Includes bibliographical references and indexes.

The primary objective of this book is to give the reader a basic understanding of waves and their propagation in a linear elastic continuum. The studies of elastodynamic theory and its application to fundamental value problems should prepare the reader to tackle many physical problems of general interest in engineering and geophysics, and of particular interest in mechanics and seismology.

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Front Cover; The Theory of Elastic Waves and Waveguides; Copyright Page; Dedication; Preface; Table of Contents; Introduction; Purpose of the book; The early history of the subject; Modern work and reading; Contents of present book; Other books on elastic waves and related subjects; References; Chapter 1. Introduction to linear elastodynamics; 1.1. Introduction; Description of deformation and motion; 1.2. Tensor notation; 1.3. Analysis of stress; 1.4. Analysis of strain; 1.5. Stress-strain relations; 1.6. Dynamic equilibrium; stress equations of motion; 1.7. Displacement equations of motion.

1.8. The fundamental boundary-initial value problems of elastodynamics1.9. The superposition principle; 1.10. The principle of conservation of energy; 1.11. Uniqueness of solution; 1.12. Further contributions on the uniqueness of solutions; 1.13. The Graffi elastodynamic reciprocal theorem; 1.14. Exercises; References; Chapter 2. The fundamental waves of elastodynamics and their representations; 2.1. Introduction; 2.2. Fundamental body waves and governing wave equations; 2.3. Types of body waves and governing equations; 2.4. Body wave generation of waves peculiar to boundaries.

2.5. Time harmonic body waves2.6. Propagation of surfaces of discontinuity; 2.7. Wave motion due to body forces; 2.8. Solution of boundary-initial value problems; integral representations; 2.9. Initial value or Cauchy problems; 2.10. Exercises; References; Chapter 3. Reflection and refraction of time harmonic waves at an interface; 3.1. Reflection of P and SV waves of plane strain from the boundary of an elastic half space; 3.2. Reflection of SH waves from the boundary of an elastic half space; 3.3. Reflection and refraction of P and SV waves at an interface.

3.4. Reflection and refraction of SH waves at an interface3.5. Exercises; References; Chapter 4. Time harmonic waves in elastic waveguides; 4.1. Waves in an infinite plate in plane strain; 4.2. SH waves in an infinite plate; 4.3. Love waves; 4.4. Waves in an infinite elastic rod of circular cross section; 4.5. Waves in circular cylindrical shells and layered media; literature; 4.6. Exercises; References; Chapter 5. Integral transforms, related asymptotics, and introductory applications; 5.1. Introduction; 5.2. Fourier integral theorem; 5.3. Laplace transform.

5.4. Further properties of the Laplace transform and its inverse5.5. Bilateral Laplace transform; 5.6. Exponential Fourier transforms; 5.7. Fourier sine and cosine transforms; 5.8. Hankel transforms and properties; 5.9. Asymptotic expansions; 5.10. Asymptotic expansions of integrals; 5.11. Cavity source problems; 5.12. Exercises; References; Chapter 6. Transient waves in an elastic half space; 6.1. Introduction; 6.2. Plane strain problems; 6.3. Axially symmetric problems; 6.4. A nonaxisymmetric problem; the suddenly applied normal point load that travels on the surface; 6.5. Exercises.

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