The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes
The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes
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DOI：
10.1088/0957-4484/18/7/075702
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发表时间：
2007-02
期刊：
影响因子：
3.5
通讯作者：
Quan Wang;Chien Ming Wang
中科院分区：
文献类型：
--
作者：
Quan Wang;Chien Ming Wang
本文提出了非局部弹性理论的本构关系，并将其应用于碳纳米管(CNT)的分析中，将其模型化为Euler-Bernoulli梁、Timoshenko梁或圆柱壳。特别对非局部Timoshenko梁理论的剪切应力应变关系进行了详细的讨论，这是由于一些研究者错误地认为非局部效应应该出现在这种本构关系中。文中还介绍了提出小尺度参数值的不同理论，并从碳纳米管的波传播角度对小尺度参数值提出了建议。
In this paper, the constitutive relations of nonlocal elasticity theory are presented for application in the analysis of carbon nanotubes (CNTs) when modelled as Euler–Bernoulli beams, Timoshenko beams or as cylindrical shells. In particular, the shear stress and strain relation for the nonlocal Timoshenko beam theory is discussed in great detail due to a misconception by some researchers that the nonlocal effect should appear in this constitutive relation. Different theories for proposing the value of the small scale parameter are also introduced and a recommendation for the value from the standpoint of wave propagation of CNTs is given.