Abstract
The modified couple stress theory (MCST) is applied to analyze axisymmetric static bending, elastic buckling, and free vibration behaviors of circular/annular microplates made of bi-directionally functionally graded (BiFG) materials. The material properties of functionally graded (FG) microplates are assumed to vary along both through-the-thickness and through-the-radius directions. The differential governing equation and boundary conditions are derived through the Hamilton's principle, and expressed in nominal form with the introduced nominal variables. The generalized differential quadrature method is applied to discretize the differential governing equation and boundary conditions. The bending deflection can be obtained through solving a set of linear equations, while buckling loads and vibration frequencies can be determined through solving general eigenvalue problems. The current model is verified with those existed in literature. Selected numerical results are illustrated to indicate the effects of material length scale parameter, FG material indices and inner-to-outer radius ratio on the bending deflection, buckling loads and free vibration frequency of BiFG circular/annular microplates subjected to different boundary conditions.
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