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    A Solution of the Mixed Boundary Value Problem for an Infinite Plate With a Hole Under Uniform Heat Flux

    Source: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 004::page 996
    Author:
    Norio Hasebe
    ,
    Hideaki Irikura
    ,
    Takuji Nakamura
    DOI: 10.1115/1.2897719
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general solution of the mixed boundary value problem with displacements and external forces given on the boundary is obtained for an infinite plate with a hole subjected to uniform heat flux. Complex stress functions, a rational mapping function, and the dislocation method are used for the analysis. The stress function is obtained in a closed form and the first derivative is given by such a form that does not contain the integral term. The mapping function is represented in the form of a sum of fractional expressions. A problem is solved for a crack initiating from a point of a circular hole on which the displacement is rigidly stiffened. Stress distributions and stress intensity factors are calculated.
    keyword(s): Boundary-value problems , Heat flux , Stress , Fracture (Materials) , Force , Dislocations , Displacement AND Functions ,
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      A Solution of the Mixed Boundary Value Problem for an Infinite Plate With a Hole Under Uniform Heat Flux

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/107942
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    contributor authorNorio Hasebe
    contributor authorHideaki Irikura
    contributor authorTakuji Nakamura
    date accessioned2017-05-08T23:34:28Z
    date available2017-05-08T23:34:28Z
    date copyrightDecember, 1991
    date issued1991
    identifier issn0021-8936
    identifier otherJAMCAV-26335#996_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/107942
    description abstractA general solution of the mixed boundary value problem with displacements and external forces given on the boundary is obtained for an infinite plate with a hole subjected to uniform heat flux. Complex stress functions, a rational mapping function, and the dislocation method are used for the analysis. The stress function is obtained in a closed form and the first derivative is given by such a form that does not contain the integral term. The mapping function is represented in the form of a sum of fractional expressions. A problem is solved for a crack initiating from a point of a circular hole on which the displacement is rigidly stiffened. Stress distributions and stress intensity factors are calculated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Solution of the Mixed Boundary Value Problem for an Infinite Plate With a Hole Under Uniform Heat Flux
    typeJournal Paper
    journal volume58
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897719
    journal fristpage996
    journal lastpage1000
    identifier eissn1528-9036
    keywordsBoundary-value problems
    keywordsHeat flux
    keywordsStress
    keywordsFracture (Materials)
    keywordsForce
    keywordsDislocations
    keywordsDisplacement AND Functions
    treeJournal of Applied Mechanics:;1991:;volume( 058 ):;issue: 004
    contenttypeFulltext
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