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    Three-Dimensional Frictional Contact Analysis Using the Homotopy Method

    Source: Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 003::page 703
    Author:
    J. K. Park
    ,
    B. M. Kwak
    DOI: 10.1115/1.2901517
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A three-dimensional contact problem with the orthotropic Coulomb friction is formulated in the form of a system of nonlinear equations. The nonlinear complementarity formulation derived naturally from the three-dimensional frictional contact phenomenon is used in the numerical analysis without such linearization as previously introduced. The probability-one homotopy method known as a globally convergent zero-finding algorithm is implemented as an exact method and applied to each incremental step. The method is illustrated by two three-dimensional problems and the results are compared with those of commercial package and other approximations.
    keyword(s): Friction , Coulombs , Algorithms , Numerical analysis , Approximation , Nonlinear equations AND Probability ,
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      Three-Dimensional Frictional Contact Analysis Using the Homotopy Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/113082
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    contributor authorJ. K. Park
    contributor authorB. M. Kwak
    date accessioned2017-05-08T23:43:20Z
    date available2017-05-08T23:43:20Z
    date copyrightSeptember, 1994
    date issued1994
    identifier issn0021-8936
    identifier otherJAMCAV-26357#703_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/113082
    description abstractA three-dimensional contact problem with the orthotropic Coulomb friction is formulated in the form of a system of nonlinear equations. The nonlinear complementarity formulation derived naturally from the three-dimensional frictional contact phenomenon is used in the numerical analysis without such linearization as previously introduced. The probability-one homotopy method known as a globally convergent zero-finding algorithm is implemented as an exact method and applied to each incremental step. The method is illustrated by two three-dimensional problems and the results are compared with those of commercial package and other approximations.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThree-Dimensional Frictional Contact Analysis Using the Homotopy Method
    typeJournal Paper
    journal volume61
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2901517
    journal fristpage703
    journal lastpage709
    identifier eissn1528-9036
    keywordsFriction
    keywordsCoulombs
    keywordsAlgorithms
    keywordsNumerical analysis
    keywordsApproximation
    keywordsNonlinear equations AND Probability
    treeJournal of Applied Mechanics:;1994:;volume( 061 ):;issue: 003
    contenttypeFulltext
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