Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity
Analysis of PDEs
2011-07-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1107.2705,
title = {Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity},
author = {Rolci Cipolatti and I-Shih Liu and Mauro A. Rincon},
journal= {arXiv preprint arXiv:1107.2705},
year = {2011}
}
Comments
Plain TeX, 16 pages and 1 figure