Large deflection of magneto-electro-elastic laminated plates

摘要

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 kinemat-ical 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 BaTiO_3 and piezomagnetic CoFe_2O_4 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.