Abstract
By using the asymptotic analysis method as regards two-scale convergence we derive the effective behavior of a fine mixing of piezoelectric material and piezomagnetic material. It can be shown that an electromagnetic coupling arises only when each phase is connected and the interface is electrically and magnetically impermeable.
Highlights
Developing smart materials or multifunctional structures by using product properties of composite materials is a quite old idea but it, keeps getting more and more interesting for many technological applications
We focus on the magnetoelectric coupling emerging in a composite material made of a magnetostrictive phase and a piezoelectric phase
It is of interest to propose an efficient and accurate modeling of the behavior of a composite material made of a piezoelectric phase and a piezomagnetic phase
Summary
Developing smart materials or multifunctional structures by using product properties of composite materials is a quite old idea but it, keeps getting more and more interesting for many technological applications. We will consider a body occupying a domain of R3 with a Lipschitz-continuous boundary ∂Ω made of a purely piezoelectric phase occupying Ωeε := Ω ∩ Eeε and a purely piezomagnetic phase occupying Ωmε := Ω ∩ Emε .
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