Effect of a rippling mode on resonances of carbon nanotubes.
Effect of a rippling mode on resonances of carbon nanotubes.
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DOI：
10.1103/physrevlett.86.4843
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发表时间：
2001-05
影响因子：
8.6
通讯作者：
J. Z. Liu;Q. Zheng;Q. Jiang
中科院分区：
文献类型：
--
作者：
J. Z. Liu;Q. Zheng;Q. Jiang
最近的一项研究通过测量共振频率并使用线性振动理论产生的模量-频率关系来确定碳纳米管的杨氏模量。这导致了杨氏模量急剧下降的报告，随着直径D从8纳米增加到40纳米，从约1 TPa下降到0.1 TPa，研究人员将这种下降归因于测量期间出现的不寻常的弯曲模式，其对应于弯曲纳米管的内弧上的波纹。本文中提出的非线性分析，捕获的波纹模式表明，有效的杨氏模量确实可以随着直径的增加而大幅下降，从经典的线性理论的结果可能是无效的，在这样的测量。
A recent study determined the Young's modulus of carbon nanotubes by measuring resonance frequency and using the modulus-frequency relation resulting from the linear vibration theory. It leads to the report that the Young's modulus decreases sharply, from about 1 to 0.1 TPa with the diameter D increasing from 8 to 40 nanometers, and the investigators attributed this decrease to the emergence of an unusual bending mode during the measurement that corresponds to rippling on the inner arc of the bent nanotubes. The nonlinear analysis presented in this paper that captures the rippling mode suggests that the effective Young's modulus can indeed decrease substantially with increasing diameter, and that the results from the classical linear theory may be invalid in such measurements.