中文摘要：

用复变函数方法和保角变换研究准晶压电材料中椭圆带不对称裂纹的Ⅲ型问题.根据压电准晶材料的基本方程,利用点群的对称性,导出一维六方准晶压电材料反平面问题的控制方程,并利用Cauchy积分公式,得到在电不可通边界下的裂纹尖端场的强度因子和机械能释放率的解析表达式.

英文摘要：

This paper adopted variable function method and the technique of conformal mapping to study the anti-plane problem of two asymmetrical edge cracks emanating from an elliptical hole of piezoe-lectricity of onedimensional hexagonal quasicrystals.Based on the fundamental equations of peizoelasticity of quasicrystal materials and the symmetry of onedimensional hexagonal quasicrystals,one-dimensional piezoelectric crystal material control equations of antiplane problem were derived.Using Cauchy integral formula,the analytical expressions of the field intensity factors and the mechanical strain enegy rete were presented with the assumption that the crack were electrically impermeable.