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© 2001

Wave Propagation in Viscoelastic and Poroelastic Continua

A Boundary Element Approach

  • 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

Book

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

Table of contents

  1. Front Matter
    Pages I-X
  2. Martin Schanz
    Pages 1-6
  3. Martin Schanz
    Pages 7-21
  4. Martin Schanz
    Pages 39-56
  5. Martin Schanz
    Pages 105-134
  6. Martin Schanz
    Pages 135-141
  7. Back Matter
    Pages 143-170

About this book

Introduction

In this book, a numerical method to treat wave propagation problems in poroelastic and viscoelastic media is developed and evaluated. The method of choice is the Boundary Element Method (BEM) since this method implicitly fulfills the Sommerfeld radiation condition. The crucial point in any time-dependent BEM formulation finding time-dependent fundamental solutions is overcome employing the Convolution Quadrature Method. This quadrature rule makes it possible to establish a boundary element time-stepping procedure based on the known Laplace domain fundamental solutions for viscoelastic and poroelastic continua. Using this method, e.g., tremors produced by earthquakes or machines can be pre-calculated and subsequent buildings prevented from such disturbances.

Keywords

BEM Fundament boundary element method boundary element methods computational method elasticity mechanics numerical methods poroelasticity porous media soil mechanics solids vibration vibrations wave

Authors and affiliations

  1. 1.Institute of Applied MechanicsTechnical University BraunschweigBraunschweigGermany

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 Mechanics
  • DOI https://doi.org/10.1007/978-3-540-44575-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-41632-6
  • Softcover ISBN 978-3-642-07490-5
  • eBook ISBN 978-3-540-44575-3
  • Series ISSN 1613-7736
  • Series E-ISSN 1860-0816
  • Edition Number 1
  • Number of Pages X, 170
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Solid Mechanics
    Numerical Analysis
    Classical Mechanics
  • Buy this book on publisher's site
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