Investigation of Accuracy and Efficiency of SBFEM in Analysis of Stress Field with Singularities

The scaled boundary finite element method (SBFEM) is a modern numerical one that there is no need to solve fundamental equations, so the problem solution would be easier than the boundary element method (BEM). For example, in this method, the semi-analytical solution is used in the stress field, and by using shape functions, one dimension of the problem will be reduced and the obtained equation will be solved analytically. This study is due to consider the efficiency and the power of the methods based on SBFEM and comparison with the finite element method (FEM). One of the methods that will be considered in this study is polygon elements and SBFEM is used to form the stiffness matrix. Furthermore, polygon elements are very flexible while meshing (fine and coarse mesh). The data is analyzed by MATLAB software, and then is validated by ABAQUS software.