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Love A.E.H. A Treatise on the Mathematical Theory of Elasticity
Love A.E.H.  A Treatise on the Mathematical Theory of Elasticity









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: A Treatise on the Mathematical Theory of Elasticity

: Love A.E.H.

:

Most complete treatment of classical elasticity in a single volume. Coverage of stress, strain, bending, torsion, gravitational effects


: en

: /

:

ed2k: ed2k stats

: 4th Edition

: 1944

: 643

: 25.03.2008

: | | ID
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${\AE}olotropic$ solid, constants and moduluses of      105108 161
${\AE}olotropic$ solid, propagation of waves in      18 298300
${\AE}olotropy$      105 149
${\AE}olotropy$ of inertia      300
${\AE}olotropy$, curvi-linear      164
${\AE}olotropy$, produced by permanent set      118
Abraham, M.      44
Adams, F.D.      120
Addilwmal deflexion of beams      348
Addilwmal deflexion of plates      484
Afterstrain      116
Airy, G.B.      16 88
Alibrandi, P.      109
Almansi, E.      22 109 266 356
Amagat, E.H.      105
Angle, transmission of stress from an      211
Anorthic crystals      158
Anticlastic curvature      20 181 340 361
Applicable surfaces      499
Applied mechanics, criticisms of some methods used in      346348
Applied mechanics, treatises on      112
Arches      447
Aron, H.      29
Atoherley, L.W.      213
Average strains, determination of      175
Axes of symmetry      150
Axes, moving      628632
Axes, principal torsion-flexure, of a rod      382
Axes, principal, of strain      37 62
Bach, C.      112 346
Barriers      see Connectivity multiple
bars      see Beams Rods Torsion
Barthelemy, A.      496
Barytes, constants for      164
Basset, A.B.      24 397 453 532 533 537 543 546 548
Bauschinger, J.      112 113 114 115 116 117
Beams, ${\ae}olotropic$      162 344
Beams, bent      see Additional deflexion Beams Continuous Bending Bending Bemoulli-Eulerian Neutral
Beams, bent, curvature of      131 140 338 359 363
Beams, bent, deflexion of      140 339
Beams, bent, displacement in      140 333 338
Beams, bent, distortion of cross-sections of      340
Beams, bent, extension produced in, by transverse load      361 364
Beams, bent, obliquity of cross-sections of      140 338
Beams, bent, shearing stress in      139 331 341 346
Beams, bent, strength of      343
Beams, bent, stress produced in, by transverse load      139 329333 346 357
Beams, bent, twist produced in, by transverse load      340 358
Beams, continuous      22 364
Beams, continuous, several spans      373380
Beams, continuous, single span      370373
Beilby, G.T.      112
Bells, vibrations of      5 552
Beltiami, E.      49 88 135 301
Bending moment      329 359
Bending moment, relation of, to curvature      129 338 359 365
Bending of beams by couples      129131 162
Bending of beams by distributed load      366369
Bending of beams by terminal load      138140 329346
Bending of beams by uniform load      351361
Bending of beams of particular forms of section, circular      335 337 340 341 342 346 362
Bending of beams of particular forms of section, elliptic      835 837 341 342 346 348
Bending of beams of particular forms of section, narrow rectangular      138 846 363
Bending of beams of particular forms of section, other special forms      337 340 346
Bending of beams of particular forms of section, rectangular      837 344 346
Bending of beams, history of theory of      2 3 20 21
Bending of beams, naturally curved      450
Bernoulli, Daniel      3 4
Bernoulli, James      2
Bernoulli, James (the Younger)      5
Bernoulli-Eulerian theory      19 365 368 369
Beryl, constants for      163
Betti, E.      16 44 47 173 174 232
Biharmonic function      135
Binet, J.      23
Bipolar coordinates      273
Birkhoff, G.D.      487
Blade      see Stability
Blanchet, P.H.      18
Body forces      75
Body forces, particular integrals for      183 229 245 252 257 304
Boiler flues, collapse of      574
Bolle, L.      589
Boltzmann, L.      118 146
Borchardt, C.W.      53 109 248 272
Born, M.      411 412 620
Boscovitch, B.J.      6
boundary conditions      100 134 167 228
Boundary conditions in flexure problem      330 332 343
Boundary conditions in gravitating sphere      257
Boundary conditions in plates      27 458163
Boundary conditions in shells      29 536 543
Boundary conditions in torsion problem      313
Boundary conditions in vibrating cylinder      289 292
Boundary conditions in vibrating sphere      281
Bourdons gauge      501
Boussinesq, J.      16 20 24 26 29 89 185 188 190 193 211 240 243 314 316 351 431 435 441 459
Brass, constants for      13 105
Braun, P.      118
