On gap closure in a double-walled carbon nanotube

Author Type

Outside Researcher

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Advanced Science Letters

Publication Status

Version of Record

Abstract

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. © 2011 American Scientific Publishers.

First Page

549

Last Page

553

DOI

10.1166/asl.2011.1238

Publication Date

2-1-2011

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