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Dynamic torsional buckling of multi-walled carbon nanotubes embedded in an elastic medium

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Abstract

In this paper the dynamic torsional buckling of multi-walled carbon nanotubes (MWNTs) embedded in an elastic medium is studied by using a continuum mechanics model. By introducing initial imperfections for MWNTs and applying the preferred mode analytical method, a buckling condition is derived for the buckling load and associated buckling mode. In particular, explicit expressions are obtained for embedded double-walled carbon nanotubes (DWNTs). Numerical results show that, for both the DWNTs and embedded DWNTs, the buckling form shifts from the lower buckling mode to the higher buckling mode with increasing the buckling load, but the buckling mode is invariable for a certain domain of the buckling load. It is also indicated that, the surrounding elastic medium generally has effect on the lower buckling mode of DWNTs only when compared with the corresponding one for individual DWNTs.

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Authors and Affiliations

  1. LTCS and Department of Mechanics & Aerospace Engineering, College of Engineering, Peking University, Beijing, 100871, China

    Chengqi Sun & Kaixin Liu

  2. Faculty of Engineering and Industrial Science, Swinburne University of Technology, Hawthorn, Melbourne, VIC, 3122, Australia

    Guoxing Lu

Authors
  1. Chengqi Sun
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  2. Kaixin Liu
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  3. Guoxing Lu
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Correspondence to Kaixin Liu.

Additional information

The Project supported by the National Natural Science Foundation of China (10572002 and 10732010).

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Sun, C., Liu, K. & Lu, G. Dynamic torsional buckling of multi-walled carbon nanotubes embedded in an elastic medium. Acta Mech Sin 24, 541–547 (2008). https://doi.org/10.1007/s10409-008-0174-x

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  • DOI: https://doi.org/10.1007/s10409-008-0174-x

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