Page 350 - The Combined Finite-Discrete Element Method

INDEX 333

Particle mass, 2 Spatial orientation, 186, 190
Particle shape, 2 Spectral radius, 184
Particle size, 2 Stability of central difference, 182
Peak stress, 235 State of rest, 33, 202
Pebble, 200 Steady state, 220
Penalty function method, 37, 40 Stiffness matrix, 211
Penalty parameter, 62 Stiffness proportional damping, 215
Period error, 209 Strain, 142
Physical meaning of deformation gradient, 135 Strain softening, 232
Pinballs, 39 Strain softening bar, 236
Pirouetting, 201 Strain-hardening, 239
Plastic zone, 241, 242 Strain-softening curve, 239
Porous media, 258 Stress displacement diagram, 232
Position Verlet time integration scheme, 203 Stress wave, 253, 272, 275
Potential contact force, 41, 55, 67–72, 294 Stretch, 138,162
Potential energy, 38 Stretching of elemental volume, 155
Power law size distribution, 19, 20 Sub-h concept, 235
Pressure of detonation gas, 273 Super-h concept, 235
Pseudo-code, 33, 127 Surface traction force, 145, 165, 173

RAM, 4 Target, 41
RAM requirements, 76, 111–113, Temporal discretisation, 33, 180
Rate of deformation, 172, 317 Tetrahedron, 57
Reusability, 292 Theoretical density of monosized spheres, 23
Right stretch tensor, 142, 162, 171 Thin plate, 245
Rigid chamber, 259 Transformation matrix, 139, 187
Rocking, 202 Transient dynamics, 33, 35
Rotation, 139, 162 Transition from continua to discontinua, 28, 32
Rubber-like materials, 154 Translation, 137
Transparency, 277, 280, 292
Typical problem of discontinua, 4
Screening, 74, 89
Second Piola-Kirchhoff stress tensor, 149, 150
Segregation, 20 Uniform size distribution, 18, 20
Sensitivity to initial conditions, 223 UNIX, 278
Sensitivity to pack density, 75
Shape changing stretch, 153, 154, 164
Velocity field, 253
Sharp corners, 220
Velocity gradient, 170, 316
Singly connected list, 85
Visualisation, 33
Singular stress field, 244
VOD, 271
Size distribution, 16, 17
Volume changing stretch, 153, 154, 164
Sliding, 39
Sorting, 94, 303
Space decomposition, 103 Wave propagation, 233