I am modeling in Abaqus a metal plate subjected to tension (CT), with an existing crack surface, using XFEM technique. I need to perform cyclic analysis so I need to assign hysteretic response to the material. To do that, I need to implement damage initiation and evolution according to hysteretic energy criterion. In Abaqus, this latter is not applicable if damage is already defined by traction separation laws (in my case max principal stress). I defined a surface criterion to the crack according to Paris Law. Is it a problem if I am using XFEM and the damage is defined only by hysteresis energy criterion, without implementing tension separation laws criterion for damage?