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One-dimensional transient wave propagation in fluid-saturated incompressible porous media

Eindimensionale transiente Wellenfortpflanzung in flüssigkeitsgefüllten inkompressiblen porösen Medien

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Summary

In this investigation, the general formalism for the field equations governing the dynamic response of fluid-saturated porous media is analyzed and employed for the study of transient wave motion. The two constituents are assumed to be incompressible. A one-dimensional analytical solution is derived by means of Laplace transform technique which, as a result of the incompressibility constraint, exhibits only one independent dilatational wave propagating in the solid and the fluid phases, respectively. The fluid-saturated porous material is supplied with characteristics similar to those occuring in viscoelastic solids. This work can provide the further understanding of the characteristics of wave propagation in porous materials and may be taken for a quantitative comparision to various numerical solutions.

Übersich

In dieser Arbeit wird der allgemeine Formalismus für die Feldgleichungen, die das dynamische Verhalten der fluidsaturierten Medien bestimmen, analysiert und für die Untersuchung der transienten Wellenbewegung ausgewertet. Es wird angenommen, daß beide Konstituierenden inkompressibel sind. Mit Hilfe der Laplacetransformation wird eine eindimensionale analytische Lösung abgeleitet, die als ein Resultat der Inkompressibilitätsbedingung nur eine unabhängige dilatante Wellenfortplanzung zeigt. Das fluidsaturierte poröse Material ist mit Charakteristiken versehen, die denen viskoelastischer Festkörper ähnlich sind. Diese Arbeit soll das weitere Verstehen der charakteristischen Eigenschaften der Wellenfortpflanzung in porösen Materialien erleichtern. Die Ergebnisse können zum quantitativen Vergleich mit verschiedenen numerischen Lösungen verwendet werden.

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Authors and Affiliations

  1. Institut für Mechanik Fachbereich Bauwesen, Universität Essen, Postfach 103764, D-4300, Essen 1, Federal Republic of Germany

    Reint de Boer

  2. Fachbereich Mechanik, Th Darmstadt, Hochschulstraße 1, D-6100, Darmstadt, Federal Republic of Germany

    Wolfgang Ehlers

  3. Lab. of constitutive relations for engineering materials, Department of engineering mechanics, Chongqing University, 630044, Chonqing, P. R. China

    Zhangfang Liu

Authors
  1. Reint de Boer
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  2. Wolfgang Ehlers
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  3. Zhangfang Liu
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de Boer, R., Ehlers, W. & Liu, Z. One-dimensional transient wave propagation in fluid-saturated incompressible porous media. Arch. Appl. Mech. 63, 59–72 (1993). https://doi.org/10.1007/BF00787910

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  • DOI: https://doi.org/10.1007/BF00787910

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