Elastic Waves: High Frequency Theory

Vassily Babich, Aleksei Kiselev

April 3, 2018 by Chapman and Hall/CRC
Reference - 286 Pages - 27 B/W Illustrations
ISBN 9781138033061 - CAT# K30775
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Features

  • Employs methods of modern asymptotic analysis
  • Systematically applies the calculus of variations
  • Introduces and systematically employs the basic notion of a locally-plane wave
  • Concisely describes modern mathematical tools, which may be helpful for a reader with insufficient background
  • Presents various problems, which have not been yet published in monographs

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Summary

Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.

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