Static deformation of anisotropic layered magnetoelectroelastic plates based on modified couple-stress theory

Based on the modified couple-stress theory, the static deformation of anisotropic layered magnetoelectroelastic (MEE) plates under surface loading is investigated. The general solutions for the extended displacement and traction vectors in a simply supported and homogeneous MEE plate are derived by solving an eigenvalue problem reduced from the governing equations. Utilizing the propagator matrix method, analytical solutions of anisotropic layered MEE plates are then obtained by assuming that the layer interfaces are continuous. Numerical examples for four sandwich plates made of piezoelectric BaTiO3 and magnetostrictive CoFe2O4 are provided to illustrate the effect of the material length parameter and stacking sequence of the plates on the mechanical, electric and magnetic fields.