Anisotropic modeling of the Mullins effect and the residual strain of filled silicone rubber

Most of the existent model do not treat simultaneously this non linear effects. The constitutive equation developed here, proposes a simple model to take into account Mullins effect, permanent set and induced anisotropy for rubber like materials. Few models proposed in literature to take into account the Mullins effect, the permanent set and the induced anisotropy of a material is the model of Diani et al. (2006); Merckel et al. (2012, 2013).