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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
Models: neo-Hookean      341
Models: resultant constitutive      166
Modes: additional enhanced      248
Modes: bubble      187 196 198
Modes: enhanced      196
Modes: enhanced strain      248
Modes: rigid body      130
Modes: vibration      428
Modified modulus term      12
Modified Newton — Raphson method      26 34 84
Moduli: direct elastic      114
Moduli: shear elastic      114
Moduli: Young's      272
Mohr — Coulomb surface      56 89
Mohr — Coulomb yield conditions      62
Moist soil, freezing      14
Moita, G.F.      390 395
Moment invariants      433
Momentum, linear and angular      399
Mooney, M.      341
More, J.      28 36
Morgan, K.      14 21; 110; 258 259 260 261 262 265
Morley, L.S.D.      124 133 134 157 168 169; 214
Morse, P.M.      292 309
Motions: pseudo-rigid      396
Motions: rigid      398
Mroz, Z.      53 69 89 90 105 106 109
Mullen, R.      390 394
Multi-degree-of-freedom systems      30
Multi-surface plasticity, Koiter treatment      80
Multiaxial stress      49
Multibodies, coupled by joints      404
Multiple branches      22
Multiple solutions      23
Multipliers, penalty      261
Muncaster, R.G.      396 397 410
Murray, D.W.      384 385 393
Muscat, M.      101 110
Naghdi, P.M.      262 265
Nagtegaal, J.C.      72 107
Nakazawa, S.      69 106; 169; 183 212
Narasimhan, R.      183 213
Narayanaswami, R.      124 168
Nath, P.      84 96 108
Navaratna, D.R.      244 248 255 264
Nay, R.A.      162 163 171
Nayak, G.C.      51 54 57 62 104 105; 394; 436
Naylor, D.J.      63 106
Neal, M.O.      347 362
Neale, B.K.      157 171
Necessary requirements      184
Necking of a circular bar      357
Needleman, A.      90 93 109
Nelson, R.B.      308 311
Neo-Hookean models/materials      341 357
Neutral equilibrium, and stability      374
Newmark procedure      6 419
Newton matrix method      30 31
Newton — Raphson iteration      35 59 102 166 327 351
Newton — Raphson method      24 79
Newton — Raphson method, modified      26 84
Newton — Raphson process      59 336 379 392
Newton — Raphson process, negative features of      25
Newton — Raphson scheme      78 331 335 346 359
Newton — Raphson solution      313 324 326 339 345 352 354 369 403
Newton's method      see Newton — Raphson method
Newton, R.E.      385 393
Newton-type computer algorithms      415 416 417
Newton-type solution      46
Newton-type solution, strategy for      42
Nguyen, Q.A.      79 107
No-tension material      84
Nodal circles      246
Nodal displacement      218
Nodal forces      127
Nodal forces and tangent matrix terms      337
Nodal load vector      127
Nodal parameters      123 192
Nodal rotation      255
Nodal values      188
Nodal variables      134
Node transforms      220
Node-node contact      348
Node-surface contact/treatment      351
Node-surface contact/treatment between discs      355
Nodeless variables      255
Nodes: master      348 351
Nodes: slave      348 351
Noll, W.      345 361
Non-associated formulations      89
Non-associated plasticity      91
Non-associative case: frictional materials      68
Non-associative case: generalized plasticity      68
Non-associative hardening      53
Non-associative plasticity      52 60
Non-linear algebraic equations      22
Non-linear behaviour of solids: geometric non-linearity      1
Non-linear behaviour of solids: material non-linearity      1
Non-linear behaviour of solids: small deformation problems      3
Non-linear elastic behaviour      48
Non-linear formulation, transient and steady-state problems      6
Non-linear materials      38
Non-linear problems, computer program solutions      415
Non-linear quasi-harmonic field problems      12 101
Non-linear structural problems      365
Non-local approach      92
Non-uniqueness      23 90
Non-uniqueness in elasto-plastic deformations      88
Noor, A.K.      390 395
Normal direction cosines      225
Normal slopes      146
Normality principle (flow rule)      51
Norris, V.A.      63 106
Norton — Soderberg creep law      81
Novozhilov, V.V.      244 245 252 265; 310
Numerical integration      165 274
Numerical patch tests      186
Nygard, M.K.      124 132 169
Oancea, V.G.      355 363
Obrecht, H.      308 311
Oden, J.T.      162 171; 347 361
Offate, E.      162 163 164 172; 191 194 195 213 214; 258 259 260 261 262 265
Ogden, R.W.      341 342 343 361
Oliver, J.      91 109
Olson, M.D.      123 154 168; 241
One-dimensional beam example      159
Orthogonal functions      289
Orthogonal matrix      366
Orthogonal transformations      220
Ortiz, M.      90 93 109; 363
Otter, J.H.R.      17 21; 37
Ottosen, N.S.      93 110
Overlay models      54
Owen, D.R.J.      54 57 78 81 84 93 101 105 107 108 110; 171
Pacoste, C.      390 395
Paczelt, I.      347 363
Padlog, J.      386 393
Pagano, N.J.      3 20
Pamin, J.      91 93 109
Pande, G.N.      63 82 88 91 106 108 109
Papadopoulos, P.      188 191 195 196 200 211 213 214 215; 355 362 363; 397 410
Papadrakakis, M.      34 37
Parabolic axisymmetric shell elements      277
Parabolic-type elements      297
Parallelogram elements      128
Parameters: forms without rotational      208
Parameters: nodal      123 192
Parameters: rotational      208
Parekh, C.J.      217 226 227 231 232 240 242
Parisch, H.      286 287; 362; 393 394
Parks, D.M.      72 107
Parlett, B.N.      373 392; 431
Pascal triangle      154
Pastor, M.      19 20 21; 70 82 93 96 106 108 109 110
