The interlayer attraction force between concentric carbon nanotubes (CNTs) plays an important role in CNT-based nanodevices. However, the precise measurement of the interlayer attraction force remains to date a challenge. Although theoretical investigations have identified the dependence of the interlayer attraction force on the tube radius, no explicit relation for such dependence has been established so far. Here, based on an analytical model, we find that the interlayer attraction force between two telescoping concentric CNTs is proportional to the mean (but not the inner nor the outer) radius of the contacting two tubes and consequently propose an explicit expression that relates the interlayer attraction force with the mean radius as well as the interlayer spacing. We also implement the effect of temperature in the present expression based on the linear dependence of the attraction force on temperature. The present expression can be compared with the existing theoretical and experimental results, offering an efficient way to evaluate the interlayer attraction force in the nanodevices composed of concentric CNTs.
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September 2019
Research-Article
Interlayer Attraction Force in Concentric Carbon Nanotubes
Hai Zhou,
Hai Zhou
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: zhouhaiasme@outlook.com
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: zhouhaiasme@outlook.com
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Jiantao Leng,
Jiantao Leng
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: jtleng@foxmail.com
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: jtleng@foxmail.com
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Zhengrong Guo,
Zhengrong Guo
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: guozhengrong@shu.edu.cn
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: guozhengrong@shu.edu.cn
Search for other works by this author on:
Jianxin Li,
Jianxin Li
State Key Laboratory of Ocean Engineering,
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai 200240,
e-mail: jianxin.li@sjtu.edu.cn
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai Jiao Tong University
,Shanghai 200240,
China
e-mail: jianxin.li@sjtu.edu.cn
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Zhanlei Huo,
Zhanlei Huo
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: Huozhanlei@shu.edu.cn
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: Huozhanlei@shu.edu.cn
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Jiaxing Qu,
Jiaxing Qu
State Key Laboratory of Ocean Engineering,
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai 200240,
e-mail: qujiaxing@sjtu.edu.cn
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai Jiao Tong University
,Shanghai 200240,
China
e-mail: qujiaxing@sjtu.edu.cn
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Tienchong Chang
Tienchong Chang
1
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: tchang@staff.shu.edu.cn
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: tchang@staff.shu.edu.cn
1Corresponding author.
Search for other works by this author on:
Hai Zhou
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: zhouhaiasme@outlook.com
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: zhouhaiasme@outlook.com
Jiantao Leng
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: jtleng@foxmail.com
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: jtleng@foxmail.com
Zhengrong Guo
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: guozhengrong@shu.edu.cn
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: guozhengrong@shu.edu.cn
Jianxin Li
State Key Laboratory of Ocean Engineering,
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai 200240,
e-mail: jianxin.li@sjtu.edu.cn
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai Jiao Tong University
,Shanghai 200240,
China
e-mail: jianxin.li@sjtu.edu.cn
Zhanlei Huo
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: Huozhanlei@shu.edu.cn
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: Huozhanlei@shu.edu.cn
Jiaxing Qu
State Key Laboratory of Ocean Engineering,
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai 200240,
e-mail: qujiaxing@sjtu.edu.cn
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai Jiao Tong University
,Shanghai 200240,
China
e-mail: qujiaxing@sjtu.edu.cn
Tienchong Chang
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai 200072,
e-mail: tchang@staff.shu.edu.cn
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University
,Shanghai 200072,
China
e-mail: tchang@staff.shu.edu.cn
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received May 5, 2019; final manuscript received May 26, 2019; published online June 10, 2019. Assoc. Editor: Yonggang Huang.
J. Appl. Mech. Sep 2019, 86(9): 091003 (6 pages)
Published Online: June 10, 2019
Article history
Received:
May 5, 2019
Revision Received:
May 26, 2019
Accepted:
May 26, 2019
Citation
Zhou, H., Leng, J., Guo, Z., Li, J., Huo, Z., Qu, J., and Chang, T. (June 10, 2019). "Interlayer Attraction Force in Concentric Carbon Nanotubes." ASME. J. Appl. Mech. September 2019; 86(9): 091003. https://doi.org/10.1115/1.4043890
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