Nonlocal nonlinear mechanics of imperfect carbon nanotubes

Farajpour, Ali, Ghayesh, Mergen H. and Farokhi, Hamed (2019) Nonlocal nonlinear mechanics of imperfect carbon nanotubes. International Journal of Engineering Science, 142. pp. 201-215. ISSN 0020-7225

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Official URL: https://doi.org/10.1016/j.ijengsci.2019.03.003

Abstract

In this article, for the first time, a coupled nonlinear model incorporating scale influences is presented to simultaneously investigate the influences of viscoelasticity and geometrical imperfections on the nonlocal coupled mechanics of carbon nanotubes; large deformations, stress nonlocality and strain gradients are captured in the model. The Kelvin-Voigt model is also applied in order to ascertain the viscoelasticity effects on the mechanics of the initially imperfect nanoscale system. The modified coupled equations of motion are then derived via the Hamilton principle. A solution approach for the derived coupled equations is finally developed applying a decomposition-based procedure in conjunction with a continuation-based scheme. The significance of many parameters such as size parameters, initial imperfections, excitation parameters and linear and nonlinear damping effects in the nonlinear mechanical response of the initially imperfect viscoelastic carbon nanotube is assessed. The present results can be useful for nanoscale devices using carbon nanotubes since the viscoelasticity and geometrical imperfection are simultaneously included in the proposed model.

Item Type: Article
Uncontrolled Keywords: Carbon nanotubes, Initial imperfections, Viscoelasticity, Nonlinear response, Scale influences
Subjects: F200 Materials Science
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Elena Carlaw
Date Deposited: 05 Jul 2019 09:04
Last Modified: 11 Oct 2019 12:47
URI: http://nrl.northumbria.ac.uk/id/eprint/39867

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