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    The Singular Stress Field of a Crack Terminating at a Frictional Interface Between Two Materials

    Source: Journal of Applied Mechanics:;1995:;volume( 062 ):;issue: 002::page 289
    Author:
    A. C. Wijeyewickrema
    ,
    J. Dundurs
    ,
    L. M. Keer
    DOI: 10.1115/1.2895930
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem of a crack terminating at an interface between two materials which is governed by Coulomb’s law of friction is studied using Mellin integral transforms. Depending on the relative slip directions of the two wedges that are created by the crack, both the case of the two wedges moving in opposite directions and that of the two wedges moving in the same direction are treated. The characteristic equations which yield the order of the crack-tip singularity are obtained in terms of the Dundurs constants, the inclination of the crack and the coefficient of friction. For the special case when the crack is perpendicular to the interface and the two wedges slip in opposite directions, it is shown that the problem decouples into mode I (symmetric) and mode II (antisymmetric) cracks, and numerical results are presented for this case.
    keyword(s): Stress , Fracture (Materials) , Wedges , Friction , Coulomb's law AND Equations ,
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      The Singular Stress Field of a Crack Terminating at a Frictional Interface Between Two Materials

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/114859
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    contributor authorA. C. Wijeyewickrema
    contributor authorJ. Dundurs
    contributor authorL. M. Keer
    date accessioned2017-05-08T23:46:26Z
    date available2017-05-08T23:46:26Z
    date copyrightJune, 1995
    date issued1995
    identifier issn0021-8936
    identifier otherJAMCAV-26363#289_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/114859
    description abstractThe problem of a crack terminating at an interface between two materials which is governed by Coulomb’s law of friction is studied using Mellin integral transforms. Depending on the relative slip directions of the two wedges that are created by the crack, both the case of the two wedges moving in opposite directions and that of the two wedges moving in the same direction are treated. The characteristic equations which yield the order of the crack-tip singularity are obtained in terms of the Dundurs constants, the inclination of the crack and the coefficient of friction. For the special case when the crack is perpendicular to the interface and the two wedges slip in opposite directions, it is shown that the problem decouples into mode I (symmetric) and mode II (antisymmetric) cracks, and numerical results are presented for this case.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Singular Stress Field of a Crack Terminating at a Frictional Interface Between Two Materials
    typeJournal Paper
    journal volume62
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2895930
    journal fristpage289
    journal lastpage293
    identifier eissn1528-9036
    keywordsStress
    keywordsFracture (Materials)
    keywordsWedges
    keywordsFriction
    keywordsCoulomb's law AND Equations
    treeJournal of Applied Mechanics:;1995:;volume( 062 ):;issue: 002
    contenttypeFulltext
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