Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads

Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes. Weak formulation of the problem is formulated and the Rayleigh quotients are o...

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Published inMechanical sciences (Göttingen) Vol. 10; no. 1; pp. 145 - 152
Main Authors Robinson, Mouafo Teifouet Armand, Adali, Sarp
Format Journal Article
LanguageEnglish
Published Gottingen Copernicus GmbH 26.04.2019
Copernicus Publications
Subjects
Axial loads
Carbon
Carbon nanotubes
Chebyshev approximation
Elastic buckling
Elastic restraints
Mathematical models
Mechanical properties
Nanotubes
Polynomials
Quotients
Ritz method
Stress concentration
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ISSN2191-916X
2191-9151
2191-916X
DOI10.5194/ms-10-145-2019

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Summary:Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes. Weak formulation of the problem is formulated and the Rayleigh quotients are obtained for distributed and concentrated axial loads. Numerical solutions are obtained by Rayleigh–Ritz method using orthogonal Chebyshev polynomials. The method of solution is verified by checking against results available in the literature. The effect of the elastic restraints on the buckling load is studied by counter plots in term of small-scale parameter and the spring constants.
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ISSN:2191-916X
2191-9151
2191-916X
DOI:10.5194/ms-10-145-2019