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arXiv 0907.1312cond-mat.mtrl-scicond-mat.mes-hallphysics.chem-ph
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初始压应力对碳纳米管中波传播的影响

Effects of initial compression stress on wave propagation in carbon nanotubes

M. M. Selim, S. Abe, K. Harigaya

摘要:

提出了一种研究初始压应力作用下波在单壁和双壁碳纳米管中传播的解析方法。在多层薄壳近似中处理纳米管结构,其中弹性性质被认为是石墨烯片的弹性性质。基于Flugge运动方程推导了控制方程。通过初始压应力和范德华力的影响,给出了单壁和双壁碳纳米管中波传播的频率方程。为了说明初始压应力对波在纳米管中传播的影响,可以基于现有的弹性连续介质模型来分析对称模式。结果表明,波速对压应力敏感,特别是在低频时。

英文摘要:

An analytical method to investigate wave propagation in single- and double- walled carbon nanotubes under initial compression stress is presented. The nanotube structures are treated within the multilayer thin shell approximation with the elastic properties taken to be those of the graphene sheet. The governing equations are derived based on Flugge equations of motion. Frequency equations of wave propagation in single and double wall carbon nanotubes are described through the effects of initial compression stress and van der Waals force. To show the effects of Initial compression stress on the wave propagation in nanotubes, the symmetrical mode can be analyzed based on the present elastic continuum model. It is shown that the wave speed are sensitive to the compression stress especially for the lower frequencies.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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