三维编织压电陶瓷基复合材料有效电弹性性能有限元分析

摘要

Based on the microstructure of three-dimensional (3-D) braided perform,the electro-elastic coupling field volume average theory and finite element method,the effective electro-elastic properties of 3-D braided piezoelectric ceramic matrix composites are studied,and a finite element model of 3-D braided piezoelectric ceramic matrix composites in displacement-electric coupling field is established.By applying the displacement load and electric load boundary conditions to the representative volume element of the composites,the effective elastic coefficients,piezoelectric coefficients and dielectric coefficients of 3-D braided piezoelectric ceramic matrix composites with different fiber volume fraction are predicted.Numerical results illustrate that 3-D braided piezoelectric ceramic matrix composites can improve the overall mechanical properties of the piezoelectric ceramic significantly,and the good electrical properties are maintained.%基于三维编织预制件的细观结构,建立了三维编织压电陶瓷基复合材料位移-电耦合场有限元模型,利用电弹性场体积平均思想和有限元方法研究了周期分布三维编织压电陶瓷基复合材料的有效电弹性性能.通过对代表性体积单元施加位移载荷和电载荷边界条件,预测了不同纤维体积分数下三维编织压电陶瓷基复合材料的有效弹性常数、压电常数和介电常数.计算结果表明,三维编织压电陶瓷基复合材料可显著改善压电陶瓷的整体力学性能,且保持了较好的电学性能.