Static and Dynamic Analysis of Functionally Graded Skew Plates

The static and dynamic analysis of functionally graded material (FGM) skew plates under mechanical load is studied. The FEM formulation based on a third-order shear deformation (TOSD) theory that does not require any shear correction factor is used in the analysis. The C1 continuity requirement of the higher-order theory has been overcome in this study by adopting a C0 continuous isoparametric Lagrangian element with seven degrees of freedom at each node. The Mori-Tanaka homogenization scheme is used to estimate the effective properties of the constituents, and it is assumed that mechanical properties vary according to a power-law distribution of the volume fraction of the constituents. The efficiency of the present model has been validated by comparing the results obtained with those available in the literature. The effects of skew angle, boundary conditions, volume-fraction exponent, loading conditions, aspect ratio, thickness ratio, and other parameters on deflection, natural frequency, and critical buckling load of functionally graded skew plates are reported for the first time based on TOSD that can serve as the benchmark for future research.