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    Elastic Layer Pressed Against a Half Space

    Source: Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 003::page 703
    Author:
    K. C. Tsai
    ,
    J. Dundurs
    ,
    L. M. Keer
    DOI: 10.1115/1.3423375
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The paper considers the elastic layer which is pressed against a half space by loads that are not necessarily symmetric about the center of the loaded region. It is shown that the receding contact between the two bodies can be treated by means of superposition, leading to two homogeneous Fredholm integral equations for auxiliary functions that are directly related to the contact tractions. The determination of the extent of contact and the shift between the load and contact intervals can be viewed as an eigenvalue problem of the homogeneous integral equations. Specific numerical results are given for two types of triangular loads, and a comparison is made with certain symmetric loads.
    keyword(s): Elastic half space , Stress , Eigenvalues , Fredholm integral equations , Functions AND Integral equations ,
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      Elastic Layer Pressed Against a Half Space

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/164398
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    contributor authorK. C. Tsai
    contributor authorJ. Dundurs
    contributor authorL. M. Keer
    date accessioned2017-05-09T01:37:30Z
    date available2017-05-09T01:37:30Z
    date copyrightSeptember, 1974
    date issued1974
    identifier issn0021-8936
    identifier otherJAMCAV-26015#703_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164398
    description abstractThe paper considers the elastic layer which is pressed against a half space by loads that are not necessarily symmetric about the center of the loaded region. It is shown that the receding contact between the two bodies can be treated by means of superposition, leading to two homogeneous Fredholm integral equations for auxiliary functions that are directly related to the contact tractions. The determination of the extent of contact and the shift between the load and contact intervals can be viewed as an eigenvalue problem of the homogeneous integral equations. Specific numerical results are given for two types of triangular loads, and a comparison is made with certain symmetric loads.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleElastic Layer Pressed Against a Half Space
    typeJournal Paper
    journal volume41
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423375
    journal fristpage703
    journal lastpage707
    identifier eissn1528-9036
    keywordsElastic half space
    keywordsStress
    keywordsEigenvalues
    keywordsFredholm integral equations
    keywordsFunctions AND Integral equations
    treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 003
    contenttypeFulltext
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