Breaking stress      114
Bresse, M.      24 447
Brewster, D.      89
Bridges, suspension      361
Bridges, travelling load on      26 441
Bromwich, T.J.IA.      286 300 309 431
Bryan, G.H.      30 409 484 486 538 574
Buckling, resistance to      408 (see also Stability)
Burgess, R.W.      406
Burkhardt, H.      7 15
Butcher, J.G.      118
Calliphronas, G.C.      363
Canevazzi, S.      22 378
Cannon      see Gun construction
cantilever      21 367
Capillarity      6
Carothers, S.D.      215 273
Cartography      63
Cast iron      109 114 115
Cast metals      97
Cauchy, A.L.      8 9 10 11 12 14 18 19 27 35 59 74 81 83 108 111 392 497 616 618
Cauchys relations      14 100 163 617 620 627
Central-line of prismatic body or curved rod      130
Cerruti, V.      16 238 241 243 248 303
Cesaro, E.      55 221 223
Chains, links of      447
Chakko, K.G.      113
Chladni, E.F.F.      5
Christoffel, E.B.      18 50 299
Cilley, P.H.      111
Circuits, non-evanesoible and reconcilable      see Connectivity multiple
Circular arc      see Arches Circular
Circular cylinder      see Bending of beams
Circular cylinder, equilibrium of, under any forces      270
Circular cylinder, strained symmetrically      276
Circular cylinder, vibrations of      18 287292
Circular disk, equilibrium of, under forces in its plane      217219
Circular disk, rotating      147
Circular ring (flat) under forces in its plane      272
Circular ring (flat), (thin), equilibrium of      402 424 448450
Circular ring (flat), stability of      424
Circular ring (flat), vibrations of      451454
Clamped end of a rod      370
Clanpped edge of a plate      462
Clapeyron, B.P.E.      15 22 373
Clausius, R.      9 10
Clebsoh, A.      13 17 21 24 27 28 35 179 180 207 270 272 387 388 396 397 468 553
Codazzi, D.      516
Coker, E.G.      89 113 120 364
Collapse      see Stability
Collision      see Impact
Colour fringes      see Light polarized
Combined strain      343
Compatibility, conditions of      49
Complex variable      see Conjugate functions
Compression of a body between parallel planes      175 277
Compression of a body under pressure      103 107 142 144 164 176
Compression of a sphere by its own gravitation      143
Compression, centre of      187 306
Compression, modulus of      12 103 107 145
Cones, equilibrium of      203
Conformal transformation      see Conjugate functions
Conical shells, thin, approximately inextensional solution      603
Conical shells, thin, edge-effect under lateral forces      595
Conical shells, thin, edge-effect under symmetrical conditions      691
Conical shells, thin, edge-effect under unsymmetrical conditions      605
Conical shells, thin, extensional solution for equilibrium of, under lateral forces      594
Conical shells, thin, extensional solution for equilibrium of, under syriimetrical conditions      590
Conical shells, thin, extensional solution for equilibrium of, under unsymmefcrical conditions      601
Conical shells, thin, inextensional deformation of      603
Conical shells, thin, of variable thickness      593
Conjugate functions      46 91 215 219 272 313 329 335
Conjugate property of harmonic functions      230 267
Conjugate property of normal functions      180
Connectivity, multiple      221 223
Constants, elastic, controversy concerning      1315
Constants, elastic, definition of      99
Constants, elastic, experimental determination of      13 104 145 163 492
Constants, elastic, magnitude of      106
Constants, elastic, of crystals      163
Constants, elastic, of isotropic bodies      102
Constants, elastic, thermal variations of      109
Continuing equation      432
Cook, G.      575
Coordinates, curvilinear orthogonal      51 56 Conjugate Cylindrical Elliptic Polar
Coordinates, curvilinear orthogonal, dilatation and rotation in terms of      54
Coordinates, curvilinear orthogonal, general equations in terms of      141 168
Coordinates, curvilinear orthogonal, Lames identities for      52
Coordinates, curvilinear orthogonal, second derivatives in terms of first      57
Coordinates, curvilinear orthogonal, strain in terms of      53 58 631
Coordinates, curvilinear orthogonal, stress-equations in terms of      89 167 632
Copper, constants for      105
Cornu, M.A.      104 131
Cosserat, E. and F.      128 266 267
Coulomb, C.A.      3 4 121
Coulon, J.      304
Cowley, W.L.      373 443
Cox, H.      441
Cracks, diminution of strength on account of      273
Crawford, W.J.      493
Crushing of cylindrical test pieces      277
Crushing of metals      117
Crystalline medivm      see ${\AE}olotropic$ solid Crystals
Crystals, classification of      157
Crystals, elastic constants of      163
Crystals, elasticity of      14 159
