An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load

  • Mohamed B. Elgindi
  • , Dongming Wei
  • , Mohammed A. Ghazy

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper buckling loads and modes of an Euler beam made of graphene are considered. An eigenvalue problem is formulated with an additional parameter representing material's elastoplasticity. Analytical approximate solution using the perturbation method is presented. This approximate solution is used as a basis for an iterative finite difference scheme to develop a more accurate solution. Deflection at points along the beam are calculated using this iterative finite difference scheme. Convergence with good accuracy is achieved.

Original languageEnglish
Title of host publication2014 Middle East Conference on Biomedical Engineering, MECBME 2014
PublisherIEEE Computer Society
Pages79-82
Number of pages4
ISBN (Print)9781479947997
DOIs
StatePublished - 2014
Externally publishedYes

Publication series

NameMiddle East Conference on Biomedical Engineering, MECBME
ISSN (Print)2165-4247
ISSN (Electronic)2165-4255

ASJC Scopus subject areas

  • Biomedical Engineering

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