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中文摘要：
利用复变函数方法，通过构造保角映射，研究一维六方准晶中椭圆孔边带不对称裂纹的反平面剪切问题，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，而且求得一维六方准晶中带裂纹的圆形孔口问题，两垂直裂纹问题在裂纹尖端的应力强度因子．
英文摘要：
By means of the complex variable function method and using the technique of conformal mapping, the anti-plane shear problem of asymmetry cracks around an elliptic orifice in one-dimensional hexa- gonal quasicrystals was investigated and the solution of the stress intensity factor （SIF） was found out for the cracks of mode Ⅲ. Under the critical condition, not only the available result could be recovered but the solution of the SIFs at the crack tip in a circular orifice problem and two perpendicular crack problem was also found out for the asymmetry cracks in one-dimensional hexagonal cluasicrystals.
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