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Evaluation of nonlocal parameter for single-walled carbon nanotubes with arbitrary chirality

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Abstract

Eringen’s nonlocal parameter is estimated for single-walled carbon nanotubes (SWCNTs) with arbitrary chirality. Analytical solution is presented by using molecular mechanics and nonlocal elasticity theory. The model is used to elucidate the effect of tube chirality, tube diameter, aspect ratio of the nanotube (length/diameter) and wave propagation mode shapes on the magnitude of the nonlocal parameter. The results show that, instead of a constant value for the nonlocal parameter reported in literature, the values of the nonlocal parameter vary with respect to different geometrical parameters of the SWCNTs.

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Acknowledgments

The authors would like to thank the referees for their valuable comments and suggestions to improve the paper.

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Authors and Affiliations

  1. School of Mechanical Engineering, Shiraz University, 71963-16548, Shiraz, Iran

    Esmaeal Ghavanloo & S. Ahmad Fazelzadeh

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  1. Esmaeal Ghavanloo
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  2. S. Ahmad Fazelzadeh
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Correspondence to Esmaeal Ghavanloo.

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Ghavanloo, E., Fazelzadeh, S.A. Evaluation of nonlocal parameter for single-walled carbon nanotubes with arbitrary chirality. Meccanica 51, 41–54 (2016). https://doi.org/10.1007/s11012-015-0195-z

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  • DOI: https://doi.org/10.1007/s11012-015-0195-z

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