基于小波有限元法的虚拟裂纹闭合法

Virtual crack closure technique based on wavelet finite element method

为了弥补传统有限元在处理复杂结构断裂参数数值计算中的不足,将小波有限元应用到断裂力学数值计算中,提出了一种新的基于小波有限元的虚拟裂纹闭合法。该方法将哑节点断裂单元镶嵌到含裂纹结构的小波有限元模型中,利用虚拟裂纹闭合法计算能量释放率和应力强度因子。将计算结果与传统有限元和ANSYS模拟结果比较。结果表明:2个小波单元求解结果与传统有限元和ANSYS模拟结果基本吻合,与解析解相对误差不超过3%,表明该方法具有计算量小、方法简便和计算精度高的优点,为工程中复杂结构断裂参数数值计算提供了一种新方法。

To overcome the shortcoming of traditional finite element method（FEM） in the numerical calculation of fracture parameters of the complex structure,a new virtual crack closure technique was proposed based on wavelet FEM in the numerical calculation of the fracture mechanics.In this method,the dummy node fracture elements are embedded in the wavelet finite element model with cracks,the energy release rates and the stress intensity factors are calculated by the virtual crack closure technique.The calculated results were compared with those by the traditional FEM and software ANSYS.The comparison results show that two calculations by wavelet FEM are consistent with those by the traditional FEM and ANSYS with a relative error less than 3%.The proposed method is characterized by higher accuracy and less calculation elements,provides a new way for engineering fracture analysis of the complex structure.