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Nonlocal plate model for nonlinear bending of bilayer graphene sheets subjected to transverse loads in thermal environments

机译：热环境中承受横向载荷的双层石墨烯片非线性弯曲的非局部板模型

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摘要

This paper investigates the nonlinear bending behavior of a bilayer rectangular graphene sheet subjected to a transverse uniform load in thermal environments. The bilayer graphene sheet (BLGS) is modeled as a nonlocal double-layered plate which contains small scale effect and van der Waals interaction forces. The geometric nonlinearity in the von Karman sense is adopted. The thermal effects are included and the material properties are assumed to be size-dependent and temperature-dependent, and are obtained from molecular dynamics (MD) simulations. The small scale parameter e_0s estimated by matching the deflections of graphene sheets observed from the MD simulation results with the numerical results obtained from the nonlocal plate model. The numerical results show that the stacking sequence has a moderate effect, whereas the temperature change as well as the aspect ratio has a significant effect on the nonlinear bending behavior of BLGSs. The results reveal that the small scale parameter reduces the static large deflections of BLGSs, and the small scale effect also plays an important role in the nonlinear bending of BLGSs.
机译：本文研究了在热环境中承受横向均匀载荷的双层矩形石墨烯片的非线性弯曲行为。双层石墨烯片（BLGS）被建模为包含小比例效应和范德华相互作用力的非局部双层板。采用冯·卡曼（von Karman）感的几何非线性。包括了热效应，并且假定材料特性与尺寸和温度有关，并且可以从分子动力学（MD）模拟获得。通过将MD模拟结果中观察到的石墨烯片的挠度与非局部板模型获得的数值结果进行匹配，可以估算出小尺度参数e_0s。数值结果表明，堆叠顺序具有适度的影响，而温度变化和长宽比对BLGS的非线性弯曲行为有显着影响。结果表明，小尺度参数减小了BLGS的静态大挠度，小尺度效应在BLGS的非线性弯曲中也起着重要作用。

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  • 来源
    《Composite Structures》 |2013年第4期|294-302|共9页
  • 作者

    Yu-Mou Xu; Hui-Shen Shen; Chen-Li Zhang;

  • 作者单位

    School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China;

    School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China,State Key Laboratory of Ocean Engineering Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China;

    School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    graphene sheet; nonlinear bending; nonlocal plate model;

    机译：石墨烯片非线性弯曲非局部板模型;

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