The present paper details an elasto-viscoplastic constitutive model for automotive brake discs made of flake graphite cast iron. In a companion paper, the authors proposed a one-dimensional setting appropriate for representing the complex behavior of the material (i.e. asymmetry between tensile and compres-sive loadings) under anisothermal conditions. The generalization of this 1D model to 3D cases on a volume element and the associated challenges are addressed. A direct transposition is not possible and an alternative solution without unilateral conditions is first proposed. Induced anisotropic damage and associated consti-tutive laws are then introduced. The transition from the volume element to the real structure and the numerical implementation requires a specific basis change. Brake disc simulations with this constitutive model show that unilateral conditions are needed for the friction bands. A damage deactivation procedure is therefore defined.