中文摘要：

研究了一维六方准晶周期平面含循环对称裂纹的平面应变第一基本问题。运用复变函数方法把弹性平衡的求解归结为求解唯一可解的积分方程。利用问题的循环对称性,引入保角映射,简化积分方程求解。该问题的求解为推广经典的平面弹性复变方法解决新型（复合）材料的弹性问题提供一种新思路。

英文摘要：

First complain fundermental problem of one-dimensional hexagonal quasicrystals with circular sym- metric cracks is researched. Complex variable function method is used to transform elastical balanced problem into integral equations. Then, the circular symmetrical properity and conformal mapping is used to simplify integral equa- tions. By using these methods, the solution of integral equations are given and the problems are comletely sloved. It is provied a new idea for using plane elastic complex variable method to slove same problems in new and compound materials.