| Volume 2, Number 4, 2012, Pages 363-379 DOI：10.11948/2012027 |
| Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity |
| Rolci Cipolatti,I-Shih Liu,Mauro A. Rincon |
| Keywords:Linearized constitutive equations |
| Abstract: |
| For calculating large deformations of solid bodies, we have proposed a method of successive linear approximation, by considering the relative Lagrangian formulation. In this article we briefly describe this method, which is applied for nearly incompressible Mooney-Rivlin materials. We prove the existence and uniqueness of weak solutions for associated boundary value problems that arise in each step of the method. In our analysis we consider also a non-standard case, where the coefficients present in the constitutive function of Mooney-Rivlin materials do not satisfy the usual E-inequalities. |
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