Mathematical analysis of successive linear approximation for   Mooney-Rivlin material model in finite elasticity
  For calculating large deformations in finite elasticity, we have proposed a method of successive linear approximation, by considering the relative descriptional formulation. In this article we briefly describe this method and we prove the existence and uniqueness of weak solutions for boundary value problems for nearly incompressible Mooney-Rivlin materials, that arise in each step of the method. 
Rolci Cipolatti, I-Shih Liu, Mauro A. Rincon
math.AP