A structurally frame-indifferent model for anisotropic visco-hyperelastic materials

One of the main theoretical issues in developing a theory anisotropic viscoelastic media at finite strains lies proper definition material symmetry group and its evolution with time. In this paper matter is discussed thoroughly addressed by introducing novel remodelling equation compatible principle structural frame indifference, requirement that every inelastic based on multiplicative decomposition deformation gradient must obey to. The laws dissipative process are completely determined two scalar functions, elastic strain energy dissipation densities. choice function allows us to reduce proposed model an fluid, when sufficiently slow, or hyperelastic solid for fast deformations. Finally, few prototype examples highlight role relaxation times constitutive response.