Ⅲ型运动裂纹在两种边界条件下的位错分布函数

DISLOCATION DISTRIBUTION FUNCTIONS OF MODE Ⅲ MOVING CRACK UNDER TWO BOUNDARY CONDITIONS

通过应用复变函数理论,对Ⅲ型运动裂纹面受均布载荷、运动集中变载荷作用下的断裂动力学问题分别进行了研究。采用自相似函数的方法可以将所讨论的问题转化为Riemann-Hilbert问题,然后应用Muskhelishvili方法就可以得到运动裂纹的应力、位移和应力强度因子的解析解。利用位错分布函数和位移的关系,求得了位错分布函数的解析解,并描述了位错分布函数的变化规律。

By application of the theory of complex functions, the fracture dynamics problems on the edges of mode III moving crack subjected to homogenous loads and moving concentrated variable loads were investagated respectively. Using the approaches of self-similar functions, the problems considered can be transformed into Riemann-Hilbert problems, and analytical solutions of stresses, displacements and dynamic stress intensity factors for moving crack are then obtained by Muskhelishvili＇s method. Through the relationship between dislocation distribution functions and displacements, analytical solutions of dislocation distribution functions were attained, and variational rules of dislocation distribution functions were discribed.