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Sokolnikoff I.S. — Mathematical Theory of Elasticity
Sokolnikoff I.S. — Mathematical Theory of Elasticity

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Название: Mathematical Theory of Elasticity

Автор: Sokolnikoff I.S.

Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1956

Количество страниц: 476

Добавлена в каталог: 27.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Amne transformation      2 5 18
Analysis, of strain      1—34
Analysis, of stress      35—36
Anisotropic media      61 212 217 274 276
Arutinyan, N.C.      316
Avazashvili, D.Z.      253
Baes, L.      190
Basil, N.M.      328
Bautz, W.      191 209
Beams, anisotropic      212 217 276
Beams, bent by couples      100
Beams, bent by distributed loads      274
Beams, bent by terminal loads      217 228
Beams, cantilever      269 282 291 296 302 312 323
Beams, compound      270
Beams, curved      275
Beams, extension, torsion, and flexure of      97—276
Beams, flexural rigidity of      111
Beams, flexure of, cardioid      242
Beams, flexure of, circular      235 253
Beams, flexure of, elliptical      237 258
Beams, flexure of, rectangular      210 272
Beams, flexure of, triangular      252 255
Beams, initially twisted      274
Beams, of variable cross section      275 (see also “Extension” “Flexure” “Torsion”)
Beams, technical theory of      203
Beams, torsion of, anisotropic      212 274
Beams, torsion of, cardioid      245
Beams, torsion of, circular      119
Beams, torsion of, compound      270
Beams, torsion of, conical      208
Beams, torsion of, curved      275
Beams, torsion of, elliptical      134 190
Beams, torsion of, hollow      191 191 196
Beams, torsion of, initially twisted      274
Beams, torsion of, polygonal      186 187 275 316
Beams, torsion of, rectangular      143 308 317 318 320 333 338
Beams, torsion of, semicircular      181
Beams, torsion of, triangular      139 143
Beams, torsional rigidity of      125 141 175 189
Beltrami — Michell equations      78
Beltrami, E.      78
Bending of beams      see “Beams” “Flexure”
Bending-moment diagram      268
Bergmann, S.      180
Bernoulli — Euler law      110 115 233 264 274
Bernstein, B.      18G
Betti and Rayleigh Theorem      297
Bicberbach, L.      170
Biczeno, C.B.      101 195 300 301 321 323
Biharmonic function      79
Biot, M.A.      33
Blinchikov, T.N.      204
Boundary-value problems in elasticity      73
Boundary-value problems in elasticity, dynamical      83
Boundary-value problems in elasticity, existence of solution of      92
Boundary-value problems in elasticity, mixed      93
Boundary-value problems in elasticity, uniqueness of solution of      92
Brillouin, I, .      91 204
Cantilever beam      269 282 291 296 302 312 323
Caratheodory, C.      168 170
Carslaw, H.S.      154
Cartesian tensors      13
Castigliano’s Theorem      301
Cauchy — Riemann equations      127
Cauchy, integral formula of      156
Cauchy, integral formula of, Integral Theorem of      155
Cauchy’s quadric      11 40
Center of flexure      224 227
Central line of a beam      108
Central line of a beam, curvature of      110 233
Cesaro, E.      27
Christoffell, M.B.      109
Christopherson, D.G.      314
Churchill, H.V.      154
Circular pipe, bending of      253
Circular pipe, bending of, torsion of      196
Collocation method      317
Collocation method, application, to torsion problem      317
Collocation method, estimates of errors in      323
Compatibility, equations of      24 27 34 77
Complete systems of functions      313
Complex variable theory      154
Conformal mapping      165
Conformal mapping, applications of      176
Conformal mapping, Riemann’s theorem on      168
Continuity of class $C^{(n)}$      18
Coulomb, C.A.      12I
Courant, R.      288 311 313 322 328 331
Cranz, H.      191
Curvilinear coordinates      197
Curvilinear coordinates, cylindrical      202
Curvilinear coordinates, plane polar      201
Curvilinear coordinates, spherical      203
Deformation      1
Deformation, Eulerian components of      29
Deformation, finite      28
Deformation, homogeneous      4 8
Deformation, infinitesimal      5 18 28
Deformation, Lagrangian components of      29
Deformation, nonhomogeneous      19
Deformation, plane      22
Deformation, pure      2 8 19
Deformation, quadric of      11
Deimel, R.F.      212
Den Hartog, J.P.      190
Deutler, H.      190
Dilatation      17 19 20 32 117
Dilatation, strain energy of      118
Dilatation, uniform      21
Dirichlet, conditions of      151
Dirichlet, conditions of, problem of      128
Dirichlet, conditions of, problem of, for a circle      133 163
Dirichlet, conditions of, problem of, method of finite differences for      335
Dirichlet, conditions of, problem of, Poisson’s formula for      165
Dirichlet, conditions of, problem of, Schwartz’s formula for      165
Displacement, components of      18
Displacements, continuity of      27
Displacements, continuity of, neighboring      281
Divergence      20
Duncan, W.J.      312 315
Dynamical equations      82
D’Alembert, Principle of      82
Elastic coefficients      60 65 67
Elastic coefficients, symmetry of      63
Elastic limit      58
Elastic moduli      67
Elastic moduli, interpretation of      68
Elastic moduli, interpretation of, relations among      71 72
Energy, complementary      286
Energy, complementary, minimum principle of      278 313
Energy, complementary, of deformation      90 278
Energy, complementary, of strain      83 87 284
