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On Gap Closure in a Double-Walled Carbon Nanotube

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This study addresses the static deflection of a double-walled carbon nanotube under uniform loading on the outer tube. The tubes are modeled as Euler-Bernoulli beams coupled through van der Waals forces. It is shown that under sufficiently high loading, the surfaces of the inner and outer tubes will make contact. In the case of linear deformations, a closed form solution is obtained for the beam deflections and the critical load resulting in contact is calculated. It is found that the beams will make contact at two distinct points along their span, but the associated beam deflections are outside the range of the linear beam theory. A nonlinear analysis accounting for the stretching of the neutral axis of both beams is presented, and the critical load is calculated by solving the deflection equations by the Bubnov-Galerkin technique. In this case, the beams will make contact only at their midpoints and both the critical load and deflections are much less than those obtained in the linear analysis.
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Keywords: BUBNOV-GALERKIN; CARBON NANOTUBE; EULER-BERNOULLI BEAM; STATIC DEFLECTION

Document Type: Research Article

Publication date: February 1, 2011

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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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