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| Love A.E.H. — A Treatise on the Mathematical Theory of Elasticity |
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| Предметный указатель |
Elliptic cylinders under flexure 335
Elliptic cylinders under torsion 317
Elliptic cylinders, confocal 319 336
Elliptic cylinders, solutions of the equations of equilibrium in 273
Energy, intrinsic 93 (see also “Potential energy” “Strain-energy-function”)
Equilibrium, general equations of 6—12 84 100 133 135 141 169 229
Equipollent loads, elastic equivalence of 132
Estanave, E. 492
Euler, L. 3 4 5 401 405 616
Everett, J.D. 105
Ewing, J.A. 32 86 112 113 115 120 346
Ewing, J.A. and Bosenhain, W. 112
Existence theorems 172 232 489
Experimental results, indirectness of 96
Extension 32 40 44 61
Extension of a beam bent by distributed load 361
Extension of a plate bent by pressure 479—484 557—564
Extensional vibrations of a circular ring 453
Extensional vibrations of cylindrical shells 546
Extensional vibrations of plates 497 550
Extensional vibrations of rods 428 481—440
Extensional vibrations of shells 542
Extensional vibrations of spherical shells 551
Extensometer 96 113
Extertxiomt, principal 42 62
Fabre 361
Factors of safety 122 123
Failure see “Liupture”
Fairbaim, W. 574
Fatigue 119
Filon, L.N.G. 89 91 113 138 214 221 273 277 316 328 363 367 368
Fissure see “Dislocation”
Flamant 112 211
Flaws, diminution of strength on account of 123 252 316
Flexural rigidity of beam 369
Flexural rigidity of plate 464
Flexural rigidity of rod 388
Flexure see “Beams”
Flexure functions 882 836—338 343 353
Flexure problem 382
Flow see “Plasticity”
Flue see “Boiler flues”
Fluid 117
Fluor spar, constants for 163
Flux of energy in vibratory motion 177
Foeppl, A. 112 119 122 326 346 558
Forsyth, A.R. 600
Fourier, J.B.J. 441
Fourier’s series 318 495
Fracture see “Liupture”
frameworks 23
Freanel, A. 7
Fredholm, I. 232 266
Frequencies, number of, below fixed high limit 286
Frequency equation 179
Frequency, approximate determination of 441 443
FresneVs toave-surface 299
Fuchs, S. 198
Funicular polygon 376
Fuss, P.H. 3
Galerkin, B. 496
Galileo 1
Galileo9s problem 2
Garabedian, G.A. 363 487
Gardani, P. 104
Garrett, C.A.B. 442
Gauss, C.F. 500
Gehring, F. 27
Geophysics, applications of theory of elasticity to 263
Germain, Sophie 5
Ghree, C. 124 128 146 175 254 255 259 264 267 272 276 278 286 287 290 425 428 442 443
Girders see “Beams”
Glass, constants for 13 105
Goldsohmidt, V. 157
Gough, H.J. and Hanson, D. 112 119 120
Graphic representation of stress 88
Graphic representation of the solution of the problem of continuous beams 376
Graphic representation of the theory of flexure 341
Graphic representation of the theory of torsion 320
Grashof, F. 22 338 346 495
Gravitation see “Compression” “Earth”
Gravity, effect of, on surface waves 309
Gravity, effect of, on vibrations of spheres 286
Green, G. 11 15 18 46 59 85 111 299
Greenes transformation 85
Greenhill, A.G. 146 314 319 320 419 424 425 426 442
Green’s functions 231
Griffith, A.A. 273 322
Grober, M.K. 419
Gronwall, T.H. 320
Groups of transformations 71 151 157
Guest, J.J. 123 460
Gun construction 145
Hadamard, J. 29 59 304 489
Haigh, P.B. 121
Halphen, G.H. 424
Hamburger, M. 200
Hamiltonian principle 166
Hardening by overstrain 116
Hardness 16
Harmonic function 135 230
Harmonics, spherical 249
Harmonics, spherical, applied to problem of equilibrium of thin spherical shell 589
Harmonics, spherical, applied to problem of torsion of round bar 326
Harmonics, spherical, general solution of the equations of equilibrium in terms of 263 276
Harmonics, spherical, general solution of the equations of vibration in terms of 279
