用于模拟压电复合材料平面问题的边界点法

2-D simulation of electrostatic properties of piezoelectric composites using the boundary node method

针对含规则形状夹杂的压电复合材料平面问题,将边界点法和重复相似子域法相结合,实现了一种用于含有大量圆形夹杂的横观各向同性压电复合材料的分析方法,并通过相应的计算模型求得压电复合材料的等效材料性质。数值算例表明该方法具有很高的精度和一定的可行性。由于边界点法具有高精度的特性以及能对所有的内部夹杂边界进行离散,因此,很容易将该文方法扩展应用于分析含任意形状夹杂的压电复合材料。

The boundary node method was used for a 2-D numerical analysis of a piezoelectric composite material with regular shaped inclusions using the repeated similar sub-domain approach. The boundary node method was used to simulate the effective electroelastie properties of transverse isotropic piezoelectric composites with randomly distributed circular inclusions. Numerical examples show that the results are accurate with the dimension reduction inherent in the boundary element method. The boundary node method is a promising approach for analyzing piezoelectric composites with large numbers of both regular and irregular inclusions.