MODELING AND NUMERICAL SIMULATION OF THE STATIC BEHAVIOR OF MAGNETO-ELECTRO-ELASTIC MULTILAYER PLATES BASED ON A WINKLER-PASTERNAK ELASTIC SUPPORT

In this paper, 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 a special case, a multilayered rectangular plate is analyzed under the surface loading with simply supported boundary conditions based on an elastic support. The mathematical procedure, elaborated in this paper, allows the study of the effects of the elastic support parameters on the static behavior of these materials. The effectiveness of the proposed methods has been demonstrated by performing variant numerical tests.