Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity

Details Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity

2011-07-14

arxiv.org/abs/1107.2705v1

Mathematics

Analysis of PDEs

Plain TeX, 16 pages and 1 figure

Scientific paper

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.

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