Nonlinear Bending of Sandwich Plates with Graphene Nanoplatelets Reinforced Porous Composite Core under Various Loads and Boundary Conditions

Xudong Fan, Aiwen Wang (), Pengcheng Jiang, Sijin Wu and Ying Sun
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Xudong Fan: School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
Aiwen Wang: School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
Pengcheng Jiang: School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
Sijin Wu: School of Instrument of Science and Opto Electronics Engineering, Beijing Information Science and Technology University, Beijing 100192, China
Ying Sun: School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China

Mathematics, 2022, vol. 10, issue 18, 1-19

Abstract: The nonlinear bending of the sandwich plates with graphene nanoplatelets (GPLs) reinforced porous composite (GNRPC) core and two metal skins subjected to different boundary conditions and various loads, such as the concentrated load at the center, linear loads with different slopes passing through the center, linear eccentric loads, uniform loads, and trapezoidal loads, has been presented. The popular four-unknown refined theory accounting for the thickness stretching effects has been employed to model the mechanics of the sandwich plates. The governing equations have been derived from the nonlinear Von Karman strain–displacement relationship and principle of virtual work with subsequent solution by employing the classical finite element method in combination with the Newton downhill method. The convergence of the numerical results has been checked. The accuracy and efficiency of the theory have been confirmed by comparing the obtained results with those available in the literature. Furthermore, a parametric study has been carried out to analyze the effects of load type, boundary conditions, porosity coefficient, GPLs weight fraction, GPLs geometry, and concentrated load radius on the nonlinear central bending deflections of the sandwich plates. In addition, the numerical results reveal that the adopted higher order theory can significantly improve the simulation of the transverse deflection in the thickness direction.

Keywords: nonlinear bending; graphene nanoplatelets reinforced porous sandwich plates; various loads; four-unknown refined theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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