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For the cases where perfect interface is not assumed and crack propagation path is unknown, the fully embedded zero-thickness cohesive element model (FECEM) is an alternative simulation method to model crack growth. In our newly developed FECEM model, the common element is triangle 3-node element under two-dimensional condition and the interface element is a quadrilateral cohesive element with zero thickness. From the simulation by FECEM, it is found that the elastic modulus of the second phase particle in a ductile matrix has a significant effect on crack propagation behavior. When the particle encounters the propagating crack, if it is softer than the matrix, the crack will be attracted towards the particle and then will puncture into it. If the particle is harder than the matrix, it will slow down the propagation of the crack.

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.