Alternation of tensors 16
Angular points 148 150
Anisotropy elastic 250
Anisotropy plastic 250
Basis contravariant 5
Basis corresponding to the initial state 216
Basis corresponding to the state of deformation 216
Basis covariant 5
Bauschinger effect 228
Bishop — Hill principle 243
chemical potential 183
Christoffel symbols 6 61
Clapeyron's equation 184
Closed system 140
Coefficient of elongation 91 135
Coefficient of specific heat 159
Coefficient of thermal conductivity 169
Coefficient of viscosity 197
Coefficient, Poisson 163
Compatibility conditions 112
Components contravariant 6
Components covariant 6
Components principal, of a tensor 23
Components principal, of the stress tensor 132
Concentration of components in a mixture 179
Constant Boltzmann 150
Constant gas 161
Continuity equation 120 179
Coordinate systems Cartesian 2
Coordinate systems Euclidean 2 6
Coordinate systems Lagrangian 87
Coordinate systems Spherical 6
creep 227
Dalton's law 184
Defining parameters for a gaseous mixture 179
Deformation affine 81
Deformation complete 230
Deformation elastic 230
Deformation plastic 230
Density of air under various conditions 116
Density of gaseous mixtures 176
Density of interstellar gas 116
Density of iron 116
Density of nuclear matter 116
Deviator 21
Differentiation by Jaumann's method 76
Differentiation of nonlinear tensor functions 106
Differentiation of tensors in the reference system 73
Differentiation of tensors with respect to a parameter 65
Differentiation of tensors with respect to coordinates 57
Differentiation total 72
Diffusion 118
dimensions 170
Dissipation of energy 197
Dissociation 184 187
Dynamic equations of Newton's law 127
Effect Bauschinger 228
Effect Kelvin 40
Effect Poynting 40
Elastic limit 228
Elastic region 236
Energy free 215
Energy free of elastic body 215
Energy internal 146
Energy kinetic 137
Energy potential 188
Enthalpy 188
entropy 149
Entropy flow 192
Equation Clapeyron 161
Equation for gaseous mixtures 179
Equation Guldberg — Waage 186
Equation Lagrange 25
Equation Navier — Stokes 200
Equation Newton 127
Equation of an equilibrium phase 184
Equation of continuity, in an arbitrary coordinate system 121
Equation of continuity, in the Lagrangian form 120
Equation of diffusion 179
Equation of heat flow 147
Equation of mass balance in mixtures with physico-chemical reactions 178
Equation of motion for a continuous medium in a curvilinear coordinate system 134
Equation of motion for a continuous medium in the Eulerian form 156
Equation of motion for a continuous medium in the Langrangian form 135
Equation of state for a continuum 180
Equation of state for an elastic body 203
Equation of state for an elastic isotropic body 218
Equation of state for an ideal two-parameter medium 173
Equation Reynolds 200
Equation, Van der Waals 163
First law of thermodynamics 147
Forces gravitational 137
Forces, external surface 126
Forces, internal surface 127
Forces, mass 126
Formula Gibbs 193
Formula Lagrange — Sylvester 38 42
Formula Oldroyd 72
Formulas for thermodynamic functions in gaseous mixtures 184
Formulas for thermodynamic functions in real gases 162
Functions isotropic 32
Functions stress 240
Functions tensor 32
Gas ideal 156
Gas real 162
Gas van der Waals 163
Gauss divergence theorem 134
Generalized forces 144
Gibbs formula 193
Guldberg — Waage law 186
Hamilton — Cayley identity 37
Hardening 228
Heat Joule 166
Heat specific 159
Heat uncompensated 151 180
Hooke's law 215
Invariants of deformation tensor 224
Invariants of deviator 28
| Invariants of stress tensor 18
Invariants of tensor 224
Isotropy 32 218
Jacobian transformation 8
Kelvin effect 40
Kinetic energy theorem 136
Lagrange coordinates 78 88
Lagrange equation 25
Law associative, in plastic theory 245
Law of action and reaction 124
Law of conservation of energy 147
Law of conservation of mass 120
Law of conservation of momentum 129
Law of conservation of motion 129
Law of heat transmission 168
Liquid compressible 159
Liquid ideal 155
Liquid incompressible 160
Liquid viscous 195
Lode parameter 28
Mass 115
Mass molecular 161
Mass of a liquid 176
Material anisotropy 250
Material continuum 117
Medium elastic-plastic 229
Medium homogeneous isotropic 218
Medium ideal plastic 236 240
Medium ideal two-parameter 171
Medium isotropic 218
Medium plastic with hardening 236 240
Model of ideal liquid 156
Model of plastic body 229
Model of viscous liquid 195
Motion laminar 198
Motion of an ideal incompressible liquid 160
Motion potential 197
Motion turbulent 197
Navier — Stokes equation 200
Newton's dynamic equation 126 151
Newton's law 196
Onsager's Principle 149
Phase transitions 165
Photon momentum 116
PlancK's 116
Plastic theory of Mises 245
Plastic theory of Reuss and Prager 246
Plastic theory of Tresca 245
Poynting effect 40
Principal components of a deformation tensor 92
Principal components of a tensor 23
Principal components of stress tensor 220
Principal vector of mass forces 127
Principal vector of surface forces 130
Principal vector of the momentum of the external surface forces 128
Process adiabatic 150 166
Process irreversible 149 151 166
Process isothermal 167 214
Process loading 237
Process polytropic 168
Process reversible 149 151 183
Properties of affine deformations 85
Properties of internal stresses 128 130
Radiation 118 165
Radius of electron 116
Radius of proton 116
Recombination 184 187
Relaxation 227
Reuss' theory 246
Reynolds equation 200
Rules for tensor addition 14
Rules for the summation of indices 5
Rules, Gibbs phase 180
Scale of deviator 29
Second law of thermodynamics 148 152 187 225
Self-similar solution 174
Simple tension diagram 227
Stoichiometric coefficients 178
Stress internal 118 128
Stress normal 128
Stress shearing 128
Surface flow 240
Surface loaded 236 248
Temperature 148
Temperature gradient 168
Tensor acceleration, of pure deformation 104
Tensor concepts 11
Tensor Hencky 219
Tensor linearly dependent 48
Tensor linearly independent 48
Tensor products (scalar, vector, mixed) 4
Tensor Riemann — Christoffel 61
Tensor similar 27
Tensor skew-symmetric 20
Tensor spherical 22
Tensor stress 132
Tensor symmetric 20
Tensor, finite deformation 91
Tensor, velocity deformation 104
Tensor, viscous stress 195
Theory of finite deformations 205
Theory of small deformations 205 206
thermal conductivity 165
Thermodynamic potential 158
Thermodynamic systems 139
Turbulence 197
Vector displacement 205
Vector of diffusion flow 177
Vector of energy flow 192
Vector of entropy flow in gaseous mixtures 192
Vector rotation, of deformation axis 99
viscosity 118
Viscosity coefficients 197
Work of elastic body 201
Work of external surface and volume forces 137
Work of gravitational forces 137
Work of internal surface forces 138
Work of internal volume forces 137
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