一维六方准晶材料中双周期裂纹反平面问题  

Anti-plane Problem of A One-dimensional Hexagonal Quasicrystals with Doubly Periodic Cracks

作　　者：崔江彦[1,2] 李星[2] 张保文[2] 

机构地区：[1]银川唐徕回民中学,宁夏银川750001 [2]宁夏大学数学与计算机学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2014年第4期294-298,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11362018;41204041;11261045);高等学校博士学科点专项科研基金资助项目(博导类;20116401110002)

摘　　要：研究无限大一维六方准晶材料中含双周期分布裂纹的反平面问题,其基本胞元含有3条裂纹,且3条裂纹的中心恰好位于等腰三角形顶点.充分考虑问题的双周期对称性,通过运用椭圆函数理论、保角变换理论、施瓦兹公式获得了准晶声子场和相位子场的封闭解以及裂纹尖端处的应力强度因子表达式.The anti-plane problem for a one-dimensional hexagonal quasicrystal with doubly periodic cracks is studied.The basic unit cell of doubly periodic problem contains three cracks which centers are on the top of an isosceles triangle.By using methods of the elliptical function,the conformal mapping and the Schwarz’s formula,the solutions of the phonon and phoson fields are obtained in a closed-form,and the stress intensity factors are derived.

关 键 词：一维六方准晶 双周期裂纹 反平面问题 复变函数方法 应力强度因子 

分 类 号：O174.5[理学—数学]