基于柔性结点梁单元和分层法的石墨烯/环氧树脂纳米复合材料力学性能预测

doi:10.19936/j.cnki.2096-8000.20220428.003

复合材料科学与工程 ›› 2022, Vol. 0 ›› Issue (4): 18-26.DOI: 10.19936/j.cnki.2096-8000.20220428.003

基于柔性结点梁单元和分层法的石墨烯/环氧树脂纳米复合材料力学性能预测

彭昶玮¹, 黄君¹, 吴宇¹, 叶太智¹, 黄立新^1,2*

1.广西大学土木建筑工程学院,南宁530004;
2.广西大学工程防灾与结构安全教育部重点实验室,南宁530004

收稿日期:2001-07-13 出版日期:2022-04-28 发布日期:2022-06-02
通讯作者: 黄立新(1964-),男,博士, 教授,博导,主要从事复合材料结构力学等方面的研究,gxuhuanglixin@163.com。
作者简介:彭昶玮(1994-),男,硕士研究生,主要从事复合材料力学等方面的研究。
基金资助:
国家自然科学基金(12002093)

Prediction of the mechanical properties of graphene/epoxy resin nanocomposites based on flexible node beam element and layered method

PENG Chang-wei¹, HUANG Jun¹, WU Yu¹, YE Tai-zhi¹, HUANG Li-xin^1,2*

1. School of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China;
2. The Key Laboratory of Disaster Prevention and Structural Safety of the Education Ministry, Guangxi University, Nanning 530004, China

Received:2001-07-13 Online:2022-04-28 Published:2022-06-02

摘要/Abstract

摘要： 通过建立三明治代表体单元的有限元模型,对石墨烯/环氧树脂纳米复合材料进行力学性能分析与预测。在有限元建模中,采用柔性结点梁单元模拟石墨烯结构,采用分层法处理材料属性梯度变化的黏结界面层,采用8结点六面体实体单元离散环氧树脂基体。首先通过与文献给出的石墨烯杨氏模量实验值和模拟计算值对比,确定柔性结点梁单元的柔性系数,然后在不考虑黏结界面层的情况下,预测石墨烯/环氧树脂纳米复合材料的杨氏模量E_cx,预测结果与混合率(Role of Mixture,简称“ROM”)公式的计算结果非常吻合,验证了本文提出方法的正确性和可靠性。通过杨氏模量E_cx和剪切模量G_xy的数值算例,讨论了分层法处理材料属性梯度变化的黏结界面层的收敛性,结果表明当黏结界面层划到8层时,已经得到很好的收敛结果。当考虑黏结界面层时,杨氏模量E_cx的预测结果大于ROM结果,并且在黏结界面层材料属性指数函数分布情况下,E_cx计算值比ROM值更接近实验值,验证了考虑黏结界面层的必要性。

关键词: 石墨烯纳米复合材料, 柔性结点梁单元, 分层法, 有限元分析, 力学性能

Abstract: The mechanical properties of graphene/epoxy resin nanocomposites were analyzed and predicted by establishing the finite element model of sandwich representative volume element. In the finite element modeling, the flexible node beam element was used to simulate the graphene structure, the layered method was used to deal with the interfacial layer with gradient material properties, and the 8-node hexahedral solid element was used to discretize the epoxy resin matrix. According to the Young′s modulus of graphene, the flexibility coefficient of flexible node beam element was determined by comparing with the experimental value and simulation value given in the literature, and then the Young′s modulus E_cx of graphene/epoxy resin nanocomposites was predicted without considering the interfacial layer. The prediction results are in good agreement with the calculation results of the role of mixture (ROM) formula, which verifies the correctness and reliability of the proposed method. The convergence of the layered method was discussed by numerical examples of Young′s modulus E_cx and shear modulus G_xy. The results show that when the interfacial layer is divided into 8 layers, a good convergence result has been obtained. When considering the interfacial layer, the predicted Young′s modulus E_cx is larger than that of ROM, and the calculated value is closer to the experimental value than that of ROM in the case of exponential function distribution of material properties of interfacial layer, which verifies the necessity of considering interfacial layer.

Key words: graphene nanocomposites, flexible node beam element, layered method, finite element analysis, mechanical property

中图分类号:

TB332

彭昶玮, 黄君, 吴宇, 叶太智, 黄立新. 基于柔性结点梁单元和分层法的石墨烯/环氧树脂纳米复合材料力学性能预测[J]. 复合材料科学与工程, 2022, 0(4): 18-26.

