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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
Error: cancellation of      223
Error: definition of      365
Error: discretization      32
Error: energy norm      387 405
Error: local stress      411
Error: local truncation      516
Error: order of      165
Error: RMS stress      367
Error: total permissible      405
Error: true      406
Error: truncation      499 531
Escher modes      263
Euler equations      62 63 75
Evans, J.H.      564 574
Evensen, D.A.      490 492
Exact integration      320
Exact nodal answers      147
Excessive continuity      287
Expansion: isotropic thermal      131
Expansion: polynomial      32
Expansion: quadratic      500
Expansion: stress field      353
Expansion: thermal      6
Expansion: three-dimensional thermal      130
Explicit dynamics      226
Explicit residual error estimator      387
Explicit scheme      336 497 521
Explicit-split process      569
Exponential Gauss function      435
Exterior elements      356
External boundaries      379
External loading      25
External nodal forces      118
External water pressure      102
External work      24
Extrapolation: Richardson      33
Extrapolation: stress      376
Extrusion problem      325
Extrusion, metal      544
Factors, eigenvalue participation      494
Farhat, Ch.      348 362
Fast Fourier Transform      486
FEAPpv (Finite Element Analysis Program)      576 579 583 618
Felippa, C.A.      222 246; 344; 550 567 573 574
Ferencz, R.M.      514 521 540; 618
Fibreglass      115
Fick's law      141
Fictitious compressibility matrix      324
Field approximation: partial      346—348
Field expansion, stress      353
Field methods: complete      276
Field methods: incomplete hybrid      346
Field problems, steady-state      140
Field strength, magnetic      155
Field: displacement      87
Field: incomplete      346
Field: oil      565
Field: thermal      544
Field: uniform stress      98
File: ASCII      576
File: output      591
Fill-in (matrix)      578
Film thickness      157
Films, squeeze      158
Finite differences      3 82 84 406 429 446 493 570
Finite element analysis program      576
Finite element approximation      632
Finite element discretization      143
Finite element program schematic      577
Finite element solution modules      597
Finite increment calculus      326
Finite point method      446
Finite volume      447 451 453
Finlayson, B.A.      1 16; 84
Finn, N.D.L.      494 539
First rank cartesian tensors      630
First-order equation      495
First-order problem      565
Fish, J.      430 465
Fix, G.J.      32 34 38; 246; 257 275
Fixed weighting function      440
Fjeld, S.      128 139
Fletcher, C.A.T.      82 86
Flexible wall      551
Flores, F.      453 466
Flow      12
Flow, axisymmetric heat      149
Flow, fluid      140
Flow, heat      41
Flow, ideal fluid      160
Flow, plastic      544
Flow, slow viscous      320
Flow, sphere heat      122
Flow, Stokes      318 335
Flows: free surface      159
Flows: incompressible      159
Flows: irrotational      159
Fluid flow      140
Fluid flow, ideal      160
Fluid flow, Stokes      318
Fluid interaction, soil-pore      558
Fluid networks      10
Fluid oscillating with wall      552
Fluid phase      561 571
Fluid problems      481
Fluid-structure interaction      542 543 545 547
Fluid-structure systems      571
Fluid-structure time-stepping scheme      553
Fluid: interstitial      564
Fluid: pore      562
Fluids, incompressible      555
Flutter      545
Flux      145 146 282 388 393 452
Flux boundary      74
Flux continuity, stress      361
Flux density      155
Flux, continuity of      283
Flux, normal      301 388
Force matrix      549
Force: inertia      470
Force: lateral inertia      472
Forced boundary condition      44 45 66 143
Forced periodic response      485 551
Forces: body      25 54 96 166 254 471
Forces: distributed body      23 119
Forces: equivalent nodal      23
Forces: external nodal      118
Forces: inertia      470
Forces: interelement      28
Forces: lateral inertia      472
Forces: nodal      6 95 351 471
Forces: prescribed nodal      578
Forcing motion, earthquake      556
Forcing term      406 504 506
Forcing, continuous      508
Formaggia, L.      138 139
Formula, two-point recurrence      497 also see Algorithms methods formulations
Formulation: displacement      19
Formulation: enhanced strain      293
Formulation: Galerkin      326
Formulation: hybrid      346
Formulation: incompatible      264
Formulation: irreducible      42 276 280 542 565 587
Formulation: mixed      42 276 304 342 346 542
Formulation: stress function      304
Formulation: three-field mixed      291
Formulation: two-field mixed      284
Forrest, A.R.      203 246
Forsythe, G.E.      446 465
Fortin, M.      314 323 324 343 344
Fortin, N.      314 343
