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    A New Boundary Element Method Formulation for Linear Elasticity

    Source: Journal of Applied Mechanics:;1986:;volume( 053 ):;issue: 001::page 69
    Author:
    N. Ghosh
    ,
    H. Rajiyah
    ,
    S. Ghosh
    ,
    S. Mukherjee
    DOI: 10.1115/1.3171741
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new boundary element formulation for linear elasticity problems is presented in this paper. The standard formulation for planar problems uses two kernels — one of which is logarithmic singular and the other is 1/r singular, where r is the distance between a source and a field point. The new formulation avoids the use of the strongly singular kernel so that both kernels are now only logarithmic singular. The new formulation has several potential advantages over the standard one, the most significant of which is that it delivers stresses accurately at internal points which are extremely close to the boundary of a body. Numerical results for sample problems, from each of the formulations, are presented and compared here.
    keyword(s): Elasticity , Boundary element methods AND Stress ,
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      A New Boundary Element Method Formulation for Linear Elasticity

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/100841
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    contributor authorN. Ghosh
    contributor authorH. Rajiyah
    contributor authorS. Ghosh
    contributor authorS. Mukherjee
    date accessioned2017-05-08T23:21:54Z
    date available2017-05-08T23:21:54Z
    date copyrightMarch, 1986
    date issued1986
    identifier issn0021-8936
    identifier otherJAMCAV-26265#69_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/100841
    description abstractA new boundary element formulation for linear elasticity problems is presented in this paper. The standard formulation for planar problems uses two kernels — one of which is logarithmic singular and the other is 1/r singular, where r is the distance between a source and a field point. The new formulation avoids the use of the strongly singular kernel so that both kernels are now only logarithmic singular. The new formulation has several potential advantages over the standard one, the most significant of which is that it delivers stresses accurately at internal points which are extremely close to the boundary of a body. Numerical results for sample problems, from each of the formulations, are presented and compared here.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA New Boundary Element Method Formulation for Linear Elasticity
    typeJournal Paper
    journal volume53
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3171741
    journal fristpage69
    journal lastpage76
    identifier eissn1528-9036
    keywordsElasticity
    keywordsBoundary element methods AND Stress
    treeJournal of Applied Mechanics:;1986:;volume( 053 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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