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Shokrollahi, H., Beigpour, R. (2022). Nonlinear Bending Analysis of Nanocomposite Beams Reinforced by Graphene Platelets using Harmonic Differential Quadrature Method. , 33(2), 23-40. doi: 10.22067/jacsm.2022.75118.1095
Hassan Shokrollahi; Reza Beigpour. "Nonlinear Bending Analysis of Nanocomposite Beams Reinforced by Graphene Platelets using Harmonic Differential Quadrature Method". , 33, 2, 2022, 23-40. doi: 10.22067/jacsm.2022.75118.1095
Shokrollahi, H., Beigpour, R. (2022). 'Nonlinear Bending Analysis of Nanocomposite Beams Reinforced by Graphene Platelets using Harmonic Differential Quadrature Method', , 33(2), pp. 23-40. doi: 10.22067/jacsm.2022.75118.1095
Shokrollahi, H., Beigpour, R. Nonlinear Bending Analysis of Nanocomposite Beams Reinforced by Graphene Platelets using Harmonic Differential Quadrature Method. , 2022; 33(2): 23-40. doi: 10.22067/jacsm.2022.75118.1095

Nonlinear Bending Analysis of Nanocomposite Beams Reinforced by Graphene Platelets using Harmonic Differential Quadrature Method

علوم کاربردی و محاسباتی در مکانیک
Volume 33, Issue 2 - Serial Number 26, March 2022, Pages 23-40    PDF (1.51 M)
Document Type: Original Article
DOI: 10.22067/jacsm.2022.75118.1095
Authors
Hassan Shokrollahi* 1; Reza Beigpour2
1Mechanical Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran.
2Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran
Abstract
The nonlinear bending analysis of a composite beam reinforced by graphene platelets (GPL) nanofillers having nonuniform distribution through the thickness, is presented. Governing nonlinear differential equations are derived based on the first order shear deformation theory with the aid of minimum potential energy principle. The nonlinear differential equations are solved using harmonic differential quadrature method (HDQM). The modified Halpin-Tsai model is implemented to determine the effective Young’s modulus of graphene platelet reinforced composite (GPLRC) beams. Moreover, the rule of mixture is used for definition of the effective Poisson’s ratio. At first, conventional nanocomposite beams are studied for evaluation of the applicability of the proposed method for nonlinear bending analyses. Then for the beams reinforced by graphene platelets, the effects of some parameters including boundary conditions, number of layers, weight fraction and distribution pattern of graphene platelet on the nonlinear bending characteristics of the GPLRC beams, are investigated. This study shows the capability of the proposed method to solve the nonlinear problems and to get the beams behavior under bending loading. In addition, by increasing the weight fraction of graphene platelets in the beam, the bending strength of the beam improves and the beam deflection decreases. Moreover, increasing the number of layers for GPLRC tends to smoother variation of stress through the beam thickness.
Keywords
Beam nonlinear analysis; bending analysis; nanocomposite beams; graphene platelets; harmonic differential quadrature method
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