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Wave Propagation in Viscoelastic and Poroelastic Continua

A Boundary Element Approach

  • Book
  • © 2001

Overview

Authors:
  1. Martin Schanz

    1. Institute of Applied Mechanics, Technical University Braunschweig, Braunschweig, Germany

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  • A novel numerical approach to a class of problems with high theoretical and practical interest
  • Particularly interesting for researchers working on the boundary element method and the mechanics of porous media
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 2)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Introduction

    • Martin Schanz
    Pages 1-6

  3. Convolution quadrature method

    • Martin Schanz
    Pages 7-21

  4. Viscoelastically supported Euler-Bernoulli beam

    • Martin Schanz
    Pages 23-38

  5. Time domain boundary element formulation

    • Martin Schanz
    Pages 39-56

  6. Viscoelastodynamic boundary element formulation

    • Martin Schanz
    Pages 57-76

  7. Poroelastodynamic boundary element formulation

    • Martin Schanz
    Pages 77-103

  8. Wave propagation

    • Martin Schanz
    Pages 105-134

  9. Conclusions — Applications

    • Martin Schanz
    Pages 135-141

  10. Back Matter

    Pages 143-170
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Keywords

About this book

Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec­ tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.

Authors and Affiliations

  • Institute of Applied Mechanics, Technical University Braunschweig, Braunschweig, Germany

    Martin Schanz

Bibliographic Information

  • Book Title: Wave Propagation in Viscoelastic and Poroelastic Continua

  • Book Subtitle: A Boundary Element Approach

  • Authors: Martin Schanz

  • Series Title: Lecture Notes in Applied and Computational Mechanics

  • DOI: https://doi.org/10.1007/978-3-540-44575-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2001

  • Hardcover ISBN: 978-3-540-41632-6Published: 08 May 2001

  • Softcover ISBN: 978-3-642-07490-5Published: 03 December 2010

  • eBook ISBN: 978-3-540-44575-3Published: 27 November 2012

  • Series ISSN: 1613-7736

  • Series E-ISSN: 1860-0816

  • Edition Number: 1

  • Number of Pages: X, 170

  • Topics: Solid Mechanics, Numerical Analysis, Classical Mechanics

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