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Elastic waves : high frequency theory

Author: V M Babich; Aleksei P Kiselev
Publisher: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2018]
Series: Monographs and research notes in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"This book is concerned with mathematical aspects of theory of high-frequency elastic waves, which is also known as 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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Babich, V.M.
Elastic waves.
Boca Raton, FL : CRC Press, Taylor & Francis Group, [2018]
(DLC) 2018006901
(OCoLC)1029061011
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V M Babich; Aleksei P Kiselev
ISBN: 9781315314747 1315314746 9781315314761 1315314762 9781315314754 1315314754 9781315314754
OCLC Number: 1032375528
Description: 1 online resource (xix, 285 pages).
Contents: Basic notions of elastodynamics --
Plane waves --
Point sources and spherical waves in homogeneous isotropic media --
The ray method for volume waves in isotropic media --
The ray method for volume waves in anisotropic media --
Point sources in inhomogeneous isotropic media; the wave S from a center of expansion; the wave P from a center of rotation --
The "nongeometrical" wave S* --
The ray method for Rayleigh waves.
Series Title: Monographs and research notes in mathematics.
Responsibility: Vassily M. Babich, Aleksei P. Kiselev ; translated from Russian by Irina A. So.

Abstract:

"This book is concerned with mathematical aspects of theory of high-frequency elastic waves, which is also known as 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. 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."--Provided by publisher.

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