Buckling and post-buckling of graphene tubes

被引:4
|
作者
Elgindi, Mohamed B. [1 ]
Wei, Dongming [2 ]
Liu, Yu [3 ]
Xu, Hailan [4 ]
机构
[1] Texas A&M Univ Qatar, Fac Sci, Dept Math, Doha, Qatar
[2] Nazarbayev Univ, Sch Sci & Technol, Dept Math, Astana, Kazakhstan
[3] Univ New Orleans, Dept Elect Engn, New Orleans, LA 70148 USA
[4] Chongqing Vehicle Test & Res Inst, Chongqing, Peoples R China
关键词
graphene; buckling and post-buckling; deformation of cylindrical tubes; deformation of circular tubes; differential system of equations; DEFORMATION; RINGS;
D O I
10.1080/15376494.2014.981620
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Buckling and post-buckling of a long, thin, inextensible tube made of graphene material acted upon by a uniform normal pressure are considered. A system of 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.
引用
收藏
页码:402 / 406
页数:5
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