Crystals, Neumanns law of physical behaviour of      14 156
Crystals, symmetry of      155
Cubic capacity of a vessel      124
Cubic crystals      157 162
Culmann, K.      23
Curl of a vector      46
Currents, electric      225
Curvature      see Beams Rods Plates Shells Surfaces
Curve of sines, a limiting case of the elastica      3 405 406
Cylindrical body of any form of section, equilibrium of      see Beams Plane Plane Rods Plates
Cylindrical body of any form of section, equilibrium of, in a state of plane strain      273
Cylindrical body of any form of section, equilibrium of, in a state of stress uniform along its length      349
Cylindrical body of any form of section, equilibrium of, in a state of stress uniform, or varying uniformly, over its cross-sections      475
Cylindrical body of any form of section, equilibrium of, in a state of stress varying uniformly along its length      351
Cylindrical body of any form of section, equilibrium of, under fluid pressure      128
Cylindrical body of any form of section, equilibrium of, under gravity      127 175
Cylindrical body of any form of section, equilibrium of, under tension      103
Cylindrical coordinates      56 90 143 164 272 274 288
Cylindrical flaw in twisted shaft      123 316
Cylindrical shells (thick), equilibrium of, under pressure      144
Cylindrical shells (thin) under pressure      570
Cylindrical shells (thin), approximately inextensional solution      530
Cylindrical shells (thin), bending of      579
Cylindrical shells (thin), edge-effect under lateral forces      576
Cylindrical shells (thin), edge-effect under symmetrical conditions      569
Cylindrical shells (thin), edge-effect under unsymmetrical conditions      582
Cylindrical shells (thin), extensional solution for equilibrium of, under lateral forces      575
Cylindrical shells (thin), extensional solution for equilibrium of, under symmetrical conditions      568
Cylindrical shells (thin), extensional solution for equilibrium of, under unsymmetrical conditions      580
Cylindrical shells (thin), inextensional deformation of      505
Cylindrical shells (thin), stability of, under pressure      571575
Cylindrical shells (thin), vibrations of, extensional      543
Cylindrical shells (thin), vibrations of, general theory      546
Cylindrical shells (thin), vibrations of, inextensional      512 547
Dadourian, H.M.      109
Dalby, W.E.      114 120
Dams, stresses in      213
Daniele, E.      273
Darnley, E.H.      443
Darwin, G.H.      15 121 259 262 263
Davidoglou, A.      442
Debye, P.      286
Deflexion      see Beams Plates
Density, table of      105
Diagrams of plane stress      88
Diagrams, stress-strain      113
Diagrams, unclosed      120
Dilatation, cubical      41 61
Dilatation, cubical, average value of      175
Dilatation, cubical, centre of      187
Dilatation, cubical, determination of      233
Dilatation, cubical, in curvilinear coordinates      54
Dilatation, cubical, uniform      44
Dilatation, cubical, waves of      18 293 297
Discontinuity, connected with dislocation      223
Discontinuity, motion of a surface of      295299
Disk      see Circular disk
Dislocation in two-dimensional system      221
Dislocation of hollow cylinder with parallel fissure      225
Dislocation of hollow cylinder with radial fissure      227
Dislocation, theory of      221 225
Displacement      35
Displacement, effectively determined by strain      50 222
Displacement, many-valued      221
Displacement, one-valued in torsion and flexure of hollow shaft      320 333
Distortion of cross-sections of bent beam      340
Distortion of cross-sections of twisted prism      320
Distortion, waves of      18 293 297 299
Divergence of a vector      46
Double force      187 246 306
Dougall, J.      186 235 237 243 246 368 488
Dubois, F.      593
Duhamel, J.M.C.      108
Duhem, P.      47
Dunkerley, S.      443
Dynamical resistance      26 123 431437 441
Earth in a state of initial stress      110 143 256
Earth, ellipticity of figure of      260
Earth, period of spheroidal vibrations of      286
Earth, strained by its own gravitation      143 255
Earth, stress produced in, by weight of continents      259
Earth, tidal effective rigidity of      261
Earthquakes      309
Ease, state of      113
Eddington, A.S.      50
Eddy, H.T.      447
Edge-effect in thin shells      549 556 570 thin Spherical thin Conical thin)
Edwardes, D.      267 273
Elastic after-working      116
Elastica      3 24 401405
Elastica, stability of      411 421
Elasticity, defined      92
Elasticity, limits of      113 115
Ellipsoid, solutions of the equations of equilibrium in      248 264 267
Elliptic coordinates      273
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