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Borodich F. Theory of Elasticity
Borodich F.  Theory of Elasticity









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: Theory of Elasticity

: Borodich F.

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ed2k: ed2k stats

: 405

: 21.04.2013

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Airy, G. B.      156
Airys function      156 162 164 270 308
Amplitude of vibration      105
Analogy, Prandtls      252
Anisotropy      73; see Bodies
Areas, octahedral      39
Areas, principal      31
Axisymmetrical three-dimensional stress      273
Bars, bending of      44
Bars, buckling of      138
Bars, pure      211 163
Bars, torsion of      71 116 231
Beams, bending of, built-in at ends      176
Beams, of rectangular cross section      131 152
Beams, supported at ends      171
Beizeno, C. B.      229
Beltrami Mitchell equations      138 251 278 282
Beltrami, E.      139
Bending moment      323
Bending of beam, built-in at ends      176
Bending of cantilever      163
Bending of plate      316
Bending of plate, pure      327
Bending of prismatical bar      44
Bending of prismatical bar, pure      126 163
Bending of rectangular cross section      131 152
Bending of rectangular cross section, supported at ends      171
Bending of rod      44
Bending of rod, of circular cross section      262
Bending of rod, pure      71
Bending of rod, transverse      258
Bending of strip      181 189
Bending of wedge      219
Bernoulli, J.      9 126
Biharmonic function      162 273 282
Blokh, V. I.      269
Bodies, anisotropic      73
Bodies, homogeneous      73
Bodies, isotropic      73
Bodies, nonhomogeneous      73
Body forces      17
Bolle, L      331
boundary conditions      24 96
Boussinesq, J.      211 278 284 290
Boussinesqs problem      290
Bredt, R.      256
Bredts theorem      256
Buckling of bar      138
bulk modulus      81
Cantilever, bending of      163
Castigliano, A.      273 364
Castiglianos variational equation      364
Cauchy Riemann conditions      235 238
Cauchy, A. L.      10 29 48 235
Cauchys equations      48 97
Cauchys quadric      30 39
Clapeyron, B. P. E.      10 143
Clapeyrons theorem      143 352
Closeness of system of functions      381
Co-ordinates, cylindrical      200
Co-ordinates, polar      200
Coefficients of Lam$\acute{e}$      78 94
Coker, E. G.      188
Compatibility, conditions of      55 97 151 203
Compendium of basic equations      96
Completeness of system of functions      381
Components, of displacement      19 45
Components, of rotation      51
Components, of strain      49
Components, of stress      28 84
Compression of wedge      219
Condition, L$\acute{e}$vys      155
Conditions, Cauchy Riemann      235 238 307
Conditions, Dirichlets      198
Conditions, of compatibility (continuity) of strain components      55 97 151 203
Conditions, on surface      24 96
Constants, elastic      88
Contact problem      143 189
Continuity      12
Coulomb, C. A.      9 116 238
Coulombs theory of torsion      116 238
Criterion, Lejeune Dirichlets      355
Curved bar, pure bending of      210
Cylindrical co-ordinates      201
density      17
Diagrams, stress-strain      73
Dilatation, cubical      64
Dilatation, waves of      311
Dilatation, waves of, irrotational      313
Dirichlet, P. G. L.      198 235
Dirichlets conditions      198
Displacements      19 45
Displacements, virtual, principle of      354
Distortion, waves of      311
Divergence, of displacement vector      311
DAlembert, J. le R., Ill      313 354
dAlemberts principle      354
Effect of load on medium bounded by plane      290
Ellipsoid, stress      36 37
Elongations      45
Elongations, principal      63
End plate of cylindrical reservoir      347
Equation, biharmonic      278
Equation, biharmonic, L$\acute{e}$vys      151 155
Equation, biharmonic, Laplaces      232 273
Equation, biharmonic, of transverse vibration of string      111
Equation, Sophie Germains      322
Equation, Sophie Germains, variational, of Castigliano      364
Equation, Sophie Germains, variational, of Lagrange      352
Equation, Sophie Germains, wave      310
Equations, Beltrami Mitchell      139 251 278 282
Equations, canonical      363
Equations, Cauchys      48 97
Equations, differential, of Navier      21 96 110 202 270
Equations, for plane problem in polar co-ordinates      200
Equations, geometrical      97
Equations, Lam$\acute{e}$s      99 141 278 282
Equations, of bending for plates      319
Equations, of compatibility      55 97 151 203
Equations, of equilibrium in statics      18
Equations, of torsion for plates      316 319 326
Equilibrium, general equations of      18 265
Equilibrium, of elastic sphere      284
Euler, L.      9 87 126 193 297
Eulers substitution      297
Eulers theorem on homogeneous functions      87
Expansion, volume      312
Extension      48
F$\ddot{o}$ppl, A.      256 387
F$\ddot{o}$ppl, L.      256 387
Field of function      274
Filon, L. N. G.      181 188189 303
Filonenko-Boroditch, M. M.      189 271 380 385 386
Flexural rigidity of plate      322
Forces, body      1012 16
Forces, external      11
Forces, Internal      10
Forces, shearing      324
Formula, Fouriers      198