Harmonics, spherical, special solutions of the equations of equilibrium in terms of 250 252
Harnaek, A. 65
Hausmaninger, V. 25
Heat see “Thermal effects” “Specific
Height, consistent with stability 425
Helix see “Rods thin” “Springs”
Hencky, H. 448 492 494 496 558
Heppel, J.M. 22
Hereditary phenomena 121
Herglotz, G. 263
Hertz, H. 16 26 498 198 217 306
Hertz’s oscillator, type of waves due to 306
Hess, W. 24 401 417
Hexagonal crystals 158
Hicks, W. ML 232
Hilbert, D. 172
Hilton, H. 149
Hobson, E.W. 589
Hooke, R. 2
Hooke’s law 2 8 12
Hooke’s law, exceptions to 97 112
Hooke’s law, follows from molecular theory 620 625
Hooke’s law, generalized 97
Hopkins, W. 45
Hopkinson, B. 117 120 441
Hopkinson, J. 25 109 146
Hoppe, R. 25 452
Hoskins, L.M. 263
Hough, S.S. 263
Hydrodynamic analogies to torsion problem 314
Hysteresis 118
Hysteresis in special sense 120
Ibbetson, W.J. 17 136
Identical relations, between strain-components see “Compatibility conditions
impact 16 198—200
Impact of metal rods with rounded ends 440
Impact of spheres 200
Impact, initiation of vibrations by 440
Impact, longitudinal, of bars 25 437
Impact, transverse, of bars 441
Incompressible solid, equilibrium of 264 266
Incompressible solid, vibrations of 283 286
Incompressible solid, waves on surface of 808
Inextensional displacement in thin rod 446
| Inextensional displacement in thin shell 499 504 521
Inglis, C.E. 273
Initial stress 109 256 259 618 621
Integration, methods of, for equilibrium 15 232 245 247 263
Integration, methods of, for vibratory motion 179 300 304
Integro-differential equations 121
Interinoleeular action 6 7 9 10 616 620
Invariants of strain 43 62 102
Invariants of stress 83
Inversion of plane strain 215
Inversion, applied to plate 490
Iokibe, K. 109
Iron see “Cast iron”
Iron, constants for 105
Iron, elastic limits for 116
Iron, yield-points for 116
Isostatic surfaces 89 91
Isotropic solids 102
Isotropy, transverse 160
Jaerisch, P. 18 273 278 285
Jeans, J.H. 260 263 286 309
Jeffcott, H.H. 443
Jeffery, G.B. 91 273
Jellett, J.H. 509
Jenkin, G.F. 112 119
Jessop, H.T. 113 131
Jouravski 22
Karman, Th.V. 121 501 558 614 615
Kelvin and Tait 14 20 24 29 35 59 69 71 121 132 190 254 259 262 270 314 381 415 416 421 438 440 459 462 489 553 557 614 615 616
Kelvin, Lord 12 15 39 54 55 61 79 95 99 108 109 111 118 119 172 183 249 262 263 265 294 298 306 614 616 620
Kerr, J. 89
Kinematics of thin rode 381—386 444—447
Kinematics of thin shells 517—524
Kinetic analogue for naturally curved rod 400
Kinetic analogue for naturally straight rod 399
Kinetic analogue for rod bent and twisted by terminal forces and couples 413
Kinetic analogue for rod subjected to terminal couples 417
Kinetic analogue, loxelastica 401
Kinetic moduluses, distinguished from static 98
Kirchhoff, G. 13 23 27 28 30 49 60 99 166 170 301 381 387 393 396 399 414 442 459 461 496 529 553 614
Klein, F. and Sommerfeld, A. 413
Knott, C.G. 494 495
Koenig, W. 306
Koenigs, G. 49
Kohlrausch, R. 109
Kolossoff, C. 320
Koto, A. 232 266 489
Kriemler, C.J. 409
Kuebler, J. 409
Lagerhjelm, P. 99
Lagrange, J.L. 3
Lamarle, E. 409
Lamb, H. 18 29 55 81 173 221 243 247 261 262 263 278 284 286 309 368 448 452 463 471 497 505 514 537 543 548 549 552 557 614
Lame and Clapeyron 10 15 121
Lamina 4
LanuS, G. 13 15 17 51 52 55 83 89 91 121 142 145 272 614 615
Laplace, P.S. 6
Larmor, J. 167 169 256 263 302 316 400 411
Lattice 618
Lattice of multiple point-elements 620
Laura, E. 306
Lauricella, G. 121 232 243 246 248 266 304 489
Laws, B.C. 493
Le Roux, J. 59
Lead, constants for 105
Lees, C.H. 109
Lees, S. 443
Length, standards of, affected by variations of atmospheric pressure, &c. 124.
