Diamond debonding in composite segments used in cutting of natural stones was investigated in this study. The finite element method was used for numerical solutions, and the problem was modelled as two dimensional. The problem was investigated under linear elastic fracture conditions. Stress intensity factors and strain energy release rates were obtained. Numerical solutions were performed for different diamond sizes and diamond heights. According to the obtained results, the most effective factor for growth of the interface crack was considered to be the tangential force acting on the diamond.