Abstract：In this paper, a meshless method based on discontinuous field weight-function modification is used to deal with finite length cracks in two-dimensional plane problems. Compared with the currently used crack discontinuity processing scheme, when the weight function is used to deal with the discontinuous field near the crack, only the original weight function needs to be modified, and the algorithm is simple and easy to implement. In this paper, the element-free Galerkin method (EFGM) based on the discontinuous weight-function modification is used to numerically analyze the oblique cracked plates with I-II mixed crack displacement fields on the boundary. The numerical accuracy of the crack tip displacement field, stress field, and stress intensity factors are compared with discontinuous criteria such as visibility criterion, diffraction method, and transparency method. In addition, the calculation efficiency of shape functions by the four discontinuous criterions is also analyzed and compared.
2019, Vol. 40 
