Page 371 - Intro to Tensor Calculus
P. 371
INDEX 365
H M
Hamiltonian 208
Magnitude of vector 80
Heat equation 316
Magnetostatics 334,338
Hexagonal material 247
Magnetic field 334
Higher order tensors 47, 93
Magnetization vector 337
Hooke’s law 212, 242, 252
Magnetic permeability 337
Hydrodynamic equations 283
Material derivative 234, 288
I
Material symmetry 244, 246
Ideal fluid 283 Maxwell equations 176, 339
Idemfactor 50 Maxwell transfer equation 308
Incompressible material 231 Maximum, minimum curvature 130, 140
Index notation1,2,14 Mean curvature 137, 148
Indicial notation 1, 2, 14,24 Metric tensor 36, 65
Inner product 52 Meusnier’s Theorem 150
Inertia 30 Mixed tensor 49
Integral theorems 24 Mohr’s circle 185
Intrinsic derivative 120 Moment of inertia 30, 184, 200
Invariant 43 Momentum 217, 218
Inviscid fluid 283 Multilinear forms 96, 98
Isotropic material 248 Multiplication of tensors 6, 51
Isotropic tensor 104
N
J
Navier’s equations 254, 257
Jacobian 17, 30, 40, 101, 127
Navier-Stokes equations 288, 290
Jump discontinuity 330
Newtonian fluids 286
Nonviscous fluid 283
K
Normal curvature 135, 136
Kronecker delta 3, 8, 13, 31, 76
Normal plane 188
Kinetic energy 201
Normal stress 214
Kinematic viscosity 302
Normal vector 130, 132
Notation for physical components 92
L
Lagrange’s equation of motion 191, 196 O
Lagrangian 209
Oblate Spheroidal coordinates 75
Laplacian 174
Oblique coordinates 60
Linear form 96
Oblique cylindrical coordinates 102
Linear momentum 209, 287
Order 2
Linear transformation 86
Orthogonal coordinates 78, 86
Linear viscous fluids 284
Orthotropic material 246
Lorentz transformation 57
Outer product 6, 51
Lame’s constants 251
Osculating plane 188
