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    Analysis of the Second Mixed Boundary Value Problem for a Thin Plate

    Source: Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 003::page 555
    Author:
    Norio Hasebe
    ,
    Yoshihiro Ito
    ,
    Takuji Nakamura
    DOI: 10.1115/1.2901495
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The second mixed boundary value problem is solved by the classical theory of thin plate bending. The mixed boundary consists of a boundary (M ) on which one respective component of external force and deflective angle are given, and on the remaining boundary the external forces are given. The boundary (M ) is straight and the remaining boundary is arbitrary configuration. A closed solution is obtained. Complex stress functions and a rational mapping function are used. A half-plane with a crack is analyzed under a concentrated torsional moment. Stress distributions before and after the crack initiation, and stress intensity factors are obtained for from short to long cracks and for some Poisson’s ratio.
    keyword(s): Boundary-value problems , Stress , Fracture (Materials) , Force , Poisson ratio AND Functions ,
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      Analysis of the Second Mixed Boundary Value Problem for a Thin Plate

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/113058
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    contributor authorNorio Hasebe
    contributor authorYoshihiro Ito
    contributor authorTakuji Nakamura
    date accessioned2017-05-08T23:43:18Z
    date available2017-05-08T23:43:18Z
    date copyrightSeptember, 1994
    date issued1994
    identifier issn0021-8936
    identifier otherJAMCAV-26357#555_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/113058
    description abstractThe second mixed boundary value problem is solved by the classical theory of thin plate bending. The mixed boundary consists of a boundary (M ) on which one respective component of external force and deflective angle are given, and on the remaining boundary the external forces are given. The boundary (M ) is straight and the remaining boundary is arbitrary configuration. A closed solution is obtained. Complex stress functions and a rational mapping function are used. A half-plane with a crack is analyzed under a concentrated torsional moment. Stress distributions before and after the crack initiation, and stress intensity factors are obtained for from short to long cracks and for some Poisson’s ratio.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalysis of the Second Mixed Boundary Value Problem for a Thin Plate
    typeJournal Paper
    journal volume61
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2901495
    journal fristpage555
    journal lastpage559
    identifier eissn1528-9036
    keywordsBoundary-value problems
    keywordsStress
    keywordsFracture (Materials)
    keywordsForce
    keywordsPoisson ratio AND Functions
    treeJournal of Applied Mechanics:;1994:;volume( 061 ):;issue: 003
    contenttypeFulltext
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