Theory of Elastic Wave Propagation and its Application to Scattering Problems

Terumi Touhei (Autor)

Buch | Hardcover

264 Seiten

2024
CRC Press (Verlag)
978-1-032-17077-0 (ISBN)

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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.

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.

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

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.

Erscheinungsdatum	19.04.2024
Zusatzinfo	9 Tables, black and white; 80 Line drawings, black and white; 80 Illustrations, black and white
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	684 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Geowissenschaften ► Geophysik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
	Technik ► Umwelttechnik / Biotechnologie
ISBN-10	1-032-17077-8 / 1032170778
ISBN-13	978-1-032-17077-0 / 9781032170770
Zustand	Neuware