Theory of Elastic Wave Propagation and its Application to Scattering Problems
eBook - ePub

Theory of Elastic Wave Propagation and its Application to Scattering Problems

  1. 284 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Theory of Elastic Wave Propagation and its Application to Scattering Problems

About this book

Elastic wave propagation applies to a wide variety of fields, including seismology, non-destructive testing, energy resource exploration, and site characterization. New applications for elastic waves are still being discovered. Theory of Elastic Wave Propagation and its Application to Scattering Problems starts from the standpoint of continuum mechanics, explaining stress and strain tensors in terms of mathematics and physics, and showing the derivation of equations for elastic wave motions, to give readers a stronger foundation. It emphasizes the importance of Green's function for applications of the elastic wave equation to practical engineering problems and covers elastic wave propagation in a half-space, in addition to the spectral representation of Green's function. Finally, the MUSIC algorithm is used to address inverse scattering problems.

  • Offers comprehensive coverage of fundamental concepts through to contemporary applications of elastic wave propagation
  • Bridges the gap between theoretical principles and practical engineering solutions

The book's website provides the author's software for analyzing elastic wave propagations, along with detailed answers to the problems presented, to suit graduate students across engineering and applied mathematics.

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Yes, you can access Theory of Elastic Wave Propagation and its Application to Scattering Problems by Terumi Touhei in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Civil Engineering. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Preface
  8. Acknowledgment
  9. Author
  10. Chapter 1 Introduction
  11. Chapter 2 Basic properties of solution for elastic wave equation and representation theorem
  12. Chapter 3 Elastic wave propagation in 3D elastic half-space
  13. Chapter 4 Analysis of scattering problems by means of Green's functions
  14. Appendix A Tensor algebra for continuum mechanics
  15. Appendix B Fourier transform, Fourier-Hankel transform, and Dirac delta function
  16. Appendix C Green's function in the wavenumber domain
  17. Appendix D Comparison of Green's function obtained using various computational methods
  18. Appendix E Music algorithm for detecting location of point-like scatterers
  19. Answers
  20. References
  21. Index