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Barber J.R. Ч Elasticity
Barber J.R. Ч Elasticity



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Ќазвание: Elasticity

јвтор: Barber J.R.

јннотаци€:

This is a first year graduate textbook in Linear Elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of Solid Mechanics, Continuum Mechanics or Mathematics being minimized. Most of the text should be readily intelligible to a reader with an undergraduate background of one or two courses in elementary Mechanics of Materials and a rudimentary knowledge of partial differentiation. Emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results.
The Topics covered were chosen with a view to modern research applications in Fracture Mechanics, Composite Materials, Tribology and Numerical Methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermo elasticity, singular asymptotic stress fields and three-dimensional problems.

This second edition includes new chapters on antiplane stress systems, Saint-Venant torsion and bending and an expanded section on three-dimensional problems in spherical and cylindrical coordinate systems, including axisymmetric torsion of bars of non-uniform circular cross-section.


язык: en

–убрика: “ехнологи€/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: Second edition

√од издани€: 2002

 оличество страниц: 410

ƒобавлена в каталог: 09.04.2010

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Abel integral equations      364Ч367 374 376 378 387Ч388
Abel integral equations, inversion      366Ч367
Airy stress function      42Ч44 79Ч81 98 123 201Ч202 281
Alternating tensor      17 25
Antiplane shear (antiplane strain)      209Ч217
Asymptotic methods      141Ч152
Auxiliary solution      395
Axisymmetric problems      313Ч322 327Ч334 341Ч350
Axisymmetric problems, plane thermoelastic      281Ч282
Axisymmetric problems, torsion      341Ч350
Bending      51Ч55 222 239
Betti's theorem      394Ч404
Biharmonic equation      44 49 73 87 99 137 202
Body force      23 43 79Ч96 187 202 259Ч260 282
Bonded interfaces      151Ч151 381Ч392
boundary conditions      5 210 241
Boundary conditions, global      296 374 383 384
Boundary conditions, mixed      352 359 374 384
Boundary conditions, weak      36 53 55Ч57 66 93 313 319 331
Boussinesq potentials      263Ч266
Boussinesq problem      295Ч298
Bubble model      190Ч191
bulk modulus      20
Burgers' vector      189
Carter's problem      177Ч179
Cartesian tensors      8
Cattaneo's problem      174Ч177
Cauchy integral equations      163 196 389
Centre of compression      292
Centre of dilatation      292
Centre of rotation      347
Change in volume      395
Circular cylinder      242Ч244 281Ч282 313Ч319 322Ч323
Circular disk      88 97 202
Circular hole      97 101Ч104 108Ч109
Circular plates      319Ч322
Circular sector      153
Climb dislocation      189 195
Closed sections      231Ч232
Closure conditions      192Ч193 196
Coefficient of friction      173
Collins' method      360Ч369
Compatibility equations      24Ч28 81
Completeness      67 75 255Ч259
Complex variable formulation      272Ч276
Complex variable formulation, axisymmetric complex potentials      360Ч365
Concentrated force      157Ч161 185Ч187 212 293Ч297
Conical bar      330Ч336 346Ч347
Conservative vector fields      80
Constraint equations      50
Contact problems      81 151 162Ч183 269 351Ч357 397Ч400
Contact problems, frictionless contact      162Ч169 172 269 351Ч357 397Ч400
Contact problems, unilateral inequalities      167 353
Continuity of displacement      119 123 186 368 374 387
Cooerdinate transformation      7Ч11 15Ч18 210
Corrective solution      35Ч36 71Ч77 102 175 178 195Ч197 329 373Ч376 383Ч386
Coulomb friction      173 364
Crack opening displacement      197 375 390
Cracks      147 150 194Ч197 284 373Ч392
Creep velocity      177 179
Curved beams      123Ч136
Cylindrical cantilever      242Ч244 322Ч323
D'Alembert's principle      82
Degeneracy      104Ч106
Degeneracy, special solutions      104Ч106 129Ч130 133Ч135
Dilatation      19 20
Dilatation, centre of      292
Dilatation, surface dilatation      297
Dislocation derivatives      193
Dislocations      188Ч193 204 215Ч216
Displacement      11
Displacement gradient      162
Displacement, calculation from stress components      111Ч117
Displacement, notation for      11
Displacement, rigid-body displacements      12 113Ч114 116 162 163
Displacement, single-valued displacements      26 119 123 185Ч187
Dundurs' constants      45 172 385 386
Dundurs' theorem      205Ч206
Eigenfunction expansion      75 77 144Ч146 153
eigenvalue problems      74Ч77 127Ч128 141Ч152
Elastodynamics      83
Elliptical bar      226
End effects      71Ч77 348Ч349
Energy release rate      391 392
Equilibrium equations      23Ч24 29 89 251 252 279 283
Flamant solution      157Ч161 185
Flat punch indentation      165Ч166 185
Fourier series methods      62Ч66 99Ч101 164Ч165 229Ч230 245Ч246 302
Fourier transform methods      66Ч67 152
Fracture mechanics      193Ч194 391Ч392
Fracture toughness      194
Fredholm integral equations      389 391
Friction      173
Galerkin vector      252Ч254
Gap function      170Ч172 397
Glide dislocation      189
Global boundary conditions      276 296 377 383Ч384
Gravitational loading      12Ч14 79 82
