Interaction between infinitely many dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal  

作　　者：刘官厅 杨丽英 

机构地区：[1]College of Mathematics Science,Inner Mongolia Normal University [2]College of Sciences,Inner Mongolia Agricultural University

出　　处：《Chinese Physics B》2017年第9期280-284,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11462020,11262017,and 11262012);the Key Project of Inner Mongolia Normal University,China(Grant No.2014ZD03)

摘　　要：By means of analytic function theory, the problems of interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are studied. The analytic solutions of stress fields of the interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are obtained. They indicate that the stress concentration occurs at the dislocation source and the tip of the crack, and the value of the stress increases with the number of the dislocations increasing. These results are the development of interaction among the finitely many defects of quasicrystals, which possesses an important reference value for studying the interaction problems of infinitely many defects in fracture mechanics of quasicrystal.By means of analytic function theory, the problems of interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are studied. The analytic solutions of stress fields of the interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are obtained. They indicate that the stress concentration occurs at the dislocation source and the tip of the crack, and the value of the stress increases with the number of the dislocations increasing. These results are the development of interaction among the finitely many defects of quasicrystals, which possesses an important reference value for studying the interaction problems of infinitely many defects in fracture mechanics of quasicrystal.

关 键 词：quasicrystals infinitely many dislocations semi-infinite crack interaction 

分 类 号：O346.1[理学—固体力学]