压电螺型位错和共线界面刚性线夹杂的干涉效应  

ELECTROELASTIC INTERACTION BETWEEN A PIEZOELECTRIC SCREW DISLOCATION AND COLLINEAR INTERFACIAL RIGID LINES

作　　者：方棋洪[1] 刘又文[1] 

机构地区：[1]湖南大学工程力学系,长沙410082

出　　处：《固体力学学报》2004年第4期467-470,共4页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金(10272009);湖南省自然科学基金(02JJY2014)资助.

摘　　要：研究了压电材料中压电螺型位错和共线界面导电刚性线夹杂的电弹干涉效应.运用复变函数解析延拓技术与奇性主部分析方法,获得了该问题的一般解答.作为算例,求出了界面含一条刚性线夹杂时两种压电介质区域广义应力函数的封闭形式解.导出了作用在位错上的像力和刚性线夹杂表面剪应力和电位移的解析表达式.讨论了界面刚性线长度,两种材料的剪切模量比和压电系数比对位错力和刚性线表面剪应力的影响规律.为进一步研究该类问题提供了一个基本解.The electroelastic interaction between a piezoelectric screw dislocation and collinear interfacial rigid lines is studied. By using Riemann Schwarz's symmetry principle integrated with the singularity analysis of complex potentials, a general solution of this problem is presented. For a special example, the closed form solutions for generalized stress functions in two media are derived explicitly when interface contains single rigid line. The image force acting on the piezoelectric screw dislocation and the generalized stress on the surface of rigid line are calculated. The influence of the rigid line size and the shear moduli to piezoelectric coefficients ratios upon the image force and the shear stress on the surface of the rigid line is discussed and shown in graphs. In addition, a basic solution is provided for further investigating the interaction between defects and inclusions.

关 键 词：刚性线夹杂 干涉效应 共线 螺型位错 奇性 位错力 形式解 界面 压电材料 表面 

分 类 号：TB39[一般工业技术—材料科学与工程]