A new nanocomposite is proposed and evaluated via the free vibration and buckling analyses of plate structures. These nanocomposite plates are manufactured by incorporating graphene platelets (GPLs) into a conventional functionally graded matrix, with the aim of enhancing their overall stiffness. In the present study, the matrix phase is graded along the thickness direction according to the power-law distribution of the constituents, whereas various GPL dispersion patterns along the thickness direction are considered. Based on the novel four-unknown refined plate theory and Hamilton’s principle, the governing equations of motion of the plate are developed. The Navier-type solution scheme is then adopted to obtain the natural frequency and critical buckling load of the nanocomposite plate. Finally, a selected set of results is reported to evaluate the performance of this novel nanocomposite model.
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