Nonlinear magnetoelectric transient responses of a circular-shaped magnetoelectric layered structure

The nonlinear magnetoelectric (ME) transient responses and the frequency-multiplying behavior of a circular-shaped magnetoelectric layered structure are investigated by using a 2D nonlinear mechanical-magnetic coupling constitutive relation. The general analytical expressions for the ME coefficient in T-T and C-T modes have been obtained for circular-shaped magnetoelectric layered circular structures. The results indicate that the ME coefficient and the induced electric field exhibit a higher-order response mode for the nonlinear ME materials under strong applied magnetic fields. The amplitude of the applied magnetic field and the volume fraction of the piezoelectric layer have a significant influence on the ME coefficient. There exists an optimal piezoelectric layer volume fraction and an applied magnetic field at which the ME response coefficient is maximal. In addition, at high magnetic field frequencies, the ME voltage coefficient exhibits multiple peaks at different piezoelectric layer volume fractions.