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Sadd M.H. — Elasticity: theory, applications, and numerics
Sadd M.H. — Elasticity: theory, applications, and numerics

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Название: Elasticity: theory, applications, and numerics

Автор: Sadd M.H.

Аннотация:

Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. Complemented by a Solutions Manual and including MatLab codes and coding, this text is an excellent book teaching guide.


Язык: en

Рубрика: Физика/Классическая физика/Упругие среды/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 461

Добавлена в каталог: 18.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Airy stress function      132 253 326
Alternating symbol      6
Analytic function      247
Angle of twist      204
angular momentum      60
Anisotropic elasticity      72 283
Anti-plane stain      131
Antisymmetric tensors      6
Approximate solution methods      97
Axisymmetric problems, plane case      159 252
Axisymmetric problems, three-dimensional case      350—353 356 358
Beam problems, pure bending      143
Beam problems, sinusoidal transverse loading      150
Beam problems, uniform axial loading      141
Beam problems, uniform transverse loading      145
Beltrami stress function      363
Beltrami — Michell compatibility equations, general equations      88
Beltrami — Michell compatibility equations, plane strain      125
Beltrami — Michell compatibility equations, plane stress      128
Bending of curved beams      182
Betti / Rayleigh reciprocal theorem      110
Biharmonic equation      133 139
Biharmonic functions      133 139 348—350
Biharmonic solutions      133 139
Biharmonic vectors      350 366
Body couple      389
Body force vector in finite element theory      420
Body forces      49
boundary conditions      84
Boundary element method      98 413 429
Boussinesq potentials      356
Boussinesq problem      353 356
Brazilian test      185
bulk modulus      76 77
Burgers vector      373
Calculus of variations      117
Cartesian tensor notation      9
Castigiliano's theorem      117
Cauchy — Riemann equations      248
Cauchy's integral formula      249
Cauchy's integral theorem      248
Center of dilatation      361 368 382
Center of flexure      233
Center of rotation      383
Cerruti's problem      354
Characteristic equation (principal value problem)      12
Clapeyron's theorem      110
Coefficient of thermal expansion      78 320
Comma notation      16
Compatibility equations      see Saint — Venant and/or Beltrami — Michell compatibility equations
Complementary energy      114
Completeness      347 354
Complex conjugate      246
complex derivative      247
Complex displacements      253
Complex Fourier series      260 308
Complex potential functions      254
Complex stresses      254
Complex temperature      334
Complex variable      245
Complex variable methods, anisotropic plane problem      301
Complex variable methods, anisotropic torsion problem      296
Complex variable methods, plane problem      252
Complex variable methods, thermoelastic plane problem      334
Complex variable methods, torsion problem      213
Compliance tensor      284
COMPOSITES      283 292
Concentrated force problem, plane problem      170 265 266 304 305
Concentrated force problem, three-dimensional problem      353 356
Conformal mapping or transformations      251 269 307
Conjugate functions      248
Conservation of angular momentum      60
Conservation of energy      320
Conservation of linear momentum      59
Constitutive relations      69
Contact problems      177
Continuum mechanics      3
Contraction of tensors      5
Conversion between plane strain and plane stress, isothermal case      129
Conversion between plane strain and plane stress, thermoelastic case      324
Convex region      355
Coordinate systems: Cartesian      7 437
Coordinate systems: cylindrical      19 437
Coordinate systems: general orthogonal curvilinear      20
Coordinate systems: polar      23
Coordinate systems: spherical      20 437
Coordinate transformation      7
Cosserat continuum      389
Couple stress tensor      389
Couple stress theory      50 388 390
Coupling term (thermoelastic energy equation)      320
Crack density parameter      385
Crack problems      179 273 312 341
Curl operation      17 22
Curved beams      182
Cyclic functions      258 336 338
Cylindrical coordinates      19
Deformation      27
Degrees of freedom      418
Del operator      17
Determinant      7
Dilatation      36 46
Dirac delta function      261
Direct solution method      93
Dislocations, edge      372—374
Dislocations, screw      47 372 375
Displacement formulation      89
Displacement gradient tensor      29
Displacement potentials      347
Displacement vector      28
Divergence operation      17 22
Divergence theorem      18
Doublet mechanics      371 403
Dual vector      26
Duhamel — Neumann thermoelastic law      78 320
Dyadic notation      10
Eigenvalue problem      12
Elastic limit      70
Elastic material      70
Elastic moduli      72 77
Elasticity with distributed cracks      371 385
Elasticity with voids      371 397
Elliptical hole problem      272 307
energy equation      319
Energy methods: minimum complementary energy      114
Energy methods: minimum potential energy      114
Engineering strains      32
Equilibrated body force      398
Equilibrated force      398
Equilibrated stress vector      398
Equilibrium equations      59
Equilibrium equations, Cartesian      60 438
Equilibrium equations, cylindrical      62 439
Equilibrium equations, polar      67
Equilibrium equations, spherical      63 439
Euler — Bernoulli beam theory      116
Eulerian description      28
