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 contribution

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 publicationMiddle East Conference on Biomedical Engineering, MECBME
PublisherIEEE Computer Society
Pages79-82
Number of pages4
ISBN (Print)9781479947997
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event2014 2nd Middle East Conference on Biomedical Engineering, MECBME 2014 - Doha, Qatar
Duration: Feb 17 2014Feb 20 2014

Other

Other2014 2nd Middle East Conference on Biomedical Engineering, MECBME 2014
CountryQatar
CityDoha
Period2/17/142/20/14

Fingerprint

Elastoplasticity
Graphene
Buckling

ASJC Scopus subject areas

  • Biomedical Engineering

Cite this

Elgindi, M. B., Wei, D., & Ghazy, M. A. (2014). An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load. In Middle East Conference on Biomedical Engineering, MECBME (pp. 79-82). [6783211] IEEE Computer Society. https://doi.org/10.1109/MECBME.2014.6783211

An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load. / Elgindi, Mohamed B.; Wei, Dongming; Ghazy, Mohammed A.

Middle East Conference on Biomedical Engineering, MECBME. IEEE Computer Society, 2014. p. 79-82 6783211.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Elgindi, MB, Wei, D & Ghazy, MA 2014, An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load. in Middle East Conference on Biomedical Engineering, MECBME., 6783211, IEEE Computer Society, pp. 79-82, 2014 2nd Middle East Conference on Biomedical Engineering, MECBME 2014, Doha, Qatar, 2/17/14. https://doi.org/10.1109/MECBME.2014.6783211
Elgindi MB, Wei D, Ghazy MA. An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load. In Middle East Conference on Biomedical Engineering, MECBME. IEEE Computer Society. 2014. p. 79-82. 6783211 https://doi.org/10.1109/MECBME.2014.6783211
Elgindi, Mohamed B. ; Wei, Dongming ; Ghazy, Mohammed A. / An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load. Middle East Conference on Biomedical Engineering, MECBME. IEEE Computer Society, 2014. pp. 79-82
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