Interaction between many parallel screw dislocations and a semi-infinite crack in a magnetoelectroelastic solid  

作　　者：吕鑫 刘官厅 

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

出　　处：《Chinese Physics B》2018年第7期393-396,共4页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11262017,11262012,and 11462020);the Natural Science Foundation of Inner Mongolia Autonomous Region,China(Grant No.2015MS0129);the Key Project of Inner Mongolia Normal University,China(Grant No.2014ZD03);the Graduate Research Innovation Project of Inner Mongolia Autonomous Region,China(Grant No.S20171013502)

摘　　要：Based on the fundamental equations of magnetoelectroelastic material and the analytic theory, and using the Muskhelishvili-introduced well-known elastic techniques combined with the superposition principle, the closed form solution of the generalized stress field of the interaction between many parallel screw dislocations and a semi-infinite crack in an infinite magnetoelectroelastic solid is obtained, on the assumption that the surface of the crack is impermeable electrically and magnetically. Besides, the Peach-Koehler formula of n parallel screw dislocations is given. Numerical examples show that the generalized stress varies with the position of point z and is related to the material constants. The results indicate that the stress concentration occurs at the dislocation core and the tip of the crack. The result of interaction makes the system stay in a lower energy state.Based on the fundamental equations of magnetoelectroelastic material and the analytic theory, and using the Muskhelishvili-introduced well-known elastic techniques combined with the superposition principle, the closed form solution of the generalized stress field of the interaction between many parallel screw dislocations and a semi-infinite crack in an infinite magnetoelectroelastic solid is obtained, on the assumption that the surface of the crack is impermeable electrically and magnetically. Besides, the Peach-Koehler formula of n parallel screw dislocations is given. Numerical examples show that the generalized stress varies with the position of point z and is related to the material constants. The results indicate that the stress concentration occurs at the dislocation core and the tip of the crack. The result of interaction makes the system stay in a lower energy state.

关 键 词：parallel screw dislocations semi-infinite crack magnetoelectroelastic solid INTERACTION 

分 类 号：TB381[一般工业技术—材料科学与工程]