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The theory of elastic waves and waveguides /
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 int...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier North-Holland,
1984, �1978.
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| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 22. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.