Levy, H. 373 443
Levy, M. 22 213 373 378 424 425 492
Lewis, W.J. 157
Liebisch, Th. 149 162 616
Light, polarized, examination of stress-systems by means of 89 113 366 368
Limitations of the mathematical theory 112
Limits, elastic see “Elasticity limits
Lines of shearing stress in flexure 342
Lines of shearing stress in torsion 315 321
Lines of stress 88
Lines of stress for force at a point 201
Lines of stress for two bodies in contact 198
Liouville, J. 301
Lipschitz, R. 99
Load 97
Load, sudden application or reversal of 123 181 437
Load, travelling 26 441
Loading, asymmetric, of beams 343
Loading, effect of repeated 119
Loading, surface, of beams 363 366
Longitudinal vibrations of rods see “Extensional vibrations of rods”
Longitudinal waves 7 11
Lorenz, L. 304
MacCullagh, J. 169 300
Macroscopic 617
Maedonald, H.M. 800 320
Magnetometer, deflexion bars 124
Mallock, H.B.A. 104 131 145
Maoleod and Clarke 109
Marcolongo, R. 243 272
Mariotte, E. 2
Mascart, M.E. 89 149
Mason, W. 120
Mathieu, B. 29 496 551
Matter, constitution of 6 620
Maxwell, J.C. 17 84 88 89 108 146 221 232 616
Maxwell’s stress-system 84 87 136 616
Mayer, R. 448
Meissner, E. 589 593
Membrane, analogy of, to bent beam 345
Membrane, analogy of, to twisted shaft 327
Mesnager, A. 211 487 494
Meyer, O.E. 118
Michell, A.G.M. 419 421
Middle third, bule of 86 212
Miers, H.A. 157
Miller, J.W. 416
Minohin, G.M. 69 136
Miohell, J.H. 17 21 24 29 88 91 135 137 141 201 203 210 211 212 215 217 219 221 243 272 276 326 354 356 360 363 444 451 453 465 466 487 489 490
Modes of equilibrium, permanent and transitory 368
Modulus 106 616 modulus “Rigidity” “Young’s
Mohr, O. 22 121 123 375
Molecular hypothesis 6—10
Molinari, A.M. 121
Momentary stress 117
Moments, theorem of three 23 373
Monoclinic crystals 1S8
Morera, G. 88
Morrow, J. 104 442
Morton, W.B. and Close, L.J. 198
Mueller-Breslau, H.F.B. 23
Multiconstant theory 13
Navier 6 22 25 369 491
Neumann, C. 172 248
Neumann, F.E. 14 89 108 155 176
Neutral axis see “Galileo’s problem”
Neutral plane 338
Neutral surface 361 364
Newton, I. 6 198
Nicholson, J.W. 442
Nodal surfaces of vibrating sphere 284
Normal forces, rod bent by 423
Normal functions of vibrating system 179
Normal integrals of linear differential equatibns 600
Notation 614
Nuclei of strain 186 201 208 306
Nuclei of strain, solution of the problem of the plane in terms of 240 243
Oblique crystals 158
Optics, influence of theories of, in promoting research in elasticity 7 8 11 30
Orlando, L. 243
Orr, W.M.F. 443
Orthogonal surfaces 51
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