Buckling and free vibration of magnetoelectroelastic nanoplate based on nonlocal theory

Buckling and free vibration of magnetoelectroelastic nanoplate resting on Pasternak foundation is investigated based on nonlocal Mindlin theory. The in-plane electric and magnetic fields can be ignored for nanoplates. According to Maxwell equations and magnetoelectric boundary conditions, the variation of electric and magnetic potentials along the thickness direction of the nanoplate is determined. Using the Hamilton's principle, the governing equations of the magnetoelectroelastic nanoplate are derived. Numerical results reveal the effects of the electric and magnetic potentials, spring and shear coefficients of the Pasternak foundation on the buckling load and vibration frequency. These results can serve as benchmark solutions for future numerical analyses of magnetoelectroelastic nanoplates.