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| Love A.E.H. — A Treatise on the Mathematical Theory of Elasticity |
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| Предметный указатель |
Ostrogradsky, M. 18
Paschoud, M. 494 495
Pearson, K. 22 111 119 213 340 360 363 373 614
Pendulum, analogy to elastica 401
Perry and Ayrton 378
Perry, J. 348 416 437
Perturbations, local 189
Pesohka, G.A.V. 449
Phillips, E. 26
Photo-elasticity see “Light polarized”
Pidduck, F.B. 443
Piezo-electricity 149
Piezometer 97 145 165
Plane strain 45 137
Plane strain, displacement accompanying 204
Plane strain, transformation of 214
Plane stress 82 137
Plane stress in plate 467
Plane stress, displacement accompanying 206
Plane stress, generalized 138 207
Plane stress, generalized, in bent beam 138 363
Plane stress, generalized, in plate 471
Plane, problem of the 16 191—193 203 237—245
Planes, principal, of stress 81
Plasticity 116
Plate under forces parallel to its faces 208 467
Plate, additional defleiion of 484
Plate, approximate theory of thin 487—489 530
Plate, bent by couples 132
Plate, bent to cylindrical form 553—557
Plate, boundary conditions for 458—463
Plate, deflexion of compared with thickness 489 562 564
Plate, extension of, under pressure 482 557
Plate, flexural rigidity of 464
Plate, general theory of stress in a 455—458
Plate, stability of 527 528
Plate, strength of 489
Plate, theory of moderately thick 465—487
Plate, vibrations of 496—498
Plates of special forms with straight edge 491
Plates of special forms, circular (moderately thick), (thin), loaded symmetrically 489
Plates of special forms, circular (moderately thick), bent by pressure 481 486
Plates of special forms, circular (moderately thick), loaded at centre 475
Plates of special forms, circular (moderately thick), of variable thickness 487
Plates of special forms, circular (moderately thick), vibrations of 496
Plates of special forms, elliptic, bent by pressure 484 486
Plates of special forms, elliptic, vibrations of 496
Plates of special forms, rectangular, in form of long strip 559—564
Plates of special forms, rectangular, under pressure 487 491—496
Plates of special forms, semi-elliptic 496
Plates, history of theory of 5 27—29
Pochhammer, L. 16 18 25 272 287 290 365 428
Poeschl, Th. 273 826
Poincare, H. 232 248 409
Poisson, S.D. 6 8 10 11 12 17 18 26 27 286 294 301 459 489 496 497 553 620
Poisson’s ratio 18 103 107
Polar coordinates 56 91 141 164 201 272 286 507
Pollard, A.F.C. 213
Poncelet, J.V. 121 128
Potassium chloride, constants for 163
Potential energy of strained body, minimum 171
Potential energy, theorem concerning 173
Potential, newtonian, theory of 172 230
Potentials, direct, inverse logarithmic 192 193
Poynting and Thomson 146
Prandtl, L. 322 409 419 421
Prescott, J. 419 558
Pressure 75 (see also “Compression”)
Pressure between bodies in contact 198—198
Pressure does not produce rupture 122
Pressure, hydrostatic 81
Prism, torsion of see “Torsion”
Prismatic crystals 158
Punching of metals 117
Purser, F. 147 277 318 328
Pyrites, constants for 163
Quadratic differential forms 49 50 52
Quadric surfaces, representing distributions of strain 36 41 62 63 67
Quadric surfaces, representing distributions of stress 81 83
Quartz, constants for 163
Radial displacement 142 144 164
Radial vibrations of cylindrical shell 546
Radial vibrations of sphere 285
Radial vibrations of spherical shell 286
Rankine, W.J.M. 22 112 300 346 348 443 614 615
Rari-constant theory 13
Rayleigh, Lord 19 26 29 98 109 173 179 262 263 289 290 292 300 301 304 306 307 309 328 427 428 430 440 441 465 489 496 501 502 503 505 512 513 532 541 542 546 550 552 603 615
Rayleigh-waven 309
Rays, equivalent 149 156
Reality of the roots of the frequency equation 180
Reciprocal strain-ellipsoid 37 62
Reciprocal theorem, Betti’s 16 175 233 235 245
Refraction double due to stress 89
