A Transversely Isotropic Magneto-Electro-Elastic Circular Kirchhoff Plate Model Incorporating Microstructure Effect

A non-classical model for transversely isotropic magneto-electro-elastic circular Kirchhoff plates is established based on the extended modified couple stress theory. The Gibbs-type variational principle used to obtain governing equations and boundary conditions. To illustrate newly derived model, static bending problem of a clamped plate subjected uniformly distributed constant load solved numerically by Fourier–Bessel series. numerical results show that values transverse displacement, electric magnetic potentials predicted current are always smaller than those classical differences diminishing as thickness increases. In addition, it shown coupling effect plays an important role in potential plates. Furthermore, several reduced specific models provided simpler cases.