Energy, complementary, potential      90 280 282 306
Engelmann, F.      195
Equations, of Beltrami — Michell      78
Equations, of Cauchy — Riemann      127
Equations, of compatibility      24 27 34 77
Equations, of elasticity, in curvilinear coordinates      201
Equations, of equilibrium      41 72 201
Equilibrium equations      41 72
Equilibrium equations in curvilinear coordinates      201
Error functions      314 316 323
Eulerian strain components      30 63
Euler’s equation      287 289
Evans, G.C.      105
Extension      8 12 31
Extension, of beams      101 104
Finite deformations and strains      28 89
Finite differences, application of, to torsion      338
Finite differences, application of, to torsion, method of      334
Finite differences, application of, to torsion, use of, in Poisson’s equation      345
Flexural rigidity      111
Flexure, center of      224 227 230 258
Flexure, function of      221 225 229 231 263
Flexure, of beams, anisotropic      274
Flexure, of beams, cardioid      242
Flexure, of beams, circular      235
Flexure, of beams, compound      276
Flexure, of beams, curved      275
Flexure, of beams, elliptical      237 258
Flexure, of beams, hollow      253
Flexure, of beams, initially twisted      274
Flexure, of beams, rectangular      240 272
Foppl, A.      80 81 118 212
Foppl, L.      190
Forces, body      35 73
Forces, surface      35
Forsyth, A.R.      170
Fourier series      150
Fried, B.      337 342 344
Friedrichs, K.      328
Galerkin, B.G.      149 150 314 323
Galerkin’s method      313 322
Galerkin’s method, application of, to torsion      315
Galerkin’s method, estimates of errors in      323
Galerkin’s method, modification of      315
Gauss’ Theorem      20
Geckeler, J.W.      142
Generalized Hooke’s law      59 tS8
Generalized Kronecker delta      10
Golusin, G.      169
Goodier, J.N.      96 101
Goursat, E.      163
Gradient      20
Grarnmel, R.      191 195 300 301 320
Graustein, W.C.      136
Green — Gauss Theorem      20
Green, S.L.      170
Greenhill, A.G.      182
Griffith, A.A.      187 262
Grooves, effect of      139 191
Hamack’s Theorem      100
Harmonic function      79
Hatamura, M.      190
Higgins, T.J.      184 275 345
Hilbert, D.      288 313
Holder’s condition      104
Homogeneous media      60 65
Homogeneous strain      4 8 33
Hooke, R.      57
Hooke’s law      57
Hooke’s law, connection of, with energy      83
Hooke’s law, for isotropic bodies      70 200
Hooke’s law, generalized      59 88
Hooke’s law, in curvilinear coordinates      200
Hooke’s law, symmetry of coefficients in      88
Infinitesimal deformation      5 18 28
Influence coefficients      300 302
Invariants      13 17 50 90 117
Invariants, equations satisfied by      79
Isotropic media      60 64 65
Jackson, D.      154
Jacobsen, L.S.      191 209
Janelidze, G.      274
Kantorovich, L.      169 315
Kappus, R.      33
Kellogg, O.D.      126 129 131 133 105
Kirchhoff, G.      40
Knopp, K.      154
Koch, J.J.      321 323
Kolossoff, G.      149
Kopf, E.      190
Korn, A.      92
Kronecker delta      2 10
Kryloff, V.      169
Kufarev, P.F.      186
Lagrangian strain components      29 30 63
Lame, G.      67
Lamp’s constants      67
Laurent’s series      157
Least-squares method      318
Least-squares method, application of, to torsion      318
Lechnitzky, S.G.      276
Lecornu, L.      33 64
Leibenson, L.      139
Lichtenstein, L.      92
Lipsehitz condition      104
Load, plane of      232
Load, point of      217
Local effects      209 273
Lourie, A.I.      274
Love, A.E.H.      17 23 24 28 33 41 45 54 59 64 71 83 91 95 96 107 116 127 133 142 150 182 191 201 203 212 217 231 274
MacMillan, W.D.      133
MacRobert, J.M.      210
March, H.W.      187 191 195 217
Matuyama, T.      190
Maxwell’s influence coefficients      300
McConnell, A.J.      203
McGivern, J.G.      190
Melentieff, P.      169
Membrane analogy      131 132 187 255 257 261 314 318
Membrane deflection      188
Membrane function      262
Membrane function, connection of, with flexure and torsion      263
Michell, J.H.      78
Minimum potential energy, theorem on      281 304
Minimum potential energy, theorem on, application of      291 312
Minimum principle of stress      286
Moduli of elasticity      67
Moduli of elasticity, bulk      70
Moduli of elasticity, compression      70
Moduli of elasticity, determination of      111
Moduli of elasticity, Poisson’s      68
Moduli of elasticity, relations among      71 72
Moduli of elasticity, rigidity      69
Moduli of elasticity, shear      69
Moduli of elasticity, values of      71
Moduli of elasticity, Young’s      68
Mooratoff, M.      169
Morris, R.M.      174 184 228 243
Moskovitz, D.      345
Murnaghan, F.D.      33 89
Muschelisvili, N.I.      97 160 171
Mushtari, N.M.      252 253
Navier, C.L.M.H.      121
Navier’s equations      74
Nemenyi, P.      195 263
Neuber, H.      209
Neumann’s problem      123 163
Neutral plane      111 115
Nonhomogencous deformation      19
Normal stresses      52
Odqvist, F.      203 204
Ollendorff, F.      170
Orthogonal transformation      12
Orthotropic medium      62 64
Osgood, W.F.      136 163 170
Palerino, D.      276
Panov, D.Y.      33 275
Pearson, K.      40
Picard, E.      159 163
Piccard, A.      190
Pippard, A.J.S.      302
Plane deformation      22
Plane strain      22
Plane stress      56
Plane, neutral      111 115 232
Plane, of bending      115 232
Plane, of load      232
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