Green Ч Collins representation      360Ч365
Green's functions      144 160 161 170 185 192 352 396
Griffith fracture theory      194 391Ч392
Gross slip      176
Half-plane      141 147 159Ч163
Half-plane, surface displacements      159Ч162
Half-space      269 272 284 295Ч297 351 383
Half-space, coupling between normal and tangen-tial effects      172 386
Hankel transform      359Ч360
Heat conduction      203
Hertzian contact      167Ч169 172 367Ч368
History-dependence      173Ч179
Hooke's law      3 13 18Ч20 201
Hydrostatic stress      8 396
Inclusions      121 193
Incompressible material      20 172
Index notation      6
Inertia forces      82
Integral equations      163 196 352 360 364 389
Interface crack      381Ч392
Interface crack, contact solution      390Ч391
Irrotational vector field      80 252
Kelvin problem      185Ч187 293Ч295
Kronecker delta      20
Lame's constants      19
Legendre functions      305 307 343
Legendre polynomials      298 303 308
Legendre's equation      303
Love's strain potential      254 265
Maxwell's theorem      393Ч394
Mellin transform      152
Membrane analogy      227
Michell's solution      106 107 117 118
Microslip      176 179
Mindlin's problem      174Ч177
mixed boundary-value problem      352Ч353 359Ч371 374 376 384Ч386
Mode mixity      390
Mohr's circle      8
Multiply-connected bodies      26Ч28 119 204 231Ч232 281
Notches      141Ч142 144
Oscillatory singularities      see УSingular stress fieldsФ
Papkovich Ч Neuber solution      254Ч255 264Ч265 272 275
Particular solution      87 88
Path-independent integrals      26 80
Penny-shaped crack      373Ч379
Penny-shaped crack, at an interface      386Ч391
Penny-shaped crack, in tension      373Ч375
Penny-shaped crack, obstructing heat conduction      375Ч379
Phase transformation      292
Plane crack in tension      194Ч197
Plane strain      33Ч36
Plane strain, relation to plane stress      38Ч39 202
Plane strain, solution in complex variables      272Ч275
Plane stress      36Ч38
Plane stress, generalized plane stress      38
Poisson's ratio      18
Polynomial solutions      49Ч62 71
Prandtl's stress function      224Ч225 240
Process zone      194 392
Reciprocal theorem      393Ч404
Rectangular bar      211Ч212 229Ч231 244Ч246
Rectangular beams      49Ч70 85Ч87 90Ч92 111Ч115
Rectangular beams, end conditions      71Ч77 113Ч115 399
Rectangular beams, shear deflection      115
Recurrence relations      303 307 309Ч310
Rigid-body displacements      see УDisplacementsФ
Rolling contact      177Ч179
Rotation of a line      14Ч15
Rotation vector      17 252
Rotational acceleration      88Ч93
Saint Ч Venant's principle      36 71 221
Screw dislocation      213Ч214
Self-equilibrated tractions      35Ч35 71
Self-similarity      157 185 294 295
Separated-variable solutions      67 73 77 157
Shift      173
Simple radial distribution      159
Singular stress fields      142Ч144 149Ч150 166 185 191 291Ч300 382
Singular stress fields, oscillatory singularities      389 391
SLIP      174Ч179
Source solution      291 294Ч295 362
Specific heat      203
Sphere      296 327Ч328
Spherical harmonics      301Ч311
Spherical hole      329Ч330
Spherical polar angle      267
STICK      174Ч179
Strain energy      143
Strain potential      251 255 264
Strain suppression      283
Strain transformation relations      18
Strain, notation for      12
Strain, shear strain, definition      17Ч18
Strain, tensile strain      13
Strain-displacement relations      13 18
Strain-displacement relations, in polar coordinates      99
Stress concentration factors      103 109 330
Stress concentrations      101Ч104 108Ч109 125 142 150 192 329Ч330
Stress intensity factors      194 197 375 379 389 390
Stress transformation relations      8 91
Stress, equivalent tensile stress      11
Stress, hydrostatic stress      8 396
Stress, mean stress      20
Stress, notation for      4
Stress, principal stress      8 10Ч11
Stress, shear stress      5
Stress-strain relations      18Ч20 201
Summation convention      6
Surface dilatation      297
Surface displacements      296 351
Surface energy      194
Symmetry      60 63 74 88Ч89 140 145 272 316 378 384
Thermal capacity      203
thermal conductivity      203
Thermal diffusivity      203
Thermal distortivity      205 287
Thermal expansion coefficient      201
Thermoelastic displacement potential      279Ч281 292
Thermoelastic plane stress      284
Thermoelasticity      201Ч207 279Ч289
Thermoelasticity, axisymmetric stress in the cylinder      281Ч282 311Ч319
Thermoelasticity, heat flow obstructed by a crack      375Ч379
Thermoelasticity, plane problems      201Ч207 281Ч282
Thermoelasticity, steady-state temperature      204Ч206 283Ч287
Thermoelasticity, thick plate      284
Thermoelasticity, Williams' solution      283Ч284
Thin-walled sections      227Ч228
Tilted punch      397Ч399
Torsion      223Ч237 242 341Ч350
Torsional rigidity      226
Transformation of coordinates      see УCoordinate transformationФ
Transverse shear      239Ч248
Twist      223Ч224
Uniform rotation      85Ч87
Unilateral contact      see УContact problems Ч unilateral inequalitiesФ
Uniqueness      255Ч259
Vector notation      7
Von Mises stress      11
Wedge problems      137Ч156
Williams' asymptotic method      141Ч152
Young's modulus      18
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