During the process of the shear and bending failure of reinforced concrete beams, different cracks are generated on the side of the beam. Considering the material nonlinearity and geometric irregularity of reinforced concrete, and using concrete damage plasticity method, it is of great significance to study the dynamic evolution law of crack propagation in reinforced concrete members. Crack propagation consists of the elongation of the crack length at the surface of the concrete material. In this paper, a finite element model of a reinforced concrete beam subjected to flexure load is established by considering the damage of the concrete, and then comparing the fracture parameters values such as Stress intensity factor and Von Misses stress, with the valued obtained after applying a composite patch material to repair the reinforced concrete beam, the finite element model can accurately reflect the behavior of the structure with the presence of the cracks and then with the repair method, The concrete damage plasticity is applied to the numerical model as a distributed plasticity over the whole geometry. The objective of this study is to predict failure and crack development in the concrete model using finite element method code compute ABAQUS for static load.