Buckling and post-buckling of graphene tubes

Mohamed Elgindi, Dongming Wei, Yu Liu, Hailan Xu

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)402-406
Number of pages5
JournalMechanics of Advanced Materials and Structures
Volume23
Issue number4
DOIs
Publication statusPublished - 2 Apr 2016

Fingerprint

Postbuckling
Graphite
Graphene
Buckling
Tube
Inextensible
Perturbation Solution
Shooting Method
Equilibrium State
Newton Methods
MATLAB
Differential equation
Differential equations

Keywords

  • buckling and post-buckling
  • deformation of circular tubes
  • deformation of cylindrical tubes
  • differential system of equations
  • Graphene

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Buckling and post-buckling of graphene tubes. / Elgindi, Mohamed; Wei, Dongming; Liu, Yu; Xu, Hailan.

In: Mechanics of Advanced Materials and Structures, Vol. 23, No. 4, 02.04.2016, p. 402-406.

Research output: Contribution to journalArticle

Elgindi, Mohamed ; Wei, Dongming ; Liu, Yu ; Xu, Hailan. / Buckling and post-buckling of graphene tubes. In: Mechanics of Advanced Materials and Structures. 2016 ; Vol. 23, No. 4. pp. 402-406.
@article{432404d1037045c2aba192de1653676a,
title = "Buckling and post-buckling of graphene tubes",
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.",
keywords = "buckling and post-buckling, deformation of circular tubes, deformation of cylindrical tubes, differential system of equations, Graphene",
author = "Mohamed Elgindi and Dongming Wei and Yu Liu and Hailan Xu",
year = "2016",
month = "4",
day = "2",
doi = "10.1080/15376494.2014.981620",
language = "English",
volume = "23",
pages = "402--406",
journal = "Mechanics of Advanced Materials and Structures",
issn = "1521-0596",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

TY - JOUR

T1 - Buckling and post-buckling of graphene tubes

AU - Elgindi, Mohamed

AU - Wei, Dongming

AU - Liu, Yu

AU - Xu, Hailan

PY - 2016/4/2

Y1 - 2016/4/2

N2 - 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.

AB - 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.

KW - buckling and post-buckling

KW - deformation of circular tubes

KW - deformation of cylindrical tubes

KW - differential system of equations

KW - Graphene

UR - http://www.scopus.com/inward/record.url?scp=84949672200&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84949672200&partnerID=8YFLogxK

U2 - 10.1080/15376494.2014.981620

DO - 10.1080/15376494.2014.981620

M3 - Article

VL - 23

SP - 402

EP - 406

JO - Mechanics of Advanced Materials and Structures

JF - Mechanics of Advanced Materials and Structures

SN - 1521-0596

IS - 4

ER -