用准静态“移动奇异元法”模拟 DCB模型的动态裂纹扩展

 近10年来,随着对动态断裂问题的深入研究,出现了众多针对动态裂纹扩展的计算模型,但它们都存在着一定的缺陷。对动态裂纹扩展问题,计算模型的成败取决于解决该问题的变分方程、扩展的模拟方法以及对动态裂纹附近的应力、应变场的表达是否合理。但文献所用的常规元、文献对裂纹扩展使用的“逐步节点力释放”法和文献采用的变分方程“energy consistent variational statement”都存在着某些不合理因素,因此计算结果不很理想。另外,由于模拟裂纹扩展的计算量非常之大,如何在保证精度的前提下节省计算时间也是需要进一步解决的问题。本文力求通过采用新的变分方程、新的奇异元、利用文献的扩展模拟方式克服以上存在的种种不足。

THE SIMULATION OF DYNAMIC CRACK PROPAGATION IN DCB MODEL BY QUASI-STATIC “MOVING SINGULAR ELEMENT METHOD”

In this paper, a modified “Moving Singular Element Method” is presented by using a new variational equation in place of “energy-consistent variational statement”, which is more rigorous in theoretic concept and more convenient to perform. Furthermore, on the basis of it, a so-called “Quasi-static Moving Singular Element Method” is shown, which takes about 50% less CPU time when actually computing and has a reasonable accuracy.