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Exact solutions of bending deflections for nano-beams and nano-plates based on nonlocal elasticity theory

机译：基于非局部弹性理论的纳米梁和纳米板弯曲挠度的精确解

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摘要

In this paper, we applied the nonlocal continuum mechanics to deriving a complete and asymptotic representation of the infinite higher-order governing differential equations for nano-beam and nano-plate models. Results show that the vanishing issue of small scale effects under some boundary conditions such as a clamped nano-beam subjected to distributed uniformly load is solved by using the present nonlocal continuum model. Several typical examples for nano-beam and nano-plate are studied and the scale effect on bending deflection is discussed at length. The analytical prediction for nonlocal bending deflection gives a good prediction of molecular dynamics simulation results which confirms the accuracy of the present model. It is found that when the external characteristic length tends to internal characteristic length, a property of a rigid body for the nano-beam and nano-plate is presented. (C) 2015 Elsevier Ltd. All rights reserved.
机译：在本文中，我们将非局部连续力学应用于纳米束和纳米板模型的无限高阶控制微分方程的完整和渐近表示。结果表明，通过使用当前的非局部连续模型，可以解决在某些边界条件下的小尺度效应的消失问题，例如受约束的纳米束受到均匀分布的载荷。研究了纳米束和纳米板的几个典型例子，并详细讨论了弯曲挠度的尺度效应。非局部弯曲挠度的分析预测可以很好地预测分子动力学模拟结果，从而证实了本模型的准确性。发现当外部特征长度趋于内部特征长度时，呈现出用于纳米束和纳米板的刚体的性质。 （C）2015 Elsevier Ltd.保留所有权利。

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  • 来源
    《Composite Structures》 |2015年第7期|304-313|共10页
  • 作者

    Yan J. W.; Tong L. H.; Li C.; Zhu Y.; Wang Z. W.;

  • 作者单位

    Jinan Univ, Packaging Engn Inst, Zhuhai, Guangdong, Peoples R China|Jinan Univ, Guangdong Higher Educ Inst, Key Lab Product Packaging & Logist, Zhuhai, Guangdong, Peoples R China;

    East China Jiaotong Univ, Inst Geotech Engn, Nanchang, Jiangxi, Peoples R China;

    Soochow Univ, Sch Urban Rail Transportat, Suzhou, Jiangsu, Peoples R China;

    Jinan Univ, Packaging Engn Inst, Zhuhai, Guangdong, Peoples R China|Jinan Univ, Guangdong Higher Educ Inst, Key Lab Product Packaging & Logist, Zhuhai, Guangdong, Peoples R China;

    Jinan Univ, Packaging Engn Inst, Zhuhai, Guangdong, Peoples R China|Jinan Univ, Guangdong Higher Educ Inst, Key Lab Product Packaging & Logist, Zhuhai, Guangdong, Peoples R 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

    Nonlocal elasticity theory; Scale effect; Bending deflection; Nano-beam; Nano-plate;

    机译：非局部弹性理论尺度效应弯曲挠度纳米梁纳米板;

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