1st Edition

Theory of Elastic Wave Propagation and its Application to Scattering Problems

By Terumi Touhei Copyright 2024
284 Pages 80 B/W Illustrations
by CRC Press

284 Pages 80 B/W Illustrations
by CRC Press

284 Pages 80 B/W Illustrations
by CRC Press

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... Read more

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. 

Biography

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