非均匀双周期裂纹场的反平面问题

本文从虎克定律与平衡方程出发,利用复变函数映象的理论.将裂纹发生的矩形区域保角变换到ζ平面的上半平面去.再根据H.И.穆斯黑里什维利[1]的理论,对非均匀双周期裂纹场的反平面问题,我们求得闭合解,并推出了应力强度因子.     

THE ANTIPLANE PROBLEM OF DOUBLE PERIOD NON-UNIFORM DISTRIBUTION CRACK FIELD

Originating from Robert Hooke’s law and equilibrious equations,and using the theoryof the complex variable function,this paper transfers the rectaugle region in which thecracks emerge into upper-half part of ξplane by means of conformal mapping.Thenaccording to the theory of ref.[1].We find the solution in closed form,thereby the stressintensity factors are derived.