A novel quasi-3D refined HSDT for static bending analysis of porous functionally graded Plates

In this paper a quasi-three-dimensional (3D) refined using a novel higher-order shear deformation theory is developed to examine the static bending with two different type porosity distribution of porous for advanced composite plates such as functionally graded plates. In this present theory, the number of unknowns and governing equations is reduced, takes into account the thickness stretching effect into transverse displacement, bending and shear, using a new shape function. The used plate theory approach satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor and the transverse shear strain and shear stress have a parabolic distribution across the thickness of the plates. The virtual work principle is used to obtain the equilibrium equations. An analytical approach based on the Navier solution is employed to obtain the solution for static bending of simply supported FGM plates. The proposed theory shows a good agreement for static bending of FGM plates with other literature results has been instituted of advanced composite plates. Numerical results are presented to show the effect of the material distribution, the power-law FG plates, the geometrical parameters and the porosity on the deflections and stresses of FG plates.