【摘要】 以位移、应力函数为基本未知量，采用Ｍｉｓｅｓ屈服条件，对理想塑性材料中准静态扩展的Ⅲ型裂纹进行了分析．裂尖场分为三个区，即扇形区、弹性卸载区和均匀应力区，推导了渐近方程，并求得数学封闭解，由数值计算得到了各分区的角度值．结果表明应变具有（ｌｎ（１／ｒ））２的奇异性，与Ⅱ型裂纹的分区及应变奇异性一致．更多还原

【Abstract】 Near tip field of a mode-Ⅲ crack growing statically in a perfectly plastic material has been analyzed by using displacement and stress function as unknowns and Mises yield condition. The crack tip field can be divided into three sectors, which are fan region, unloading elastic region and constant stress region. The asymptotic equations are derived and the closed form solution is obtained. Through the numerical calculation the angles of each sector have been given. The result manifests that the strain possesses the singularity of (ln (1/r)) 2 which is consistent with that of mode-Ⅱcrack.更多还原