A Multiphase Continuum Approach for Growth and Remodeling in Anisotropic Porous Biological Materials

With respect to the fact that biological tissue is composed of several com-ponents, this contribution will present a continuum multi-phase model for the description of growth and remodeling phenomena in biological materials, see Ricken et al. [2007]. The description is based on the well known Theory of Porous Media. In the model presented here the influences of the inner transversely isotro-pic material structure, the inner porosity change, the growth and remodeling mechanisms and the intrinsic fluid and nutrient flow will all be considered. The anisotropy is well studied in the framework of the theory of invariant, while porosity, stress and strain-driven growth and remodeling mechanisms are des-cribed using a strongly coupled approach in which three phases are involved. The phases that have been accounted for are a solid matrix, a non-viscous fluid and a nutrient phase. In order to formulate thermodynamically consistent re-strictions for the constitutive modeling, an extended evaluation of the entropy inequality has been performed and included. In addition to that, and conside