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

Mohamed B. Elgindi; Dongming Wei; Mohammed A. Ghazy

doi:10.1109/MECBME.2014.6783211

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

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

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	2014 Middle East Conference on Biomedical Engineering, MECBME 2014
Publisher	IEEE Computer Society
Pages	79-82
Number of pages	4
ISBN (Print)	9781479947997
DOIs	https://doi.org/10.1109/MECBME.2014.6783211
Publication status	Published - Jan 1 2014
Event	2014 2nd Middle East Conference on Biomedical Engineering, MECBME 2014 - Doha, Qatar Duration: Feb 17 2014 → Feb 20 2014

Publication series

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

Other

Other	2014 2nd Middle East Conference on Biomedical Engineering, MECBME 2014
Country	Qatar
City	Doha
Period	2/17/14 → 2/20/14

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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 2014 Middle East Conference on Biomedical Engineering, MECBME 2014 (pp. 79-82). [6783211] (Middle East Conference on Biomedical Engineering, MECBME). 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.

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Elgindi, MB, 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, Middle East Conference on Biomedical Engineering, MECBME, 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

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Access to Document

10.1109/MECBME.2014.6783211