A Constitutive Model of Pseudo-Hyperelasticity for Description of Rubber-Like Materials

Abstract

A consistent thermomechanical model applicable to pseudo-elastic behaviour of rubber-like materials has been proposed. The model is based on the Naumann and Ihlemann’s approach [1] and the concept of material stiffening given by Ogden and Roxburg [2,3]. The constitutive relationships of psedo-hyperelasticity are derived for incompressible isotropic materials. Futhermore, a specific model describing the Mullins effect was proposed. The homogeneous deformations are discussed and the obtained results are compared with Mullins’ and Tobin’s [4] experimental data. Good correlation between theoretical and experimental data has been observed.