压电介质反平面问题中导电与电介质刚性线的相互作用  

Interaction of the Rigid Dielectric and Conductor Line Inclusions in a Piezoelectric Medium

作　　者：施伟辰[1] 

机构地区：[1]上海海运学院工学院,上海200135

出　　处：《上海海运学院学报》2003年第2期137-141,共5页Journal of Shanghai Maritime University

基　　金：上海市曙光计划项目资助 (SG2 0 0 0 -3 1)

摘　　要：将压电介质中的一对电介质和导体刚性线夹杂问题归结为数学中的Riemann Hilbert问题。利用Muskhelishvili的方法 ,得到问题的精确解。对于由电介质和导体组成的单一刚性线夹杂问题进行了分析 ,发现了联结点处的奇异性 。Two rigid line inclusions of which one is a dielectric and the other is a conductor in piezoelectric material is attributed to Riemann Hilbert problem. By using the method of Muskhelishvili, explicit expressions of the singularity coefficients of field variables are obtained. In the case of one rigid line inclusion being composed of two parts with dielectric and conductor respectively, the singularity at tips and joint is also discussed. The values of J integral are given. It is found that there exists singularity at the joint.

关 键 词：压电介质 反平面问题 导体 电介质 刚性线 J-积分值 夹杂问题 相互作用 压电材料 能量-动量张量 

分 类 号：TM22[一般工业技术—材料科学与工程] O48[电气工程—电工理论与新技术]