摘要
利用复变函数的方法,通过构造保角映射研究了具有四条裂纹(一对非对称共线裂纹和一对对称共线裂纹)的圆形孔口的平面弹性问题,给出了裂纹尖端应力强度因子的解析解.并由此模拟出了具有三条裂纹、对称四条裂纹、非对称共线双裂纹、对称共线双裂纹的圆形孔口,以及非对称十字裂纹,十字裂纹,T形裂纹问题.
By means of complex variable function method,this paper deals with the elas- tic problem about a plane of a circular hole with four straight cracks（a pair of asymmetry collinear cracks and a pair of symmetry co｜linear cracks） by using the technique of conformal mapping,and the analytic solutions of the SIFs at the crack tip are obtained.The results can also simulate the circular hole with three straight cracks,the circular hole with four symmetry straight cracks,the circular hole with two asymmetry collinear cracks,the circular hole with two symmetry collinear cracks,the asymmetry cross crack,the cross crack and the mode T crack.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第22期103-110,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(10761005)
内蒙古自然科学基金(2009MS0102)
