Waves and Rays in Elastic Continua (3rd Edition) Hardcover - 2015 - 3rd Edition
by Michael A. Slawinski
From the jacket flap
The present book which is the third, significantly revised edition of the textbook originally published by Elsevier Science emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.
The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.
In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.
Details
- Title Waves and Rays in Elastic Continua (3rd Edition)
- Author Michael A. Slawinski
- Binding Hardcover
- Edition number 3rd
- Edition 3
- Pages 656
- Volumes 1
- Language ENG
- Publisher World Scientific Publishing Company
- Date 2015-02-16
- Features Bibliography, Index
- ISBN 9789814641753 / 9814641758
- Weight 2.38 lbs (1.08 kg)
- Dimensions 9.09 x 6.77 x 1.4 in (23.09 x 17.20 x 3.56 cm)
-
Themes
- Aspects (Academic): Science/Technology Aspects
- Library of Congress subjects Continuum mechanics, Seismic waves
- Library of Congress Catalog Number 2014038942
- Dewey Decimal Code 551.22
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