A variationally consistent chemo-elastic theory for special Cosserat rods
We develop a variationally consistent framework for chemo-elastic special Cosserat rods that incorporates a two-way chemo-mechanical coupling to accurately model large deformations in slender rods. This two-way coupling is particularly important to model stress-assisted diffusion for various metamaterial-based battery electrodes and soft robotics applications. Using the virtual power and energy minimization approach, we first derive coupled equilibrium equations in Lagrangian formulation applicable to three-dimensional chemo-elastic solids.