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Mechanical Sciences An open-access journal for theoretical and applied mechanics

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Mech. Sci., 8, 299-305, 2017
https://doi.org/10.5194/ms-8-299-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
09 Oct 2017
Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads
Mouafo Teifouet Armand Robinson1,2 and Sarp Adali1 1Discipline of Mechanical Engineering, University of KwaZulu-Natal, Durban 4041, South Africa
2Department of Physics, University of Dschang, Dschang, Cameroon
Abstract. 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.

Citation: Robinson, M. T. A. and Adali, S.: Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads, Mech. Sci., 8, 299-305, https://doi.org/10.5194/ms-8-299-2017, 2017.
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Short summary
Buckling of nonuniform carbon nanotubes are studied under concentrated and distributed axial loads. Solution is obtained via weak formulation and Rayleigh-Ritz method for a combination of simply supported, clamped and free boundary conditions for uniformly and triangularly distributed axial loads. Buckling load under tip load is more sensitive to the change in the cross-section. However buckling load is more sensitive to the magnitude of the tip load for the clamped-free boundary conditions.
Buckling of nonuniform carbon nanotubes are studied under concentrated and distributed axial...
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