An energy-equivalent model on studying the mechanical properties of single-walled carbon nanotubes

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Author(s)

  • Yongdong Wu
  • Xiaochun Zhang
  • A. Y T Leung
  • Weifang Zhong

Detail(s)

Original languageEnglish
Pages (from-to)667-676
Journal / PublicationThin-Walled Structures
Volume44
Issue number6
Publication statusPublished - Jun 2006

Abstract

In this paper, an energy-equivalent model is put forward for studying the mechanical properties of single-walled carbon nanotubes (SWCNTs). The equivalent Young's modulus and shear modulus for both armchair and zigzag SWCNTs are derived by combining the methods of molecular mechanics and continuum mechanics. On the one hand, based on the principle of molecular mechanics, the total system potential energy associated with both stretching and angular variations is obtained. On the other hand, considering SWCNT as a thin cylinder subjected to an axial or torsion loading, the strain energy can be obtained based on continuum mechanics. Equating the total system potential energy to the strain energy, one derives the equivalent Young's modulus, shear modulus and Poisson's ratio. Finally, computations of the mechanical properties reveal that the elastic constants exhibit a strong dependence on the diameter of nanotubes. Young's modulus and shear modulus for both armchair and zigzag nanotubes increase with increasing tube diameter, but the variation trend of Poisson's ratios is reverse. The present results agree well with existing results and approach to those of carbon graphite when the diameter is large. Therefore, the method presented here is valid for both carbon nano-tubes and carbon graphite. © 2006 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Carbon nanotubes, Energy-equivalent model, Mechanical properties, Potential function

Citation Format(s)

An energy-equivalent model on studying the mechanical properties of single-walled carbon nanotubes. / Wu, Yongdong; Zhang, Xiaochun; Leung, A. Y T; Zhong, Weifang.

In: Thin-Walled Structures, Vol. 44, No. 6, 06.2006, p. 667-676.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal