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    A Rigid Punch in Contact With a Nonhomogeneous Elastic Solid

    Source: Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 004::page 1019
    Author:
    M. K. Kassir
    ,
    M. F. Chuaprasert
    DOI: 10.1115/1.3423426
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper treats the axisymmetric problem of a rigid punch in contact with a nonhomogeneous elastic isotropic solid whose modulus of rigidity is a continuous function of the depth while the other elastic parameter, Poisson’s ratio, is assumed to be constant. An integral transform solution is given which reduces the formulation of the problem to a Fredholm integral equation of the second kind which is amenable to numerical treatment. The physical quantities of interest are studied in detail and illustrative numerical results for several punch profiles are obtained and exhibited in tabulated and graphical form.
    keyword(s): Poisson ratio , Fredholm integral equations AND Shear modulus ,
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      A Rigid Punch in Contact With a Nonhomogeneous Elastic Solid

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    http://yetl.yabesh.ir/yetl1/handle/yetl/164320
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    contributor authorM. K. Kassir
    contributor authorM. F. Chuaprasert
    date accessioned2017-05-09T01:37:21Z
    date available2017-05-09T01:37:21Z
    date copyrightDecember, 1974
    date issued1974
    identifier issn0021-8936
    identifier otherJAMCAV-26023#1019_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164320
    description abstractThis paper treats the axisymmetric problem of a rigid punch in contact with a nonhomogeneous elastic isotropic solid whose modulus of rigidity is a continuous function of the depth while the other elastic parameter, Poisson’s ratio, is assumed to be constant. An integral transform solution is given which reduces the formulation of the problem to a Fredholm integral equation of the second kind which is amenable to numerical treatment. The physical quantities of interest are studied in detail and illustrative numerical results for several punch profiles are obtained and exhibited in tabulated and graphical form.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Rigid Punch in Contact With a Nonhomogeneous Elastic Solid
    typeJournal Paper
    journal volume41
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423426
    journal fristpage1019
    journal lastpage1024
    identifier eissn1528-9036
    keywordsPoisson ratio
    keywordsFredholm integral equations AND Shear modulus
    treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 004
    contenttypeFulltext
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