%0 Journal Article
%T Predicting Articular Cartilage Behavior with a Non-Linear Microstructural Model
%A Fulin Lei and Andras Z. Szeri
%J The Open Mechanics Journal
%D 2007
%I 
%R 10.2174/1874158400701010011]
%X We report here on a non-linear poroelastic model for the mechanical response of collagenous soft tissues such as articular cartilage. The tissue consists of a porous, fibril-reinforced, hyperelastic solid, saturated with an incompressible fluid, and Darcy's law governs solid-fluid interaction. The solid matrix is characterized by the isotropic hyperfoam strain energy function and its permeability is made to depend on local strain. The fibrils are non-linear, provide tensile stiffness only, exhibit viscoelasticity and have arbitrary, three-dimensional, statistical distributions. The stress tensor in the fibril network is calculated from the constitutive law for a single fibril with the aid of the fibril distribution functions. With a specific viscoelastic fibril constitutive relationship and a three-layered cartilage construction, the model is shown to predict well strain-dependent and time-dependent behavior in unconfined compression and tension and in unconfined compression and indentation, using identical sets of material parameters.
%U http://www.benthamscience.com/open/tomechj/articles/V001/11TOMECHJ.htm