Thermo-Chemo-Electro-Mechanical Formulation of Saturated Charged Porous Solids

J. M. Huyghe, J. D. Janssen

Research output: Contribution to journalConference articlepeer-review

Abstract

A thermo-chemo-electro-mechanical formulation of quasi-static finite deformation of swelling incompressible porous media is derived from a mixture theory including the volume fraction concept. The model consists of an electrically charged porous solid saturated with an ionic solution. Incompressible deformation is assumed. The mixture as a whole is assumed locally electroneutral. Different constituents following different kinematic paths are defined: solid, fluid, anions, cations and neutral solutes. Balance laws are derived for each constituent and for the mixture as a whole. A Lagrangian form of the second law of thermodynamics for incompressible porous media is used to derive the constitutive restrictions of the medium. The material properties are shown to be contained in one strain energy function and a matrix of frictional tensors. A principle of reversibility results from the constitutive restrictions. Existing theories of swelling media should be evaluated with respect to this principle.

Original languageEnglish
Pages (from-to)129-141
Number of pages13
JournalTransport in Porous Media
Volume34
Issue number1-3
DOIs
Publication statusPublished - Mar 1999
Externally publishedYes
EventProceedings of the 1997 EUROMECH Colloquium 366, 'Porous Media - Theory and Experiments' - Essen, Germany
Duration: 23 Jun 199727 Jun 1997

Keywords

  • Biology
  • Hydrogel
  • Mixture theory
  • Polymer
  • Shale

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