高阶流形方法模拟裂纹扩展研究

Study on crack propagation modeling by high order manifold method

在物理覆盖上采用一阶覆盖函数(即单元上位移函数为二阶)模拟裂纹扩展,并且基于采用的覆盖函数给出了一种裂纹尖端停留在单元内部的算法,从而,可控制每一步裂纹扩展的长度。该方法可弥补物理覆盖上使用常覆盖函数模拟裂纹扩展时无法准确控制扩展长度的不足。

Crack propagation is modeled by means of manifold method with first order cover function employed. Quadratic displacement functions are formed on manifold element in this situation. An algorithm to deal with the crack tip抯 stopping at any place of an element is presented. Thereby, the length of crack extension in each extension step can be controlled by means of the algorithm, and the shortcoming in crack simulation by manifold method with constant cover function is overcome.