ABSTRACT
ABAQUS, and is required to separate the components of the stress intensity factors for a crack under mixedmode loading in conjunction of finite element analysis. The method is applicable to cracks in isotropic and anisotropic materials. Based on the definition of the J-integral, the interaction integrals J αint can be expressed (Habbit et al):
Where is an arbitrary contour, q is a unit vector in the virtual crack extension direction, n is the outward normal to , σ is the stress tensor and u is the displacement vector, as shown in Figure 1. The subscript aux represents three auxiliary pure mode-I, mode-II, and mode-III crack-tip fields forα= I, II, and III, respectively. The domain form of the interaction J-integral is:
Where λ(s) virtual crack advance and dA is surface element. In the interaction J-integral method the two-dimensional auxiliary fields are introduced and superposed on the actual fields (Habbit et al. 2001).
