含椭圆刚性夹杂压电材料反平面问题的电弹分析

Antiplane Analysis of a Piezoelectric Material Containing an Elliptical Rigid Inclusion

应用保角变换和Ｌａｕｒｅｎｔ级数展开方法，得到集中力和点电荷作用下含椭圆刚性夹杂压电材料反平面问题的电弹解。在此基础上，着重分析了刚性线夹杂端部电弹场的性态，结果表明，在刚性线夹杂端部，应变、应力和电场强度呈现出逆方根的奇异性，而电位移没有奇异性。

In this paper,the electro elastic solutions for a piezoelectric material containing an elliptical rigid inclusion under a concentrated force and a point charge are derived by unsing the conformal mapping and lauren's series expansion.Particular attention is paid to analyzing the properties of electro elastic fields at the tips of the rigid line inclusion.The results show that the strain,stress and electric field strength exhibit the traditional square root singularity while the electric displacement has no singularity.