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    Convergence of the Finite Element Method in the Theory of Elasticity

    Source: Journal of Applied Mechanics:;1968:;volume( 035 ):;issue: 002::page 274
    Author:
    M. W. Johnson
    ,
    R. W. McLay
    DOI: 10.1115/1.3601191
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The foundations of the theory of the finite element method as it applies to linear elasticity are investigated. A particular boundary-value problem in plane stress is considered and the variational principle for the finite element method is shown to be equivalent to it. Mean and uniform convergence of the finite element solution to that of the boundary-value problem is demonstrated with careful consideration given to the stress singularities. A counterexample is presented in which a set of functions, admissible to the variational principle, is shown not to converge.
    keyword(s): Elasticity , Finite element methods , Boundary-value problems , Variational principles , Functions , Stress singularity , Finite element analysis AND Stress ,
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      Convergence of the Finite Element Method in the Theory of Elasticity

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    https://yetl.yabesh.ir/yetl1/handle/yetl/124656
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    contributor authorM. W. Johnson
    contributor authorR. W. McLay
    date accessioned2017-05-09T00:03:58Z
    date available2017-05-09T00:03:58Z
    date copyrightJune, 1968
    date issued1968
    identifier issn0021-8936
    identifier otherJAMCAV-25871#274_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/124656
    description abstractThe foundations of the theory of the finite element method as it applies to linear elasticity are investigated. A particular boundary-value problem in plane stress is considered and the variational principle for the finite element method is shown to be equivalent to it. Mean and uniform convergence of the finite element solution to that of the boundary-value problem is demonstrated with careful consideration given to the stress singularities. A counterexample is presented in which a set of functions, admissible to the variational principle, is shown not to converge.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleConvergence of the Finite Element Method in the Theory of Elasticity
    typeJournal Paper
    journal volume35
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3601191
    journal fristpage274
    journal lastpage278
    identifier eissn1528-9036
    keywordsElasticity
    keywordsFinite element methods
    keywordsBoundary-value problems
    keywordsVariational principles
    keywordsFunctions
    keywordsStress singularity
    keywordsFinite element analysis AND Stress
    treeJournal of Applied Mechanics:;1968:;volume( 035 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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