3-D elasticity numerical solution for magneto-hygrothermal bending of FG graphene/metal circular and annular plates on an elastic medium

Abstract

Three-dimensional (3-D) asymmetric and axisymmetric bending analyses of solid circular and annular plates lying on an elastic medium with different boundary conditions are presented in this article. The present nanocomposite circular and annular plates are made of aluminum (Al) matrix reinforced with graphene platelets (GPLs) that uniformly distributed or functionally graded (FG) through the thickness. This model is exposed to transverse external load, thermal load and humid conditions as well as in-plane magnetic field. Lorentz magnetic force is obtained by applying Maxwell's equations. While, the temperature and moisture, along the transverse direction, are deduced by solving the one-dimensional heat conduction and moisture diffusion equations, respectively. The governing equations are established based on the three-dimensional elasticity theory. By applying the differential quadrature method (DQM) along both radial and thickness directions, the solution of magneto-hygrothermal bending of the circular and annular plates is obtained. Convergence and comparison investigations are introduced to illustrate the precision and validity of the present solution. The present paper aims to deduce the displacements and stresses of the FG graphene/metal circular and annular plates employing the DQM. Moreover, various parametric studies are presented to investigate the effects of outer-to-inner radius ratio, thickness to radius ratio, weight fraction of GPLs, boundary conditions, elastic foundation parameters, temperature, moisture concentrations on the stresses and displacements of the present model.