Characterization of Solid - Fluid Mixtures

In this work we investigate a mathematical model for the description of the mechanical behavior of soft, hydrated tissues with signiicant perfusion. We set up and derive the mathematical description and balance laws using the continuum mixture theory as the theoretical framework. The constitutive relations suitable to describe perfused soft tissue and appropriate boundary conditions are discussed. We solve illustrative steady, one and two dimensional problems of diiusion through nitely deformed slab, and develop an algorithm based on nite element method for nding approximate solution to the continuous, nonlinear, steady, two dimensional problem.