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| Sokolnikoff I.S. — Mathematical Theory of Elasticity |
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| Предметный указатель |
Platrier, C.F.F. 276
Pohlhausen, K 170
Poincare, H. 64
Poisson, integral of 165
Poisson’s ratio 68
Poisson’s ratio, measurement of 111
Poschl, T. 208 275 302
potential energy 90 280
Potential energy, minimum principle of 278 313
Potential energy, of twisted shaft 282
Prandtl, L. 131
Principal strain 13 15
Principal strain, axes of 67
Principle, of D’Alembert 82
Principle, of minimum energy 278 312
Principle, of minimum stress 286
Principle, of Saint-Venant 95
Principle, of superposition 5 28 79
Privaloff, I.I. 131
Proportional limit 58
Pure deformation 2 18 19
Pure shear 11
Quadric, of deformation 11
Quadric, of stress 46
Rad6, T. 131
Rayleigh — Betti Theorem 297
Rayleigh — Ritz method 304
Rayleigh — Ritz method, applications of 305 308
Rayleigh — Ritz method, estimates of error in 324
Reciprocal theorems 297 302 303
Reichenbacher, H. 190
Reissner, E. 43
Relaxation of boundary conditions 329
Residues 157
Riemann’s theorem 168
Rigid body motion 2 5 19
Rigid body motion, conditions for 6
Rigidity, flexural 111
Rigidity, flexural, modulus of 69
Rigidity, flexural, torsional 125
Ritz, W. 304 323
Ritz’s method 304
Ritz’s method, applications of 305 308
Ritz’s method, estimates of errors in 324
Riz, P.M. 33 274 275
Rotation, components of 7 19 20 21 23
Rothe, R. 170
Ruchadze, A.K. 275 276
Saint-Venant, B. 27 95
Saint-Venant, principle of 95 99 209
Saint-Venant, semi-inverse method of 100
Salet, G. 191 209
Schaefer, C 91 95
Schwarz — Christoffel transformation 169
Schwarz, H.A. 169
Schwarz’s formula 163 165
Section modulus 268
Seth, B.R. 33
Shear 10 38
Shear, maximum 52 54
Shear, modulus of 69
Shearing, force 266
Shearing, lines of 130
Shearing, strain 22
Shearing, stress 10 38 52 54
Shepherd, W.M. 243 252
Shermann, D.L. 92
Shortley, G.H. 337 342 344
Simply connected regions 25
Skew symmetry 6
Smirnov, V.I. 169
Sokolnikoff, E.S. see “Sokolnikoff I.S.”
Sokolnikoff, I.S. 127 154 180 184 186 210
Sonntag, R. 212
Southwell, R.V. 24 28 41 45 54 96 117 127 191 195 196 208 344
Specht, R.D. 184
Statically determinate systems 270 273
Stenin, N. 169
Stevenson, A.C 228 243
Strain energy 83 87 278 284
Strain energy, in a bent beam 118 292
Strain energy, of deviation 117
Strain energy, of dilatation 118
Strain energy, of distortion 118
Strain energy, of twisted beam 282
Strain, analysis of 1—34
Strain, components of 20 29 30
Strain, description of 29
Strain, deviations in 117
Strain, finite 28 89
Strain, homogeneous 4 8 33
Strain, infinitesimal 28
Strain, invariants of 17
Strain, notations for 23
Strain, plane 22
Strain, principal 13
Strain, quadric of 11
Strain, shearing 21 200
Strain, tensor 8 19 20 31 199
Stress, actual 57
Stress, analysis of 35—56
Stress, concentration of 189 191
| Stress, deviations in 117
Stress, examples of 54
Stress, function in torsion 127 129
Stress, invariants of 45 50
Stress, maximum 52 54
Stress, nominal 57
Stress, normal 38 52 55
Stress, notations for 40
Stress, plane 56
Stress, principal 49
Stress, quadric of 46
Stress, shearing 38 55
Stress, tensor 37 50
Stress, tensor, symmetry of 43
Stress, tensor, transformation of 44
Stress, ultimate 58
Stress, units for 49
Stress-strain relations 57—96
Stress-strain relations, for isotropic bodies 70 72 191
Subharmonic functions 130
Sunatani, C 190
Superposition 5 28 79
Synge, J.L. 273
Taylor, G.I. 187 262
Tension 55
Tensors, alternating 36
Tensors, cartesian 13
Tensors, strain 8 31
Tensors, stress 37 50
Tensors, transformation of 44 45
Thiel, A. 190
Thirring, H. 204
Thum, A. 191 209
Timoshenko, S. 17 23 24 28 41 54 71 83 91 95 96 107 111 116 118 127 142 150 187 189 191 195 196 208 212 242 261 262 272 309
Titchmarsh, E.C 163
Torsion analogies 131 132 187 191 195
Torsion problem, solution by, collocation method 317
Torsion problem, solution by, conformal mapping 170
Torsion problem, solution by, electrical analogies 191
Torsion problem, solution by, Galerkin’s method 308 315
Torsion problem, solution by, hydrodynamic analogies 191
Torsion problem, solution by, least-squares method 318
Torsion problem, solution by, membrane analogies 131 132 187 195
Torsion problem, solution by, Ritz’s method 305
Torsion problem, solution by, Trefftz’s method 333 (see also “Beams”)
Torsion, of anisotropic beams 274
Torsion, of beams with variable cross section 205 212 275
Torsion, of cardioid 170 215
Torsion, of circular beams 119
Torsion, of circular beams, with grooves 111
Torsion, of compound beams 276
Torsion, of conical shafts 208
Torsion, of curved beams 275
Torsion, of cylinders 121 305 312 328
Torsion, of elliptical bourns 134 196
Torsion, of hollow beams 191 194 190
Torsion, of initially twisted beams 271
Torsion, of inverse of an ellipse 183
Torsion, of lemniscatc 178
Torsion, of nonisotropic beams 212 217 274
Torsion, of polygonal beams 186 187 275 316
Torsion, of rectangular beams 143 308 317 318 320 333 33S
Torsion, of regions hounded by circular axes 177 180 181
Torsion, of semicircular beam 181
Torsion, of triangular beams 139 143
Torsional rigidity 125 141 175 189
Trayer, G.W. 187 191 195 217
Trefftz, E. 12 23 41 45 54 71 83 91 95 117 127 186 201 203 305 328
Trefftz’s method 329
Trefftz’s method, application of, to torsion problem 333
Twist, angle of 119
Twist, angle of, local 220 257
Ultimate stress 58
Uniqueness of solution 79 92
Vantorin, V.D. 276
Variational methods 277—345
Variational methods, of Galerkin 313
Variational methods, of Kantorovitch 315
Variational methods, of Rayleigh 304
Variational methods, of Ritz 304
Variational methods, of Trefftz 329
Vekoua, I. 276
Virtual work, theorems on 284 314
Voigt, W. 64 101
Volterra, V. 27 204
von Mises, R. 96
Walker, M. 170
Watson, G.N. 154 210
Weber, C 141
Weber, E. 190
Webster, A.G. 17 24 89 91 127
Weller, R. 337 342
Westergaard, H.M. 81
Whittaker, E.T. 154
Williams, D. 296 302
Wolf, K. 212
Work and reciprocity theorems 297
Work, rate of doing 83 90
Work, rate of doing, virtual 284 314
Yield point 58
Young’s modulus 68 111
Zanaboni, O. 96
Zvolinsky, N.V. 33 212 274
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