一维六方准晶中平行螺型位错与有限长裂纹的相互作用  

The Interaction between Parallel Screw Dislocations and a Finite Crack in One-dimensional Hexagonal Quasicrystals

作　　者：吕鑫[1] 刘官厅[1] Xin Lv;Guanting Liu(College of Mathematics Science,Inner Mongolia Normal University,Hohhot,010022)

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《固体力学学报》2020年第1期41-49,共9页Chinese Journal of Solid Mechanics

基　　金：国家重点研发计划(2017YFC1405605);内蒙古自治区科学基金项目(2018MS01005);内蒙古自治区高等学校科学研究项目(NJZY18022);内蒙古自治区研究生科研创新基金项目(S20171013502);内蒙古自治区师范大学研究生科研创新基金项目(CXJJS17074)资助。

摘　　要：论文采用解析函数理论,利用Muskhelishvili著名的复变函数方法,给出了无限大一维六方准晶中多条平行螺型位错与有限长直裂纹相互作用的解析解,并得到了裂纹尖端的场强度因子和作用在位错上的像力.数值算例讨论了镜像力、场强度因子随位错位置的变化,及位错的位置与分布对广义应力场的影响.By using the famous complex variable function method introduced by Muskhelishvili and the analytic function theory in this paper, the analytical solutions of the interaction of many parallel screw dislocations with a finite crack in infinitely large one-dimensional hexagonal quasicrystals are studied. The field intensity factors at the crack tip and the imaged force acting on one dislocation with the existence of crack and other dislocations are obtained. The numerical examples are given to discuss the influence of the dislocation position on the field intensity factors and the imaged force. The position and distribution of the dislocations also affect the generalized stress field.

关 键 词：一维六方准晶 平行螺型位错 有限长裂纹 相互作用 

分 类 号：O753.3[理学—晶体学] O346.1O772