尖角裂纹周围应力场分析

Analysis on the stress field around sharp crack

对于裂纹的分析,不仅要研究裂纹边界的应力状况,而且还要研究离开裂纹边界一定范围内的应力变化情况。针对尖角裂纹,采用弹性断裂理论和复变函数理论建立计算模型。通过保角映射方法建立精确的边界条件,解决了尖角裂纹的边界条件问题。根据所求得的尖角裂纹应力表达式对不同的裂纹张开角对应力分布的影响进行全面的研究。得到了不同张开角的尖角裂纹周围应力分布。并对不同裂纹张开角的应力场进行了比较全面的分析。

Analysis on crack includes stress condition of crack border and stress variation in a certain range of departure from crack border. According to the elastic fracture theory and complex function theory, accurate boundary conditions of sharp cracks were found to settle the boundary condition problems of sharp crack by the conformal mapping method.And based on the stress expression obtained above, comprehensive analysis on influence of opening-angle on stress was carried out to get the stress field around the sharp crack. Then, comprehensive analysis on stress field of different crack opening angle was made in this paper.