Modeling Quasi-Static Crack Using XFEM and FECEM

Simulating quasi-static crack to obtain crack tip stress field is a criterion to evaluate whether a numerical simulation model is good at modeling discontinuous problems such as cracks. In this study, a fully embedded zero-thickness cohesive element model (FECEM) was developed based without assuming a perfect interface. By using XFEM (extended finite element method) and FECEM, respectively, 2-D finite element models were constructed to simulate the unilateral I-type and II-type cracks and mixed I-II type crack on 2-D rectangular plate. In XFEM simulation, J-integral was used to calculate the stress intensity factor on the crack tip, which was compared with the theoretical solution. Comparison of the simulated results by XFEM and FECEM models confirms that our newly developed FECEM model has a high reliability in simulating quasi-static crack without assuming a perfect interface.