Analysis of a piezoelectric screw dislocation inside an elliptical inhomogeneity with confocal rigid line in piezoelectric material  

作　　者：Chunzhi Jiang,1,2,3, ) Chao Xie,1,2 Youwen Liu,1,2 and Xin Zeng1,2 1)State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China 2)College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China 3)Department of Physics and Electronic Information Engineering, Xiangnan University, Chenzhou 423000, China 

出　　处：《Theoretical & Applied Mechanics Letters》2011年第6期10-13,共4页力学快报（英文版）

基　　金：supported by the Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body (60870005);the National Natural Science Foundation of China (10872065)

摘　　要：This paper deals with the electro-elastic coupling interaction between a piezoelectric screw dislocation which is located inside the elliptical inhomogeneity and an electrically conductive confocal rigid line under remote anti-plane shear stresses and in-plane electrical loads in piezoelectric composite material. The analytical-functions of the complex potentials, stress fields and the image force acting on the piezoelectric screw dislocation are obtained based on the principle of conformal mapping, the method of series expansion, the technical of analytic continuation and the analysis of singularity of complex potentials. The rigid line and the piezoelectric material property combinations upon the image force and the equilibrium position of the dislocation are discussed in detail by the numerical computation.This paper deals with the electro-elastic coupling interaction between a piezoelectric screw dislocation which is located inside the elliptical inhomogeneity and an electrically conductive confocal rigid line under remote anti-plane shear stresses and in-plane electrical loads in piezoelectric composite material. The analytical-functions of the complex potentials, stress fields and the image force acting on the piezoelectric screw dislocation are obtained based on the principle of conformal mapping, the method of series expansion, the technical of analytic continuation and the analysis of singularity of complex potentials. The rigid line and the piezoelectric material property combinations upon the image force and the equilibrium position of the dislocation are discussed in detail by the numerical computation.

关 键 词：complex variable method rigid line piezoelectric material piezoelectric screw dislocation elliptical inhomogeneity 

分 类 号：TB34[一般工业技术—材料科学与工程]