The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals  

作　　者：姜丽娟 刘官厅 

机构地区：[1]College of Mathematics Science,Inner Mongolia Normal University,Huhhot 010022,China

出　　处：《Chinese Physics B》2017年第4期245-251,共7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 Programme of Higher-level Talents of Inner Mongolia Normal University(Grant No.RCPY-2-2012-K-035);the Key Project of Inner Mongolia Normal University(Grant No.2014ZD03)

摘　　要：Based on the fundamental equations of piezoelasticity of quasicrystal material,we investigated the interaction between a screw dislocation and a wedge-shaped crack in the piezoelectricity of one-dimensional hexagonal quasicrystals.Explicit analytical solutions are obtained for stress and electric displacement intensity factors of the crack,as well as the force on dislocation.The derivation is based on the conformal mapping method and the perturbation technique.The influences of the wedge angle and dislocation location on the image force are also discussed.The results obtained in this paper can be fully reduced to some special cases already available or deriving new ones.Based on the fundamental equations of piezoelasticity of quasicrystal material,we investigated the interaction between a screw dislocation and a wedge-shaped crack in the piezoelectricity of one-dimensional hexagonal quasicrystals.Explicit analytical solutions are obtained for stress and electric displacement intensity factors of the crack,as well as the force on dislocation.The derivation is based on the conformal mapping method and the perturbation technique.The influences of the wedge angle and dislocation location on the image force are also discussed.The results obtained in this paper can be fully reduced to some special cases already available or deriving new ones.

关 键 词：one-dimensional hexagonal piezoelectric quasicrystals dislocation wedge-shaped crack interac-tion 

分 类 号：O753.3[理学—晶体学]