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Axial buckling scrutiny of doubly orthogonal slender nanotubes via nonlocal continuum theory

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Abstract

Using nonlocal Euler-Bernoulli beam theory, buckling behavior of elastically embedded Doubly orthogonal single-walled carbon nanotubes (DOSWCNTs) is studied. The nonlocal governing equations are obtained. In fact, these are coupled fourth-order integro-ordinary differential equations which are very difficult to be solved explicitly. As an alternative solution, Galerkin approach in conjunction with assumed mode method is employed, and the axial compressive buckling load of the nanosystem is evaluated. For DOSWCNTs with simply supported tubes, the influences of the slenderness ratio, aspect ratio, intertube free space, small-scale parameter, and properties of the surrounding elastic matrix on the axial buckling load of the nanosystem are addressed. The proposed model could be considered as a pivotal step towards better understanding the buckling behavior of more complex nanosystems such as doubly orthogonal membranes or even jungles of carbon nanotubes.

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Authors and Affiliations

  1. Department of Civil Engineering, K.N. Toosi University of Technolog, P.O. Box 15875-4416, Tehran, Iran

    Keivan Kiani

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  1. Keivan Kiani
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Correspondence to Keivan Kiani.

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Recommended by Associate Editor Jun-Sik Kim

Keivan Kiani was born in Hamedan of Iran on 1979. He got a B.Sc. degree in civil engineering from Isfahan University of Technology on 1999. Subsequently, he was awarded M.Sc and Ph.D. degrees with major in structural engineering from Sharif University of Technology in 2002 and 2010, respectively. His current research is focus on the wave propagation in, vibrations and dynamic instability of nanostructures using advanced elasticity theories. To date, he has published more than 60 articles in the peer-reviewed journals of mathematics, physics and mechanics, and he has been the reviewer of more than 40 ISI journals.

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Kiani, K. Axial buckling scrutiny of doubly orthogonal slender nanotubes via nonlocal continuum theory. J Mech Sci Technol 29, 4267–4272 (2015). https://doi.org/10.1007/s12206-015-0923-2

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  • DOI: https://doi.org/10.1007/s12206-015-0923-2

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