Parametric study of three-dimensional bending and frequency of FG-GPLRC porous circular and annular plates on different boundary conditions

Abstract

Due to important role of composite materials in broad spectrum of applications, this article focused on bending and frequency characteristics of a functionally graded graphene platelet (GPL) reinforced composite (FG-GPLRC) porous circular/annular plates with various boundary conditions by employing state-space differential quadrature method (DQM). The material properties of piece-wise graphene-reinforced composites are assumed to be graded in the thickness direction of a circular/annular plates and are estimated through the modified Halpin-Tsai micromechanics model. Equations of motion are established within the framework of theory of elasticity and are formulated along the thickness direction in the form of state-space. Applying DQM along the radial direction provides a semi-analytical solution to bending and free vibration of the plate. The results of applying present approach are validated by comparing them with those reported in the literature. A thorough parametric investigation is conducted on the effects of different GPLs distributions integrated with various distribution patterns of internal porosity, thickness to radius ratio, outer to inner radius ratio, GPLs weight fraction, porosity coefficient and edge boundary conditions on the bending and frequency behavior of FG-GPLRC circular/annular plates. The results reveal a very useful practical designing hint that locating more GPLs in the vicinity of the upper and bottom surfaces of the circular/annular plates with lower outer radius to thickness ratio leads to the highest natural frequencies beside the lowest deflections in comparison with other configurations. This study could be beneficial for engineers designing and analyzing composite structures as the mainstay of high-performance devices.