Patch count, and discrete collocation constraints      188
Patch tests      131
Patch tests and collocation constraints      195
Patch tests, an analytical requirement      134
Patch tests, continuity condition      135
Patch tests, curvilinear coordinates      128
Patch tests, numerical      186
Patch tests, plate bending elements      183
Patch tests, quadrilateral mixed elements      185
Patch tests, simple count      187
Patch tests, thick plate elements      203
Patch tests, triangular mixed elements      186
Patches: four-element      190
Patches: single-element      190
Path dependent behaviour      35
Paul, D.K.      70 106
Pawsey, S.F.      179 212; 280 283 286
Peano, A.      154 170
Penalty functions      261 350
Penalty multiplier      261
Penalty parameters      175
Penzien, J.      244 264
Peraire, J.      93 96 110
Percy J.H.      244 248 264
Perforated plate: plane strain solutions      73
Perforated plate: plane stress solutions      72
Peric, D.      93 110
Perturbing a Lagrange multiplier form      406
Perzyna, P.      79 83 107
Peterson, F.E.      45 104
Petocz, E.G.      397 411
Phillips, D.V.      84 108
Pian — Sumihara elements      199 334
Pica, A.      34 37
Picard iteration      29
Pietruszczak, S.T.      89 90 91 109
Pietrzak, G.      355 363
Pijaudier-Cabot, G.      90 91 92 93 109
Piola — Kirchhoff stress      317 320 328 333 339 345 368 369
Piola — Kirchhoff stress matrix      321
Pipe penetration      284
Pister, K.S.      4 21; 45 46 104
Plan, T.H.H.      31 36; 171; 248 255 264; 361; 395
Plane element stiffness      218
Plane strain solutions, perforated plate      73
Plane stress      165
Plane stress solutions, perforated plate      72
Plane stress, $J_2$      66
Plastic behaviour      48
Plastic computation, examples of      71
Plastic correction      58
Plastic deformation, sustained      51
Plastic deviatoric strain rates      64
Plastic flow rule potential      51
Plastic localization calculation      96
Plastic material, hardening/softening of      48
Plastic mechanisms      93
Plastic potentials, additional      88
Plastic strain rate      51 54
Plastic stress-strain relations      54
Plastic yield surfaces      87
Plasticity models      343
Plasticity models, finite deformation      358
Plasticity models, isotropic      61
Plasticity: associative      52 60
Plasticity: constitutive model construction      54
Plasticity: non-associated      91
Plasticity: non-associative      52 60
Plasticity: rate form equations      64
Plasticity: time-independent theory      48
Plasticity: upper and lower bound theorems      52
Plate bending, initial stress matrix for      381
Plate elements      157
Plates: bending      111
Plates: bending elements      183
Plates: bending stiffness      114
Plates: bending strains      117
Plates: bending triangles      151
Plates: boundary conditions      116
Plates: circular, bending      262
Plates: clamped      175 384
Plates: composites      118
Plates: cylindrical bending      113 114
Plates: definition      1
Plates: discrete exact thin limit      202
Plates: displacement formulation      122
Plates: equilibrium equations      115
Plates: governing equations      113
Plates: homogeneous      158
Plates: hybrid      157
Plates: in-plate plate stiffness      114
Plates: internal/external virtual work      121
Plates: isotropic elasticity      118
Plates: isotropic homogeneous      380
Plates: large deflection problems      383
Plates: large displacement theory      375
Plates: large displacement theory, Reissner — Mindlin      173
Plates: large displacement theory, Reissner — Mindlin, and shells      277
Plates: large displacement theory, thin      111 112
Plates: large displacement theory, thin irreducible approximation      120
Plates: large displacement theory, transverse shear group strains      117
Plates: large displacement theory, twisting moments      118
Plates: non-homogeneous      158
Plates: non-linear formulation      379
Plates: point loads      176
Plates: rectangular      125
Plates: square simply supported      278
Plates: square with clamped edges      136 139
Plates: strain components in      165
Plates: thick      173 180 203
Plates: with flexure      296
Pnezien, J.      244 264
Point collocation of nodes      193
Point loads on plates      176
Point numbering      222
Poisson ratio operator      48
Poisson's ratio      67 73 114 118 272
Polak, E.      34 37
Polar decomposition of the deformation gradient      398
Polygonal shape approximation, to a curved shell      249
Polynomials: area coordinate      130
Polynomials: complete linear      129
Polynomials: Hermitian      152 296
Polynomials: Legendre      256
Polynomials: Postulates, Reissner — Mindlin      111
Polynomials: quintic      153
Popov, E.P.      70 106; 264
Poster, K.S.      4 21
Potential energy principle      193
Power station, underground      84
Prager, W.      51 52 53 62 104 106
Prakash, A.      54 105
Pramono, E.      90 109
Prandtl — Reuss equations      63
Prandtl — Reuss-strain relations      65
Pratt, C.      217 241
Press, W.H.      413 430; 436
Pressure approximations      11
Pressure loads, and deformation dependent forces      336
Principal stretches, logarithmic form      342
Principal tensile stresses, elimination of      84
Principles: constrained potential energy      193
Principles: d’Alembert      323
Principles: Hellinger — Reissner      156
Prismatic bar      292
Procedures: discretization      176
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