Static, natural frequency and dynamic analyses of functionally graded porous annular sector plates reinforced by graphene platelets

In this article, static, dynamic and natural frequency analyses of functionally graded porous annular sector plate reinforced by graphene nanoplatelets are investigated for the first time. The plate is a composition of a layered model with uniform or nonuniform dispersion of graphene platelets in a metallic matrix including open-cell interior pores. The extended rule of mixture and the modified Halpin-Tsai models are applied to estimate the effective properties of the porous nanocomposite plate. Three different kinds of porosity distributions are considered through the thickness direction of plate that are, uniform and two kinds of symmetric functionally graded distributions. Also, three different types of GPL dispersion patterns are considered across the thickness direction of plate. Hamilton's principle based on first shear deformation plate theory and finite element method are used to derive the governing equations of motion. The effects of various factors such as different distribution of porosity, porosity coefficient, GPL dispersion patterns, and weight fraction of GPL nanofiller, boundary conditions and sector angles on natural frequency, static and transient responses of the plate have been investigated.