Fracture mechanics is fundamental in various fields, such as mechanical engineering, civil engineering, hydraulics, and medicine. In addition, thanks to this field, we can estimate the age of the components of a structure, and the inspection and maintenance intervals can be precise. Thus, fracture mechanics is a science that studies numerical tools to characterize various parameters, such as the contour integral (J), stress intensity factors, and internal energy. However, in this paper, comparing the two types of elements (CPS3) and (CPS4R) gives comparable and proportional results; logically, a good correlation was obtained between them. In this article, those parameters were simulated and analyzed numerically by the finite element method (FEM) of a two-dimensional model consisting of a steel material with elastic properties. The analysis of the crack parameters was evaluated by the two models of elements CPS3 and CPS4R. On the other hand, the crack parameters between the two elements were compared. In addition, the numerical simulation was carried out using the computer code ABAQUS 16.3.1.