temperature impact on stress-strain curve for non-linear elastic materials

We need to simulate the manufacturing process. The material used is non-linear elastic (elasticity goes beyond the linear region). For this material we want to get the residual deformation on unloading. Please suggest suitable material model for simulating this process.

Also, we want to include the temperature effects- can you suggest some model which can include preferably both. If not then we can neglect temperature effects.