Mechanical behavior of porous functionally graded plates

In this study, the effect of porosity distribution pattern on the bending and free vibration analysis of porous FG plates is studied by using sinusoidal shear deformation theory. This theory account for sinusoidal variation of transverse shear strain through the depth of the plate and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factors. The material properties of the plate and the porosities within the plate are considered to vary continuously through the thickness direction according to the volume fraction of constituents defined by the modified rule of the mixture, this includes porosity volume fraction with four different types of porosity distribution over the cross-section. The governing partial differential equation of motion for the bending and free vibration analysis is obtained using sinusoidal shear deformation theory. An analytical solution is presented for the governing equation. Results of the presented solution are compared and validated by the available results in the literature. Moreover, the effects of material and porosity distribution and geometrical parameters on bending and free vibrational properties are investigated.