Analytical Solution for Simply Supported and Multilayered Magneto-Thermo-Electro-Elastic Plates

An analytical solution for simply supported and multilayered magneto-thermo-electro-elastic plates is presented in this study. The fundamental theory was derived based on the generic first-order transversely shearable deformation shell theory involving Codazzi-Gauss geometrical discretion, in which this fundamental equation and its boundary conditions were strenuously derived using Hamilton's principle. Then the developed theory was applied to plate of rectangular plane-form, at which the Navier’ solution procedure for the response was derived and its mode shapes were evaluated in the simply supported boundary condition. Moreover, the theory is intended for a wide range of common smart materials. Thus, among the entire primary variable the center deflection was selected for validation and verification purpose and studied for four different laminations schemes. Whereas, the result has shown a close agreement with those of higher order shear deformation theory that obtained from literature