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Methods of the Classical Theory of Elastodynamics

  • Book
  • © 1993

Overview

Authors:
  1. Vladimir B. Poruchikov

    1. Institute of Mechanics, Moscow State University, Moscow, Russia

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • Vladimir B. Poruchikov
    Pages 1-3

  3. Formulation of Elastodynamic Problems. Some General Results

    • Vladimir B. Poruchikov
    Pages 4-42

  4. The Method of Functionally Invariant Solutions (the Smirnov-Sobolev Method)

    • Vladimir B. Poruchikov
    Pages 43-136

  5. Integral Transforms in Elastodynamics

    • Vladimir B. Poruchikov
    Pages 137-189

  6. Solution to Three-Dimensional Elastodynamic Problems with Mixed Boundary Conditions for Wedge-Shaped Domains

    • Vladimir B. Poruchikov
    Pages 190-219

  7. Wiener-Hopf Method in Elastodynamics

    • Vladimir B. Poruchikov
    Pages 220-255

  8. Homogeneous Solutions to Dynamic Problems for Anisotropic Elastic Media (Willis’ Method)

    • Vladimir B. Poruchikov
    Pages 256-307

  9. Back Matter

    Pages 309-319
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Keywords

About this book

"Methods of the Classical Theory of Elastodynamics" deals not only with classical methods as developed in the past decades, but presents also very recent approaches. Applications and solutions to specific problems serve to illustrate the theoretical presentation. Keywords: Smirnov-Sobolev method with further developments; integral transforms; Wiener-Hopf technique; mixed boundary-value problems; time-dependent boundaries; solutions for unisotropic media (Willis method); 3-d dynamical problems for mixed boundary conditions.

Authors and Affiliations

  • Institute of Mechanics, Moscow State University, Moscow, Russia

    Vladimir B. Poruchikov

Bibliographic Information

  • Book Title: Methods of the Classical Theory of Elastodynamics

  • Authors: Vladimir B. Poruchikov

  • DOI: https://doi.org/10.1007/978-3-642-77099-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-642-77101-9Published: 16 December 2011

  • eBook ISBN: 978-3-642-77099-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 319

  • Topics: Classical Mechanics, Condensed Matter Physics

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