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Nonlocal and shear effects on column buckling of single-layered membranes from stocky single-walled carbon nanotubes

机译：局限性和剪切对单壁碳纳米管单层膜柱屈曲的影响

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Axial buckling behavior of single-layered membranes from vertically aligned single-walled carbon nanotubes is studied in the context of the nonlocal continuum theory of Eringen. To this end, useful discrete models based on the nonlocal Rayleigh, Timoshenko, and higher-order beam theories are developed to evaluate critical buckling loads associated with both in-plane and out-of-plane buckling modes. In discrete models, the size of the eigenvalue equations to be solved drastically magnifies for highly populated membranes. Thereby, development of models whose computational efforts do not affected by the population of the membrane is of great advantageous. To bridge this scientific gap, appropriate nonlocal continuous models are established based on the developed discrete models. The accuracy of the proposed discrete and continuous models is checked and remarkable results are achieved. Subsequently, the roles of the influential factors on both in-plane and out-of-plane axial buckling loads are addressed. The obtained results can be regarded as a basic step in examining of axial buckling mechanisms of more complex systems consist of multi-layered membranes from parallel or even orthogonal single-walled carbon nanotubes. (C) 2015 Elsevier Ltd. All rights reserved.
机译：垂直排列的单壁碳纳米管的单层膜的轴向屈曲行为是在Eringen的非局部连续体理论的背景下研究的。为此，开发了基于非局部瑞利，蒂莫申科和高阶梁理论的有用离散模型，以评估与平面内和平面外屈曲模式相关的临界屈曲载荷。在离散模型中，要解决的特征值方程式的大小对于人口众多的膜会大大放大。因此，开发其计算努力不受膜的填充量影响的模型是非常有利的。为了弥合这一科学差距，在已开发的离散模型的基础上建立了适当的非局部连续模型。检查了所提出的离散模型和连续模型的准确性，并获得了显着的结果。随后，解决了平面内和平面外轴向屈曲载荷的影响因素的作用。获得的结果可被视为检验更复杂系统的轴向屈曲机理的基本步骤，该系统由平行或什至正交的单壁碳纳米管组成的多层膜组成。 （C）2015 Elsevier Ltd.保留所有权利。

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