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| Fung Y. — A First Course in Continuum Mechanics: for Physical and Biological Engineers and Scientists |
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| Предметный указатель |
Momentum, moment of 67 219
Mori, K. 208
Moritake, K. 208
Motion, equations of 75 218
Motion, polar coordinates 223—226
Mow, V.C. 37
Navier — Stokes equation 231—232
Navier — Stokes equation, dimensionless 238
Navier's equation 271 272
Navier, L.M.H. 231 232 238 271 272
Neutral plane 26
Newton's law of gravitation 43
Newton's law of viscosity 156 183
Newton's laws of motion 12 67
Newton's velocity of sound 257
Newton, Isaac 12 43 67 156 183 257
Newtonian fluid 156
Ni-Ti alloy 291 292
Nikuradse, J. 248 249
Nimbus spacecraft 263
No-slip condition 233
Non-Newtonian fluids 157 201
Nonlinear solids, biological tissues 189
Nonlinear solids, rubber 188
Nonviscous fluid 155 249—251
Nonviscous fluid, equation of motion 250
Normal strain see "Strain"
Normal stress see "Stress"
Numbers, Avogadro 181
Numbers, Mach 259
Numbers, Reynolds 233 238
Octahedral planes 85
Omens, J.H. 299 301
Opening angle, arteries 286—287
Orthogonal matrix 46
Orthogonal transformation 50
Oseen, C.W. 235
Ostrogradsky, M. 211
Patel, D. 192 208 295 299
Patitucci, P. 207
Pearson, K. 65
Perfect gas law 181 182
Permutation, connection with Kronecker delta 47
Permutation, symbol 47
Permutation, tensor 47
phase velocity 273
Plane elastic waves 273
Plane strain 274
Plane stress 89 274
Plane waves 273
Plasma, blood 201
Plasticity of metals 186—188
Poise 184
Poiseuille flow 240—243
Poiseuille, J.L.M. 235 240
Poisson's ratio 138 159
Poisson, S.D. 159
Polarization, the plane of 273
Potential equation 254
potential flow 254
Prager, W. 203
Prandtl, L. 244 246 269
Principal axes 88 95
Principal axes of strain 124 172
Principal axes of stress 95—97 172
Principal coordinates 88
Principal directions 91
Principal planes 88 95 124
Principal strains 124 125
Principal stress 88 91
Principal stress deviation 100
Principal stress, main theorem 95
Principal stress, proof of existence 96
Principal stress, proof of real-valuedness 96
Principal stress, stress invariants 95
Proportional limit 188
Pseudoelastic strain energy function 189 191—192
Pseudoelasticity 189
Pure shear 132
Quasilinear viscoelasticity 189
Radiating condition 262
Radius vector 42
Rayleigh wave 137
Reid, L. 299 301
Relaxation function 194—197
Relaxation time 197
Relaxation wave 137
Remodeling of mechanical properties 294—297
Remodeling of morphology 292—294
Remodeling of zero-stress state 288—290
Remodeling with temperature 290
Remodeling, due to diabetes 291 295
Remodeling, tissues 288—299
Residual stress 285
Reynolds number 233 238
Reynolds, Osborne 238 243
Rheology 285
Riemann, G.F.B. 149
Roshko, A. 269
Rotation, infinitesimal 121
Rubber elasticity 188—189
Scalar triple product 41
Schlichting, H. 248 269
Schlieren photographs 262 263
Schultz, A.B. 37
Scott-Blair, G.W. 204
Sechler, E.E. 129
Shape memory material 290—292
shear modulus 158—160
Shear strain, notation, warning 119 120
Shear strain, pure 132
Shear strain, simple 132
Shear stress 97
Shear stress, maximum 98
Shell, cylindrical 24
Shell, spherical 22
SI units 20—21
Similarity, dynamic 238
Simple shear 132
Skalak, R 299 301
Skin friction coefficient 244
Sobin, S.S. 9 11 208
Soft tissues 191—193
Sokolnikoff, I.S. 281 284
Sol 204
Sol, sol-gel transformation 204
Solenoidal vector field 250
Sound, speed 256
Spatial description 214
Spectrum of relaxation 197
Sperelakis, N. 144
Standard linear solid 193—195
Starling, E.H. 164
Stokes' fluid 156
Stokes' sphere in viscous fluid 104
