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 | Middle East Conference on Biomedical Engineering, MECBME |
| Publisher | IEEE Computer Society |
| Pages | 79-82 |
| Number of pages | 4 |
| ISBN (Print) | 9781479947997 |
| DOIs | |
| Publication status | Published - 2014 |
| Externally published | Yes |
| Event | 2014 2nd Middle East Conference on Biomedical Engineering, MECBME 2014 - Doha, Qatar Duration: Feb 17 2014 → Feb 20 2014 |
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
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 proceeding › Conference contribution
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TY - GEN
T1 - An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load
AU - Elgindi, Mohamed B.
AU - Wei, Dongming
AU - Ghazy, Mohammed A.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84900824961&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84900824961&partnerID=8YFLogxK
U2 - 10.1109/MECBME.2014.6783211
DO - 10.1109/MECBME.2014.6783211
M3 - Conference contribution
SN - 9781479947997
SP - 79
EP - 82
BT - Middle East Conference on Biomedical Engineering, MECBME
PB - IEEE Computer Society
ER -