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    Numerical Solution of Non-Hertzian Elastic Contact Problems

    Source: Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 002::page 484
    Author:
    Krishna P. Singh
    ,
    Burton Paul
    DOI: 10.1115/1.3423314
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general method for the numerical analysis of frictionless nonconformable non-Hertzian contact of bodies of arbitrary shape is developed. Numerical difficulties arise because the solution is extremely sensitive to the manner in which one discretizes the governing integral equation. The difficulties were overcome by utilizing new techniques, referred to as the method of redundant field points (RFP) and the method of functional regularization (FR). The accuracy and efficiency of the methods developed were tested thoroughly against known solutions of Hertzian problems. To illustrate the power of the methods, a heretofore unsolved non-Hertzian problem (corresponding to the case of rounded indentors with local flat spots) has been solved.
    keyword(s): Numerical analysis , Integral equations AND Shapes ,
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      Numerical Solution of Non-Hertzian Elastic Contact Problems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/164476
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    contributor authorKrishna P. Singh
    contributor authorBurton Paul
    date accessioned2017-05-09T01:37:36Z
    date available2017-05-09T01:37:36Z
    date copyrightJune, 1974
    date issued1974
    identifier issn0021-8936
    identifier otherJAMCAV-26010#484_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164476
    description abstractA general method for the numerical analysis of frictionless nonconformable non-Hertzian contact of bodies of arbitrary shape is developed. Numerical difficulties arise because the solution is extremely sensitive to the manner in which one discretizes the governing integral equation. The difficulties were overcome by utilizing new techniques, referred to as the method of redundant field points (RFP) and the method of functional regularization (FR). The accuracy and efficiency of the methods developed were tested thoroughly against known solutions of Hertzian problems. To illustrate the power of the methods, a heretofore unsolved non-Hertzian problem (corresponding to the case of rounded indentors with local flat spots) has been solved.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNumerical Solution of Non-Hertzian Elastic Contact Problems
    typeJournal Paper
    journal volume41
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423314
    journal fristpage484
    journal lastpage490
    identifier eissn1528-9036
    keywordsNumerical analysis
    keywordsIntegral equations AND Shapes
    treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 002
    contenttypeFulltext
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