Hygrothermal wave dispersion analysis of metal foam microplates strengthened by graphene embedded in a viscoelastic medium under 2D magnetic field effect

Abstract

An analytical approach is developed to investigate the influences of hygrothermal conditions on the wave dispersion in porous graphene platelets (GPLs)-reinforced microplate embedded in the visco-Pasternak foundation. The effect of a 2D magnetic field is also considered in the present analysis. The pores and GPLs weight fraction are assumed to be non-linearly varied based on various patterns of distribution along the microplate thickness direction. Following the nonlocal strain gradient theory (NSGT) and a refined plate theory (RPT) considering the thickness stretching effect, the governing equations are obtained. The GPLs material properties are calculated employing the extended Halpin–Tsai model. The equations of motion are deduced based on Hamilton's principle. These equations are then analytically solved to obtain the wave frequency and phase velocity of the waves in a microplate. The present wave frequency and phase velocity are compared with the published ones. The impacts of GPLs weight fraction, pore coefficient, temperature rise, moisture concentration, Lorentz magnetic force, and foundation stiffnesses on the wave dispersion in the FG porous-GPLs microplate are introduced and discussed.