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Wave Characteristics of Multi-Walled Carbon Nanotubes

Mitra, Mira and Gopalakrishnan, S (2008) Wave Characteristics of Multi-Walled Carbon Nanotubes. In: CMES: Computer Modeling in Engineering & Sciences, 27 (1-2). pp. 125-136.

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In this paper, the wave characteristics, namely, the spectrum and dispersion relations of multi-wall carbon nanotubes (MWNTs) are studied. The MWNTs are modeled as multiple thin shells coupled through van der Waals force. Each wall of the MWNT has three displacements, {\it i.e}, axial, circumferential and radial with variation along the axial and circumferential directions. The wave characteristics are obtained by transforming the governing differential wave equations to frequency domain via Fourier transform. This transformation is first done in time using fast Fourier transform (FFT) and then in one spatial dimension using Fourier series. These transformed equations are solved by posing them as polynomial eigenvalue problem (PEP). The solution gives the wavenumbers and the wave speeds. First, the wave properties are studied for infinite length MWNT which does not have any variation along the axial direction. Next, the wavenumbers are studied for finite length MWNT with small and large radii. The analysis is done for single, double and three-walled carbon nanotubes.

Item Type: Journal Article
Publication: CMES: Computer Modeling in Engineering & Sciences
Publisher: Tech Science Press
Additional Information: Copyright of this article belongs to Tech Science Press.
Keywords: Carbon nanotubes;wave propagation;wavenumbers;wave speeds.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 18 Jul 2008
Last Modified: 27 Aug 2008 13:36
URI: http://eprints.iisc.ac.in/id/eprint/15087

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