PENG Chang-wei, HUANG Jun, WU Yu, YE Tai-zhi, HUANG Li-xin. Prediction of the mechanical properties of graphene/epoxy resin nanocomposites based on flexible node beam element and layered method[J]. COMPOSITES SCIENCE AND ENGINEERING, 2022, 0(4): 18-26.

参考文献

[1] LEE C, WEI X, KYSAR J W, et al. Measurement of the elastic properties and intrinsic strength of monolayer graphene[J]. Science, 2008, 321(5887): 385-388.
[2] ZHAO X, ZHANG Q H, CHEN D J, et al. Enhanced mechanical properties of graphene-based poly (vinyl alcohol) composites[J]. Macromolecules, 2010, 43(5): 2357-2363.
[3] LI C, CHOU T W. A structural mechanics approach for the analysis of carbon nanotubes[J]. International Journal of Solids & Structures, 2003, 40(10): 2487-2499.[4] NASDALA L, ERNST G. Development of a 4 node finite element for the computation of nano-structured materials[J]. Computational Materials Science, 2005, 33(4): 443-458.
[5] GIANNOPOULOS G I, KALLIVOKAS I G. Mechanical properties of graphene based nanocomposites incorporating a hybrid interphase[J]. Finite Elements in Analysis & Design, 2014, 90: 31-40.
[6] 黄君, 吴宇, 黄立新. 粘结界面层属性对石墨烯纳米复合材料力学性能影响的有限元分析[J]. 玻璃钢/复合材料, 2019(10): 26-32.
[7] PAPANICOLAOU G C, DRAKOPOULOS E D, ANIFANTIS N K, et al. Experimental, analytical, and numerical investigation of interphasial stress and strain fields in MWCNT polymer composites[J]. Journal of Applied Polymer Science, 2011, 123(2): 699-706.
[8] ARROYO M, BELYTCSHKO T. Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy Born rule[J]. Physical Review B, 2004, 69(11): 115415.
[9] LEWARS E G. 计算化学——分子和量子力学理论及应用导论[M]. 北京: 科学出版社, 2012.
[10] 王勖成. 有限单元法[M]. 北京: 清华大学出版社, 2003.
[11] 余朋. 基于半刚性结点杆件系统有限元模型石墨烯力学性能的研究[D]. 南宁: 广西大学, 2018.
[12] FIROOZ S, STEINMANN P, JAVILIA A. Homogenization of composites with extended general interfaces: Comprehensive review and unified modeling[J]. Applied Mechanics Reviews, 2021, 73(4):
040802
[13] KIM J H, PAULINO G H. Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials[J]. ASME Journal of Applied Mechanics, 2002, 69(4): 502-514.
[14] CORNELL W D, CIEPLAK P, BAYLY C I, et al. A second generation force field for the simulation of proteins, nucleic acids, and organic Molecules[J]. Journal of the American Chemical Society, 1995, 117(19): 5179-5197.
[15] YASMIN A, DANIEL I M. Mechanical and thermal properties of graphite platelet/epoxy composites[J]. Polymer, 2004, 45(24): 8211-8219.
[16] 吴宇. 基于半刚性结点杆件系统有限元模型的碳纳米材料力学性能的研究[D]. 南宁: 广西大学, 2019.
[17] SÁNCHEZ-PORTAL D, ARTACHO E, SOLER J M, et al. Ab initio structural, elastic, and vibrational properties of carbon nanotubes[J]. Physical Review B, 1999, 59(19): 12678-12688.
[18] ZHENG Y, WEI N, FAN Z, et al. Mechanical properties of grafold: A demonstration of strengthened graphene[J]. Nanotechnology, 2011, 22(40): 405701.
[19] SAKHAEE-POUR A, AHMADIAN M T, VAFAI A. Applications of single-layered graphene sheets as mass sensors and atomistic dust detectors[J]. Solid State Communications, 2008, 145(4): 168-172.

基于柔性结点梁单元和分层法的石墨烯/环氧树脂纳米复合材料力学性能预测

Prediction of the mechanical properties of graphene/epoxy resin nanocomposites based on flexible node beam element and layered method

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