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    Quasi-Bifurcation in Dynamics of Elastic-Plastic Continua

    Source: Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 003::page 413
    Author:
    L. H. N. Lee
    DOI: 10.1115/1.3424093
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this study, a stability concept in terms of the properties of an effective force field is introduced. A criterion for determining certain infinitesimal disturbances which may amplify with time in an elastic-plastic body subject to prescribed initial, kinematic, and time-dependent traction boundary conditions is introduced and developed. The body may be made of a general work-hardening continuum having a piecewise continuous motion and finite deformation. The transition from the dynamic criterion to Hill’s quasi-static bifurcation criterion is indicated.
    keyword(s): Dynamics (Mechanics) , Bifurcation , Boundary-value problems , Traction , Work hardening , Force , Stability , Deformation AND Motion ,
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      Quasi-Bifurcation in Dynamics of Elastic-Plastic Continua

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    contributor authorL. H. N. Lee
    date accessioned2017-05-08T23:02:14Z
    date available2017-05-08T23:02:14Z
    date copyrightSeptember, 1977
    date issued1977
    identifier issn0021-8936
    identifier otherJAMCAV-26077#413_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/89488
    description abstractIn this study, a stability concept in terms of the properties of an effective force field is introduced. A criterion for determining certain infinitesimal disturbances which may amplify with time in an elastic-plastic body subject to prescribed initial, kinematic, and time-dependent traction boundary conditions is introduced and developed. The body may be made of a general work-hardening continuum having a piecewise continuous motion and finite deformation. The transition from the dynamic criterion to Hill’s quasi-static bifurcation criterion is indicated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleQuasi-Bifurcation in Dynamics of Elastic-Plastic Continua
    typeJournal Paper
    journal volume44
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424093
    journal fristpage413
    journal lastpage418
    identifier eissn1528-9036
    keywordsDynamics (Mechanics)
    keywordsBifurcation
    keywordsBoundary-value problems
    keywordsTraction
    keywordsWork hardening
    keywordsForce
    keywordsStability
    keywordsDeformation AND Motion
    treeJournal of Applied Mechanics:;1977:;volume( 044 ):;issue: 003
    contenttypeFulltext
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