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Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 2, Solid mechanics)
Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 2, Solid mechanics)



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Название: The finite element method (vol. 2, Solid mechanics)

Авторы: Zienkiewicz O.C., Taylor L.R.

Аннотация:

In the years since the fourth edition of this seminal work was published, active research has 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 Two: Solid and Structural Mechanics is intended for readers studying structural mechanics at a higher level. Although it is an ideal companion volume to Volume One: The Basis, this advanced text also functions as a "stand-alone" volume, accessible to those who have been introduced to the Finite Element Method through a different route.


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: 479

Добавлена в каталог: 20.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Procedures: Galerkin      181
Processes: Galerkin      176
Processes: Newton — Raphson      336
Processes: semi-analytical finite element      289
Processes: static condensation      203 336
Prony series      43
Properties, curved elements      254
Propped cantilever, Euler buckling      374
Pseudo-rigid motions      396
Pugh, E.D.L.      179 185 188 212
Push forward transformation      340
Qu, S.      69 106; 169; 183 212
Quadratic displacement approximations      162
Quadratic fully integrated elements (QS)      179
Quadratic interpolation      194 198
Quadratic triangles      135
Quadratics, lagrangian (QL)      179 190
Quadrature formulae      248 274
Quadrilaterals: and discrete collocation constraints      187
Quadrilaterals: elements      128 149 183
Quadrilaterals: linear      200
Quadrilaterals: mixed elements, patch tests      185
Quartic and quintic elements      154
Quasi-conforming elements      150
Quasi-harmonic field problems, non-linear      12 101
Quasi-harmonic problem      13
Quasi-Newton method      26 31 34
Quintic polynomials      153
Railway bridge      138
Ralston, A.      24 29 36
Ramm, E.      31 37; 215; 242; 287 288; 337 360 361; 393 394
Rankin, C.C.      390 394
Rao, R.S.      188 214
Rate constitutive models      345
Rates of convergence      145
Rayleigh quotient form      374
Razzaque, A.      124 144 150 159 162 168 170 171; 242; 393
Rectangular element (12 DOF)      124
Rectangular quadrilateral elements      209
Recursion formula      46
Reduced (selective) integration      182
Reeves, C.M.      34 37
Reference configuration      312 314
Reference configuration formulation      320
Regula falsi procedure      30
Reinforced concrete: as a no tension material      84
Reinforced concrete: cracking of      86
Reinsch, C.      415 425 430
Reissner — Mindlin assumptions      266
Reissner — Mindlin postulates      111
Reissner — Mindlin thick plates      173
Reissner, E.      111 167; 242; 388 392 394
Relaxation moduli      39
Relaxation modulus function      43
Relaxation times      39 41
REP methods      94
Repetto, E.A.      347 363
Restart option, FEAPpv computer program      428
Resultant constitutive models      166
Retaining wall, earthquake excitation of      19
Retardation time parameters      40
Return map algorithm      58 80
Revolute joint      407
Rice, J.R.      72 89 90 107 109; 361
Riesa, J.D.      237 243
Rifai, M.S.      218 241; 287; 394
Rigid bodies: connected to a flexible body      402
Rigid bodies: equations of motion      399
Rigid bodies: modes      130
Rigid footing, failure of      98
Rigid motions      398
Riks, E.      31 36
Ristic, S.      390 395
Roberts, T.M.      388 394
Robichaud, L.P.A.      217 240
Rockey, K.C.      385 393
Rods, definition of      1
Roehi, D.      210 215; 287; 360
Rotating disc, numerical example      409
Rotation, nodal      255
Rotation-free elements      162
Rotational constraints, on joints/couplings      406 407
Rotational parameters      208
Rotational stiffness, 6 DOF      225
Rotational treatment      227
