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

Mohamed 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 publication2014 Middle East Conference on Biomedical Engineering, MECBME 2014
PublisherIEEE Computer Society
Pages79-82
Number of pages4
ISBN (Print)9781479947997
DOIs
Publication statusPublished - 2014
Event2014 2nd Middle East Conference on Biomedical Engineering, MECBME 2014 - Doha, Qatar
Duration: 17 Feb 201420 Feb 2014

Other

Other2014 2nd Middle East Conference on Biomedical Engineering, MECBME 2014
CountryQatar
CityDoha
Period17/2/1420/2/14

Fingerprint

Elastoplasticity
Graphene
Buckling

ASJC Scopus subject areas

  • Biomedical Engineering

Cite this

Elgindi, M., Wei, D., & Ghazy, M. A. (2014). An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load. In 2014 Middle East Conference on Biomedical Engineering, MECBME 2014 (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; Wei, Dongming; Ghazy, Mohammed A.

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

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

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