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Section 8
Modelling of Swelling Phenomena in Charged Hydrated Porous Media
Article first published online: 1 DEC 2004
DOI: 10.1002/pamm.200410129
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1617-7061/asset/cover.gif?v=1&s=79b6ccfe3470758033c99b476335ce58b5a38819 "PAMM")
Additional Information
How to Cite
Acartürk, A., Ehlers, W. and Abbas, I. (2004), Modelling of Swelling Phenomena in Charged Hydrated Porous Media. Proc. Appl. Math. Mech., 4: 296–297. doi: 10.1002/pamm.200410129
Publication History
- Issue published online: 1 DEC 2004
- Article first published online: 1 DEC 2004
- Abstract
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Abstract
Biological tissues like articular cartilage and geomaterials like clay have a multicomponent microstructure. The charged solid is saturated by a viscous fluid, which itself is composed of several components: the liquid solvent and the dissolved ions, namely, water, anions and cations. These charged multiphase materials exhibit a swelling behaviour under varying chemical conditions.
The model describing such materials combines electrochemical and mechanical effects like osmosis and electrostatics within a macroscopic formulation. Starting from the Theory of Porous Media (TPM), a four component model is presented, wherein all constituents are materially incompressible and mass exchanges are excluded. This isothermal model leads to a set of equations which consists of three primary variables: the solid displacement uS, the pore-pressure p and the molar ion concentration cm, since the ion concentrations always depend on each other because of the electroneutrality condition.
For the numerical treatment, the weak formulations of governing equations are implemented in the FE tool PANDAS, wherein Taylor-Hood elements are used for the spatial discretization. Finally, a simulation of a 3-d swelling experiment is shown. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)