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中文摘要：
利用复变函数方法，通过构造保角映射，研究带裂纹的椭圆孔口的反平面剪切问题，给出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，而且求得带裂纹的圆形孔口问题、两垂直裂纹问题在裂纹尖端处的Ⅲ型应力强度因子．
英文摘要：
By means of complex variable function method and using the technique of conformal mapping, the anti-plane shear problem of an elliptic hole with cracks was investigated and the solution of the stress intensity factor（SIFs）of mode Ⅲ was given. Under the limit condition, not only the known result could be obtained but also the stress intensity factors of mode Ⅲ at the crack tip were found for the problems of circular hole with a crack and the problems of two perpendicular cracks.
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