An analytical solution of incompressible charged porous media

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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. © 2006 WILEY-VCH Verlag GmbH & Co. KGaA.

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Malakpoor, K., Kaasschieter, E. F., & Huyghe, J. M. (2006). An analytical solution of incompressible charged porous media. ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 86(9), 667–681. https://doi.org/10.1002/zamm.200510269

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