustness      394 395
Indicial and matrix notation      630 633
Indirect methods      610
Inertia couples, rotary      472
Inertia force      470
Inertia force, lateral      472
Inertia, rotatory      472
Inexact integration      223
Infinite blade cascade      245
Infinite domains      229
Infinite elements      157 229
Infinite line      231
Infinitesimal patch      254
infinity      229 356
Initial conditions      504 505
Initial strain      25 91 94
Initial strain, axi-symmetric      115
Initial strains, volumetric      324
Initial stress      25
Initial value problem      495
Input module: data      576 577 578 580
Input module: mesh      583
Instability      311 503
Insulator, porcelain      155
Integral: domain      355
Integral: surface      210
Integral: volume      117 209
Integrating factor      646
Integrating points      221
Integration by parts      43 143 278 351 389 549 643
Integration formulae for tetrahedron      637
Integration formulae for triangle      636
Integration formulae: tetrahedra numerical      223
Integration formulae: triangle numerical      222
Integration limits      212
Integration orders, low      224
Integration points, minimum      375
Integration procedures, numerical      598
Integration: exact      320
Integration: Gauss      218
Integration: gaussian      219
Integration: inexact      223
Integration: numerical      117 200 217 219 224 650
Integration: order of      224
Integration: prism numerical      219
Integration: rectangular numerical      219
Integration: reduced      250 255 258 286 318 320
Integration: selective      255 318 319
Integration: standard      258
Integration: tetrahedral numerical      223
Integration: triangle numerical      222
Interaction: bone-fluid      564
Interaction: dam/reservoir      551
Interaction: fluid-structure      542 543 545 547
Interaction: reservoir-dam      556
Interaction: soil-fluid      545
Interaction: soil-pore fluid      558
Interaction: soil-pressure      563
Interaction: structure-structure      543
Interelement continuity      74
Interelement forces      28
Interface displacement frame      350
Interface gradients      379
Interface line      348
Interface traction      346 349
Interface traction link      346 349
Interface with solid      547
Interior elements      356
Internal bending moments      26
Internal boundaries      356
Internal element boundary      256
Internal nodes      177
Internal parameters, nodeless      177
Internal variables      265 348
Internal water pressure      102
Internal work      24 89
Interpolation function, Hermitian      435
Interpolation: continuous      438
Interpolation: domains      435
Interpolation: four-point      527
Interpolation: hierarchical      444 449 463
Interpolation: Lagrange      228
Interpolation: local      361
Interpolation: Shepard      444
Interpolation: three point      525
Interpolation: two point      525
Interstitial fluid      564
Invariance, element      580
Inverse of matrix      622
Irons, B.M.      10 17; 34 38; 126; 139; 172 174 176 177 181 185 192 198 198 199; 221 222 236 237 239 244 246 248; 252 274; 501 540; 573
Irreducible elements      282 342
Irreducible form      279 304 318 353
Irreducible form subdomains      346
Irreducible formulation      42 276 280 542
Irregular mesh      147
Irregular partitions      570
Irrotational flow      159
Irrotational flow: ideal fluid      140
Isoparametric element      203—216 355
Isoparametrics, degenerate      236
Isotropic behaviour      308
Isotropic material      90 142
Isotropic material,transversely      91
Isotropic thermal expansion      131
Iteration, predictor-corrector      515
Iterative method      12 298 323 588 610
Iterative solution      127 616
Iterative solvers      567
Jacobian      210 600 650
Jacobian determinant      205
Jacobian matrix      209 290
Jacobian matrix, transformation      232
Jacobian, constant      269
Jaeger, J.C.      470 491
Jameson, A.      453 466
Javandel, I.      160 163
Jennings, A.      479 480 491 492
Jet overflow      160
Jet, free      160
Jirousek, J.      356 358 361 363
Johnson, C.      387 400 494 500 539 540
Johnson, M.W.      32 38
Joints, rigid      5
Jones, W.P.      46 84
Jump      504
Jun, S.      464 467
K matrix, singular      479
k: permeability      561
Kamei, A.      234 247
Kantorovitch, L.V.      56 85
Kassos, T.      72 85
Katona, M.      494 539
Katz, I.N.      416 428
Kaupp, P.      229 247
Kazarian, L.E.      564 574
Kelly, D.W.      74 85; 229 235 247; 363; 399; 428; 572
Kernel method, reproducing      464
Key, S.W.      309 343; 491
Kikichi, F.      74 85 361 363
Kikuchi, N.      161 163; 305
Koch, J.J.      2 3 17
Kong, D.      352 362
Koshgoftar, M.      161 163
Kosloff, D.      226 246; 275
Krizek, M.      375 398
Krok, J.      429 465
Kron, G.      348 362
Kronecker delta      170 389 441
Krylov, V.I.      56 85
Kulasetaram, S.      464 467
Kvamsdal, T.      545 550 551 573
Kythe, P.K.      84 86
L-shaped domain      368 413 416 420
Ladeveze, P.      383 388 391 394 399 400; 428
Ladkany, S.G.      355 362
Lagragian forms, constrained      83
Lagrange interpolation      228
Lagrange interpolation in time      523
Lagrange multiplier      282 346 349 361
Lagrange polynomials      172 445
Lagrange shape functions      171
Lagrangian elements, distorted      216
Lagrangian form, augmented      324
Lambert, T.D.      494 528 529 538
Lame elastic constants      604 632
Laminar flow regime      12
Laminations      115
1 2 3 4 5 6 7 8 9 10 11
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