Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases
Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases
复制标题
DOI：
10.1016/s0020-7683(99)00116-x
复制
发表时间：
2000-05
影响因子：
3.6
通讯作者：
Tsung-Lin Wu;Jin H. Huang
中科院分区：
文献类型：
--
作者：
Tsung-Lin Wu;Jin H. Huang
压电-压磁智能复合材料中的磁电耦合效应是一种新的产品特性，它并不存在于每一个组分中，本文提出了一种分析方法来研究这种效应。基于本征应变公式和Mori-Tanaka理论，得到了复合材料的电磁弹性Eshelby张量和有效材料性质。特别是当复合材料的基体和夹杂物均为横观各向同性且具有不同的磁电弹性模量时，以及夹杂物为椭圆柱、圆柱、圆盘和带状时，得到了磁电耦合系数的简单封闭解。这些解是夹杂物形状、相性质和夹杂物体积分数的函数。此外，推导出的简单表达式还表明，磁电耦合系数为零的夹杂物的体积分数趋于零或1。这证实了磁电耦合系数在复合材料的每一相中都不存在。
This paper presents an analytical method to investigate the magnetoelectric coupling effect that is a new product property of piezoelectric–piezomagnetic intelligent composites since it is not present in each constituent. Based on the eigenstrain formulation and the Mori–Tanaka theory, the magneto–electro–elastic Eshelby tensors and the effective material properties of the composite are obtained explicitly. Particularly when both the matrix and the inclusions of the composite are transversely isotropic with different magneto–electro–elastic moduli, and shapes of inclusions are of elliptical cylinder, circular cylinder, disk, and ribbon, simple and closed-form solutions for the magnetoelectric coupling coefficients are acquired. The solutions are a function of the shape of inclusion, phase properties, and volume fraction of inclusions. Moreover, the derived simple expressions also show that the magnetoelectric coupling coefficients vanish as the volume fraction of inclusions tends to zero or one. This verifies that the magnetoelectric coupling coefficients are absent in each phase of the composite.