Nonlinear Responses of Rectangular Magnetoelectroelastic Plates with Transverse Shear Deformation

Yu Fang Zheng; Tao Chen; Feng Wang; Chang Ping Chen

doi:10.4028/www.scientific.net/KEM.689.103

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Nonlinear Responses of Rectangular Magnetoelectroelastic Plates with Transverse Shear Deformation

Abstract:

With employing the transverse shear deformation theory and von Karman plate theory, the nonlinear static behavior of a simply supported rectangular magnetoelectroelastic plates is investigated. According to the Maxwell’s equations, when applying the magnetoelectric load on the plate’s surfaces and neglecting the in-plane electric and magnetic fields in thin plates, the electric and magnetic potentials varying along the thickness direction of the magnetoelectroelastic plates are determined. The nonlinear differential equations for magnetoelectroelastic plates are established based on the Hamilton’s principle. The Galerkin procedure furnishes an infinite system of differential equations into algebraic equations. In the numerical calculations, the effects of the nonlinearity and span-thickness ratio on the nonlinear load-deflection curves and electric/magnetic potentials for magnetoelectroelastic plates are discussed.