Effect of normal vibration on the dynamic flexoelectric response of a thin dielectric plate with symmetrical electrode thickness

In this paper, we investigate the effect of thickness-normal vibration on the dynamical flexoelectric effect induced in a thin dielectric plate covered by two electrodes with either equal or unequal thicknesses. Firstly, we introduce the general form of the dynamical field equations and boundary conditions. Secondly, we transform these equations into a nondimensional form. Finally, we apply a low-frequency wave of mechanical or electric potential to the upper and lower surfaces of the plate, with the objective of studying the flexoelectric and converse flexoelectric effects. The results are plotted and analyzed graphically. The most relevant results are summarized as follows, the microinertia effect significantly influences the polarization within dielectrics. When microinertia is neglected, the polarization value is higher compared to when the microinertia effect is included. Additionally, the polarization value increases when the length scale parameter associated with the microinertia effect exceeds the length scale parameter of the internal structures of the material.