Finite viscoelasticity, plasticity and damage of a class of filled elastomers: constitutive model
Résumé
A constitutive model is proposed for a class of filled elastomers exhibiting permanent strain at zero stress, in which hyper-visco-elasticity, plasticity and damage are only weakly coupled. The free energy potential is expressed as the sum of three terms: a hyperelasticity term, a positive hardening function and a negative damage function. The constitutive relations are then established by postulating a dissipation and assuming Norton-Hoff type variations of plasticity and damage. An illustrative example of the model potentialities is eventually given, concerning the Mullin's effect.