螺旋位错与压电材料椭圆夹杂干涉问题的一般解  

General solution to interference problem between screw dislocation and elliptical inhomogeneity of piezoelectric materials

作　　者：常莉红[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《宝鸡文理学院学报（自然科学版）》2011年第1期19-22,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：宝鸡文理学院重点科研项目(ZK10105)

摘　　要：目的讨论无限大均匀压电材料中含有椭圆夹杂在螺旋位错作用下的反平面问题。方法利用分区全纯函数理论、Cauchy型积分、奇性主部分析方法以及Riemann边值理论进行讨论。结果与结论给出了螺旋错位与压电材料椭圆夹杂干涉问题的一般解。Aim To investigate the anti-plane problem of the elliptical inhomogeneity under the action of screw dislocation in infinite homogeneous piezoelectric materials.Methods The theory of sectionally holomorphic function,Cauchy type integral,the analysis method of the singularity and Riemann boundary problem are used to investigate the anti-plane problem.Results and Conclusion The general solution to interference problem between screw dislocation and elliptical inhomogeneity of piezoelectric materials is given.

关 键 词：压电材料 椭圆夹杂 螺旋错位 

分 类 号：O174.5[理学—数学]