A New Quasi-3D Model for Functionally Graded Plates

This article investigates the static behaviour of functionally graded plate under mechanical loads using a new quasi 3D model. The theory is designated as fifth-order shear and normal deformation theory (FOSNDT). Properties of functionally graded material are graded across the transverse direction using rule of mixture i.e. power law. The effect of thickness stretching is considered to develop the present theory. In this theory, axial and transverse displacement components involve fifth-order and fourth order shape functions respectively to evaluate shear and normal strains. The theory involves nine unknowns. Zero transverse shear stress conditions are satisfied using constitutive relations. Analytical solutions are obtained using double Fourier series technique. The results predicted by the FOSNDT are compared with existing results. It is pointed out that the present theory is helpful for accurate structural analysis of isotropic and functionally graded plates compared to other plate models.