Numerical modeling of the magnetoelectric effect in magnetostrictive piezoelectric bilayers

A numerical modeling of the magnetoelectric (ME) effect in the bilayer structures lead zirconate titanate (PZT)/lanthanum strontium manganite (LSMO), PZT/nickel ferrite (NFO) and PZT/cobalt ferrite (CFO) is investigated for both static and dynamic behaviors. Mainly, this work focuses on the ME coupling of the rectangular bilayer structures at the electromechanical resonance (EMR) and predicts a resonance frequency that is found to increase with the decrease of length and the rise of PZT volume fraction. The calculated ME voltage coefficients versus frequency profiles for these three samples show a strong resonance character and the values at the EMR are about 200 times the values far from the EMR state. The estimated resonance frequencies are both at about 120 kHz for 15-mm-long NFO/PZT and CFO/PZT bilayers with PZT volume fraction v=0.25. Furthermore, the relevant experiments were carried out to verify the numerical results.