ION-INDUCED DEFORMATION OF ARTICULAR CARTILAGE WITH STRAIN-DEPENDENT NONLINEAR PERMEABILITY AND MHD EFFECTS

The aim of the present work is to examine the effects of applied magnetic field and strain-dependent nonlinear permeability on the deformation of articular cartilage equilibrated in a sodium chloride solution. A thin rectangular specimen of bovine cartilage is considered that is assumed to be an isotropic and linearly elastic solid. A biphasic mixture theory approach has been employed to model the nonlinear deformable porous medium in the presence of a change in the ion concentration of the bathing solution. Analytical and numerical solutions for the solid displacement and fluid pressure profiles are presented highlighting effects of various emerging parameters along with a discussion on the ion concentration distribution in the tissue.