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Wriggers P. — Computational Contact Mechanics
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Название: Computational Contact MechanicsАвтор: 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: Рубрика: Физика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2002Количество страниц: 441Добавлена в каталог: 08.11.2010Операции: Положить на полку |
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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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