一维六方压电准晶对称条形体中共线双半无限快速传播裂纹的解析解  

ANALYTIC SOLUTIONS OF TWO COLLINEAR FAST PROPAGATING CRACKS IN A SYMMETRICAL STRIP OF ONE-DIMENSIONAL HEXAGONAL PIEZOELECTRIC QUASICRYSTALS

作　　者：李星[1] 霍华颂[1] 时朋朋[1] 

机构地区：[1]宁夏大学数学与计算机学院,银川750021

出　　处：《固体力学学报》2014年第2期135-141,共7页Chinese Journal of Solid Mechanics

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

摘　　要：利用复变函数方法,通过构造保角映射,分析了一维六方压电准晶中对称条形体中共线双半无限快速传播裂纹的反平面问题,给出了在电非渗透型与电渗透型两种情况下动态应力强度因子的解析解.当速度趋于零时可退化为已有的对应的静力问题的解.得到的解析解对准晶材料的工程应用中有一定的理论价值.The anti-plane problem of two collinear semi-infinite rapid propagation cracks in a symmet- rical strip of one-dimensional hexagonal piezoelectric quasi-crystals was analyzed by adopting the construc- tion of conformal mapping. The analytic solutions of the dynamic stress intensity factors with electrically impermeable and permeable conditions were obtained. When the crack velocity approaches zeros, the analyt- ic solutions of the dynamic stress intensity factors can be degenerated to the solutions of the corresponding static problems. These solutions have an important theoretical significance for the engineering application of quasicrystal materials.

关 键 词：一维六方压电准晶 共线双半无限快速传播裂纹 复变函数方法 动态应力强度因子 

分 类 号：O346.1[理学—固体力学]