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arXiv · 1206.5013

Total Lagrangian Finite Element Formulation of the Flory-Rehner Free Energy Function

Mario J. Juha
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Abstract

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.

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Mario J. Juha. 2012-06-21. Total Lagrangian Finite Element Formulation of the Flory-Rehner Free Energy Function. https://arxiv.org/abs/1206.5013

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