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

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.