Before revision: We derive the variational formulation of an anisotropic gradient damage model with different behaviour at traction and compression and a state dependent dissipation potential by applying the energetic formulation of rate-independent processes .
After revision: We derive the variational formulation of an anisotropic gradient damage model by applying the energetic formulation of rate-independent processes and obtain a regularized formulation of fracture. The model exhibits different behavior at traction and compression and a state dependent dissipation potential by applying the energetic formulation of rate-independent processes .