You can solve it using the XFEM model present in ABAQUS... You need to model the geometry and crack separately and assemble them using the XFEM interaction model. damage by traction separation in property module is to be used...
What we have noticed is that you can model a crack with XFEM as long as you don't have a compressive residual stress in front of the crack. In addition, If your R ratio is negative or you have compressive residual stress the crack closes onto itself and then you face issues with convergence of the solution.