Refraction double due to unequal heating 109
Reissner, H. 589
Resal, H. 450
Resilience 178
Restitution, coefficient of 26 440
Rhombic crystals 158
Rhombohedral crystals 158
Ribiere, C. 367
Rigid-body displacement, superposable upon displacement determined by strain 50
Rigid-body displacement, superposable upon displacement determined by strain or by stress 169
Rigidity 104 107 “Tidal “Torsional
Ring see “Circular ring”
Riohardson, L.F. 213
Ritter, A. 23
Ritz, W. 493 496
Rock-salt, constants for 163
Rods, naturally curved, approximate theory of 396 444
Rods, naturally curved, problems concerning 400 421 424 447—460
Rods, naturally curved, vibrations of 451—454
Rods, thin, approximate theory of 392
Rods, thin, equations of equilibrium of 386
Rods, thin, kinematics of 881
Rods, thin, of variable section 426 442
Rods, thin, problems of dynamical resistance concerning 431—443
Rods, thin, problems of equilibrium concerning 399—426
Rods, thin, slightly deformed 395
Rods, thin, strain in 389
Rods, thin, vibrations of 427—431
Rosenhain, W. and Arohbutt, S.L. 112 119
Rotation of a figure 69
Rotation, centre of 187 306
Rotation, components of 38 73
Rotation, components of, determination of 236 244
Rotation, components of, referred to curvilinear coordinates 56 58
Rotation, strain produced in a cylinder by 146
Rotation, strain produced in a sphere by 254 260
Rotationally elastic medium 169
Routh, B.J. 383 384
Rupture, hypotheses concerning conditions of 121
Saalsohuetz, L. 401 411
safety see “Factors of safety” “Rupture”
Safety, curve of, in plate under pressure 561
Saint-Venant, B. de 13 14 17 19 20 21 22 23 25 26 29 49 59 111 121 123 129 131 161 164 311 316 319 320 824 329 337 339 343 384 392 393 395 416 431 432 437 438 440 441 444 449 450 475 489 491 614
Saint-Venant’s principle 131
Sakai, S. 109
Salmon, G. 43 52 500
Schoenflies, A. 149 157
Schweydar, W. 263
Scoble, W.A. 121
Scope of the mathematical theory 123
Screw-propeller shafts 122
Searle, G.F.C. 32 96 120
Sears, J.E. 117 440
Sebert and Hugoniot 26
Secondary elements of strain 59
Seegar, M. 340
Sehneebeli, H. 199 200
| Semi-inverse method 19
Serini, R. 121
Set 113
Shafts see “Rotation” “Torsion” “Whirling”
Shear used by Kelvin and Tait to denote a strain 616
Shear used by Rankine to denote a stress 615
Shear, pure 33
Shear, simple 33 70 71
Shearing strain 45
Shearing stress 81 (see also “Beams” “Lines
Shearing stress, cone of 84
Shells, thin see “Cylindrical shells thin” “Conical thin” “Spherical thin”
Shells, thin, equilibrium of 534—537 564—567
Shells, thin, general theory of 29 515—537
Shells, thin, inextensional displacement of 499—514
Shells, thin, vibrations of 512—514 538—552
Simple solutions 185 190
Somigliana, C. 243 245 246 248
Sound wavesy 95
Southwell, R.V. 409 410 448 497 574 575
Sphere under radial force 143
Sphere under radial surface traction 251
Sphere with given surface displacement 265
Sphere with given surface tractions 267
Sphere with radial surface displacement 251
Sphere, equilibrium of 15 249
Sphere, gravitating incompressible 255—259
Sphere, rotating 254—260
Sphere, subjected to body force 252 257
Sphere, twisted 252
Sphere, vibrations of 278—286
Spherical cavity in infinite solid 252 265
Spherical shell, equilibrium of, under pressure 142 164
Spherical shell, vibrations of 286
Spherical shells, thin, approximately inextensional solution 586
Spherical shells, thin, edge-effect 686 590
Spherical shells, thin, extensional and other vibrations of 549
Spherical shells, thin, extensional solution for equilibrium 583
Spherical shells, thin, inextensional deformation of 507
Spherical shells, thin, inextensional vibrations of 513
Spheroidal vibrations 286
Springs, spiral 23 415
Stability of elastica 411 421
Stability of flat blade bent in its plane 425
Stability of plate under thrust 538
Stability of ring underpressure 24 430
