基于不连续场修正权的无网格断裂分析

本文采用了一种基于不连续场修正权函数的无网格方法来处理二维平面问题中的有限长裂纹。相较于目前常用的无网格裂纹不连续性处理方案，采用修正权函数处理裂纹附近不连续场时只需要对原权函数进行修正，算法简便易实现。本文采用基于不连续场修正权函数的无单元Galerkin方法（EFGM），对在边界上施加I-II混合型裂纹位移场的斜裂纹板进行了数值分析。并与可视性准则、衍射法和透射法等不连续准则对比了裂尖位移场、应力场和应力强度因子解的数值精度。另外，本文还对这四种不连续准则形函数的计算效率进行了分析和比较。

Meshless fracture analysis based on weight-function modification

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.