Even functions      154
Extension of cylinders      202
Failure criteria (distortional slrain energy)      107
Finile difference method      98 413
Finite element method      98 413 414
Flamant solution      170 266
Flamant's paradox      406
Flexure of cylinders, circular section      233
Flexure of cylinders, general formulation      229
Flexure of cylinders, rectangular section      235
Force doublet      360 367 380 381
Fourier law of heat conduction      319
Fourier methods      96 149 219
Fourier series      153
Fracture mechanics      181 274 312 341
Functionally graded materials      72 100 137
Fundamental solution      111
Galerkin vector      347 349 366
Generalized plane stress      129
Global reference system      422
Gradient operation      17 22
Granular materials      198 403
Green's function      111 431
Green's theorem in the plane      19
Half Space problems      169 266 305
Harmonic functions      232 248 348 350
Heat conduction      319
Heat flux vector      319
Helmholtz representation theorem      347
Holomorphic functions      247
Homogeneous materials      71
Hooke's law      71 73 439 440
Hyperelastic materials      107
Incompressibility      76
Index notation      4
Indirect tension test      185
Induced mappings      308
Infinite space problems      265 304 351
Infinitesimal (small) deformations      28 31
Inner product      5
Integral transform methods      97
Internal energy      320
Interpolation functions      417
Invariants of a tensor      12
Inverse solution method      94 139
Irrotational vector field      347
Isochromatic fringe patterns      179 188 197 198
Isotropic materials      71
Isotropic tensors      9 73
Kelvin problem      111 351 367 377
Kolosov — Muskhelishvili potentials      254 257
Kronecker delta      6
Lagrange interpolation functions      417
Lagrangian description      28
Lame's constant      73 77
Lame's strain potential      348
Lamellar vector field      347
Laplace equation      96 131 208 248
Laplacian operation      17 22
Laurent series      249
Legendre differential equation      359
Legendre functions and polynomials      359
Length scales      371 392 394 403
Line integrals      18 248
Line of dilatation      384 410
Loading vector in finite element theory      420
Local coordinates      422
Love strain potential      351
Maclaurin series      249
Material symmetry      72 283
Material symmetry group      285
MATLAB      445
Matrix notation      3
Matrix products      16
Maximum shear stress      57 65 177 188 197
Maxwell stress function      347 364
Membrane analogy      211
Michell solution      157
Micro-polar stress theory      50 371 388
Micromechanics      371
Modulus of elasticity      74 77
Mohr's circle      57
Monoclinic materials      286
Morera stress function      347 364
Multiply connected regions      40 250
Multivaluedness      41 47 250 373
Navier equations, anti-plane strain case      131
Navier equations, general equations      90 440 441
Navier equations, plane strain case      125
Navier equations, plane stress case      128
Neumann principle      283
Nodal displacements      418
Nodal forces      420 421
Nodal points      414 417
Nonhomogeneous materials      72 100 137
Octahedral plane      65
Octahedral stress      65
Odd functions      128 154
Orthogonality conditions      9 286
Orthotropic materials      287 292
Papkovich — Neuber solution      347 354 376
Permutation symbol      6
Photoelastic results, contact loadings      178
Photoelastic results, crack problem      197
Photoelastic results, disk under compression      188
Photoelastic results, granular media      198
Physical components      21
Piola — Kirchhoff stress      53
Plane strain      123 299
Plane stress      126 299
Poisson equation      205
Poisson's ratio      74 77
Polar coordinate formulation, isothermal      133
Polar coordinate formulation, thermoelastic      329
Polar coordinates      23
Polynomial solutions      139
Poroelasticity      372
Positive definite strain energy form      106 291
Potential theory      209 325 376
Power series method for Airy function      96 139
Prandtl stress function      205
Pressure      76
Principal value problem, principal directions      12
Principal value problem, principal values      12
Proportional limit      70
Quadratic form of strain energy      106
Rayleigh — Ritz method      97 118
Reference temperature      320
Reissner's principle      117 120
Residues      250
Restrictions on elastic moduli      291
Rigid body motion      27 30 33
Rosette strain gage      44
Rotating disk problem      189 199
Rotation tensor      29
Saint — Venant compatibility equations      38
Saint — Venant theory for deformation of cylinders, bending / flexure      201 229
Saint — Venant theory for deformation of cylinders, extension      201 202
Saint — Venant theory for deformation of cylinders, torsion      201 203
Saint — Venant's principle      92 141 201
Scalar notation      3
Scale factors      20
Self-equilibrated forms      363
Semi-inverse solution method      95 201
Shear center      233
shear modulus      73 77
Shear strains      31
Simply-connected regions      40 248
Single-valued displacements      37
Singular stress states      376
Singularities, branch points and cuts      250
Singularities, general definition      247
Singularities, poles      249
Solenoidal vector field      348
Somigliana's identity      111 430
Specific heat capacity      320
spherical      43 438
Spherical cavity      360
Spherical coordinate solutions      343 358
Spherical coordinates      20
Spherical harmonics      359
Spherical strains      36
Stationary potential energy      114
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