一维六方准晶中n条平行位错与半无限裂纹的相互作用（英文）  

Interaction amongn Parallel Dislocations and a Semi-infinite Crack in One-dimensional Hexagonal Quasicrystals

作　　者：杨丽英[1] 刘官厅[2] YANG Li-ying LIU Guan-ting(College of Sciences, Inner Mongolia Agricultural University, Hohhot 010018, China College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022 ,China)

机构地区：[1]内蒙古农业大学理学院,内蒙古呼和浩特010018 [2]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）》2016年第5期610-614,623,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：Project Supported by the National Natural Science Foundation of China(11262017,11262012,11462020);the Research Key Program of Science at Universities of Inner Mongolia(NJZZ14081);the Programme of Higher-level talents of Inner Mongolia Normal University(RCPY-2-2012-K-035);the Key Project of Inner Mongolia Normal University(2014ZD03)

摘　　要：根据解析函数理论,研究了一维六方准晶中n条平行位错与半无限裂纹的相互作用问题,得到了n条平行位错与半无限裂纹相互作用下应力场的解析解.结果表明,位错芯和裂纹尖端处会产生应力集中现象,并且相互作用下的应力随Burgers矢量的增大而增大,随离位错芯距离的增大而减小.By means of analytic function theory,the problems of interaction among n parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystals are studied.The analytic solutions of stress fields of the interaction among n parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystals are obtained.They indicate that the stress concentration occurs at the dislocation source and the tip of crack,and the stress is bigger and bigger with increasing of the component of Burgers vector and smaller and smaller with increasing far from the distance of dislocations.

关 键 词：一维六方准晶 位错 裂纹 相互作用 

分 类 号：O346.1[理学—固体力学]