FORTRAN      577
Fortran 95, DEC      576
Forward elimination      611
Foundation pile      124
Foundation response      261
Foundation: anisotropic porous      149
Foundation: dyke      563
Foundation: elastic      268
Foundation: rock      102
Foundation: stratified      150
Four-noded element, distorted      651
Four-point interpolation      527
Four-step algorithm, backward difference      521
Fourier series      47 167
Fourier transform, fast      486
Fourier's law      141
Fox, R.L.      35 38
Fracture mechanics      234
Fraeijs de Veubeke, B.      34 38; 198; 274; 304 305 306
Frame links      353
Frame of specified displacements      355
Frame parameters      351
Frame, interface displacement      350
Franca, L.P.      81 86; 333 338 345; 539
France, E.P.      564 574
Fraser, G.A.      260 275
Frazer, R.A.      46 84
Free index      629
Free jet      160
Free response      477 484
Free surface      160 356 547
Free surface flows      159
Free vibration      479 550
Frequencies, natural      550
Frequency response procedure      486
Freund, J.      82 86
Frictional resistance      471
Fried, I.      78 82 85 86; 198; 246; 479 491; 539
Friedmann, P.P.      545 549 550 573
Frontal method      405
Fujishiro, K.      405 427
Fully reduced matrix      611
Function      see under names of functions e.g. shape
Functional      1 63 76 143
Functional, constrained      78
Functional, energy      372
Functional, maximum of      69
Functional, minimum of      69
Functional, quadratic      61
Functional, variational      40
Furukawa, T.      464 467
Gago, J.P. de S.R.      193 197 199; 399; 428
Galerkin approximation, time discontinuous      536
Galerkin form      333 645
Galerkin formulation      326
Galerkin least square (GLS)      81 82 333 338
Galerkin method      39 46 47 64 83 143 284 447 451 453; Bubnov
Galerkin method, discontinuous      361 494 500
Galerkin method, element-free      429 430 453
Galerkin, B.G.      2 3 17; 47 84
Gallagher, R.H.      127 139; 247; 304
Gangaraj, S.K.      387 392 393 394 400
Gantmacher, F.R.      518 521 540
Gates, crest (spillway)      110
Gauss function: exponential      435
Gauss function: truncated      435
Gauss points      374 376
Gauss quadrature      218 219 259 371 374 598
Gauss — Legendre points      373
Gauss — Lobatto quadrature      457
Gauss, C.F.      2 3 17
Gaussian elimination      577 578
Gear algorithm      521
Gear, C.W.      494 521 539 541
General assembly process      9
General single-step algorithms      508
General triangular element      182
General variational principle      75
Generalised patch test      255
Generalized Newmark algorithm      508
Generalized strain      35
Generators, hexahedral mesh      405
Geometrical conformability      206
George, P.L.      229 247
Geradin, M.      545 550 573
Ghaboussi, J.      264 266 269 275
GiD algorithm, program      583 618
GiD — the Personal Pre/Postprocessor      139 139; 247; 618 618
Gingold, R.A.      464 466
Girault, V.      429 446 464
Global arrays      585
Global coefficient matrix      588
Global coordinates      208
Global energy norm      405
Global energy norm error      416
Global error estimator      421
Global finite element approximation      196
Global Functions      360 457
Global matrix      12
Global shape functions      50
Global stiffness matrix      577
Global tangent matrix      593
Glowinski, R.      323 324 344
GLS      338; see Galerkin Least Squares
GN algorithm      516
GN22 algorithm      514 515 529 531 533 553 566 571 593
GNpj algorithm      508 512 514 560
GNU algorithm      566
Godbole, P.N.      318 343
Gong, N.G.      404 415 420 421 424 427
Gonzalez, O.      514 521 540
Goodier, J.N.      22 23 38; 85; 99 111; 126; 139; 306
Gordon, W.J.      227 246
Gorensson, P.      545 550 573
Gould, P.L.      355 362
Gourgeon, H.      356 363
Gradient singularities      365
Gradients: interface      379
Gradients: potential      141
Gradients: recovery of      375
Grammel, R.      46 84
Gravity dam      110
Gravity dam: perforated      413
Gravity loading      102
Gravity waves, surface      547
Green's functions      356
Green's theorem      278 301 353 643
Gresho, P.M.      319 344
Grid: background      453
Grids, nesting      229
Griffiths, A.A.      234 247
Griffiths, D.      84 86
Griffiths, R.E.      251 275
Gross distortion      204
Growth: crystal      22 94
Gu, L.      430 453 465 466
Gui, W.      404 415 426
Guo, B.      404 415 426
Gupta, A.K.      604 618; 634
Gupta, K.K.      479 491; 573
Gupta, S.      551 573
Gurtin's variational principle      498
Gurtin, M.      498 540
Guymon, G.L.      69 85
h adaptivity      405
h convergence      59
h-refinement      402 404 412 420
Half-space, semi-infinite      229
Hall, C.A.      227 246
1 2 3 4 5 6 7 8 9 10 11
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