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| Borodich F. — Theory of Elasticity |
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| Предметный указатель |
Problem, contact 143 189
Problem, Dirichlet’s, of finding a harmonic function 235 294
Problem, Flamant — Boussinesq 211
Problem, Hertz’s, of two bodies in compression 300
Problem, Lam ’s, of circular tube in uniform compression 206
Problem, mixed, of elasticity 143
Problem, Neumann’s 234
Propagation of waves 106—108 312
Proportional limit 74
Pure bending, of curved rods 210
Pure bending, of plates 327
Pure bending, of prismatical bars 126 163
Quadric, Cauchy’s 30 39
Radial stress, distribution of 212
Ratio, Poisson’s 74
Rayleigh waves 316
Rayleigh, Lord 10 316
Reissner, E. 331
Retaining wall 177
Ribi re, C. 181 188
Rigid body displacement 52
Rigidity, flexural, of plate 322
Rigidity, modulus of 74
Rigidity, torsional 237
Ring, closed 230
Ritz — Timoshenko method 358
Ritz, W. 358
Rods, bending of 44
Rods, bending of, cylindrical 16 262
Rods, bending of, of large curvature 209
Rods, bending of, pure 70
Rods, bending of, transverse 258
Rotation, components of 51
Saint-Venant, B., de 10 12 55 102 118 238 259
Saint-Venant, equations of 55 97 151 203
Saint-Venant, identities of 55
Saint-Venant, principle of 119
Sections, method of 11
Self-stressed state 376
Serensen, S. B. 387
Series, Fourier’s 111
Shear 44
Shearing force 324
Shearing strain 44
Shearing stress 14 235
Simple radial distribution of stresses 212
Slabs, thin 318
Solenoidal vector (curl) 311
Solution, uniqueness of 136 143
Sphere, equilibrium of 284
Stability of bar 138; see Buckling of bar
State of stress 13
Statics, equations of equilibrium 18
Stokes’s theorem 256
strain 9 45
Strain deviator 65
Strain deviator, invariants of 65
Strain surface 62
Strain tensor 62
Strain tensor, invariants of 64 65
Strain, compatibility of 53 55 151 203
Strain, components of 45 49
Strain, dilatational 64
Strain, extensional 48
Strain, finite 67 70
Strain, homogeneous 52
Strain, identical relations between components of 45; see Compatibility of above
Strain, in multiply connected body 58
Strain, invariants of 64 65
Strain, plane 147
Strain, principal 67
Strain, pure 53
Strain, shearing 48
Stress 11 12
Stress circulation 258
Stress deviator 39
Stress deviator, invariants of 40
Stress ellipsoid 35—38
Stress functions 151 156 161 164 236 250 266 268 271 308
Stress surface 30 38
Stress, average 11
Stress, elements of 28
Stress, homogeneous 162
| Stress, initial 86
Stress, invariants of 29
Stress, mean hydrostatic 42
Stress, normal 15
Stress, octahedral 39 79
Stress, plane 27 157;
Stress, principal 31
Stress, shearing 15 235
Stress, tensor 28
Stress, tensor, invariants of 34
Stress, total 12
Stress-strain relations 84
String, equation of transverse vibration of 111
Strip, in bending 189
Strip, on absolutely rigid foundation 189 195
Strip, rectangular 181
Superposition principle of 72 137
Symmetric matrix 363
Tait, P. G. 328
Tensile test diagram 73
Tensor, basic 380
Tensor, correcting 380
Tensor, finite-strain 67 70
Tensor, of relative displacements 56
Tensor, spherical 37
Tensor, strain 62
Tensor, stress 29
Theorem, Bredt’s 256
Theorem, Clapeyron’s 143 352
Theorem, Euler’s on homogeneous functions 87
Theorem, Stokes’s 256
Theorems of minimum elastic energy 355 373
Thomson, Sir W. 10 328; Lord
Timoshenko, S. P. 10 140 186 230 260 358 387
torque 116 236 325;
Torsion function 232 250
Torsion, Coulomb’s theory of 116 238
Torsion, of particular forms of section, circular 71 116
Torsion, of particular forms of section, elliptic 239
Torsion, of particular forms of section, rectangular 245
Torsion, of particular forms of section, triangular 243
Torsion, of plates 318 326
Torsion, of prismatical bars 231 368
Torsion, of rod in form of body of revolution 273
Torsional rigidity 238
Trajectory of equal stresses 214
Trefftz, E. 299 386
Twisting moment 116 237 325
Uniqueness of solution of elasticity equations 136 143
Unit elongation 47
Variation of stress 365
Variational equation, Castigliano's 364
Variational equation, Lagrange's 352
Velocity, of wave propagation 106—108
Vibrations, elastic 19
Vibrations, harmonic 104
Vibrations, longitudinal, of bar 109
Vibrations, longitudinal, uniform 104
Vibrations, transverse, of string 111
Vibrations, transverse, uniform 104
Virtual displacements, principle of 354
Vlasov, B. F. 331
Wave equation 311
Wave length 105
Waves, equivoluminal 313
Waves, irrotational 313
Waves, Love 316
Waves, of dilatation 312
Waves, of distortion 311
Waves, Rayleigh 316
Waves, reflected 316
Waves, spherical 314
Waves, standing 316
Waves, velocity of 106—108
Wedge, bending of 219
Wedge, compression of 219
Wedge, loaded at vertex 217
Work, done by elastic forces 82
Work, done by external loads 143
Work, done by surface tractions 145
Work, least, principle of 375
Young, T. 74
Young’s modulus 74
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