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    An Integral Equation Approach to the Inclusion Problem of Elastoplasticity

    Source: Journal of Applied Mechanics:;1982:;volume( 049 ):;issue: 002::page 312
    Author:
    W. C. Johnson
    ,
    J. K. Lee
    DOI: 10.1115/1.3162086
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An integral equation approach is derived for the calculation of the elastoplastic strain field associated with a transformed inclusion of constant stress-free transformation strain and for an inhomogeneity when the far stress field remains elastic. The assumptions of a coherent precipitate and the deformation theory of plasticity are employed although any yield condition and flow rule can be chosen. The complexity of the integral equation is such that an iterative solution scheme is necessary. The technique is applied to a spherical precipitate in a uniform elastic stress field where associated stress and strain fields and plastic zone are calculated. The nature of the plastic relaxation process compares qualitatively with two-dimensional plane stress behavior. Extension of this technique to the nonaxisymmetric problem is also examined.
    keyword(s): Elastoplasticity , Integral equations , Stress , Flow (Dynamics) , Plasticity , Deformation AND Relaxation (Physics) ,
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      An Integral Equation Approach to the Inclusion Problem of Elastoplasticity

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/95393
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    contributor authorW. C. Johnson
    contributor authorJ. K. Lee
    date accessioned2017-05-08T23:12:33Z
    date available2017-05-08T23:12:33Z
    date copyrightJune, 1982
    date issued1982
    identifier issn0021-8936
    identifier otherJAMCAV-26199#312_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/95393
    description abstractAn integral equation approach is derived for the calculation of the elastoplastic strain field associated with a transformed inclusion of constant stress-free transformation strain and for an inhomogeneity when the far stress field remains elastic. The assumptions of a coherent precipitate and the deformation theory of plasticity are employed although any yield condition and flow rule can be chosen. The complexity of the integral equation is such that an iterative solution scheme is necessary. The technique is applied to a spherical precipitate in a uniform elastic stress field where associated stress and strain fields and plastic zone are calculated. The nature of the plastic relaxation process compares qualitatively with two-dimensional plane stress behavior. Extension of this technique to the nonaxisymmetric problem is also examined.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Integral Equation Approach to the Inclusion Problem of Elastoplasticity
    typeJournal Paper
    journal volume49
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3162086
    journal fristpage312
    journal lastpage318
    identifier eissn1528-9036
    keywordsElastoplasticity
    keywordsIntegral equations
    keywordsStress
    keywordsFlow (Dynamics)
    keywordsPlasticity
    keywordsDeformation AND Relaxation (Physics)
    treeJournal of Applied Mechanics:;1982:;volume( 049 ):;issue: 002
    contenttypeFulltext
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