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Critical Buckling Load of Chiral Double-Walled Carbon Nanotubes Embedded in an Elastic Medium

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Mechanics of Composite Materials Aims and scope

In order to determine the nonlocal critical buckling loads of chiral double-walled carbon nanotubes embedded in an elastic medium, the nonlocal Timoshenko beam theory is implemented. The solution for the nonlocal critical buckling loads is obtained using governing equations of the nonlocal theory. The effect of the elastic medium, the buckling mode number, chirality, and aspect ratio on the nonlocal critical buckling loads of double-walled carbon nanotubes are studied and discussed. The Young’s modulus of three types of double-walled carbon nanotubes, with armchair, zigzag, and chiral tubules, are calculated based on molecular dynamics simulations. The nonlocal critical buckling loads in relation to the chirality of double-walled carbon nanotubes, buckling mode number, and length-to-diameter (aspect} ratio, in the presence and absence of an elastic medium, are examined.

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Acknowledgments

This research was supported by the Algerian National Agency for the Development of University Research (ANDRU) and by the University of Sidi Bel Abbes (UDL SBA) in Algeria.

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Authors and Affiliations

  1. Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Sidi Bel Abbés, Algerie

    A. Chemi, H. Heireche, K. Rakrak & A. A. Bousahla

  2. Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbés, BP 89 Cité Ben M’hidi, 22000, Sidi Bel Abbés, Algerie

    M. Zidour

  3. Université Ibn Khaldoun, BP 78 Zaaroura, 14000, Tiaret, Algerie

    M. Zidour

  4. Département de physique, Faculté des Sciences, Université Hassiba benbouali, Chlef, Algerie

    K. Rakrak

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Correspondence to M. Zidour.

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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 53, No. 6, pp. 1191-1204, November-December, 2017.

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Chemi, A., Zidour, M., Heireche, H. et al. Critical Buckling Load of Chiral Double-Walled Carbon Nanotubes Embedded in an Elastic Medium. Mech Compos Mater 53, 827–836 (2018). https://doi.org/10.1007/s11029-018-9708-x

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  • DOI: https://doi.org/10.1007/s11029-018-9708-x

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