Preface | p. xi |
Basic Equations of Anisotropic Elasticity | p. 1 |
Transformation of Strains and Stresses | p. 1 |
Basic Equations | p. 4 |
Geometric equations | p. 4 |
Equations of motion | p. 7 |
Constitutive equations | p. 8 |
Boundary and Initial Conditions | p. 23 |
Boundary conditions | p. 23 |
Initial conditions | p. 24 |
Thermoelasticity | p. 25 |
General Solution For Transversely Isotropic Problems | p. 29 |
Governing Equations | p. 29 |
Methods of solution | p. 29 |
Governing equations for the displacement method | p. 30 |
Equations for a mixed method - the state-space method | p. 33 |
Displacement Method | p. 38 |
General solution in Cartesian coordinates | p. 38 |
General solution in cylindrical coordinates | p. 51 |
Stress Method for Axisymmetric Problems | p. 54 |
Displacement Method for Spherically Isotropic Bodies | p. 62 |
General solution | p. 62 |
Relationship between transversely isotropic and spherically isotropic solutions | p. 67 |
Problems For Infinite Solids | p. 71 |
The Unified Point Force Solution | p. 71 |
A point force perpendicular to the isotropic plane | p. 71 |
A point force within the isotropic plan | p. 75 |
The Point Force Solution for an Infinite Solid Composed of two Half-Spaces | p. 79 |
A point force perpendicular to the isotropic plane | p. 80 |
A point force within the isotropic plane | p. 85 |
Some remarks | p. 93 |
An Infinite Transversely Isotropic Space with an Inclusion | p. 93 |
Spherically Isotropic Materials | p. 99 |
An infinite space subjected to a point force | p. 99 |
Stress concentration near a spherical cavity | p. 101 |
Half-Space And Layered Media | p. 107 |
Unified Solution for a Half-Space Subjected to a Surface Point Force | p. 107 |
A point force normal to the half-space surface | p. 108 |
A point force tangential to the half-space surface | p. 112 |
A Half-Space Subjected to an Interior Point Force | p. 118 |
A point force normal to the half-space surface | p. 119 |
A point force tangential to the half-space surface | p. 121 |
General Solution by Fourier Transform | p. 123 |
Point Force Solution of an Elastic Layer | p. 133 |
Layered Elastic Media | p. 141 |
Equilibrium of Bodies of Revolution | p. 147 |
Some Harmonic Functions | p. 147 |
Harmonic polynomials | p. 147 |
Harmonic functions containing ln(r/r) | p. 147 |
Harmonic functions containing R | p. 148 |
AnAnnular (Circular) Plate Subjected to Axial Tension and Radial Compression | p. 148 |
An Annular (Circular) Plate Subjected to Pure Bending | p. 150 |
A Simply-Supported Annular (Circular) Plat Under Uniform Transverse Loading | p. 152 |
A Uniformly Rotating Annular (Circular) Plate | p. 154 |
Transversely Isotropic Cones | p. 158 |
Compression of a cone under an axial force | p. 158 |
Bending of a cone under a transverse force | p. 162 |
Spherically Isotropic Cones | p. 165 |
Equilibrium and boundary conditions | p. 165 |
A cone under tip forces | p. 168 |
A cone under concentrated moments at its apex | p. 173 |
Conical shells | p. 176 |
Thermal Stresses | p. 183 |
Transversely Isotropic Materials | p. 183 |
A Different General Solution for Transversely Isotropic Thermoelasticity | p. 189 |
General solution for dynamic problems | p. 189 |
General solution for static problems | p. 192 |
Spherically Isotropic Materials | p. 199 |
Frictional Contact | p. 205 |
Two Elastic Bodies in Contact | p. 205 |
Mathematical description of a contact system | p. 205 |
Deformation of transversely isotropic bodies under frictionless contact | p. 208 |
A half-space under point forces | p. 214 |
Contact of a Sphere with a Half-Space | p. 217 |
Contact with normal loading | p. 217 |
Contact with tangential loading | p. 222 |
Contact of a Cylindrical Punch with a Half-Space | p. 224 |
Contact with normal loading | p. 225 |
Contact with tangential loading | p. 228 |
Indentation by a Cone | p. 230 |
Contact with normal loading | p. 231 |
Contact with tangential loading | p. 233 |
Inclined Contact of a Cylindrical Punch with a Half-Space | p. 236 |
Contact with normal loading | p. 237 |
Contact with tangential loading | p. 238 |
Discussions on Solutions for Frictional Contact | p. 241 |
Bending, Vibration and Stability of Plates | p. 247 |
General Solution Method | p. 247 |
Rectangular plates | p. 247 |
Circular plates | p. 257 |
The State-Space Method for Laminated Plates | p. 266 |
Larqinated rectangular plates | p. 266 |
Laminated circular plates | p. 275 |
Vibrations of Cylinders and Cylindrical Shells of transversely Isotropic Materials | p. 283 |
Three Simple Modes of Vibration | p. 283 |
Axisymmetric torsional vibration | p. 285 |
Breathing mode vibration | p. 292 |
Thickness-shear vibration | p. 296 |
Asymmetric Vibration | p. 301 |
Vibration of a Layered Cylindrical Shell | p. 310 |
State-space formulations | p. 310 |
Layerwise method and state vector solution | p. 313 |
Free vibration analysis and numerical results | p. 314 |
Vibration of a Cylindrical Shell Coupled with Fluid | p. 316 |
Coupling effect of fluid | p. 316 |
Free vibration of submerged and/or fluid-filled cylinders and cylindrical shells | p. 318 |
Numerical results of a fluid-filled cylindrical shell | p. 319 |
Vibration of a Cylindrical Shell Coupled with the Surrounding Elastic Medium | p. 321 |
Elastic waves in an isotropic elastic medium | p. 321 |
Displacements and stresses in the shell | p. 324 |
Vibration of the shell | p. 325 |
Spherical Shells of Spherically Isotropic Materials | p. 327 |
Free Vibration | p. 327 |
Basic equations and solution | p. 327 |
Free vibration analysis | p. 331 |
Frequency Equations and Numerical Results | p. 334 |
Frequency equations of a single-layered hollow sphere | p. 334 |
Some special cases | p. 336 |
An example | p. 338 |
Vibration Coupled with Fluid | p. 345 |
Effect of fluid | p. 345 |
Frequency equations | p. 348 |
Numerical results | p. 350 |
Vibration Coupled with the Surrounding Elastic Medium | p. 356 |
Pasternak model of elastic foundation | p. 357 |
Frequency equations | p. 360 |
Numerical results | p. 361 |
Laminated Spherical Shells | p. 364 |
State-space formulations for spherically isotropic elasticity | p. 364 |
Layerwise method and state vector solution | p. 367 |
Frequency equations | p. 369 |
Numerical results | p. 371 |
Additional Notes And Bibliography To Chapters 373 | |
Special Functions | p. 387 |
Nomenclature | p. 397 |
References | p. 405 |
Index | p. 431 |
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