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    Finite Deflections of a Nonlinearly Elastic Bar

    Source: Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 001::page 48
    Author:
    J. T. Oden
    ,
    S. B. Childs
    DOI: 10.1115/1.3408488
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem of finite deflections of a nonlinearly elastic bar is investigated as an extension of the classical theory of the elastica to include material nonlinearities. A moment-curvature relation in the form of a hyperbolic tangent law is introduced to simulate that of a class of elastoplastic materials. The problem of finite deflections of a clamped-end bar subjected to an axial force is given special attention, and numerical solutions to the resulting system of nonlinear differential equations are obtained. Tables of results for various values of the parameters defining the material are provided and solutions are compared with those of the classical theory of the elastica.
    keyword(s): Deflection , Nonlinear differential equations AND Force ,
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      Finite Deflections of a Nonlinearly Elastic Bar

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    contributor authorJ. T. Oden
    contributor authorS. B. Childs
    date accessioned2017-05-09T00:34:41Z
    date available2017-05-09T00:34:41Z
    date copyrightMarch, 1970
    date issued1970
    identifier issn0021-8936
    identifier otherJAMCAV-25906#48_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/141556
    description abstractThe problem of finite deflections of a nonlinearly elastic bar is investigated as an extension of the classical theory of the elastica to include material nonlinearities. A moment-curvature relation in the form of a hyperbolic tangent law is introduced to simulate that of a class of elastoplastic materials. The problem of finite deflections of a clamped-end bar subjected to an axial force is given special attention, and numerical solutions to the resulting system of nonlinear differential equations are obtained. Tables of results for various values of the parameters defining the material are provided and solutions are compared with those of the classical theory of the elastica.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFinite Deflections of a Nonlinearly Elastic Bar
    typeJournal Paper
    journal volume37
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3408488
    journal fristpage48
    journal lastpage52
    identifier eissn1528-9036
    keywordsDeflection
    keywordsNonlinear differential equations AND Force
    treeJournal of Applied Mechanics:;1970:;volume( 037 ):;issue: 001
    contenttypeFulltext
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