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Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element Approach (Lecture Notes in Applied and Computational Mechanics, 2) - Softcover

 
9783642074905: Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element Approach (Lecture Notes in Applied and Computational Mechanics, 2)

Synopsis

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.

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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.

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  • PublisherSpringer
  • Publication date2010
  • ISBN 10 3642074901
  • ISBN 13 9783642074905
  • BindingPaperback
  • LanguageEnglish
  • Number of pages180

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9783540416326: Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element Approach (Lecture Notes in Applied and Computational Mechanics, 2)

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 184 pp. Englisch. Seller Inventory # 9783642074905

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783642074905

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A novel numerical approach to a class of problems with high theoretical and practical interestParticularly interesting for researchers working on the boundary element method and the mechanics of porous mediaWave propagation is an important topic in . Seller Inventory # 5046558

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