一维六方准晶中圆弧裂纹及抛物线裂纹的反平面剪切问题  

The Anti-Plane Problems with An Arc or Parabolic Crack in One-Dimensional Hexagonal Quasicrystals

作　　者：皮建东[1] 刘官厅[1] 郭怀民[2] 

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 [2]包头师范学院数学科学学院,内蒙古包头014030

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2008年第4期435-440,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(10761005);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变换,研究了一维六方准晶中的圆弧裂纹以及抛物线裂纹的反平面剪切问题,得到裂尖处的应力强度因子.在一些特殊条件下,圆弧裂纹和抛物线裂纹都可以转化为Griffith裂纹,通过极限运算,可以得到该Griffith裂纹在裂尖处的应力强度因子,所得结果与已有结果是一致的.By introducing the appropriate conformal transformation and using the complex variable function method, the anti-plane problems with an arc or parabolic crack in one-dimensional hexagonal qua- sicrystals are solved and the SIFs at the crack tip are obtained. In some special conditions,both of the are crack and the parabolic crack can be turned into a Griffith crack. By limitation computation,we can get the SIFs at the tip of the Griffith crack,which is in accordance with the known results.

关 键 词：一维六方准晶 圆弧裂纹 抛物线裂纹 应力强度因子 

分 类 号：O346.1[理学—固体力学]