Eur. Phys. J. Plus (2020) 135: 910
https://doi.org/10.1140/epjp/s13360-020-00905-8

Regular Article

2D magnetic field effect on the thermal buckling of metal foam nanoplates reinforced with FG-GPLs lying on Pasternak foundation in humid environment

Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa, 31982, Saudi Arabia

^* e-mail: mabazid@kfu.edu.sa
^** e-mail: mhdabazid@gmail.com

Received: 30 August 2020
Accepted: 30 October 2020
Published online: 16 November 2020

Abstract

This paper is devoted to illustrate the thermal buckling response of a graphene platelets (GPLs)-reinforced nanoplate with porosities lying on Pasternak’s foundation. The porous nanocomposite plate is exposed to 2D magnetic field and humid environment. In accordance with a nonlinear distribution law, the porosities and GPLs weight fraction are presumed to be varied through the nanoplate thickness. The modified Reddy’s plate theory containing the thickness stretching effect is employed with the nonlocal strain gradient theory to deduce the governing equations from the principle of virtual displacement. These equations are solved utilizing Navier type solution to obtain the critical buckling temperature. To check the accuracy of the present analysis, the deduced buckling temperature is compared with that published in the literature. Additional parametric studies are introduced to investigate the impacts of humidity, magnetic field, porosity factor, GPLs weight fraction and foundation stiffnesses on the critical buckling temperature of the FG GPLs nanoplates.