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Archive of Applied Mechanics

, Volume 69, Issue 2, pp 121–132 | Cite as

An axisymmetric steady-state flow through a poroelastic medium under large deformations

  • B. Albers
  • K. Wilmanski
Article

Summary

We present an example of the solution of a boundary value problem for a two-component porous material with large deformation of the skeleton. This example demonstrates the application of a consistent lagrangian description of porous materials which has been proposed earlier. Simultaneously, we demonstrate the important role of the balance equation of porosity which is an essential part of the thermodynamical model of porous materials proposed earlier. We show as well that a modified set of boundary conditions for permeable boundaries yields a solution of field equations which agrees qualitatively with expectations for the problem of axisymmetric stationary filtration. On the basis of a numerical evaluation of solution we indicate the existence of an instability of the model for very large porosities which could not be explained in this work.

Key words large deformations porous material diffusion change of porosity filtration perturbation method 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • B. Albers
    • 1
  • K. Wilmanski
    • 1
  1. 1.Weierstrass Institute for Applied Analysis and Stochastics Mohrenstr. 39, D-10117 Berlin, GermanyDE

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