An analytical solution of incompressible charged porous media

K. Malakpoor; E. F. Kaasschieter; J. M. Huyghe

doi:10.1002/zamm.200510269

An analytical solution of incompressible charged porous media

K. Malakpoor, E. F. Kaasschieter, J. M. Huyghe

Eindhoven University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

A one-dimensional analytical solution is derived for free swelling and consolidation of a saturated charged porous medium. The derived equations describe infinitesimal deformation of charged porous media saturated with a fluid with dissolved cations and anions. In the one-dimensional case the governing equations reduce to a coupled diffusion equations for electrochemical potentials. Suitable initial and boundary conditions based on consolidation or free swelling experiments complete the equations.

Original language	English
Pages (from-to)	667-681
Number of pages	15
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	86
Issue number	9
DOIs	https://doi.org/10.1002/zamm.200510269
Publication status	Published - Sep 2006
Externally published	Yes

Keywords

Analytical solutions
Biological tissues
Mixture theory
Porous media

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10.1002/zamm.200510269

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abstract = "A one-dimensional analytical solution is derived for free swelling and consolidation of a saturated charged porous medium. The derived equations describe infinitesimal deformation of charged porous media saturated with a fluid with dissolved cations and anions. In the one-dimensional case the governing equations reduce to a coupled diffusion equations for electrochemical potentials. Suitable initial and boundary conditions based on consolidation or free swelling experiments complete the equations.",

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AB - A one-dimensional analytical solution is derived for free swelling and consolidation of a saturated charged porous medium. The derived equations describe infinitesimal deformation of charged porous media saturated with a fluid with dissolved cations and anions. In the one-dimensional case the governing equations reduce to a coupled diffusion equations for electrochemical potentials. Suitable initial and boundary conditions based on consolidation or free swelling experiments complete the equations.

KW - Analytical solutions

KW - Biological tissues

KW - Mixture theory

KW - Porous media

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An analytical solution of incompressible charged porous media

Abstract

Keywords

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