Large deflection of magneto-electro-elastic laminated plates

Abstract

A model for the large deflection analysis of magneto-electro-elastic laminated plates is derived. The first order shear deformation theory and the von Karman stress function approach are employed. A set of resolving partial differential equations involving kinematical variables and the stress function is obtained as a consequence of the preliminary condensation of the electro-magnetic state to the plate kinematics. A closed form solution for simply-supported plates is presented. Numerical results are carried out for plates consisting of piezoelectric BaTiO3 and piezomagnetic CoFe2O4 layers. These results show the influence of large deflections on the plate response and could be useful in the analysis and design of layered magneto-electro-elastic composite plates. © 2013 Elsevier Inc.