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Titlebook: Wave Propagation in Viscoelastic and Poroelastic Continua; A Boundary Element A Martin Schanz Book 2001 Springer-Verlag Berlin Heidelberg 2

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书目名称Wave Propagation in Viscoelastic and Poroelastic Continua
副标题A Boundary Element A
编辑Martin Schanz
视频video
概述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 poro
丛书名称Lecture Notes in Applied and Computational Mechanics
图书封面Titlebook: Wave Propagation in Viscoelastic and Poroelastic Continua; A Boundary Element A Martin Schanz Book 2001 Springer-Verlag Berlin Heidelberg 2
描述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 consider
出版日期Book 2001
关键词BEM; Fundament; boundary element method; boundary element methods; computational method; elasticity; mecha
版次1
doihttps://doi.org/10.1007/978-3-540-44575-3
isbn_softcover978-3-642-07490-5
isbn_ebook978-3-540-44575-3Series ISSN 1613-7736 Series E-ISSN 1860-0816
issn_series 1613-7736
copyrightSpringer-Verlag Berlin Heidelberg 2001
The information of publication is updating

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Introduction,192], Zienkiewicz et al. [191], and Diebels and Ehlers [70]. Therefore, the FEM can be used to solve wave propagation problems in viscoelastic as well as in poroelastic media, especially, in bounded domains.
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Viscoelastically supported Euler-Bernoulli beam,re and complicated time-dependent fundamental solutions, give reason to use the convolution quadrature method. Moreover, except by means of the convolution quadrature method, for the beam on a viscoelastic foundation there is no possibility to establish a formulation in time domain since no time-dependent fundamental solution is known.
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Viscoelastically supported Euler-Bernoulli beam,d viscoelastically supported Euler-Bernoulli beam will be deduced and solved with the convolution quadrature method. A direct evaluation in time domain is only possible without the viscoelastic foundation, however, the resulting time stepping procedure is not stable [67]. Also, the time-dependent fu
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