Rotations      202
Rotations and displacement fields      270
Rots, J.G.      84 108
Rubinstein, M.F.      77 107
Rubio, C.      93 110
Rudnicki, J.W.      89 90 109
Runcsson, K.      93 110
Runge — Kutta method/process/procedure      36 57
Russell, H.G.      48 104
Rybicki, E.F.      72 107
Sabir, A.      217 241
Sackman, J.L.      347 362
Sacks, S.      58 105
Saigal, S.      286 288
Saint — Venant — Kirchhoff material model      409
Saint — Venant — Kirchhoff model      320
Saint — Venant — Kirchhoff relation      397
Saint — Venaut — Kirchhoff stored energy model      320
Sakurai, T.      56 105
Samuelsson, A.      124 132 169
Sander, G.      123 149 157 167
Sanders, J.L.(Jr.)      257 259 265
Scapolla, T.      120 145 167; 214
Scharpf, D.W.      123 154 168;
Schmidt, R.      371
Schmit, L.A.      72 107; 144 168; 240; 393
Schnabel, F.      308 311
Schnobrich, W.C.      283 286 287
Schoenberg, I.J.      306 310
Schrefler, B.A.      19 20 21; 82 106 108
Schwarz, H.R.      24 36
Schweizerhof, K.      337 347 361 362; 392
Scordelis, A.C.      234 243; 286; 311
Scott, R.F.      20 21
Secant method      28
Secant procedure      30
Secant update method      29
Second-order system solution using GN22      423
Second-order tensors, invariants of      432
Seepage flow      101
Seiss, C.P.      84 108
Selective integration      182
Seller, C.      308 311
Semi-analytical finite element processes      289
Semi-analytical finite strips      305
Sen, S.K.      244 255 264
Serendipity element, eight-node      286
Serendipity functions      201
Serendipity quadratic elements      179 183
Setlur, A.V.      156 170
Shabana, A.A.      396 407 410
Shallow shells      388
Shames, I.H.      3 20; 106; 242; 317 328 338 339 341 360; 436
Shape functions      124 129 133 145 208 290
Shape functions and continuity requirements      122
Shape functions, simple triangular element      145
Shape functions, substitute      150
Shape functions, thin plates      112
Shapiro, G.S.      166 172
Sharma, K.G.      88 109
Shear deformation, plates      114
Shear locking      369
Shear relaxation modulus function      43
Shear rigidity      189
Shearing stresses, and laminar material      87
Shells: and rigid bodies      404
Shells: and thick plates      277
Shells: as an assembly of flat elements      216
Shells: axisymmetric      217 244 387
Shells: axisymmetric with non-symmetrical load      303
Shells: axisymmetric, curved, thick      275
Shells: bending      111
Shells: branching      260
Shells: classical treatment of      216
Shells: curved      249 267
Shells: cylindrical      250 281
Shells: definition      1
Shells: divided into triangular elements      223
Shells: fiat element approximation for      217
Shells: finite element method      217
Shells: general theories      218
Shells: hemispherical      251
Shells: in-plane force resultants      216
Shells: inelastic behaviour      279
Shells: non-linear response and stability      386
Shells: problem treatment methods      216
Shells: shallow shell theory      217
Shells: shallow, co-rotational forms      388
Shells: spherical shell problem      227
Shells: stability of      390
Shells: stress representation      274
Shells: thick, axisymmetric, curved      275
Shells: three-dimensional analysis      266
Shells: toroidal, under pressure      258
Shells: with displacement and rotation parameters      266
Sherman — Morrison — Woodbury formula      69
Shewchuk, J.      430 431
Shi, G.-H.      397 411
Shi, J.      359 364; 395
Shiomi, T.      70 106
Silvester, P.      101 110
Simo, J.C.      4 11 21; 36; 51 53 56 58 59 66 68 80 89 90 91 105 106 109; 128 133 169; 183 212; 226 241 242; 287; 328 332 337 338 341 342 343 344 346 347 355 358 359 360 361 362 363 364; 367 373 386 392 393 394; 399 401 404 410 411
Single rotational constraint joints      407
Single translational constraint joints      407
Skew curved bridge      137
Skew-symmetric stress component      229
Slave nodes      348 351
Slip line (localization) capture      93
Sloan, S.W.      89 90 109
