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    Causes and Consequences of Nonuniqueness in an Elastic/Perfectly-Plastic Truss

    Source: Journal of Applied Mechanics:;1986:;volume( 053 ):;issue: 002::page 235
    Author:
    P. G. Hodge
    ,
    K.-J. Bathe
    ,
    E. N. Dvorkin
    DOI: 10.1115/1.3171746
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A complete solution to collapse is given for a three-bar symmetric truss made of an elastic/perfectly-plastic material, using linear statics and kinematics, and the solution is found to be partially nonunique in the range of contained plastic deformation. The introduction of a first-order deviation from symmetry and/or the inclusion of first-order nonlinear terms in the equilibrium equations is found to restore uniqueness. The significance of these effects is analyzed and discussed from mathematical, physical, modelling, computational, and engineering points of view.
    keyword(s): Trusses (Building) , Equilibrium (Physics) , Modeling , Statics , Collapse , Equations , Kinematics AND Deformation ,
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      Causes and Consequences of Nonuniqueness in an Elastic/Perfectly-Plastic Truss

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/100766
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    contributor authorP. G. Hodge
    contributor authorK.-J. Bathe
    contributor authorE. N. Dvorkin
    date accessioned2017-05-08T23:21:49Z
    date available2017-05-08T23:21:49Z
    date copyrightJune, 1986
    date issued1986
    identifier issn0021-8936
    identifier otherJAMCAV-26268#235_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/100766
    description abstractA complete solution to collapse is given for a three-bar symmetric truss made of an elastic/perfectly-plastic material, using linear statics and kinematics, and the solution is found to be partially nonunique in the range of contained plastic deformation. The introduction of a first-order deviation from symmetry and/or the inclusion of first-order nonlinear terms in the equilibrium equations is found to restore uniqueness. The significance of these effects is analyzed and discussed from mathematical, physical, modelling, computational, and engineering points of view.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleCauses and Consequences of Nonuniqueness in an Elastic/Perfectly-Plastic Truss
    typeJournal Paper
    journal volume53
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3171746
    journal fristpage235
    journal lastpage241
    identifier eissn1528-9036
    keywordsTrusses (Building)
    keywordsEquilibrium (Physics)
    keywordsModeling
    keywordsStatics
    keywordsCollapse
    keywordsEquations
    keywordsKinematics AND Deformation
    treeJournal of Applied Mechanics:;1986:;volume( 053 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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