一维六方准晶狭长体中共线裂纹问题的精确解  

Exact Solutions of the One-dimensional Hexagonal Quasicrystals with two Semi-infinite Collinear Cracks in a Strip

作　　者：皮建东[1] 刘官厅[1] 郭怀民[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2006年第4期391-396,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10372016);内蒙古自然科学基金资助项目(200607010104)

摘　　要：利用复变方法,通过引入适当的保角映射,研究了一维六方准晶狭长体中双半无限共线裂纹的反平面剪切问题,给出了Ⅲ型裂纹问题的应力强度因子的精确解.在极限情形下,可以还原为若干已有的结果.By means of the complex variable function method and introducing the conformal transformation,the anti-plane shear problem about two semi-infinite collinear cracks in one-dimensional hexagonal quasicrystals was investigated and the exact solution to mode Ⅲ SIFs was found out. Under the condition of limitation, some known results can be obtained.

关 键 词：准晶 共线裂纹 应力强度因子 

分 类 号：O346.1[理学—固体力学]