zbMATH — the first resource for mathematics

A new formulation and computation of the triphasic model for mechano-electrochemical mixtures. (English) Zbl 0946.76097
Summary: Using the generalized first law of thermodynamics for an irreversible thermodynamical system, we derive governing equations for the mixture theory based on the triphasic model for mechano-electrochemical mixtures. It is shown that, in the case of electroneutral solution, a new biphasic mixture theory including the electrochemical effects can be derived from the governing equations. We obtain chemical-expansion stress repesenting both the influences of deformation on the fixed charge density and the electric potential of fixed charge field. For comparison and verification, the numerical solution for a confined compression problem of a charged hydrated soft tissue is computed using the multiquadric method.

76T30 Three or more component flows
78A48 Composite media; random media in optics and electromagnetic theory
92C10 Biomechanics
Full Text: DOI