Bending analysis of the multi-phase nanocomposite reinforced circular plate via 3D-elasticity theory

Abstract

In this article bending response of multi-phase nanocomposite (MPC) filled by circular plates (MPCCP) in the framework of the three-dimensional elasticity model under bi-directional initially stressed (BDIS) resting on non-polynomial elastic foundation for a broad range of boundary conditions is presented. The discrete singular convolution (SS-DSC) based on state-space is provided to evaluate the bending characteristics of MPCCP by considering various boundary conditions. Halpin-Tsai model and micro-scaled fibers have been applied in the hierarchy to anticipate the properties of bulk material of the multi-scaled composites. In order to model a disk, singular point has been analyzed. The graphene platelets (GPLs) are assumed to be oriented in random directions and distributed in uniform pattern in the epoxy resin matrix. Then, to provide the influences of primary stressed, elastic substrate and a range of pressure types on the bending behavior of the MPCCP, a parametric analysis has been conducted. Computational outcomes disclose that sinusoidal load is the best pressure for improving the deformation resistances and stress of the nanocomposite circular/annular plates.