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Asymptotic modeling of nonlinear bending and buckling behavior of carbon nanotubes

Ponnusami, SA and Gupta, M and Harursampath, D (2019) Asymptotic modeling of nonlinear bending and buckling behavior of carbon nanotubes. In: AIAA Journal, 57 (10). pp. 4132-4140.

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Official URL: https://doi.org/10.2514/1.J057564


The present work investigates the nonlinear bending and buckling behavior of carbon nanotubes (CNTs) using variational asymptotic method. Considering a CNT as a slender beam structure, an asymptotically-correct nonlinear continuum beam model is presented. Through the resulting nonlinear moment-curvature relationship, the model captures the phenomenon of ovalization of the cross sections and local buckling of the CNT, which arises due to their geometrical nature. Further studies are performed in order to explore the effect of CNT wall thickness on the nonlinear bending behavior of the CNT structure. It is shown that the continuum modeling approach can capture the ovalization and further localization of the CNT deformation under bending. The study aims to provide a reduced-order modeling framework analyzing the inherent nonlinearities associated with the geometrical nature of CNTs.

Item Type: Journal Article
Publication: AIAA Journal
Publisher: American Institute of Aeronautics and Astronautics Inc.
Additional Information: The copyright of this article belongs to the Authors.
Keywords: Bending (deformation); Buckling; Continuum mechanics, Asymptotic model; Buckling behaviors; Continuum Modeling; Continuum-beam models; Moment-curvature relationship; Non-linear bending; Reduced order models; Variational asymptotic methods, Carbon nanotubes
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 24 Aug 2022 06:52
Last Modified: 24 Aug 2022 06:52
URI: https://eprints.iisc.ac.in/id/eprint/76398

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