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Wriggers P. — Computational Contact Mechanics
Wriggers P. — Computational Contact Mechanics



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Название: Computational Contact Mechanics

Автор: Wriggers P.

Аннотация:

Boundary value problems involving contact are important for industrial applications in both mechanical and civil engineering, such as structural foundations, bearings, metal forming processes, rubber sealings, drilling problems, crash analysis of cars, rolling contact between car tyres and the road, cooling of electronic devices, and many more. Other applications are related to biomechanical engineering design, where human joints, implants or teeth are considered. Due to this variety, contact problems today are combined either with large elastic or inelastic deformations, including time-dependent responses. Thermal coupling may also have to be considered, and even stability behaviour has to be linked to contact, such as wrinkling arising in metal forming problems.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 441

Добавлена в каталог: 08.11.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abrasive wear      90
Accelerations      273
Accumulated sliding distance      77
Active constraints      390
Active set strategy      99
Adaptive methods      355
Adaptive methods, dual error estimators      365
Adaptive methods, friction      379
Adaptive methods, mesh refinement      369
Adaptive methods, projection methods      362
Adaptive methods, residual-based error measures      358
Adaptive methods, transfer of history variables      382
Adhesion      86 306
Adhesion, algorithm      306
Adhesion, friction      87
Adhesion, normal contact      86
Adhesion, time integration      306
Adhesion, viscosity      87
Approach of two bodies      60
Arc-length      408
Asperities      58
Augmented Lagrange method      109 288
Barrier method      108
Beam contact      338
Beam contact, contact condition      339
Beam contact, contact search      348
Beam contact, Coulomb friction      345
Beam contact, discretization      346
Beam contact, gap function      338
Beam contact, normal vector      340
Beam contact, slip path      341
Beam contact, tangent matrix      347
Beam contact, tangential gap      344
Beam contact, variation      342
Beam contact, weak form      344
Bezier interpolation      237
BFGS update      294
Bifurcation      389
Block Gauss — Seidel method, nonlinear      298
Body force      26
Boundary lubrication      84
Bounding box      263
Bucket search      263
Cauchy stress      33 57
Cauchy theorem      26
Central difference scheme      274
Christoffel tensor      408
Closest point projection      205 220 234
coating      73
Condition for stick      50
Contact algorithms, active set method      295
Contact algorithms, Dirichlet — Neumann method      298
Contact algorithms, dynamic contact      299
Contact algorithms, Lagrange multiplier method      286
Contact algorithms, linear complementary problem      297
Contact algorithms, partitioning method      290
Contact algorithms, penalty method      284 303
Contact algorithms, SQP method      294
Contact algorithms, Uszawa method      288 304
Contact conductivity      316
Contact constraints      162
Contact constraints, continuous      47
Contact constraints, discrete      166 172 178 186 269 279
Contact discretization, large deformation      204
Contact discretization, small deformation      162
Contact element, Bezier interpolation      237
Contact element, Hermitian interpolation      233
Contact element, node-to-edge      227
Contact element, node-to-node      166 229 324
Contact element, node-to-segment      328
Contact element, node-to-surface      219 224
Contact element, segment-to-segment      183
Contact element, smooth interpolation      231
Contact element, surface-to-surface      172
Contact interface, fractal surface      91
Contact interface, gas conductance      317
Contact interface, heat conduction      314
Contact interface, micromechanical approach      58
Contact interface, radiation      319
Contact interface, spot conductance      316
Contact normal      47
contact search      261—262
Contact search, area check      269
Contact search, beam contact      348
Contact search, bounding box      263
Contact search, grid cell algorithm      266
Contact search, heapsort algorithm      266
Contact search, node-to-segment      268
Contact search, non-uniqueness      269
Contact search, octree method      266
Contact search, spatial search      264
Contact search, superquadrics      267
Contact segments      183
Contact segments, intermediate line      186
Contact segments, residual      188
Contact segments, tangent matrix      188
Contact, bars      6
Contact, bifurcation      389
Contact, finite strains      98
Contact-impact      299
Continuum element, three-dimensional      146 155
Continuum element, two-dimensional      152
Contravariant basis      407
Contravariant vectors      406
Convective coordinates      405 407
Coulomb friction      64 107 170 215 248 333 345
Coulomb friction, dynamic law      64
Coulomb friction, integration      307
Coulomb friction, regularization      65
Coulomb — Orowan friction law      72
Courant criterion      274—275
Covariant vectors      406
Critical points, contact      389
Critical points, extended system      391
Cross-constraint method      111
Curvature tensor      52 407
Debonding      87
Deformation gradient      21 146 312
Delaunay triangularization      370
density      26
Direct constraint elimination      104 188
Direct elimination method      116
Directional derivative      38
Directional derivative, contravariant basis      39
Directional derivative, covariant basis      39
Discretized equations, dynamics      150
Dissipation rate      90
Distance function      47
Dual formulation      282
Dynamic friction coefficient      64
Eigenvalue problem      391
Elasto-hydrodynamic      83
Equation of motions      273
Error estimators, dual principles      365