Slope-displacement interpolation      261
Slopes, normal      146
Sluys, L.J.      91 93 109
Small deformation non-linear solid mechanics problems      3
Small rotations, large displacement formulation      370
Smith, I.M.      123 168
Smoothed elements      150
Softening behaviour      31
Softening of plastic material      48
Softening/hardening rules      52
Soil mechanics/behaviour: associated and non-associated issue      83
Soil mechanics/behaviour: viscoplastic models for      82
Sokolnikoff, I.S.      3 20; 286; 304 310
Solberg, J.M.      347 362; 397 410
Solid mechanics: general problems      1
Solid mechanics: small deformation      3
Solution by analogies      48
Solution, fine element      377
Solutions: elasto-plastic      249
Solutions: large deflection problems      383
Solutions: Newton — Raphson      324 326 339
Southwell, R.V.      124 169
Specht, B.      124 132 169
Spherical cap      284
Spherical dome      257 279
Spherical dome under uniform pressure      281
Spherical path controls      31
Spherical points      407
Spherical shell problem      227
Spherical test problem      226
Spinning constrained disc      405
Spline finite strip method      305 308
Spline functions      306
Spontaneous ignition      15 102
SPR methods      94
Spring-dashpot model      39
Square plates, clamped edges      136 139
Stability: and large plate deflections      385
Stability: and neutral equilibrium      374
Stability: of equilibrium      373
Stability: shells      390
Standard barrel vault problem      230
Static condensation      203 249 336
Static equilibrium, Euler equations for      321
Static problems, computer program solutions      415
Steady-state problems: computer program solutions      415
Steady-state problems: non-linear formulation      6
Stebbins, F.J.      308 311
Steel pressure vessel, plastic computation with      75
Stegun, I.A.      165 172; 393
Stein, E.      210 215; 287; 363; 394; 411
Steinmann, P.      93 110
Step-size control, computer programs      416
Stiefel, E.      34 37
Stiffness matrix      127 128 131 133 134 219 221 248 272 293
Stiffness matrix, isotropic elastic material      300
Stiffness: geometric      3 328
Stiffness: initial stress      3
Stiffness: rotational      225
Stolarski, H.      217 241; 287; 394
Stolarski, H.K.      188 213 214; 363
Stored energy function      340
Strain components      245
Strain expressions for curved elements      254
Strain rates: plastic      51
Strain rates: plastic deviatofic      64
Strain softening      89 97
Strain tensor, Green — Lagrange      368
Strain tensors      316
Strain-displacement equations, mixed form      11
Strain-displacement matrices: evaluation of      182
Strain-displacement matrices: finite element evaluation      378
Strain-displacement matrix      5
Strain-displacement operator      174
Strain-displacement relations      247
Strain-driven form      42
Strain: enhanced strain methods      332
Strain: global      276
Strain: Green      322
Strain: Green — Lagrange      376 387
Strain: mixed form expression      10
Strain: recovery procedures      94
Strains and stresses, definitions      271 303
Strang, G.      28 29 31 34 36; 416 430
Stress deviator      41
Stress divergence      6
Stress field, equilibrating      157
Stress hardening relations      66
Stress increment computation      56
Stress increment computation, explicit methods      57
Stress increment computation, implicit methods      57
Stress measures      316
Stress rate form, Jaumann — Zaremba      346
Stress representation, shells      274
Stress resultants      113 245
Stress rome      6
Stress tensor, Piola — Kirchhoff      334
Stress transfer method      26
Stress: Cauchy      316 318 325 329 339 342 345 359
Stress: Kirchhoff      316 317 325 329 342 343 344 345 358
Stress: membrane      250
Stress: mixed form expression      10
Stress: multiaxial      49
Stress: Piola — Kimhhoff      317 320 321 339 345 368
Stress: recovery procedures      94
Stress: stress function      302
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