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Barber J.R. — Elasticity
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Íàçâàíèå: ElasticityÀâòîð: Barber J.R. Àííîòàöèÿ: 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.
ßçûê: Ðóáðèêà: Òåõíîëîãèÿ /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Èçäàíèå: Second editionÃîä èçäàíèÿ: 2002Êîëè÷åñòâî ñòðàíèö: 410Äîáàâëåíà â êàòàëîã: 09.04.2010Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Abel integral equations 364—367 374 376 378 387—388 Abel integral equations, inversion 366—367 Airy stress function 42—44 79—81 98 123 201—202 281 Alternating tensor 17 25 Antiplane shear (antiplane strain) 209—217 Asymptotic methods 141—152 Auxiliary solution 395 Axisymmetric problems 313—322 327—334 341—350 Axisymmetric problems, plane thermoelastic 281—282 Axisymmetric problems, torsion 341—350 Bending 51—55 222 239 Betti's theorem 394—404 Biharmonic equation 44 49 73 87 99 137 202 Body force 23 43 79—96 187 202 259—260 282 Bonded interfaces 151—151 381—392 boundary conditions 5 210 241 Boundary conditions, global 296 374 383 384 Boundary conditions, mixed 352 359 374 384 Boundary conditions, weak 36 53 55—57 66 93 313 319 331 Boussinesq potentials 263—266 Boussinesq problem 295—298 Bubble model 190—191 bulk modulus 20 Burgers' vector 189 Carter's problem 177—179 Cartesian tensors 8 Cattaneo's problem 174—177 Cauchy integral equations 163 196 389 Centre of compression 292 Centre of dilatation 292 Centre of rotation 347 Change in volume 395 Circular cylinder 242—244 281—282 313—319 322—323 Circular disk 88 97 202 Circular hole 97 101—104 108—109 Circular plates 319—322 Circular sector 153 Climb dislocation 189 195 Closed sections 231—232 Closure conditions 192—193 196 Coefficient of friction 173 Collins' method 360—369 Compatibility equations 24—28 81 Completeness 67 75 255—259 Complex variable formulation 272—276 Complex variable formulation, axisymmetric complex potentials 360—365 Concentrated force 157—161 185—187 212 293—297 Conical bar 330—336 346—347 Conservative vector fields 80 Constraint equations 50 Contact problems 81 151 162—183 269 351—357 397—400 Contact problems, frictionless contact 162—169 172 269 351—357 397—400 Contact problems, unilateral inequalities 167 353 Continuity of displacement 119 123 186 368 374 387 Cooerdinate transformation 7—11 15—18 210 Corrective solution 35—36 71—77 102 175 178 195—197 329 373—376 383—386 Coulomb friction 173 364 Crack opening displacement 197 375 390 Cracks 147 150 194—197 284 373—392 Creep velocity 177 179 Curved beams 123—136 Cylindrical cantilever 242—244 322—323 D'Alembert's principle 82 Degeneracy 104—106 Degeneracy, special solutions 104—106 129—130 133—135 Dilatation 19 20 Dilatation, centre of 292 Dilatation, surface dilatation 297 Dislocation derivatives 193 Dislocations 188—193 204 215—216 Displacement 11 Displacement gradient 162 Displacement, calculation from stress components 111—117 Displacement, notation for 11 Displacement, rigid-body displacements 12 113—114 116 162 163 Displacement, single-valued displacements 26 119 123 185—187 Dundurs' constants 45 172 385 386 Dundurs' theorem 205—206 Eigenfunction expansion 75 77 144—146 153 eigenvalue problems 74—77 127—128 141—152 Elastodynamics 83 Elliptical bar 226 End effects 71—77 348—349 Energy release rate 391 392 Equilibrium equations 23—24 29 89 251 252 279 283 Flamant solution 157—161 185 Flat punch indentation 165—166 185 Fourier series methods 62—66 99—101 164—165 229—230 245—246 302 Fourier transform methods 66—67 152 Fracture mechanics 193—194 391—392 Fracture toughness 194 Fredholm integral equations 389 391 Friction 173 Galerkin vector 252—254 Gap function 170—172 397 Glide dislocation 189 Global boundary conditions 276 296 377 383—384 Gravitational loading 12—14 79 82 Green — Collins representation 360—365 Green's functions 144 160 161 170 185 192 352 396 Griffith fracture theory 194 391—392 Gross slip 176 Half-plane 141 147 159—163 Half-plane, surface displacements 159—162 