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    Finite Elastic Deformation Governed by Linear Equations

    Source: Journal of Applied Mechanics:;1986:;volume( 053 ):;issue: 004::page 819
    Author:
    Joseph B. Keller
    DOI: 10.1115/1.3171864
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: It is observed that the equations of motion governing finite elastic deformation are linear if and only if the Piola-Kirchhoff stress tensor is linear in the deformation gradient. Then the three components of displacement satisfy uncoupled linear equations. These equations are used to solve some problems of finite deformation.
    keyword(s): Deformation , Equations , Gradients , Stress tensors , Equations of motion AND Displacement ,
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      Finite Elastic Deformation Governed by Linear Equations

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    https://yetl.yabesh.ir/yetl1/handle/yetl/100674
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    contributor authorJoseph B. Keller
    date accessioned2017-05-08T23:21:41Z
    date available2017-05-08T23:21:41Z
    date copyrightDecember, 1986
    date issued1986
    identifier issn0021-8936
    identifier otherJAMCAV-26274#819_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/100674
    description abstractIt is observed that the equations of motion governing finite elastic deformation are linear if and only if the Piola-Kirchhoff stress tensor is linear in the deformation gradient. Then the three components of displacement satisfy uncoupled linear equations. These equations are used to solve some problems of finite deformation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFinite Elastic Deformation Governed by Linear Equations
    typeJournal Paper
    journal volume53
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3171864
    journal fristpage819
    journal lastpage820
    identifier eissn1528-9036
    keywordsDeformation
    keywordsEquations
    keywordsGradients
    keywordsStress tensors
    keywordsEquations of motion AND Displacement
    treeJournal of Applied Mechanics:;1986:;volume( 053 ):;issue: 004
    contenttypeFulltext
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