Theory of linear and nonlinear magnetoelectric effect in samples from laminated composite multiferroic disc – shaped

The article presents the theory of linear and nonlinear magnetoelectric effect in layered piezo- magnetostrictive multiferroic, built on the basis of the decisions of the constitutive equations and the equations of motion of the medium for the piezoelectric and magnetostrictive subsystems separately, taking into account the boundary conditions at the interface. It is shown that in weak bias magnetic fields, the value of the non-linear effect is comparable with linear, and along with the main resonance, there is additional resonance. The magnitude of the resonance amplitude is independent of the value bias magnetic field and is excited at the frequency of the magnetic field twice at the main resonance frequency.