An averaging based tube model for deformation induced anisotropic stress softening of filled elastomers

In this paper, a micromechanically based constitutive model capturing anisotropic stress softening in reinforced elastomers under quasi-static loading is presented. A novel spatial distribution function of polymer chains taking into account its deformation induced anisotropic alignment is proposed. By this means, the anisotropic network averaging over the unit sphere can be evaluated analytically. The anisotropic alignment of polymer chains...