Authors: Yang, Yang; Lim, C.W.

Source: Advanced Science Letters, Volume 4, Number 1, January 2011 , pp. 121-131(11)

Publisher: American Scientific Publishers

Abstract:

In this paper, an analytic nonlocal shell model is established to investigate the axisymmetric wave propagation in carbon nanotubes. Considering carbon nanotubes as continuum elastic shells and applying the nonlocal elasticity theory, the novel governing equations of motion for carbon nanotubes with nanoscale effects are derived based on the variational principle. The dispersion relation of phase velocity in terms of wavenumber for waves to propagate in carbon nanotubes are illustrated and compared with the results predicted by other approaches including the previous partial nonlocal models, classical elastic models, strain gradient theory and molecular dynamic simulation. The analysis and results confirm that this new analytical nonlocal shell model is capable of successfully predicting stiffness enhancement for carbon nanotubes with nonlocal effects and the decay of wave propagation at high wavenumber. Illustration of phase velocity with respect to the nonlocal nanoscale parameter of carbon nanotubes further confirm the rationality of this new, analytical nonlocal shell model in the studies of wave propagation in carbon nanotubes.

Keywords: AXISYMMETRIC WAVE PROPAGATION; CYLINDRICAL SHELL; CARBON NANOTUBES; NONLOCAL ELASTIC THEORY; VARIATION PRINCIPLE

Document Type: Research article

DOI: http://dx.doi.org/10.1166/asl.2011.1177

Publication date: 2011-01-01

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• ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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