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    Crack due to Wedge‐Shaped Punch with Friction

    Source: Journal of Engineering Mechanics:;1990:;Volume ( 116 ):;issue: 010
    Author:
    Mikiya Okumura
    ,
    Norio Hasebe
    ,
    Takuji Nakamura
    DOI: 10.1061/(ASCE)0733-9399(1990)116:10(2173)
    Publisher: American Society of Civil Engineers
    Abstract: A solution is found for a cracked half‐plane loaded by a wedge‐shaped rigid punch with friction. It is assumed that Coulomb's friction law is applied between the punch and the matrix and that the contact region is straight. Since the punch ends are sharp corners, stresses become singular and a crack begins from the punch end. An analytical solution is obtained by means of a rational mapping function and complex stress functions. Stress distributions, stress‐intensity factors, and resultant moments are shown for various angles of the wedge‐shaped punch. The conditions for crack initiation are also investigated for the various combinations of coefficient of friction, loading, and angle. When a flat‐ended punch is subjected to rotation, the stress‐intensity factor of the opening mode vanishes for a certain frictional coefficient
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      Crack due to Wedge‐Shaped Punch with Friction

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/81287
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    contributor authorMikiya Okumura
    contributor authorNorio Hasebe
    contributor authorTakuji Nakamura
    date accessioned2017-05-08T22:28:48Z
    date available2017-05-08T22:28:48Z
    date copyrightOctober 1990
    date issued1990
    identifier other%28asce%290733-9399%281990%29116%3A10%282173%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/81287
    description abstractA solution is found for a cracked half‐plane loaded by a wedge‐shaped rigid punch with friction. It is assumed that Coulomb's friction law is applied between the punch and the matrix and that the contact region is straight. Since the punch ends are sharp corners, stresses become singular and a crack begins from the punch end. An analytical solution is obtained by means of a rational mapping function and complex stress functions. Stress distributions, stress‐intensity factors, and resultant moments are shown for various angles of the wedge‐shaped punch. The conditions for crack initiation are also investigated for the various combinations of coefficient of friction, loading, and angle. When a flat‐ended punch is subjected to rotation, the stress‐intensity factor of the opening mode vanishes for a certain frictional coefficient
    publisherAmerican Society of Civil Engineers
    titleCrack due to Wedge‐Shaped Punch with Friction
    typeJournal Paper
    journal volume116
    journal issue10
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(1990)116:10(2173)
    treeJournal of Engineering Mechanics:;1990:;Volume ( 116 ):;issue: 010
    contenttypeFulltext
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