Strain assisted diffusion: Modeling and simulation of deformation-dependent diffusion in composite media

In this work, we develop a model for strongly-coupled, deformation-dependent diffusion in composite media at finite strains. The coupling incorporates the effects of deformation into the diffusivity tensor. A time-transient, three-dimensional variational formulation is developed and then discretized using the Finite Element Method in conjunction with an implicit staggering scheme to resolve the coupled multiphysics. Numerical examples are provided to illustrate the model.