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首页> 外文期刊>International journal of mechanics and materials in design >Elastic buckling of nanoplates based on general third-order shear deformable plate theory including both size effects and surface effects
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Elastic buckling of nanoplates based on general third-order shear deformable plate theory including both size effects and surface effects

机译：基于一般三阶剪切可变形板理论的纳米板弹性屈曲，包括尺寸效应和表面效应

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摘要

A unified plate model predicting the buckling behaviors is proposed by incorporating both surface and size effects into the general third-order plate theory (GTPT). From the minimum potential energy principle, the governing equations are implemented with presenting the corresponding boundary conditions. Analytic buckling loads for rectangular nanoplates are obtained by considering different boundary conditions. The surface effects, size effects and geometric sizes of nanoplates on the plate instability loads are discussed by using four types of single crystalline metallic nano-materials, gold, silver, copper and nickel. The study reveals that the GTPT is more accurate in predicting the buckling behaviors of nanoplates than the Reddy's plate theory when surface effects are considered due to the fact that the GTPT can freely satisfy the strain condition on plate surfaces. Further discussion shows that the nonlocal strain gradient GTPT predicts a higher critical buckling load of a nanoplate with increasing high order scale parameter while a lower critical buckling load with increasing nonlocal parameter than the classical GTPT. Moreover, it is found that the increasing in length-to-thickness ratios of the nanoplates enhances the influence of surface effects on the critical buckling loads.
机译：通过将表面和尺寸效应结合到一般的三阶板理论（GTPT）中，提出了一种预测屈曲行为的统一板模型。根据最小势能原理，通过呈现相应的边界条件来实现控制方程。通过考虑不同的边界条件来获得矩形纳米层板的分析屈曲载荷。通过使用四种类型的单晶金属纳米材料，金，银，铜和镍讨论了板不稳定性载荷上的纳米层的表面效应，尺寸效应和几何尺寸。该研究表明，当由于GTPT可以自由地满足板表面上的应变条件而认为表面效应，GTPT在预测纳米板的屈曲行为时，GTPT更准确。进一步的讨论表明，非局部应变梯度GTPT通过增加高阶刻度参数来预测纳米板的较高关键屈曲负荷，而具有比经典GTPT增加的非函数参数的较低的关键屈曲负载。此外，发现纳米间电压板的长度到厚度比的增加提高了表面效应对关键屈曲负荷的影响。

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  • 来源
  • 作者

    Tong L. H.; Wen Binqiang; Xiang Y.; Lei Z. X.; Lim C. W.;

  • 作者单位

    East China Jiaotong Univ Sch Civil Engn & Architecture Nanchang 330013 Jiangxi Peoples R China|East China Jiaotong Univ Natl Expt Teaching Demonstrat Ctr Civil Engn Nanchang 330013 Jiangxi Peoples R China;

    East China Jiaotong Univ Sch Civil Engn & Architecture Nanchang 330013 Jiangxi Peoples R China|East China Jiaotong Univ Natl Expt Teaching Demonstrat Ctr Civil Engn Nanchang 330013 Jiangxi Peoples R China;

    Western Sydney Univ Sch Engn Locked Bag 1797 Penrith NSW 2751 Australia;

    East China Jiaotong Univ Sch Civil Engn & Architecture Nanchang 330013 Jiangxi Peoples R China|East China Jiaotong Univ Natl Expt Teaching Demonstrat Ctr Civil Engn Nanchang 330013 Jiangxi Peoples R China;

    City Univ Hong Kong Dept Architecture & Civil Engn Kowloon Hong Kong Peoples R China;

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  • 正文语种 eng
  • 中图分类
  • 关键词

    Buckling; General third-order plate theory; Nanoplates; Size effect; Surface effect;

    机译：屈曲;一般三阶板理论;纳米板;尺寸效果;表面效应;

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