Formula, Green Ostogradskys      25
Formulas, Loves for displacements      300
Fourier, J. B. J.      111
Fouriers series      111
Function, analytic      238
Function, biharmonic      162 273 278
Function, force      355
Function, harmonic      232 273
Function, stress, of Airy      156 162 164 270 308
Function, stress, of Prandtl      236 250
Function, torsion      231 250
Functions, stress of Maxwell      266
Functions, stress of Morera      268
Galerkin, B. G.      301 338 344
Galilei, G.      9
Germain, Sophie      9 322
Germains equation      322
Gradient of Prandtls stress function      254
Grammel, R.      229
Green Ostrogradsky formula      25
Green, G.      10
Harmonic function      232 273
Hertz, H.      300
Hertzs problem of two bodies in compression      300
Homogeneity      73 74
Homogeneous deformation      52
Homogeneous stress      162
Hooke, R.      9 73
Hookes law      74 85
Hookes law, generalised      76 94 97 149 205
Hookes law, in shear      74 117
Hypothesis, of continuous structure of solids      12
Hypothesis, of linear elements, Kirchhoffs      318
Hypothesis, of natural state      87 137
Identities, Saint-Venants      55
Initial stress      86
Integrals, Mohrs      378
Invariants of strain deviator      65
Invariants of strain tensor      65
Invariants of stress deviator      40
Invariants of stress tensor      34
Ionov, V. N.      386
Isotropy      73 89
Jasinsky, F. S.      10
Jastrzbski, N. F.      10
Kelvin, Lord      10 328
Kirchhoff, G.      143 318 328
Kirchhoffs hypothesis of linear elements      318
Kochin, N. E.      312
Kolosoff, G. V.      10 303 387
Kononenko, E. S.      385
Krutkov, Ju. A.      269
Krylov, A. N.      387
L$\acute{e}$vy, M.      155 199 339
L$\acute{e}$vys condition (equation)      155
Lagrange, J. L.      9 352
Lagrange, principle of      354
Lagrange, variational equation of      352
Lam$\acute{e}$, coefficients of      78 94
Lam$\acute{e}$, ellipsoid of      3538
Lam$\acute{e}$, equations of      99 141 277 282
Lam$\acute{e}$, G.      10 29 79 99 209 379
Lamb, H.      328
Laplace, P. S.      100 250
Laplacian operator      100 203
Laplacian potential      274
Law, Hookes      74 85
Law, of shearing stresses      21 42
Least work, principle of      375
Leibenzon, L. S.      300 316 368 373 387
Lejeune Dirichlets criterion      355
Level lines of function      242
Limit of proportionality      74
Liubimov, V. M.      386
Love waves      316
Love, A. E. H.      299 303 316 387
Marcus, H      347
Mariotte, E.      9
Maslov, G. N.      187
Mathieu, E      10 387
Maxwell, J. C.      10 265
Maxwells stress functions      266
Mean hydrostatic stress      42
Membrane      252
Method of sections      11
Method of sections, photoelastic      156
Method of sections, Ritz Timoshenko      358
Minimum elastic energy, theorems of      355 373
Miroshnichenko, E. R.      386
Mitchell, J. H.      10 139 229
Modulus, in shear      74
Modulus, in tension      74
Modulus, of rigidly      75
Modulus, of volume expansion      81
Modulus, Youngs      74
Mohr, O.      378
Mohrs integrals      378
Molecular theory of structure of bodies      10
Morera, G      265
Moreras stress functions      268
Muskhelishvili, N. I.      10 29 56 303 309 387
Navier, C. L. M. H.      10 333 387
Naviers equations      21 96 110 202 270
Netrebko, V. P.      385
Neumann, K. G.      234
Neumanns problem      234
Neutral axis      127
Nonhomogeneity      73
Novozhilov, V. V.      342
Number, Poissons      74
Oblique planes      326
Octahedral areas      39
Operator, Laplacian      74 203204
Ostrogradsky, M, V.      10
Papkovitch, P. F.      187188 375 387
Paraboloid      241 326 327
Period of vibration      105
Pfeiffer, P.      387
Photoelastic method      156
Plamant      211
Plane problem, equations for, in polar co-ordinates      200
Plane problem, solution of, in terms of stresses      158
Plane strain      147 151
Plane stress      27
Plane stress, generalised      151
Planes, oblique      326
Planes, principal      128
Plates, bent by couples      327
Plates, boundary conditions for      328331
Plates, flexural rigidity of      322
Plates, of special forms, circular      344
Plates, of special forms, elliptic      331
Plates, of special forms, rectangular      328 333
Plates, theory of moderately thick      318
Poisson, S. D.      10 74 328
Poissons number      74
Poissons ratio      74
Polar co-ordinates      200
Ponomarev, S D.      42
Potential elastic energy      145 356
Potential elastic energy, minimum of      355 373
Potential, displacement      53
Potential, elastic forces having      83
Potential, Laplacian      274
Prandtl, L.      236 250252
Prandtls analogy      252
Prandtls function      236 250
Principal areas      31
Principal elongations      63
Principal of DAlembert      354
Principal of Lagrange      354
Principal of least work      375
Principal of Saint Venant      119
Principal of superposition      72 137
Principal of virtual displacements      354
Principal planes      128
Principal strain      66
Principal stress      31
Prism, rectangular, elastic      379
Prism, stretched of its own weight      132
Problem, Boussinesqs      290
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