ABSTRACT
Under quasi-static cyclic loadings, the material behavior of filled rubber exhibits dissipative phenomena and a stress softening feature. Based on a thermodynamic approach, a constitutive model for internal sliding and friction is developed with several potentials. The thermodynamic state variables and potentials are determined by the will of modeling Mullins effect without damage and without viscoelastic variables. The non linear kinematic consolidation is responsible for the Mullins effect of stress softening. For very slow strain rates, the model leads to a non viscous hysteresis. For higher rates, viscous effects appear and the relaxations made at different stress levels during a cyclic loading end on a non viscous hysteresis loop. The evolution of internal variables derives from a non associated potential introducing both non linear isotropic and kinematic consolidation. It depends on the choice of configuration network and on the dissipation potential.
