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Wave propagation in multi-walled carbon nanotube

DSpace at IIT Bombay

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Title Wave propagation in multi-walled carbon nanotube
 
Creator MITRA, MIRA
GOPALAKRISHNAN, S
 
Subject carbon nanotubes
wave propagation
finite element analysis
fourier transforms
 
Description In this paper, wave propagation in multi-walled carbon nanotubes (MWNTs) are studied by modeling them as continuum multiple shell coupled through van der Waals force of interaction. The displacements, namely, axial, radial and circumferential displacements vary along the circumferential direction. The wave propagation are simulated using the wavelet based spectral finite element (WSFE) method. This technique involves Daubechies scaling function approximation in time and spectral element approach. The WSFE method allows the study of wave properties in both time and frequency domains. This is in contrast to the conventional Fourier transform based analysis which are restricted to frequency domain analysis. Here, first, the wavenumbers and wave speeds of carbon nanotubes (CNTs) are studied to obtain the characteristics of the waves. These group speeds have been compared with those reported in literature. Next, the natural frequencies of a single-walled carbon nanotube (SWNT) are studied for different values of the radius. The frequencies of the first five modes vary linearly with the radius of the SWNT. Finally, the time domain responses are simulated for SWNT and three-walled carbon nanotubes.
 
Publisher Elsevier
 
Date 2009-09-12T08:52:56Z
2011-11-25T15:25:38Z
2011-12-26T13:04:54Z
2011-12-27T05:50:56Z
2009-09-12T08:52:56Z
2011-11-25T15:25:38Z
2011-12-26T13:04:54Z
2011-12-27T05:50:56Z
2009
 
Type Article
 
Identifier Computational Materials Science 45(2), 411-418
0927-0256
http://dx.doi.org/10.1016/j.commatsci.2008.10.022
http://hdl.handle.net/10054/1637
http://dspace.library.iitb.ac.in/xmlui/handle/10054/1637
 
Language en