Nonlocal continuum modeling and molecular dynamics simulation of torsional vibration of carbon nanotubes

UBC Faculty Research and Publications

Nonlocal continuum modeling and molecular dynamics simulation of torsional vibration of carbon nanotubes Khademolhosseini, Farzad; Phani, A. S.; Nojeh, Alireza; Rajapakse, Nimal

Abstract

This work investigates the size-effects in the dynamic torsional response of single walled carbon nanotubes SWCNTs) by developing a modified nonlocal continuum shell model. The purpose is to facilitate the design of devices based on CNT torsion by providing a simple, accurate and efficient continuum model that can predict the frequency of torsional vibrations and the propagation speed of torsional waves. To this end, dispersion relations of torsional waves are obtained from the proposed nonlocal model and compared to classical models. It is seen that the classical and nonlocal models predict non-dispersive and dispersive behavior, respectively. Molecular dynamics (MD)simulations of torsional vibrations of (6,6) and (10,10) SWCNTs are also performed, the results of which are compared with the classical and nonlocal models and used to extract consistent values of the nonlocal elasticity constant. The superiority and accuracy of the nonlocal elasticity model in predicting the size-dependent dynamic torsional response of SWCNTs is demonstrated.

Item Metadata

Title	Nonlocal continuum modeling and molecular dynamics simulation of torsional vibration of carbon nanotubes
Creator	Khademolhosseini, Farzad; Phani, A. S.; Nojeh, Alireza; Rajapakse, Nimal
Date Issued	2012
Description	This work investigates the size-effects in the dynamic torsional response of single walled carbon nanotubes SWCNTs) by developing a modified nonlocal continuum shell model. The purpose is to facilitate the design of devices based on CNT torsion by providing a simple, accurate and efficient continuum model that can predict the frequency of torsional vibrations and the propagation speed of torsional waves. To this end, dispersion relations of torsional waves are obtained from the proposed nonlocal model and compared to classical models. It is seen that the classical and nonlocal models predict non-dispersive and dispersive behavior, respectively. Molecular dynamics (MD)simulations of torsional vibrations of (6,6) and (10,10) SWCNTs are also performed, the results of which are compared with the classical and nonlocal models and used to extract consistent values of the nonlocal elasticity constant. The superiority and accuracy of the nonlocal elasticity model in predicting the size-dependent dynamic torsional response of SWCNTs is demonstrated.
Subject	Torsional oscillator; carbon nanotube; molecular dynamics; nonlocal elasticity
Genre	Article; Postprint
Type	Text
Language	eng
Date Available	2013-05-18
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0300116
URI	http://hdl.handle.net/2429/44492
Affiliation	Applied Science, Faculty of; Electrical and Computer Engineering, Department of; Mechanical Engineering, Department of; Non UBC
Citation	F. Khademolhosseini, A.S. Phani, A. Nojeh, and R.K.N.D. Rajapakse, "Nonlocal continuum modeling and molecular dynamics simulation of torsional vibration of carbon nanotubes," IEEE Transactions on Nanotechnology, vol. 11, pp.34-43 (2012)
Publisher DOI	10.1109/TNANO.2011.2111380
Peer Review Status	Reviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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