Stability of rod subjected to twisting couple and thrust 417
Stability of rotating shaft 442
Stability of strut 3 406—409
Stability of tube under pressure 571
Stability, general criteria 30 99 409
Stability, height consistent with 419
Stability, Southwell’s method for 410 538 571
Stability, strength, dependent on 124
Statical method of determining frequencies 441
Steel, constants for 105
Steel, elastic limits and yield-points for 116
Stegmann, E.T. 326
Stokes, G.G. 10 11 12 18 26 37 47 98 104 294 801 303 305 317 866 441
Strain, appropriated by Eankine to denote relative displacement 614
Strain, Cauchy’s theory of 8
Strain, components of 39 61
Strain, composition of finite homogeneous 71
Strain, determined by displacement 39
Strain, displacement effectively determined by 50 222
Strain, examples of 32
Strain, general theory of 59—66
Strain, homogeneous 36 66—73
Strain, identical relations between components of 48
Strain, invariants of 43 44 62
Strain, referred to curvilinear orthogonal coordinates 54 58 631
Strain, resolution of, into dilatation and distortion 47
Strain, transformation of 42
Strain, types of 44 45
Strain-ellipsoid 37 64
Strain-energy-function in  solids 100
Strain-energy-function in bodies with various types of  160
Strain-energy-function in crystals 159
Strain-energy-function in inotropic solids by Hooke’s law 102
Strain-energy-function in inotropic solids by transformation 155
Strain-energy-function, existence of 12 94 620 625 627
Strain-energy-function, form of 98
Strain-energy-function, generalization of 99
Strain-energy-function, introduction of 11
Strength, ultimate 114
Stress, appropriated by Bankine to denote internal action 614
Stress, Cauchy’s theory of 8
Stress, definition of, in a system of particles 617
Stress, direct determination of 17 135 137 465
Stress, graphic representation of 88
Stress, lines of 88
Stress, measure of 79
Stress, methods of determining 100
Stress, notion of 75 616
Stress, resolution of, into mean tension and shearing stress 83
Stress, specification of 77
Stress, transformation of 80
Stress, types of 81
Stress, uniform and uniformly varying 85 100 103 126
Stress-difference see “Rupture”
Stress-equations 84
Stress-equations, referred to curvilinear coordinates 89 168 632
Stress-functions 17 87 136 204—207 274—277
Stress-resultants and stress—couples in plate 28 455
Stress-resultants and stress—couples in rod 386
Stress-resultants and stress—couples in shell 528
Stress-strain relations in solids 106
Stress-strain relations in isotropic solids 102—104
Stress-strain relations, deduced from Hooke’s law 97—99
Stress-strain relations, deduced from structure theory, Born 625
Stress-strain relations, deduced from structure theory, Cauchy 620
Structure of crystalline materials 618 620
Structure of metals 112
Structure theory 617
Strut see “Stability”
Supported edge of a plate 462
Supported end of a rod 370
Surface of revolution as middle surface of shell 565
Surface of revolution, equilibrium of solid bounded by 274
Surface tractions 75
Surfaces, curvature of 500 513
Suspension bridges 361
Symbolic notations 299 615 625
Symmetry of crystals 155
Symmetry, alternating 150
Symmetry, elastic 151
Symmetry, geometrical 149
Symmetry, types of 160
Tait, P.G. 199
Tangential traction 79 83
Taylor, G.I. 322
Tedone, O. 232 243 248 278 804 306 828 369
Tenacity 114
Tension 75
Tension, mean 83
Terazawa, K. 263
Terminology 614
Testing machines 113
Tetragonal crystals 158
Thermal effects 95 108
Thermo-elastic equations 108
Thermodynamics, application of 93 95
Thomson, J.J. 55
Thomson, Sir W. see “Kelvin” “Lord”
Tidal deformation of solid sphere 261
Tidal effective rigidity of the Earth 262
Tides, fortnightly, dynamical theory of 262
Time-effects 116
Timoschenko, S. 328 340 346 408 409 419 426 430 448 494
Timpe, A. 221 272 328
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