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Bending buckling behavior of perfect and defective single-walled carbon nanotubes via a structural mechanics model

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Abstract

A structural mechanics model is employed for the investigation of the bending buckling behavior of perfect and defective single-walled carbon nanotubes (SWCNTs). The effects of different types of defects (vacancies and Stone–Wales defects) at various locations on the critical bending buckling moments and curvatures are also studied for zigzag and armchair nanotubes with various aspect ratios (length/diameter). The locations of defects are along the length of the nanotube and around the circumference. Moreover, the results of this structural mechanics model are compared with a finite element model. The simple continuum model, especially, could be adopted to predict the critical buckling moments and curvatures of SWCNTs with large aspect ratio. Finally, the results of the present structural model are compared with those from molecular dynamics (MD) simulation, and there is good agreement between our model and the MD model.

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References

  1. Ijima S.: Helical microtubules of graphitic carbon. Nature 354, 56–58 (1991)

    Article  Google Scholar 

  2. Wang X., Wang X.Y., Xiao J.A.: A nonlinear analysis of the bending modulus of carbon nanotubes with rippling deformation. Compos. Struct. 69, 315–321 (2005)

    Article  Google Scholar 

  3. Yao X., Han Q., Xin H.: Bending buckling behaviors of single- and multi-walled carbon nanotubes. Comput. Mater. Sci. 43, 579–590 (2008)

    Article  Google Scholar 

  4. Guo X., Leung A.Y.T., He X.Q., Jiang H., Huang Y.: Bending buckling of single-walled carbon nanotubes by atomic-scale finite element. Compos. Part B Eng. 39, 202–208 (2008)

    Article  Google Scholar 

  5. Leung A.Y.T., Guo X., He X.Q., Kitipornchai S.A.: A continuum model for zigzag single-walled carbon nanotubes. Appl. Phys. Lett. 86, 083110-1-3 (2005)

    Article  Google Scholar 

  6. Odegard, G.M., Gates, T.S., Nicholson, L.M., Wise, K.E.: Equivalent-continuum modeling with application to carbon nanotubes. NASA/TM, 211454 (2002)

  7. Han Q., Lu G., Dai L.: Bending instability of an embedded double-walled carbon nanotube based on Winkler and van der Waals models. Compos. Sci. Technol. 65, 1337–1346 (2005)

    Article  Google Scholar 

  8. Sun Y., Liew K.M.: The buckling of single-walled carbon nanotubes upon bending: The higher order gradient continuum and mesh-free method. Comput. Methods Appl. Mech. Eng. 197, 3001–3013 (2008)

    Article  MATH  Google Scholar 

  9. Parvaneh V., Shariati M., Majd A.M.: Investigation of defects effects on the buckling behavior of SWCNTs via a structural mechanics approach. Eur. J. Mech. A Solids 28, 1072–1078 (2009)

    Article  MATH  Google Scholar 

  10. Rappe A.K., Casewit C.J., Colwell K.S. et al.: A full periodic-table force-field for molecular mechanics and molecular dynamics simulations. J. Am. Chem. Soc. 114, 10024–10035 (1992)

    Article  Google Scholar 

  11. Belytschko T., Xiao S.P., Schatz G.C., Ruoff R.S.: Atomistic simulations of nanotube fracture. Phys. Rev. B 65, 235–430 (2002)

    Article  Google Scholar 

  12. Cornell W.D., Cieplak P., Bayly C.I. et al.: A second generation force-field for the simulation of proteins, nucleic-acids, and organic-molecules. J. Am. Chem. Soc. 117, 5179–5197 (1995)

    Article  Google Scholar 

  13. Yakobson B.I., Brabec C.J., Bernholc J.: Nanomechanics of carbon tubes: instability beyond linear response. Phys. Rev. Lett. 76, 2511–2514 (1996)

    Article  Google Scholar 

  14. Cao G.X., Chen X.: Buckling of single-walled carbon nanotubes upon bending: molecular dynamics simulations and finite element methods. Phys. Rev. B. 73(155435), 1–10 (2006)

    Google Scholar 

  15. Guo X., Leung A.Y.T., Jiang H., He X.Q., Huang Y.: Critical strain of carbon nanotubes: an atomic-scale finite element study. J. Appl. Mech. Trans. ASME 74, 347–351 (2007)

    Article  MATH  Google Scholar 

  16. Leung A.Y.T., Guo X., He X.Q., Jiang H., Huang Y.: Postbuckling of carbon nanotubes by atomic-scale finite element. J. Appl. Phys. 99, 124308 (2006)

    Article  Google Scholar 

  17. Leung A.Y.T., Guo X., He X.Q.: Torsional buckling of single-walled carbon nanotubes. Comput. Methods Appl. Sci. 9, 1–8 (2008)

    Article  Google Scholar 

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Correspondence to Vali Parvaneh.

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Parvaneh, V., Shariati, M. & Torabi, H. Bending buckling behavior of perfect and defective single-walled carbon nanotubes via a structural mechanics model. Acta Mech 223, 2369–2378 (2012). https://doi.org/10.1007/s00707-012-0711-3

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  • DOI: https://doi.org/10.1007/s00707-012-0711-3

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