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中文摘要：
本文讨论了无限大一维六方准晶材料中基本胞元含有中心位于等腰三角形顶点的双周期排布裂纹的反平面问题。充分考虑问题的双周期对称性，利用双周期椭圆函数构造的保角变化和施瓦兹公式得到该问题声子场和相位子场的闭合解，进而讨论裂纹尖端的强度因子．
英文摘要：
The antiplane problem of a one-dimensional hexagonal quasicrystals with dou- bly periodic cracks which the centers of the cracks in the basic cel are on the tops of the triangle is investigated. Considering the periodic symmetrical properties, by using the meth- ods of conformal mapping of elliptical function and schwarz＇s formula, the solution of the phonon field and the phase seat field are obtained in closed form. Thereby the intensity factors are derived.
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