Electrokinetic and Poroelastic Coupling During Finite Deformations of Charged Porous Media

Due to microstructural interactions between the charged solid matrix and ionic interstitial fluid, hydrated biological tissues and other porous media may exhibit macroscopic coupling between solid deformation, fluid, and electrical flows. In the present manuscript, we develop a variationally motivat...

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Bibliographic Details
Published in:Journal of applied mechanics 1999-06, Vol.66 (2), p.323-334
Main Authors: Levenston, M. E, Frank, E. H, Grodzinsky, A. J
Format: Article
Language:English
Subjects:
Biological and medical sciences
Biomechanics. Biorheology
Deformation
Earth sciences
Earth, ocean, space
Elasticity
Exact sciences and technology
Finite element method
Fundamental and applied biological sciences. Psychology
Fundamental areas of phenomenology (including applications)
Geophysics: general, magnetic, electric and thermic methods and properties
Internal geophysics
Mathematical models
Physics
Porous materials
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Tissue
Tissues, organs and organisms biophysics
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Summary:Due to microstructural interactions between the charged solid matrix and ionic interstitial fluid, hydrated biological tissues and other porous media may exhibit macroscopic coupling between solid deformation, fluid, and electrical flows. In the present manuscript, we develop a variationally motivated finite deformation continuum theory for describing such coupled phenomena. The theoretical formulation combines descriptions of poroelastic and electroquasistatic subsystems along with a continuum electromechanical coupling law, and leads to a five-field finite element formulation. Several axisymmetric problems are presented as examples of mechanical-to-electrical and electrical-to-mechanical transduction phenomena in common experimental configurations.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.2791052