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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 5, Pages 163–175 (Mi pmtf1533)  
This article is cited in 15 scientific papers (total in 15 papers)

Study of dynamic stability of the double-walled carbon nanotube under axial loading embedded in an elastic medium by the energy method

A. Ghorbanpour Arania, M. Hashemianb, A. Loghmanb, M. Mohammadimehrb

a Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, I.R.Iran
b Department of Mechanical Engineering, University of Kashan, Ghotb Ravandi Avenue, Kashan, 87317-51167, I.R.Iran
Full-text PDF (703 kB) Citations (15)
Abstract: In this paper, the dynamic stability of single- and double-walled carbon nanotubes (SWCNT and DWCNT) under dynamic axial loading is investigated using the continuum mechanics model and the minimum total energy method. The natural frequencies of the SWCNT and the critical dynamic axial load of the SWCNT and DWCNT are obtained using the Rayleigh-Ritz method. The effects of the elastic medium and the van der Waals forces between the two layers in the DWCNT are taken into account using the Winkler model and Lennard-Jones theory, respectively. The effect of the small length scale is also considered using the Eringen Model. The critical dynamic axial load is increased by inserting an inner carbon nanotube (CNT) into an isolated CNT embedded in an elastic medium.
Keywords: carbon nanotube, dynamic stability, energy method, elastic medium, axial loading.
Received: 16.10.2009
Accepted: 18.10.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 5, Pages 815–824
DOI: https://doi.org/10.1134/S0021894411050178
Bibliographic databases:
Document Type: Article
UDC: 539.3:534.1
Language: Russian
Citation: A. Ghorbanpour Arani, M. Hashemian, A. Loghman, M. Mohammadimehr, “Study of dynamic stability of the double-walled carbon nanotube under axial loading embedded in an elastic medium by the energy method”, Prikl. Mekh. Tekh. Fiz., 52:5 (2011), 163–175; J. Appl. Mech. Tech. Phys., 52:5 (2011), 815–824
Citation in format AMSBIB
\Bibitem{GhoHasLog11}
\by A.~Ghorbanpour Arani, M.~Hashemian, A.~Loghman, M.~Mohammadimehr
\paper Study of dynamic stability of the double-walled carbon nanotube under axial loading embedded in an elastic medium by the energy method
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 5
\pages 163--175
\mathnet{http://mi.mathnet.ru/pmtf1533}
\elib{https://elibrary.ru/item.asp?id=17255711}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 5
\pages 815--824
\crossref{https://doi.org/10.1134/S0021894411050178}
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  • https://www.mathnet.ru/eng/pmtf/v52/i5/p163
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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