Binding energy and mechanical stability of two parallel and crossing carbon nanotubes

Junhua Zhao, Yue Jia, Ning Wei, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


The binding energy between two parallel (and two crossing) single-walled (and multi-walled) carbon nanotubes (CNTs) is obtained by continuum modelling of the van der Waals interaction between them. The dependence of the binding energy on their diameters, number of walls and crossing angles is systematically analysed. The critical length for the mechanical stability and adhesion of the CNTs is determined by the function of EiIi, h and γ, where EiIi, h and γ are the CNTs bending stiffness, distance and binding energy between them, respectively. Checking against full atom molecular dynamics calculations show that the continuum solution has high accuracy. The established analytical solutions should be of great help for designing nanoelectromechanical devices.

Original languageEnglish
Article number20150229
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2180
Publication statusPublished - 2015 Aug 8

Bibliographical note

Publisher Copyright:
© 2015 The Author(s) Published by the Royal Society. All rights reserved.


  • Beam model
  • Binding energy
  • Carbon nanotubes

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy


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