Abstract
In this communication, the state space method is used to analyze the static behavior of laminated magneto-electro-elastic rectangular plates with simply supported boundary conditions based on an elastic support. The mathematical formulation is elaborated in a general form and an arbitrary number of layers as well as the orthotropic behavior can be considered. The methodology is based on the mixed formulation, in which basic unknowns are formed by collecting displacements, stresses, electrical displacements, electrical potential, magnetic induction and magnetic potential. As special case, multilayered rectangular plate is analyzed under the surface loading with simply supported boundary conditions based on an elastic support. The procedure of calculation shows that the formulation presented here is simple and direct.
Highlights
The multilayered magneto-electro-elastic plates are in nowadays an important component in recent smart and intelligent structures
We derived an analytical 3D solution for the static behavior of multilayered magnetoelectro-elastic plate with supported boundary conditions based on a Winkler-Pasternak elastic foundation
A methodological approach to analyze the static behavior of multilayered magnetoelectro-elastic plates has been presented for structures with supported boundary conditions based on an elastic support
Summary
The multilayered magneto-electro-elastic plates are in nowadays an important component in recent smart and intelligent structures. Wang [2,3] have developed an exact 3D solution for the static behavior of multilayered magneto-electro-elastic plate subjected to mechanical and electrical loading [2] They have studied the free vibration of the same plate after applying the electric potential on the top and on the bottom surfaces of the plate [3]. In this communication, we derived an analytical 3D solution for the static behavior of multilayered magnetoelectro-elastic plate with supported boundary conditions based on a Winkler-Pasternak elastic foundation. Out of the orthotropic axis of the layer j, the behavior laws of magneto-electro-elastic materials are [4]: xx yy zz
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