Yes, keep the discussion open until you have a model converged to the final state. I did not mean to imply that the model I attached would solve to the final state, only to demonstrate how to slice up the body to create good quality meshes that have several elements through the thickness of the wall. Please reply if you get stuck.
Hyperelastic material models undergoing large deformations often do better if the solid elements have been set to use Reduced Integration.