acceleration
of gravity 251
linear 246
particle 263
vector 245
accretionary wedge 393, 410
Airy stress function 310, 313
Amonton’s law 351
Anderson’s standard state 229
anisotropy 325, 416
elastic 325
viscous 416
annum 124
anticrack 17
arc length 82
azimuth 54
basin and range 436
binomial distribution 67
boundary condition 46, 132, 214
boundary value problem 10, 236,
279, 285, 299, 308, 388
boudinage 423
brittle state 334, 338
brittle-ductile transition 7
Buckingham theorem 140
Burgers vector 302
Byerlee’s law 354
cartographic criterion
equidistance, conformality,
equivalency 30
Cauchy’s tetrahedron 203, 213,
215
Cauchy’s formula 213
center of gravity 252
center of mass 249
cleavage 169
compatibility 310, 314
compliance 326
composite material 446
compressibility 295
conservation law
of angular momentum 252, 274
of linear momentum 250, 269
of mass 266
constitutive law 276, 278, 283, 326,
416
continuity 266, 268
continuum 124
convention
on-in 209
right-hand 54, 90, 99, 216, 247
coordinates
Eulerian 263
Lagrangian 262
material 262
right-handed 36, 39
spatial 263
coordinate system
Cartesian 34, 36
cylindrical 44
elliptical 47
polar 45
spherical 48
correspondence principle 387
Coulomb
criterion 358
critical angle 360
critical stress 361
stress 359
curvature
Gaussian 114
mean principal normal 114
principal normal 110, 113
principal directions of normal 111,
113
radius of 86
scalar 85
vector 84
cylindrical structure 299
damage zone 355
datum 27
sea level 29
deformation
gradient 185, 190
Green tensor of 190
homogeneous 154, 189
inelastic 293
progressive 177
degree Celsius 124
diapir 137
differential geometry 75
dike 9, 40, 47, 100
dimensional analysis 127
direct method of 133, 135
Rayleigh method of 137
dimensional homogeneity 128
dimensionless group 132
dip
angle of 55
apparent 55
direction of 54
direction angle 38, 42, 68
direction cosine 43 ,68
direction number 112
dislocation
core 302
edge 301
glide plane 302
line 301
screw 302
displacement
discontinuity of 469
gradient of 185
vector 160, 185, 191
divergence 268
divergence theorem 275
ductile state 338
dynamics
particle 245
rigid body 248
effective spring constant 202
effective thickness 466
eigenvalue 219
eigenvector 219
elastic modulus
bulk 298
shear 278, 298
Lame’s 278, 299
Poisson’s ratio 295
tangent 294
Young’s 294
elastic solid
linear 292
non-linear 293
orthotropic 329
transversally isotropic
328
elastic heterogeneity 323
element
linear 52
planar 52
epicenter 7
equation of state 283
equilibrium
quasi-static 280, 309
static 251, 253
Index
of gravity 251
linear 246
particle 263
vector 245
accretionary wedge 393, 410
Airy stress function 310, 313
Amonton’s law 351
Anderson’s standard state 229
anisotropy 325, 416
elastic 325
viscous 416
annum 124
anticrack 17
arc length 82
azimuth 54
basin and range 436
binomial distribution 67
boundary condition 46, 132, 214
boundary value problem 10, 236,
279, 285, 299, 308, 388
boudinage 423
brittle state 334, 338
brittle-ductile transition 7
Buckingham theorem 140
Burgers vector 302
Byerlee’s law 354
cartographic criterion
equidistance, conformality,
equivalency 30
Cauchy’s tetrahedron 203, 213,
215
Cauchy’s formula 213
center of gravity 252
center of mass 249
cleavage 169
compatibility 310, 314
compliance 326
composite material 446
compressibility 295
conservation law
of angular momentum 252, 274
of linear momentum 250, 269
of mass 266
constitutive law 276, 278, 283, 326,
416
continuity 266, 268
continuum 124
convention
on-in 209
right-hand 54, 90, 99, 216, 247
coordinates
Eulerian 263
Lagrangian 262
material 262
right-handed 36, 39
spatial 263
coordinate system
Cartesian 34, 36
cylindrical 44
elliptical 47
polar 45
spherical 48
correspondence principle 387
Coulomb
criterion 358
critical angle 360
critical stress 361
stress 359
curvature
Gaussian 114
mean principal normal 114
principal normal 110, 113
principal directions of normal 111,
113
radius of 86
scalar 85
vector 84
cylindrical structure 299
damage zone 355
datum 27
sea level 29
deformation
gradient 185, 190
Green tensor of 190
homogeneous 154, 189
inelastic 293
progressive 177
degree Celsius 124
diapir 137
differential geometry 75
dike 9, 40, 47, 100
dimensional analysis 127
direct method of 133, 135
Rayleigh method of 137
dimensional homogeneity 128
dimensionless group 132
dip
angle of 55
apparent 55
direction of 54
direction angle 38, 42, 68
direction cosine 43 ,68
direction number 112
dislocation
core 302
edge 301
glide plane 302
line 301
screw 302
displacement
discontinuity of 469
gradient of 185
vector 160, 185, 191
divergence 268
divergence theorem 275
ductile state 338
dynamics
particle 245
rigid body 248
effective spring constant 202
effective thickness 466
eigenvalue 219
eigenvector 219
elastic modulus
bulk 298
shear 278, 298
Lame’s 278, 299
Poisson’s ratio 295
tangent 294
Young’s 294
elastic solid
linear 292
non-linear 293
orthotropic 329
transversally isotropic
328
elastic heterogeneity 323
element
linear 52
planar 52
epicenter 7
equation of state 283
equilibrium
quasi-static 280, 309
static 251, 253
Index