Abstract

Biological tissues are multiphasic and multiconstituent materials, in which interstitial fluid and other extracellular matrix components move relative each other and interact mechanically, chemically and electrically. In this contribution a thermomechanical model of porous biological tissues is proposed. The tissue is modeled as a composite made of a compressible, porous solid saturated with a compressible fluid. The kinematics of the porous tissue is described by a single velocity field and the diffusion of fluid through the tissue is modeled by Darcy-type flow. An Eulerian formulation of the constitutive equations is used and a numerical example showcases the capability of the model in representing the case of a tissue sample undergoing a confined compression test.

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