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Elastodynamics. Volume II, Linear theory /
Elastodynamics, Volume II: Linear Theory is a continuation of Volume I and discusses the dynamical theory of linear isotropic elasticity. The volume deals with the fundamental theorems regarding elastodynamics and the different mathematical methods of solution and their employment in one, two, and t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York ; London :
Academic Press,
1975.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Linear Theory; Copyright Page; Table of Contents; Preface; Acknowledgments; Contents of Volume I; Chapter V. Fundamentals of Linear Elastodynamics; 5.1 Scope of the Chapter; 5.2 Resume of Basic Equations of Linear Elasticity; 5.3 Displacement Formulation of Elastodynamics; 5.4 Displacement Potentials; 5.5 Stress Formulation of Elastodynamics; 5.6 Convoluted Forms of the Field Equations; 5.7 Uniqueness Theorem of Elastodynamics; 5.8 Reciprocal Theorem; 5.9 Some Properties of the Wave Equation; 5.10 Fundamental Singular Solution of Elastodynamics.
- 5.11 Integral Representation Theorems5.12 Two-Dimensional Representation Theorem; 5.13 Radiation Conditions; 5.14 Integral Equation Formulation of Boundary-Value Problems; 5.15 Green's Functions of Elastodynamic States; 5.16 Reduced Elastodynamic Equations; 5.17 Solution of Elastodynamic Equations by Eigenfunction Expansions; 5.18 Variational Principles for Linear Elastodynamics; Chapter VI. One-Dimensional Motions; 6.1 Scope of the Chapter; 6.2 One-Dimensional Elastodynamic Equations; 6.3 D'Alembert Solution; 6.4 Propagation of Longitudinal Waves in Half-Space.
- 6.5 Initial-Value Problem for a Finite Strip6.6 Finite Strip Fixed at One End and Subject to Dynamical Tractions at the Other; 6.7 Propagation of Spherical Waves; 6.8 Spherical Cavity Subject to Dynamical Pressure; 6.9 Eigenfunctions for Spherical Domains; 6.10 Propagation of Cylindrical Waves; 6.11 Cylindrical Cavity Subject to Dynamical Pressure; 6.12 Eigenfunctions for Cylindrical Domains; 6.13 Initial-Value Problem for Cylindrical Waves; Chapter VII Two-Dimensional Motions; 7.1 Scope of the Chapter; 7.2 Fundamental Equations; 7.3 Lame Potentials; 7.4 Propagation of Plane Harmonic Waves.
- 7.5 Plane Elastic Waves in a Half-Space with a Free Boundary7.6 Harmonic Surface Waves on a Half-Space; 7.7 Waves in Layered Media; 7.8 Dispersion and Group Velocity; 7.9 Elastic Waves in Infinite Plates; 7.10 Solutions by Complex Functions; 7.11 Moving Line Load on the Surface of a Half-Space; 7.12 Moving Grifiith Crack; 7.13 Moving Punch on a Half-Space; 7.14 Self-Similar Solutions of Plane Problems; 7.15 Similarity Solutions for the Half-Space; 7.16 Line Impulse on the Surface of a Half-Space; 7.17 Miscellaneous Stress Boundary-Value Problems in Half-Space.
- 7.18 A Dynamic Contact Problem in Half-Space7.19 Some Remarks-Other Solutions; 7.20 Integral Transform Methods; 7.21 Lamb's Problem; 7.22 Transient Solution of the Problem of Buried Pressure Line Source in Half-Space; 7.23 Impulsive Buried Line Force; 7.24 Transient Motion of a Surface Line Load; 7.25 Infinite Slab under Surface Loads; 7.26 Antiplane Motion of a Slab Subject to End Loads; 7.27 Plane-Strain Vibrations of Circular Cylinders; 7.28 Circular Cylinder Subjected to Dynamical Tractions; 7.29 Dynamic Tractions in a Circular Cavity; Chapter VIII. Three-Dimensional Solutions.