Buckling and post-buckling of graphene tubes

Mohamed B. Elgindi; Dongming Wei; Yu Liu; Hailan Xu

doi:10.1080/15376494.2014.981620

Buckling and post-buckling of graphene tubes

Mohamed B. Elgindi, Dongming Wei, Yu Liu, Hailan Xu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1080/15376494.2014.981620
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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AU - Xu, Hailan

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