无网格伽辽金法在裂纹扩展计算中的应用

The Application of the Element-free Galerkin Method to the Crack Propagation Problems

采用了一种基于t-分布的新型权函数,提高了无网格伽辽金法的计算精度;采用完全变换法处理本质边界条件,实现了本质边界条件在节点处的精确施加;针对裂纹扩展中的实际情况,对动态影响半径法作了进一步的补充和改进.算例验证了方法的正确性和有效性。

A new weight function based on the t-distribution is adopted in this paper, which increases the accuracy of the element-free Galerkin method (EFGM) to some extent. The full transformation method is used to impose the essential boundary conditions, which realizes explicit implementation of the essential boundary conditions in EFGM. In the light of the fact of crack growth problems, supplement based on the dynamic influential radius method is proposed in this paper. Results of numerical examples demonstrate the validity, accuracy and efficiency of the improvement.