Buckling and post-buckling of graphene tubes

Mohamed B. 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 - Apr 2 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

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

    Cite this

    Buckling and post-buckling of graphene tubes. / Elgindi, Mohamed B.; 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 B. ; 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.
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