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Which theory Abaqus' Contour Integral for the determination of SIFs is based on?

I am actually using Abaqus' Contour Integral for the determination of stress intensity factors. But I do not know, which theory it is based on. Is it the same like the path-independent determination of J integral? Or is there a difference?

How can I get in Abaqus (XFEM) the Griffith' energy release rate G per time increment?

I want to visualize my results of the XFEM crack growth in form of a diagram with the time increments or the crack length on the horizontal axis and the Griffith' energy release rate G or the stress intensity factor K on the vertical axis. I am using the energy-based damage model.

I don't know, where to activate those values in the Output History. The best solution for me is, if the energy release rate G can be transformed into the stress intensity factor.

Can somebody assist me with modelling the crack propagation with XFEM (Abaqus) in connection with contact problems?

Hello,

I want to arrange a crack propagation in a screw thread. Therefor I use two dimensional axissymmetric elements in Abaqus 6.12-3 (it is the first version, that allows XFEM in axissymmetric models). The boundaries of the screw thread are on the one hand the symmetry axis, on the other hand the contact to a nut thread that is hold in vertical direction. Thus, there are two nonlinear problems: 1.) the contact problem and 2.) the XFEM crack growth.

1.) Arranging the analysis of the contact problem without crack growth works thoroughly.

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