带不对称裂纹的圆形孔口的反平面剪切问题的解析解

Analytic Solutions of the Anti-plane Problems about a Circular Hole with Asymmetry Cracks

利用复变函数方法,通过构造保角映射,研究了带不对称裂纹的圆形孔口的反平面剪切问题,给出了Ⅲ型裂纹问题的应力强度因子.在极限情形下,不仅可以还原为已有的结果,而且求得带对称双裂纹的圆形孔口问题、带单裂纹的圆形孔口问题在裂纹尖端处的Ⅲ型应力强度因子.

By means of the complex variable function method and using the technique of conforreal mapping, the anti-plane shear problem about a circular hole with asymmetry cracks is investigated and the solution of the stress intensity factor （SIFs） of mode Ⅲ is found out. Under the condition of limitation, not only the known result can be obtained but also the solutions of the mode SIFs at the crack tip to a circular hole with two straight cracks and a circular hole with a straight crack are found out.