Buckling and post-buckling of graphene tubes

Mohamed Elgindi, Dongming Wei, Yu Liu, Hailan Xu

Research output: Contribution to journalArticle

Abstract

Buckling and post-buckling of a long, thin, inextensible tube made of graphene material acted upon by a uniform normal pressure are considered. A systemof differential equations governing the equilibrium states of such a tube is derived. Perturbation solutions are provided for the cases of pressure values close to the critical buckling pressures. A Matlab numerical solver based on Newton's and shooting methods are developed. The buckling and post-buckling shapes of the deformed tube subject to various levels of pressure are presented.

Original languageEnglish
Pages (from-to)402-406
Number of pages5
JournalMechanics of Advanced Materials and Structures
Volume23
Issue number4
DOIs
Publication statusPublished - 2 Apr 2016

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Keywords

  • buckling and post-buckling
  • deformation of circular tubes
  • deformation of cylindrical tubes
  • differential system of equations
  • Graphene

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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