Meshfree simulation of compressive buckling of single-walled carbon nanotubes using higher order Cauchy-Born rule

Yuzhou Sun*, K. M. Liew

*Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

Abstract

A meshfree computational scheme is developed to study the compressive deformation of single-walled carbon nanotubes (SWCNTs). The continuum constitutive relationship is based on an extended Cauchy-Born rule, the higher order Cauchy-Born rule, in which the atomic-scale deformed lattice vectors are calculated with both the first and second or er deformation gradients. The compression of CNTs is simulated, and the buckling behavior is displayed accurately. A numerical simulation is also carried out with the application of the standard Cauchy-Born rule, and the comparison indicates that consideration of the second-order deformation gradient is necessary for the continuum simulation of CNTs.

Original languageEnglish
Title of host publicationWorld Congress on Engineering 2007, Vols 1 and 2
PublisherINT ASSOC ENGINEERS-IAENG
Pages1193-1197
Number of pages5
ISBN (Print)978-988-98671-5-7
Publication statusPublished - 2007
EventWorld Congress on Engineering 2007 - London
Duration: 2 Jul 20074 Jul 2007

Publication series

NameLecture Notes in Engineering and Computer Science
PublisherINT ASSOC ENGINEERS-IAENG

Conference

ConferenceWorld Congress on Engineering 2007
CityLondon
Period2/07/074/07/07

Research Keywords

  • carbon nanotubes
  • higher order Cauchy-Born rule
  • continuum simulation
  • meshfree method
  • compression buckling
  • CONTINUUM ANALYSIS

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