A variational formulation for coupled physicochemical flows during finite deformations of charged porous media

摘要

Polymer gels, hydrated biological tissues and other charged porous media may exhibit macroscopic coupling between solid deformations and internal fluid, chemical and electrical flows. In this manuscript, we develop a variationally motivated finite deformation-theory for describing such coupled phenomena. The formulation combines mathematical descriptions of the power balance associated with solid deformation and fluid and solute flows for an arbitrary number of solute species, and includes the macroscopic phenomenological coupling relations of nonequilibrium thermodynamics. Particular implementations of the theory are discussed for a charged,porous medium interacting with a binary electrolyte and for the addition of a third, possibly charged solute species to such a system. This theoretical framework is suitable for modeling physicochemical interactions in a large class of hydrated porous media. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 37]