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    Nature of Stress Singularities at the Reentrant Wedge Corner for a Branched Crack Problem

    Source: Journal of Applied Mechanics:;1999:;volume( 066 ):;issue: 001::page 278
    Author:
    A. S. Selvarathinam and
    ,
    J. G. Goree
    DOI: 10.1115/1.2789163
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The solution of the branched crack problem for an isotropic material, employing the dislocation method as developed by Lo (1978), results in a singular integral equation in which the slope of the crack-opening displacement is the unknown. In this brief note, using the function-theoretic method, the behavior of this unknown function is investigated at the corner where the branched and main crack meet and it is shown that the order of stress singularity obtained at the reentrant corner of the branched crack is given by the Williams’ (1952) characteristic equation for the isotropic wedge.
    keyword(s): Fracture (Materials) , Corners (Structural elements) , Wedges , Stress singularity , Dislocations , Displacement , Equations AND Integral equations ,
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      Nature of Stress Singularities at the Reentrant Wedge Corner for a Branched Crack Problem

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    https://yetl.yabesh.ir/yetl1/handle/yetl/121711
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    contributor authorA. S. Selvarathinam and
    contributor authorJ. G. Goree
    date accessioned2017-05-08T23:58:54Z
    date available2017-05-08T23:58:54Z
    date copyrightMarch, 1999
    date issued1999
    identifier issn0021-8936
    identifier otherJAMCAV-26464#278_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/121711
    description abstractThe solution of the branched crack problem for an isotropic material, employing the dislocation method as developed by Lo (1978), results in a singular integral equation in which the slope of the crack-opening displacement is the unknown. In this brief note, using the function-theoretic method, the behavior of this unknown function is investigated at the corner where the branched and main crack meet and it is shown that the order of stress singularity obtained at the reentrant corner of the branched crack is given by the Williams’ (1952) characteristic equation for the isotropic wedge.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNature of Stress Singularities at the Reentrant Wedge Corner for a Branched Crack Problem
    typeJournal Paper
    journal volume66
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2789163
    journal fristpage278
    journal lastpage280
    identifier eissn1528-9036
    keywordsFracture (Materials)
    keywordsCorners (Structural elements)
    keywordsWedges
    keywordsStress singularity
    keywordsDislocations
    keywordsDisplacement
    keywordsEquations AND Integral equations
    treeJournal of Applied Mechanics:;1999:;volume( 066 ):;issue: 001
    contenttypeFulltext
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