A model of incompressible isotropic hyperelastic material behavior using spline interpolations of tension-compression test data

• Published in: Communications in numerical methods in engineering Vol. 25; no. 1; pp. 53 - 63
• Main Authors: Sussman, Theodore, Bathe, Klaus-Jürgen
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 01.01.2009; Wiley
• Subjects: Applied sciences; Computational techniques; Elastomers; Exact sciences and technology; finite element analysis; Fundamental areas of phenomenology (including applications); hyperelasticity; incompressible materials; Industrial polymers. Preparations; material modeling; Mathematical methods in physics; Physics; Polymer industry, paints, wood; rubber-like materials; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Technology of polymers; High strain; rubber-like materials; Logarithmic function; Strain energy; Uniaxial tension stress; Data compression; Incompressible material; finite element analysis; Compression test; Modeling; Tension test; Spline approximation; Hyperelasticity; Finite element method; Uniaxial compression; incompressible materials; Model matching; material modeling; Rubber
• ISSN: 1069-8299; 1099-0887
• DOI: 10.1002/cnm.1105

We present a model of incompressible isotropic hyperelastic material behavior based on a strain energy description separable in terms of logarithmic strains and piecewise spline interpolations of uniaxial tension–compression test data. Valuable attributes are that no fitting of model constants is carried out and the model replicates even physically complicated test data very accurately for small and large strains and for tension and compression. The model is well suited for use in finite element analysis. Copyright © 2008 John Wiley & Sons, Ltd.