Numerical analyses for the atomistic-based shell theory of carbon nanotubes

J. Wu, Z. Zhang, B. Liu, K. C. Hwang, Y. Huang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

A shell theory established from the interatomic potential for carbon nanotubes is compared with the atomistic simulations. This shell theory is implemented in the finite element program ABAQUS via its user-material subroutine UGENS for shells. The numerical results for the representative loadings of tension, torsion and bending agree well with the atomistic simulations, which provide direct validation of this atomistic-based shell theory for carbon nanotubes.

Original languageEnglish (US)
Pages (from-to)1879-1887
Number of pages9
JournalInternational journal of plasticity
Volume25
Issue number10
DOIs
StatePublished - Oct 2009

Funding

Y.H. acknowledges the supports from the NSF through Nano-CEMMS (Grant #DMI03-28162) at the University of Illinois and ONR Composites for Marine Structures Program (Grant N00014-01-1-0205, Program Manager Dr. Y.D.S. Rajapakse). The authors also acknowledge the supports from the NSFC and Ministry of Education of China. K.C. Hwang also acknowledges the support from National Basic Research Program of China (973 Program) Grant No. 2007CB936803.

Keywords

  • Carbon nanotube
  • Interatomic potential
  • Numerical method
  • Shell theory

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering

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