Electroelastic behavior of doubly periodic piezoelectric fiber composites under antiplane shear

Electroelastic behavior of doubly periodic piezoelectric fiber composites under antiplane shear
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双周期压电纤维复合材料反平面剪切下的电弹性行为

DOI:
10.1016/j.ijsolstr.2006.05.033
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发表时间:
2007-02
影响因子:
3.6
通讯作者:
Lo, S. H.
Lo, S. H.
中科院分区:
工程技术2区
文献类型:
--
作者:
Cheung, Y. K.;Xu, Y. L.;Jiang, C. P.;Lo, S. H.

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研究了双周期平行四边形排列压电纤维复合材料在反平面剪切和面内电载荷耦合作用下的力学行为。利用双准周期Riemann边值问题理论,结合本征应变和本征电场的概念,发展了一种严格的解析方法。数值计算结果与有限元计算,实验数据和细观力学分析进行了比较,以证明本方法的效率和准确性。随后,本解决方案用于研究压电纤维复合材料中的两个重要课题,即,(1)微观结构中的应力和电场波动;(2)宏观有效电弹性模量。讨论了复合材料的宏观性能与其微观结构参数之间的关系,揭示了许多有趣的电弹相互作用现象,这对压电复合材料性能的评估和优化是有用的。
The piezoelectric composites with a doubly periodic parallelogrammic array of piezoelectric fibers are dealt with under antiplane shear coupled with inplane electrical load. A rigorous analytical method is developed by using the doubly quasi-periodic Riemann boundary value problem theory integrated with the eigenstrain and eigen-electrical-field concepts. The numerical results are presented and a comparison with finite element calculations, experimental data and micromechanical analysis is made to demonstrate the efficiency and accuracy of the present method. Subsequently, the present solutions are used to study two important topics in piezoelectric fiber composites, i.e., (1) stress and electrical field fluctuations in the microstructure, (2) the macroscopic effective electroelastic moduli. The relation between the macroscopic properties of the composites and their microstructural parameters is discussed and many interesting electroelastic interaction phenomena are revealed, which are useful to estimate and optimize the performance of piezoelectric composites.
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