Magnetically induced electromechanical fields in a flexoelectric composite microplate

Abstract

We studied electromechanical fields in a composite plate with flexoelectric and piezomagnetic layers. The governing equations and complete boundary conditions are proposed in terms of the couple stress theory to characterize the size-dependent effects and flexoelectric effects. The constitutive relations of centrosymmetric cubic and hexagonal crystals are both provided. To demonstrate the newly developed model, the static bending and forced vibration problems of a simply supported rectangular plate are studied with the aid of Navier’s technique. Numerical results showed that various deformed shapes and electric potential distributions in the current microplate can be effectively manipulated by varying the magnitude of magnetic fields or flexoelectric coefficients. The relevant electromechanical properties can also be adjusted by altering the thickness ratio of the piezomagnetic and flexoelectric layers, which leads to a maximum value of the displacement or electric potential for an optimal thickness ratio. This paper provides an innovative idea for non-contact flexoelectric applications when magnetic fields are involved.