周期法向载荷下一维六方准晶非周期平面的裂纹问题

摘要

应用一维六方准晶非周期平面线弹性力学理论,提出被周期直裂纹削弱的一维六方准晶非周期平面的第一基本问题,通过借鉴并改进经典弹性力学中周期弹性平面理论的方法和技巧,对问题进行求解.取特殊情况,得到了周期法向对称载荷下及周期均匀法向对称载荷下的应力函数.%In the linear elasticity framework,the first basic problem of a periodic plane in the one-dimensional hexagonal quasicrystals which is weakened by a periodic horizontal cracks is presented.The problem is solved by referring and improving the method and technique of the periodic elastic plane theory in the classical elasticity theory.In the special cases,the stress functions of periodic normal symmetrical load and uniform normal symmetrical load are obtained.