Theory of Elastic Wave Propagation and its Application to Scattering Problems
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Product details:
- Edition number 1
- Publisher CRC Press
- Date of Publication 24 April 2024
- ISBN 9781032170770
- Binding Hardback
- No. of pages284 pages
- Size 234x156 mm
- Weight 453 g
- Language English
- Illustrations 80 Illustrations, black & white; 80 Line drawings, black & white; 9 Tables, black & white 606
Categories
Short description:
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.
MoreLong description:
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.
MoreTable of Contents:
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.
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