On Gap Closure in a Double-Walled Carbon Nanotube
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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Document Type: Research Article
Publication date: February 1, 2011
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