Abstract
Buckling and post-buckling of a long, thin, inextensible tube made of graphene material acted upon by a uniform normal pressure are considered. A systemof differential equations governing the equilibrium states of such a tube is derived. Perturbation solutions are provided for the cases of pressure values close to the critical buckling pressures. A Matlab numerical solver based on Newton's and shooting methods are developed. The buckling and post-buckling shapes of the deformed tube subject to various levels of pressure are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 402-406 |
| Number of pages | 5 |
| Journal | Mechanics of Advanced Materials and Structures |
| Volume | 23 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2 2016 |
Keywords
- Graphene
- buckling and post-buckling
- deformation of circular tubes
- deformation of cylindrical tubes
- differential system of equations
ASJC Scopus subject areas
- Civil and Structural Engineering
- Mathematics(all)
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
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Cite this
Elgindi, M. B., Wei, D., Liu, Y., & Xu, H. (2016). Buckling and post-buckling of graphene tubes. Mechanics of Advanced Materials and Structures, 23(4), 402-406. https://doi.org/10.1080/15376494.2014.981620