Stokes, George G. 104 156 235
strain 112—132
Strain deviation tensor 125 160
| Strain tensor 4
Strain tensor, Almansi's 117
Strain tensor, Cauchy's 117 118
Strain tensor, Eulerian 117
Strain tensor, Finger's 132
Strain tensor, Green's 117
Strain tensor, Lagrangian 117
Strain, finite 117—118 122—124
Strain, infinitesimal 119 120
Strain, invariants 125
Strain, plane state 274
Strain, polar coordinates 125—130
Strain, principal 124
Strain, shear 121
Strain-energy function 173 192 193
Strain-rate tensor 146
Stream function 250 251
Streeter D., Jr. 144
Stress 4 64
Stress concentration 105 106 107
Stress resultant 235
Stress tensor 4
Stress tensor transformation 75
Stress, boundary conditions 78—81
Stress, Cauchy's formula 69
Stress, components, notation 65
Stress, couple-stress 5
Stress, definition 4
Stress, ellipsoid 102—103
Stress, equation of motion and equilibrium 66—68 72—75 219 258
Stress, invariants 96 99 100 101
Stress, matrix 65 97
Stress, normal 19 65
Stress, notations 64
Stress, plane state 89 274
Stress, polar coordinates 77 78 223—227
Stress, shear 20 65
Stress, sign convention 65
Stress-deviation tensor 99—102
Stress-growth law 285 299
Stress-strain-rate relationship see "Constitutive equations"
Subsonic flow 261
Summation convention 44
Supersonic flow 261
Surface force 5 68
Surface tension 235—237
Surface, minimal 237 300
Symmetry of stress tensor 74 75 89
Tait, P.G. 208
Takamizawa, K. 299 301
Tanner, R.I. 208
Taylor, H.M. 201
Tensile strength of liquid 183
Tensor 4 56
Tensor, Cartesian 55
Tensor, contraction 60
Tensor, definition 56
Tensor, dual 121
Tensor, isotropic 165—171
Tensor, notations 58
Tensor, partial derivatives 60
Tensor, quotient rule 59
Tensor, rank 56
Tensor, rotation 121
Tensor, spin 146
Thermodynamics 221
Thixotropy 204
Thomas, T.Y. 180
Timoshenko, S.P. 284
Todhunter, I. 65
Torsion 274—278
Toupin, R. 149 153
Townsend, A.A. 235
Traction (Stress vector) 5
Transformation of coordinates 49
Transformation of coordinates, admissible 54
Transformation of coordinates, Jacobian 54
Transformation of coordinates, orthogonal 50
Transformation of coordinates, proper and improper 54
Transformation of coordinates, rotation 49—51
Transformation of coordinates, vector 56
Transverse wave speed 273
Tremer, H.M. 11 208
Truesdell, C. 149 153
Truss 14—17
Truss, statically indeterminate 31
Turbulence 243
Twinning of atomic lattice 291
Unit-impulse function (Dirac delta function) 195
Unit-step function 194
Usami, S. 201 202
Vaishnav 192 208 295 299 301
van der Waals, J.D. 182 183
Vawter, D.L. 198
Vectors 39
Vectors, analytical definition 55 56
Vectors, notation 39
Vectors, transformation 56
Vectors, vector product 39 46
Velocity field 145
Velocity of sound 256
Visco-plastic material 202—203
Viscoelasticity 193—197
Viscoelasticity, biological tissues 197—201
Viscoelasticity, quasilinear 189 197—201
Viscometer, cone-plate 205
Viscometer, Couette 86
Viscosity, atomic interpretation 185—186
Viscosity, blood 201
Viscosity, gas 183 185
Viscosity, liquid 186
Viscosity, Newtonian concept 183
Voigt solid 193—195
Voigt, W. 193—195
von Helmholtz, H. 252
von Karman, Th. 188
Vorticity 146 251—253
Vossoughi, J. 299 301
Wave equation 256
Waves, acoustic 256
Waves, longitudinal 273
Waves, polarization 273
Waves, Rayleigh 137 138
Waves, shear 273
Waves, surface 137 138
Waves, transverse 273
West, J.B. 198
Whetham, W.C.D. 235
Wolff, J. 299 301
Wong, M. 299 300
Xie, J.P. 299 301
Yang, R.F. 301
Yield function 202
Yield stress 187 188
Yih, Chia-Shun 269
Young, Thomas 113 236
Zero-stress state 285—287 296—298
Zero-stress state, change due to hypertension 286
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