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Small motions superposed on large static deformations in porous media

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Summary

This paper is concerned with the development of the field equations and constitutive equations for small motions superposed on large static deformation of a liquid-filled porous elastic solid, using the basic theory of interacting continua given in [3]. Two examples of parallel flow in a medium which initially is subjected to a homogeneous deformation are discussed. Also a representation for the solutions of the equations of the infinitesimal theory (analogous to theBoussinesq-Papkovich representation) is deduced for a class of steady flow.

Zusammenfassung

Die Feld- und Materialgleichungen für ein flüssigkeitsgefülltes, poröses elastisches Medium werden unter der Voraussetzung kleiner Bewegungen, die großen statischen Deformationen überlagert sind, hergeleitet. Hierbei wird die in [3] entwickelte Theorie benützt. Zwei Beispiele einer Parallelströmung in einem anfangs einer homogenen Deformation unterworfenen Medium werden diskutiert. Desgleichen wird für eine Klasse stationärer Strömungen eine Darstellung der Lösungen der infinitesimalen Theorie (analog derBoussinesq-Papkovich-Darstellung) hergeleitet.

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References

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Authors and Affiliations

  1. University of Louvain, Louvain, Belgium

    M. J. Crochet

  2. Division of Applied Mechanics, University of California, 94720, Berkeley, California, USA

    P. M. Naghdi

Authors
  1. M. J. Crochet
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  2. P. M. Naghdi
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Crochet, M.J., Naghdi, P.M. Small motions superposed on large static deformations in porous media. Acta Mechanica 4, 315–335 (1967). https://doi.org/10.1007/BF01591575

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  • DOI: https://doi.org/10.1007/BF01591575

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