周期法向载荷下一维六方准晶非周期平面的裂纹问题  

Crack Problem of Aperiodical Plane in the One-dimensional Hexagonal Quasicrystals Under Periodic Normal Load

作　　者：崔江彦 李星 

机构地区：[1]银川唐徕回民中学,宁夏银川750001 [2]宁夏大学数学统计学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2018年第1期26-31,共6页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11362018)

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 onedimensional hexagonal quasicrystals which is weakened by aperiodic 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.

关 键 词：一维六方准晶 非周期平面 复变函数方法 

分 类 号：O174.5[理学—数学] O346.1[理学—基础数学]