Theory of Elastic Wave Propagation and its Application to Scattering Problems

ISBN-13: 9781032170770 / Twarda / 2024 / 296 str.

Japan) Touhei Terumi (Tokyo University of Science

Opis

Elastic wave propagation applies widely across engineering. This presents continuum mechanics, stress and strain tensors, and the derivation of equations for elastic wave motions with Green’s function. The MUSIC algorithm is used to address inverse scattering problems, and the companion website provides software with detailed solutions.

Spis treści

1. Introduction.  2. Basic properties of solution for elastic wave equation and representation theorem.  3. Elastic wave propagation in 3D elastic half-space.  4. Analysis of scattering problems by means of Green's functions.  Appendix A. Tensor algebra for continuum mechanics.  Appendix B. Fourier transform, Fourier-Hankel transform, and Dirac delta function.  Appendix C. Green's function in the wavenumber domain.  Appendix D. Comparison of Green's function obtained using various computational methods.  Appendix E. Music algorithm for detecting location of point-like scatters.  Answers.  References. 

O autorze

Terumi Touhei is a Professor at the Tokyo University of Science, with extensive experience of teaching graduate students.