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Nonlinear Waves in Solids

  • Book
  • © 1994

Overview

Editors:
  1. A. Jeffrey

    1. University of Newcastle Upon Tyne, UK

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  2. J. Engelbrecht

    1. Estonian Academy of Sciences, Estonia

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 341)

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Table of contents (6 chapters)

  1. Front Matter

    Pages ii-vii
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  2. Exact and Asymptotic Methods in Nonlinear Wave Theory

    • A. Jeffrey
    Pages 1-50

  3. Nonlinear Wave Motion and Evolution Equations

    • J. Engelbrecht
    Pages 51-107

  4. Physical and Mathematical Models of Nonlinear Waves in Solids

    • G. A. Maugin
    Pages 109-233

  5. Evolution Equations and Reduction Approaches for Nonlinear Waves in Solids

    • D. Fusco
    Pages 235-287

  6. Nonlinear Surface Acoustic Waves and Waves on Stratified Media

    • D. F. Parker
    Pages 289-347

  7. Nonlinear Strain Waves in Elastic Waveguides

    • A. M. Samsonov
    Pages 349-382
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Keywords

About this book

Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.

Editors and Affiliations

  • University of Newcastle Upon Tyne, UK

    A. Jeffrey

  • Estonian Academy of Sciences, Estonia

    J. Engelbrecht

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