A new isotropic hyperelastic strain energy function in terms of invariants and its derivation into a pseudo-elastic model for Mullins effect: application to finite element analysis
Résumé
The present paper focuses on static stiffness modelling of rubber materials for multiaxial loadings with a minimal number of material parameters in order to ensure robustness of both identification and Finite Element analysis. A physically motivated isotropic constitutive model is proposed for multiaxial large stretch rubber deformation. This model is expressed in terms of classical independent strain invariants. Only three parameters are needed to successfully represent both Treloar and Kawabata experiments (Kawabata et al. 1981) with a response equivalent to the one obtained by Ogden six parameters model (Ogden 1972). Mullins effect modelling is finally derived according to a damage mechanics approach (Chagnon et al. 2004).
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