Free and forced thermomechanical vibration and buckling responses of functionally graded magneto-electro-elastic porous nanoplates

The novelty of this study is to model and investigate the free and forced thermal vibration and buckling behaviors of a porous functionally graded magneto-electro-elastic (MEE) nanoplate made of barium-titanate and cobalt-ferrite and subjected to moving loads. In the modeling, the strains are assumed to originate from classical mechanics, thermal expansion, electroelastic, and magnetostrictive properties, nonlocal elasticity, and strain gradient elasticity, and the motion equations of MEE nanoplate are obtained by Hamilton's principle Considering various cases, the effects of thermal stresses, magneto-electro-elastic coupling, externally applied electric and magnetic field potential, nonlocal properties (nonlocal and material size parameters), porosity volume fraction on the free vibration and buckling behavior have been studied. Additionally, the forced response to the moving load for various cases of the velocity of the load is also investigated. It is observed that the free-response and buckling of the nanoplate vary with the material composition, externally applied electrical and magnetic fields, temperature rise, and porosity volume fraction. Furthermore, it is also noticed that the velocity of the load is the most influential factor in the forced response of the MEE nanoplate. Moreover, the material composition of the nanoplate characterizes the magneto-electro-elastic response depending on the amounts of barium-titanate (electro-elastic) and cobalt-ferrite (magnetostrictive). The stiffness of the MEE nanoplate can be controlled by regulating the intensities of electric and magnetic fields. This property can keep the bending and buckling stability of the nanoplate exposed to severe thermal and high-speed moving loads.