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    General Deformations of Neo-Hookean Membranes

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001::page 7
    Author:
    W. H. Yang
    ,
    C. H. Lu
    DOI: 10.1115/1.3422977
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A set of three nonlinear partial-differential equations is derived for general finite deformations of a thin membrane. The material that composes the membrane is assumed to be hyperelastic. Its mechanical property is represented by the neo-Hookean strain-energy function. The equations reduce to special cases known in the literature. A fast convergent algorithm is developed. The numerical solutions to the finite-difference approximation of the differential equations are computed iteratively with a trivial initial iterant. As an example, the problem of inflating a rectangular membrane with fixed edges by a uniform pressure applied on one side is presented. The solutions and their convergence are displayed and discussed.
    keyword(s): Deformation , Membranes , Equations , Pressure , Mechanical properties , Algorithms , Differential equations AND Approximation ,
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      General Deformations of Neo-Hookean Membranes

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    http://yetl.yabesh.ir/yetl1/handle/yetl/163539
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    contributor authorW. H. Yang
    contributor authorC. H. Lu
    date accessioned2017-05-09T01:36:00Z
    date available2017-05-09T01:36:00Z
    date copyrightMarch, 1973
    date issued1973
    identifier issn0021-8936
    identifier otherJAMCAV-25974#7_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163539
    description abstractA set of three nonlinear partial-differential equations is derived for general finite deformations of a thin membrane. The material that composes the membrane is assumed to be hyperelastic. Its mechanical property is represented by the neo-Hookean strain-energy function. The equations reduce to special cases known in the literature. A fast convergent algorithm is developed. The numerical solutions to the finite-difference approximation of the differential equations are computed iteratively with a trivial initial iterant. As an example, the problem of inflating a rectangular membrane with fixed edges by a uniform pressure applied on one side is presented. The solutions and their convergence are displayed and discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleGeneral Deformations of Neo-Hookean Membranes
    typeJournal Paper
    journal volume40
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422977
    journal fristpage7
    journal lastpage12
    identifier eissn1528-9036
    keywordsDeformation
    keywordsMembranes
    keywordsEquations
    keywordsPressure
    keywordsMechanical properties
    keywordsAlgorithms
    keywordsDifferential equations AND Approximation
    treeJournal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001
    contenttypeFulltext
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