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There are three finite element methods to solve the fracture problems, such as cohesive element, virtual crack closure technique (VCCT) and the extended finite element method (XFEM). In this paper, these methods were used to analyze the crack behavior of the same rubber specimen. Through the crack analyses, we found that the cohesive element is not suitable for rubber material. Results obtained from the other two methods agree very well by comparing the calculated results such as strain energy density and Mises stress. Hence, we consider the VCCT and XFEM can be applied to predict the crack behavior of rubber material and products.