We address the total Lagrangian finite element implementation of the Flory-Rehner free-energy function in the framework of a hyperelastic material model. We explicitly give all the equations required to implement this material model in an implicit nonlinear finite element analysis, particularly, we show how to derive the so-called algorithmic or consistent linearized tangent modulus in the Lagrangian description. Some analytical and numerical results for different boundary-value problems are presented to validate the implementation.
@article{arxiv.1206.5013,
title = {Total Lagrangian Finite Element Formulation of the Flory-Rehner Free Energy Function},
author = {Mario J. Juha},
journal= {arXiv preprint arXiv:1206.5013},
year = {2012}
}