Theoretical modeling of frequency-dependent magnetoelectric effects in laminated multiferroic plates

The recently derived 2-D equations for extensional, flexural, and thickness-shear motions of laminated plates of piezoelectric/piezomagnetic layers are employed in the analysis of the frequency dependence of magnetoelectric couplings in laminated plates of piezoelectric and piezomagnetic layers driven by time-harmonic magnetic fields. Four structures are analyzed. Two are symmetric about the middle plane and are for extensional motions. The other 2 are antisymmetric about the middle plane and are for flexural motions. Frequency-dependent magnetoelectric effects are calculated and compared. Near resonances, the time-dependent magnetoelectric coupling coefficients are found to be much larger than the static magnetoelectric coupling coefficients.