The element-free Galerkin method (EFGM) is one of the meshless method without node-element connectivity information. It is expected to reduce the work for creating the mesh. It has been tried to be applied to various problems. Another notable feature of the EFGM is that it has the continuity of the first derivative i.e. strain and stress for a structural analysis by selecting the weight function. Since the displacement, strain and stress can be obtained anywhere, it is more advantageous to calculate the fracture mechanics parameters for nonlinear fracture mechanics problems than the finite element method (FEM). We can set the arbitrary integral contour or the moving integral contour along the crack propagation when we calculate them. In the present paper, the EFGM is applied to two-dimensional stable crack growth analysis which is required to estimate J-integral and T*-integral, and we confirm that the EFGM is effective for stable crack growth analysis.
