Finite element analysis of graphene-reinforced functionally graded beams based on layered method

doi:10.19936/j.cnki.2096-8000.20220128.002

Abstract

Abstract: Based on the idea of layered method, the finite element analysis of graphene-reinforced functionally graded beam is carried out in this paper. In the layered model of finite element calculation, the material parameters of each layer are constant, and the values of those material parameters are calculated according to the modified Halpin Tsai model. Then, the finite element modeling and mechanical analysis of the graphene-reinforced functionally graded beam are completed according to the standardized steps of finite element method. Numerical examples are presented to analyze the influence of the mass content, distribution patterns and size of graphene on the bending properties of the beam. Numerical results show that adding a small amount of graphene can significantly reduce the bending deflection of the beam, and distributing more graphene on the upper and lower surfaces of the beam is the most effective method to reduce the bending deflection. At the same mass content, the square graphene sheet with larger length thickness ratio can improve the bending performance of the beam more.

Key words: functionally graded beam, graphene, layered method, finite element analysis, bending deflection, composites

CLC Number:

TB332

TENG Jing-mei, HUANG Jun, HUANG Li-xin. Finite element analysis of graphene-reinforced functionally graded beams based on layered method[J]. COMPOSITES SCIENCE AND ENGINEERING, 2022, 0(1): 13-21.

References

[1] NOVOSELOV K S, GEIM A K, MOROZOV S V, et al. Electric field effect in atomically thin carbon films[J]. Science, 2004, 306(5696): 666-669.
[2] RAFIEE M A, RAFIEE J, WANG Z, et al. Enhanced mechanical properties of nanocomposites at low graphene content[J]. Acs Nano, 2009, 3(12): 3884-3890.
[3] PARK O K, KIM S G, YOU N H, et al. Synthesis and properties of iodo functionalized graphene oxide/polyimide nanocomposites[J]. Composites Part B: Engineering, 2014, 56: 365-371.
[4] ZHAO X, ZHANG Q, CHEN D, et al. Enhanced mechanical properties of graphene-based poly(vinyl alcohol) composites[J]. Macromolecules, 2010, 43(5): 2357-2363.
[5] 张勇. 功能梯度材料制备方法的研究现状[J]. 热加工工艺, 2012, 41(18): 14-16.
[6] 郭成, 朱维斗, 金志浩. 梯度功能材料的研究现状与展望[J]. 稀有金属材料与工程, 1995, 24(3): 18-25.
[7] YANG J, WU H, KITIPORNCHAI S. Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams[J]. Composite Structures, 2017, 161: 111-118.
[8] YANG B, YANG J, KITIPORNCHAI S. Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity[J]. Meccanica, 2017, 52(10): 2275-2292.
[9] YANG B, KITIPORNCHAI S, YANG Y F, et al. 3D thermo-mechanical bending solution of functionally graded graphene reinforced circular and annular plates[J]. Applied Mathematical Modelling, 2017, 49: 69-86.
[10] FENG C, KITIPORNCHAI S, YANG J. Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs)[J]. Composites Part B: Engineering, 2017, 110: 132-140.
[11] SONG M, YANG J, KITIPORNCHAI S. Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets[J]. Composites Part B: Engineering, 2018, 134: 106-113.
[12] CHEN D, YANG J, KITIPORNCHAI S. Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams[J]. Composites Science and Technology, 2017, 142: 235-245.
[13] TAM M, YANG Z, ZHAO S, et al. Vibration and buckling characteristics of functionally graded graphene nanoplatelets reinforced composite beams with open edge cracks[J]. Materials, 2019,12(9): 1-13.
[14] SONG M, GONG Y, YANG J, et al. Free vibration and buckling analyses of edge-cracked functionally graded multilayer graphene nanoplatelet-reinforced composite beams resting on an elastic foundation[J]. Journal of Sound and Vibration, 2019, 458: 89-108.
[15] YANG J, CHEN D, KITIPORNCHAI S. Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method[J]. Composite Structures, 2018, 193: 281-294.
[16] SHEN H S, LIN F, XIANG Y. Nonlinear bending and thermal postbuckling of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations[J]. Engineering Structures, 2017, 140: 89-97.
[17] WANG Y S, GROSS D. Analysis of a crack in a functionally gradient interface layer under static and dynamic loading[J].Key Engineering Materials, 2000, 183: 331-336.
[18] WANG Y S, HUANG G Y,GROSS D. On the mechanical modeling of functionally graded interracial zone with a griffith crack: Anti-plane deformation[J]. Journal of Applied Mechanics, 2003, 70: 676-680.
[19] 黄立新, 姚祺, 张晓磊, 等. 基于分层法的功能梯度材料有限元分析[J]. 玻璃钢/复合材料, 2013(2): 43-48.
[20] SIMSEK M, YURTCU H H. Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory[J]. Composite Structures, 2013, 97: 378-386.