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    Use of “Simple Solutions” in Regularizing Hypersingular Boundary Integral Equations in Elastoplasticity

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 001::page 39
    Author:
    H. Poon
    ,
    S. Mukherjee
    ,
    M. Fouad Ahmad
    DOI: 10.1115/1.2789043
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The subject of this paper is the use of “simple solutions” or “modes” to regularize a hypersingular boundary integral equations (HBIE) for small strain elastoplasticity. A particularly simple form of the regularized HBIE is obtained by the use of three global “modes” of deformation: rigid-body displacement, linear displacement, and a fully constrained plastic solution. The resulting regularized HBIE is used in an implicit boundary element method (BEM) scheme for solving elastoplasticity problems. Numerical results are presented for an illustrative plane-strain example.
    keyword(s): Elastoplasticity , Integral equations , Boundary element methods , Displacement , Plane strain AND Deformation ,
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      Use of “Simple Solutions” in Regularizing Hypersingular Boundary Integral Equations in Elastoplasticity

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/119971
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    contributor authorH. Poon
    contributor authorS. Mukherjee
    contributor authorM. Fouad Ahmad
    date accessioned2017-05-08T23:55:45Z
    date available2017-05-08T23:55:45Z
    date copyrightMarch, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26435#39_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119971
    description abstractThe subject of this paper is the use of “simple solutions” or “modes” to regularize a hypersingular boundary integral equations (HBIE) for small strain elastoplasticity. A particularly simple form of the regularized HBIE is obtained by the use of three global “modes” of deformation: rigid-body displacement, linear displacement, and a fully constrained plastic solution. The resulting regularized HBIE is used in an implicit boundary element method (BEM) scheme for solving elastoplasticity problems. Numerical results are presented for an illustrative plane-strain example.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleUse of “Simple Solutions” in Regularizing Hypersingular Boundary Integral Equations in Elastoplasticity
    typeJournal Paper
    journal volume65
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2789043
    journal fristpage39
    journal lastpage45
    identifier eissn1528-9036
    keywordsElastoplasticity
    keywordsIntegral equations
    keywordsBoundary element methods
    keywordsDisplacement
    keywordsPlane strain AND Deformation
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 001
    contenttypeFulltext
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