Shear deformation of a non-linear solid undergoing deterioration of material properties

Abstract

We study the degradation/enhancement of the response of a solid, through which a fluid is diffusing, whose material moduli depend on the concentration of the diffusant. A simplified model is used that couples the balance of linear momentum for the solid to a convection-reaction-diffusion equation for the fluid. At a fixed level of concentration, the solid responds as a Mooney-Rivlin material, the response being that of different Mooney-Rivlin material at different levels of concentration. The problem under consideration has relevance to many technological problems such as degradation in polymers due to diffusion of a fluid.