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Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element
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Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element Approach Hardcover - 2001 - 2001st Edition

by Martin Schanz


From the publisher

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.

First line

The most popular numerical method applied to engineering problems is the Finite Element Method (FEM).

From the rear cover

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.

Details

  • Title Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element Approach
  • Author Martin Schanz
  • Binding Hardcover
  • Edition number 2001st
  • Edition 2001
  • Pages 170
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2001-05-08
  • Illustrated Yes
  • Features Illustrated
  • ISBN 9783540416326 / 3540416323
  • Weight 0.96 lbs (0.44 kg)
  • Dimensions 9.21 x 6.14 x 0.5 in (23.39 x 15.60 x 1.27 cm)
  • Library of Congress Catalog Number 2001020508
  • Dewey Decimal Code 530.14
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Wave Propagation in Viscoelastic and Poroelastic Continua : A Boundary Element Approach
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Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element Approach
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Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element Approach

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Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element Approach (Lecture Notes in Applied and Computational Mechanics)

by Martin Schanz

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