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Stroh Formalism and Rayleigh Waves

  • Book
  • © 2007

Overview

Authors:
  1. Kazumi Tanuma

    1. Department of Mathematics Graduate School of Engineering, Gunma University, Kiryu, Japan

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  • Introduces a powerful and elegant mathematical method for the analysis of anisotropic elasticity equations
  • The reader can grasp the essentials as quickly as possible
  • Can be used as a textbook, which presents compactly introduction and applications of the Stroh formalism
  • Appeals to the people not only in mathematics but also in mechanics and engineering science
  • Prerequisites are only basic linear algebra, calculus and fundamentals of differential equations

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Table of contents (1 chapter)

  1. Front Matter

    Pages i-4
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  2. Stroh Formalism and Rayleigh Waves

    • Kazumi Tanuma
    Pages 5-154

  3. Back Matter

    Pages 155-159
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About this book

Roger Fosdick The Journal of Elasticity: The Physical and Mathematical Science of Solids invites expository articles from time-to-time in order to collect results in areas of research that have made significant impact on the field of solid mechanics and that show continued interest in present-day research and thinking. The Stroh formalism is one such area, especially as it impacts upon the analysis of anisotropic media, that has been generalized from linear elastostatics to cover linear theories of piezoelectro-elasticity and megneto-elasticity as well as elastic wave phenomena. In this work, Kazumi Tanuma presents the essential elements of the Stroh formalism, its major theorems with proofs and applications, in a research-level textbook form. The presentation is self-contained and the development is clear and concise. Professor Tanuma’s efforts to produce a straightforward, accurate and readable account of this subject are clearly evident. He has organized the subject with a common logical thread throughout and he has given basis for not only the importance of this area of research, but, most importantly, for understanding its meaning and significance.

Authors and Affiliations

  • Department of Mathematics Graduate School of Engineering, Gunma University, Kiryu, Japan

    Kazumi Tanuma

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