Theoretical Modeling of ME effect at Low frequency and Resonance Frequency for Magnetoelectric Laminates with Anisotropic Piezoelectric Properties

TL;DR

This paper develops a theoretical model for the magnetoelectric effect in anisotropic piezoelectric laminates, deriving expressions for ME voltage coefficients at low and resonance frequencies, validated by numerical simulations and experiments.

Contribution

It introduces a new theoretical framework accounting for anisotropic piezoelectric properties in ME laminates, applicable to various materials.

Findings

Multiple resonance frequencies identified

Good agreement between theory and experimental results

Phase differences in ME voltage coefficients observed

Abstract

A new theory is developed for the magnetoelectric (ME) coupling in a symmetric 2-2 ME laminate having a representative piezoelectric crystal (PMN-PT) particularly with anisotropic piezoelectric properties. Considering the average field method, the theoretical expressions for the transverse ME voltage coefficients at low and resonance frequencies were derived. The theory takes into account the anisotropic properties of the piezoelectric materials providing two different expressions of transverse ME voltage coefficients for different in-plane magnetic fields both at low and resonance frequencies. The numerical simulations show multiple resonance frequencies and phase differences between transverse ME voltage coefficients showing good agreement with the experimental results. Our theory should be generally applicable to other ME laminates with any piezoelectric with anisotropic piezoelectric coefficients.