Plane Magneto-Electro-Elastic Moduli of Fiber Composites with Interphase

Abstract

In the present article, using the asymptotic homogenization method (AHM), the derivation of the plane effective properties for three-phase magneto-electro elastic fiber unidirectional reinforced composite with hexagonal and square cell symmetry is reported. Closed form of the analytical expressions and universal relations for the effective coefficients are given. Matrix and inclusion materials belong to symmetry class 6mm [1] (the number of independent components are five elastic, three piezoelectric, two dielectric, three piezomagnetic, and two magnetic). Numerical calculations for all plane effective properties are done. Some comparisons with other theoretical models are presented.

Keywords:

• effective properties
• fiber composite
• magneto electro elastic
• three-phase

Acknowledgments

This work was supported by the Program of Academic Stays 2009, “Defects in sensors and dynamic of magnetic-electro-elastic composite,” CoNaCyT-México and the CoNACyT project No. 82474. The funding of CoNaCyT project number 129658 is gratefully acknowledged. Thanks go to the Department of Mathematics and Mechanics IIMAS-UNAM for their support and Ramiro Chávez Tovar and Ana Pérez Arteaga for computational assistance. Thanks to the Institute of Engineering Mechanics, School of Civil Engineering, Beijing Jiaotong University, for the support given in the realization of this work.