Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads

Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads

Buckling of nonuniform carbon nanotubes are studied with the axial load taken as a combination of concentrated and axially distributed loads. Constitutive modelling of the nanotubes is implemented via nonlocal continuum mechanics. Problem solutions are obtained by employing a weak formulation of...

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Main Authors: M. T. A. Robinson, S. Adali
Format: Article
Language:English
Published: Copernicus Publications 2017-10-01
Series:Mechanical Sciences
Online Access:https://www.mech-sci.net/8/299/2017/ms-8-299-2017.pdf
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spelling doaj-d0f944d45d6c429f9685629dbd0bc2602020-11-24T22:37:42ZengCopernicus PublicationsMechanical Sciences2191-91512191-916X2017-10-01829930510.5194/ms-8-299-2017Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loadsM. T. A. Robinson0M. T. A. Robinson1S. Adali2Discipline of Mechanical Engineering, University of KwaZulu-Natal, Durban 4041, South AfricaDepartment of Physics, University of Dschang, Dschang, CameroonDiscipline of Mechanical Engineering, University of KwaZulu-Natal, Durban 4041, South AfricaBuckling of nonuniform carbon nanotubes are studied with the axial load taken as a combination of concentrated and axially distributed loads. Constitutive modelling of the nanotubes is implemented via nonlocal continuum mechanics. Problem solutions are obtained by employing a weak formulation of the problem and the Rayleigh-Ritz method which is implemented by using orthogonal Chebyshev polynomials. The accuracy of the method of solution is verified against available results. Solutions are obtained for the cases of uniformly distributed and triangularly distributed axial loads. Contour plots are given to assess the effect of nonuniform cross-sections and the small-scale parameter on the buckling load for a combination of simply supported, clamped and free boundary conditions.https://www.mech-sci.net/8/299/2017/ms-8-299-2017.pdf
collection DOAJ
language English
format Article
sources DOAJ
author M. T. A. Robinson
M. T. A. Robinson
S. Adali
spellingShingle M. T. A. Robinson
M. T. A. Robinson
S. Adali
Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads
Mechanical Sciences
author_facet M. T. A. Robinson
M. T. A. Robinson
S. Adali
author_sort M. T. A. Robinson
title Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads
title_short Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads
title_full Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads
title_fullStr Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads
title_full_unstemmed Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads
title_sort buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads
publisher Copernicus Publications
series Mechanical Sciences
issn 2191-9151
2191-916X
publishDate 2017-10-01
description Buckling of nonuniform carbon nanotubes are studied with the axial load taken as a combination of concentrated and axially distributed loads. Constitutive modelling of the nanotubes is implemented via nonlocal continuum mechanics. Problem solutions are obtained by employing a weak formulation of the problem and the Rayleigh-Ritz method which is implemented by using orthogonal Chebyshev polynomials. The accuracy of the method of solution is verified against available results. Solutions are obtained for the cases of uniformly distributed and triangularly distributed axial loads. Contour plots are given to assess the effect of nonuniform cross-sections and the small-scale parameter on the buckling load for a combination of simply supported, clamped and free boundary conditions.
url https://www.mech-sci.net/8/299/2017/ms-8-299-2017.pdf
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AT mtarobinson bucklingofnonuniformcarbonnanotubesunderconcentratedanddistributedaxialloads
AT sadali bucklingofnonuniformcarbonnanotubesunderconcentratedanddistributedaxialloads
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