Error estimators, residual-based      358
Error indicators, friction      379
Error indicators, superconvergence      362 380
Euler backward scheme, friction      307
Existence      96 98
Explicit time integration      274
Extended system      391
Feasible solution      295
Fourier law      314
Fractal contact interface      91 377
Fractal graph      92
Fractal interpolation function      91—92
Friction coefficient      64 75 77
Friction coefficient, material pairings      64
Friction, anisotropic law      71
Friction, augmented Lagrange method      109
Friction, bench mark test      255
Friction, Coulomb — Orowan law      72
Friction, dissipation      68 308
Friction, elastic-plastic approach      67
Friction, homogenization      79
Friction, metal-forming      72
Friction, moving cone      213 308
Friction, path      51
Friction, penalty method      303
Friction, polymer      73
Friction, rubber      73
Friction, Shaw law      72
Friction, slip increment      307
Friction, soil      76
Friction, symmetric treatment      305
Friction, time integration      302
Friction, time integration for soil      310
Friction, uniqueness      96
Friction, Uszawa algorithm      304
Frictionless contact      57 224 227 229 231 237 391
Frictionless, augmented Lagrange method      109
Gap      2 47 390
Gap function      47 162 166 172 186 195 205 219
Gap, non penetration condition      47
Gap, penetration function      48
Gas      318
Gauss integration      195
Gauss integration, one-dimensional      402
Gauss integration, two-dimensional      403
Grid cell algorithm      266
Heapsort Algorithm      266
Heat conductance      326
Heat conduction, gas      317
Heat conduction, radiation      319
Heat conduction, spots      316
Heat flux      314
Heat flux vector      320
Hertz — Signorini — Moreau conditions      57
High contact precision      58 288
History data transfer      382
History dependent problems      382
Holm — Archard law      90
Homogenization      79
Hyperelastic material      32 129
Hyperelastic material, Neo-Hookian      32
Hyperelastic material, rate form      34
Ill-conditioning      288
Ill-conditioning, augmented Lagrange method      110
impact      13
Implicit time integration      274
Implicit time integration, friction      307
Incremental elasticity tensor      41
Incremental hyperelastic constitutive equation      34
Initial stress      41
Initial value problem, thermo-mechanical contact      320
Intersection check      264
Isoparametric elements      136
Isoparametric elements, computation of gradients      138
Isoparametric elements, deformations      137
Isoparametric elements, one-dimensional shape functions      139
Isoparametric elements, quadrilateral elements      142
Isoparametric elements, three-dimensional interpolation      143
Isoparametric elements, triangular elements      141
Isoparametric elements, two-dimensional shape functions      141
Iterated function system      91
Jamming      285
Kuhn — Tucker — Karush conditions      3 57
Lagrange multiplier method      100 114 163 280
Lagrange multiplier, algorithm      286
Lagrange multipliers      3
Lame constants      33
Large deformation, contact      204
Large sliding      204
Line search      295
Linear complementary problem      297
Linearization      118
Linearization, constitutive equations      40
Linearization, contact terms      118
Linearization, normal gap      120
Linearization, normal vector      120
Linearization, stick case      124
Linearization, strain measures      39
Linearization, surface coordinate      120
Linearization, tangential part      123
Linearization, variation of gap function      225
Linearization, weak form      40 281
Load parameter      271
Local balance of momentum      28 97
Low contact precision      56
Lubrication      62 83
Lubrication, viscosity coefficient      85
Mass matrix      148 163 273
Mathematical programming      99
Mean plane distance      60 112
Merit function      295
Metric tensor      52 407
Micromechanical approach      58
Minimization problem      280
Minimum distance      47 205 220 234
Mortar method      164 188 298
Moving cone algorithm      215 308
Moving friction cone      213
Newmark method      276
Newton method      36 150 272 274 302 307 327 339 410
Newton method, linearization      40
Nitsche method      117 164 194
Node-to-edge element      227
Node-to-node element      166 229 324
Node-to-node element, friction      170
Node-to-node element, frictionless      166
Node-to-node element, Lagrange multipliers      167
Node-to-node element, penalty method      168
Node-to-node element, thermo-mechanical contact      326
Node-to-segment element      204 213 231 298 328
Node-to-segment element, Bezier      237
Node-to-segment element, friction      207 242
Node-to-segment element, Hermite      231
Node-to-segment element, Lagrange multiplier      210—211
Node-to-segment element, linearization      210
Node-to-segment element, penalty method      210
Node-to-segment element, variation      205
Node-to-surface element, quad      219
Node-to-surface element, triangle      225
Nominal stress      57
Non-matching grids      164 183
Non-penetration condition      47
Normal contact, constitutive equation      60 111
Normal contact, non penetration condition      57
Normal contact, statistical model      60
Normal vector      47 407
Numerical derivative      392
Octree method      266
Operator split algorithm      324
Operator split, thermo-mechanical contact      323
Parallel computers      297
Parameter identification      78—79 409
Penalty method      4 102 115 166 225 232 239 280 284 390
Penalty parameter      101 285
Penalty parameter, estimation      285
penetration      47 390
Penetration function      47 101
Perturbed Lagrange formulation      107 179 183
Ploughing      62
Polymer, friction      73
Polymer, friction coefficient      76
potential energy      31
Potential energy, contact      99
Projection tensor      57
Quadratic program      294—295
Radiation      319
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