Page 349 - The Combined Finite-Discrete Element Method
P. 349
332 INDEX
Direct mapping, 87 Idealised three-body problem, 220
Discontinuum, 2 Ill-posed problem, 231
Discrete crack model, 239 Impact problem, 222
Discretisation into finite elements, 28 In-core database, 40, 278
Discretised contact force, 43, 295 Inertia, 276
Domain subdivision, 286, 287 Initial frame, 133, 166
Dynamic memory allocation, 292 Interacting solids, 36
Dynamic relaxation, 211 Internal energy, 266
Dynamic relaxation schemes, 218 Irregular discrete elements, 185
Isentropic adiabatic expansion, 262
Iso-h concept, 235
Eluerian grid, 256, 276
Isotropic plasticity, 235
Energy balance, 237
Energy dissipation, 32, 238
Key diagnostics, 33
Energy preservation, 54, 65–67
Kinematics of discrete element, 186
Equation of motion, 188
Kinetic energy, 52, 254, 275
Equation of state, 259
K-orthogonality, 213
Error of approximation, 244
Expansion of gas, 259, 264
Experimental results, 229 Lagrangian grid, 256, 276
Explosive, 253 Lagrangian multiplier method, 36
Explosive charge, 252 Least square method, 36
Left stretch tensor, 142, 162, 171
Localisation, 235
Finite element method, 2
Logarithmic strain tensor, 177
Finite rotation, 174
Loss of symmetry, 221
Finite strain elasticity, 33, 313
First Piola-Kirchhoff stress tensor, 145, 146, 147
Mach number, 267
Flexible container problem, 27
Macro, 291
Flow through cracks, 258
Mapping, 104
Fluid coupling, 33, 256
Mass distribution, 1
Forest and Ruth time integration scheme, 207
Mass matrix, 211
FORTRAN, 33, 280, 292
Mass proportional damping, 215
Fracture, 28, 231
Matrix of deformation gradient, 134, 316
Fracture energy release rate, 231
Maximum theoretical density, 5
Fracture load, 249
Mesh sensitivity, 236, 250, 251
Fracture sequence, 238
Micro-polar Cosserat continuum, 232
Fracture solutions, 254
Microstructure of material, 1
Fragmentation, 28, 29
Monosized spheres, 4
Frame of reference, 132, 185, 313
M-orthogonality, 213
Friction, 39
Munjiza time integration scheme, 194
Frictional slip, 231
Functional, 36
NBS, 74, 102, 304
Nodal forces, 46, 165, 318
Gas pressure, 256 Non-local constitutive law, 232
Gear’s time integration scheme, 204 Numerical methods, 1
Governing equations, 1
Grand challenge computing, 281, 282 Overdamped system, 215
Gravitational deposition, 5 Overshooting, 214
Green-St. Venant strain tensor, 143, 163, 317
Grid computing, 288 Pack density profile, 11
Griffith method, 231
Pack of spheres, 7, 15
Packing, 4
Hard-disk, 278 Packing-motion sequence, 5
Heap of fragments, 47 Packs comprising different shapes, 24
Homogeneous deformation, 137 Paging, 278
Hooks law, 152 Particle locking, 20