Half-space 269 272 284 295—297 351 383 Half-space, coupling between normal and tangen-tial effects 172 386 Hankel transform 359—360 Heat conduction 203 Hertzian contact 167—169 172 367—368 History-dependence 173—179 Hooke's law 3 13 18—20 201 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 381—392 Interface crack, contact solution 390—391 Irrotational vector field 80 252 Kelvin problem 185—187 293—295 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 393—394 Mellin transform 152 Membrane analogy 227 Michell's solution 106 107 117 118 Microslip 176 179 Mindlin's problem 174—177 mixed boundary-value problem 352—353 359—371 374 376 384—386 Mode mixity 390 Mohr's circle 8 Multiply-connected bodies 26—28 119 204 231—232 281 Notches 141—142 144 Oscillatory singularities see “Singular stress fields” Papkovich — Neuber solution 254—255 264—265 272 275 Particular solution 87 88 Path-independent integrals 26 80 Penny-shaped crack 373—379 Penny-shaped crack, at an interface 386—391 Penny-shaped crack, in tension 373—375 Penny-shaped crack, obstructing heat conduction 375—379 Phase transformation 292 Plane crack in tension 194—197 Plane strain 33—36 Plane strain, relation to plane stress 38—39 202 Plane strain, solution in complex variables 272—275 Plane stress 36—38 Plane stress, generalized plane stress 38 Poisson's ratio 18 Polynomial solutions 49—62 71 Prandtl's stress function 224—225 240 Process zone 194 392 Reciprocal theorem 393—404 Rectangular bar 211—212 229—231 244—246 Rectangular beams 49—70 85—87 90—92 111—115 Rectangular beams, end conditions 71—77 113—115 399 Rectangular beams, shear deflection 115 Recurrence relations 303 307 309—310 Rigid-body displacements see “Displacements” Rolling contact 177—179 Rotation of a line 14—15 Rotation vector 17 252 Rotational acceleration 88—93 Saint — Venant's principle 36 71 221 Screw dislocation 213—214 Self-equilibrated tractions 35—35 71 Self-similarity 157 185 294 295 Separated-variable solutions 67 73 77 157 Shift 173 Simple radial distribution 159 Singular stress fields 142—144 149—150 166 185 191 291—300 382 Singular stress fields, oscillatory singularities 389 391 SLIP 174—179 Source solution 291 294—295 362 Specific heat 203 Sphere 296 327—328 Spherical harmonics 301—311 Spherical hole 329—330 Spherical polar angle 267 STICK 174—179 Strain energy 143 Strain potential 251 255 264 Strain suppression 283 Strain transformation relations 18 Strain, notation for 12 Strain, shear strain, definition 17—18 Strain, tensile strain 13 Strain-displacement relations 13 18 Strain-displacement relations, in polar coordinates 99 Stress concentration factors 103 109 330 Stress concentrations 101—104 108—109 125 142 150 192 329—330 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 10—11 Stress, shear stress 5 Stress-strain relations 18—20 201 Summation convention 6 Surface dilatation 297 Surface displacements 296 351 Surface energy 194 Symmetry 60 63 74 88—89 140 145 272 316 378 384 Thermal capacity 203 thermal conductivity 203 Thermal diffusivity 203 Thermal distortivity 205 287 Thermal expansion coefficient 201 Thermoelastic displacement potential 279—281 292 Thermoelastic plane stress 284 Thermoelasticity 201—207 279—289 Thermoelasticity, axisymmetric stress in the cylinder 281—282 311—319 Thermoelasticity, heat flow obstructed by a crack 375—379 Thermoelasticity, plane problems 201—207 281—282 Thermoelasticity, steady-state temperature 204—206 283—287 Thermoelasticity, thick plate 284 Thermoelasticity, Williams' solution 283—284 Thin-walled sections 227—228 Tilted punch 397—399 Torsion 223—237 242 341—350 Torsional rigidity 226 Transformation of coordinates see “Coordinate transformation” Transverse shear 239—248 Twist 223—224 Uniform rotation 85—87 Unilateral contact see “Contact problems — unilateral inequalities” Uniqueness 255—259 Vector notation 7 Von Mises stress 11 Wedge problems 137—156 Williams' asymptotic method 141—152 Young's modulus 18
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