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    Unilaterally Supported Plates on Elastic Foundations by the Boundary Element Method

    Source: Journal of Applied Mechanics:;1992:;volume( 059 ):;issue: 003::page 580
    Author:
    E. J. Sapountzakis
    ,
    J. T. Katsikadelis
    DOI: 10.1115/1.2893763
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A boundary element solution is developed for the unilateral contact problem of a thin elastic plate resting on elastic homogeneous or nonhomogeneous subgrade. The reaction of the subgrade may depend linearly, or nonlinearly, on the deflection of the plate. The contact between the plate and the subgrade is unbonded. The subgrade surface is not necessarily plane, and miscontact between plate and subgrade due to initial gaps is also encountered. The solution procedure is based on the integral representation of the deflection for the biharmonic equation in which the unknown subgrade reaction is treated as loading term. The effectiveness of the proposed method is illustrated by several examples.
    keyword(s): Boundary element methods , Plates (structures) , Deflection , Elastic plates AND Equations ,
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      Unilaterally Supported Plates on Elastic Foundations by the Boundary Element Method

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/109671
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    • Journal of Applied Mechanics

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    contributor authorE. J. Sapountzakis
    contributor authorJ. T. Katsikadelis
    date accessioned2017-05-08T23:37:25Z
    date available2017-05-08T23:37:25Z
    date copyrightSeptember, 1992
    date issued1992
    identifier issn0021-8936
    identifier otherJAMCAV-26343#580_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109671
    description abstractA boundary element solution is developed for the unilateral contact problem of a thin elastic plate resting on elastic homogeneous or nonhomogeneous subgrade. The reaction of the subgrade may depend linearly, or nonlinearly, on the deflection of the plate. The contact between the plate and the subgrade is unbonded. The subgrade surface is not necessarily plane, and miscontact between plate and subgrade due to initial gaps is also encountered. The solution procedure is based on the integral representation of the deflection for the biharmonic equation in which the unknown subgrade reaction is treated as loading term. The effectiveness of the proposed method is illustrated by several examples.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleUnilaterally Supported Plates on Elastic Foundations by the Boundary Element Method
    typeJournal Paper
    journal volume59
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2893763
    journal fristpage580
    journal lastpage586
    identifier eissn1528-9036
    keywordsBoundary element methods
    keywordsPlates (structures)
    keywordsDeflection
    keywordsElastic plates AND Equations
    treeJournal of Applied Mechanics:;1992:;volume( 059 ):;issue: 003
    contenttypeFulltext
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