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    Analysis of a Three-Dimensional Crack Terminating at an Interface Using a Hypersingular Integral Equation Method

    Source: Journal of Applied Mechanics:;2002:;volume( 069 ):;issue: 005::page 626
    Author:
    T. Y. Qin
    ,
    N. A. Noda
    DOI: 10.1115/1.1488938
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Using a body force method and the finite-part integral concepts, a set of hypersingular integral equations for a vertical crack terminating at an interface in a three-dimensional infinite bimaterial subjected to arbitrary loads are derived. The stress singularity orders and singular stress fields around the crack front terminating at the interface are obtained by the main-part analytical method of hypersingular integral equations. Then, a numerical method for the solution of the hypersingular integral equations in case of a rectangular crack is proposed, in which the crack displacement discontinuities are approximated by the product of basic density functions and polynomials. Numerical solutions for the stress intensity factors of some examples are given.
    keyword(s): Stress , Fracture (Materials) AND Integral equations ,
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      Analysis of a Three-Dimensional Crack Terminating at an Interface Using a Hypersingular Integral Equation Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/126240
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    contributor authorT. Y. Qin
    contributor authorN. A. Noda
    date accessioned2017-05-09T00:06:35Z
    date available2017-05-09T00:06:35Z
    date copyrightSeptember, 2002
    date issued2002
    identifier issn0021-8936
    identifier otherJAMCAV-26543#626_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/126240
    description abstractUsing a body force method and the finite-part integral concepts, a set of hypersingular integral equations for a vertical crack terminating at an interface in a three-dimensional infinite bimaterial subjected to arbitrary loads are derived. The stress singularity orders and singular stress fields around the crack front terminating at the interface are obtained by the main-part analytical method of hypersingular integral equations. Then, a numerical method for the solution of the hypersingular integral equations in case of a rectangular crack is proposed, in which the crack displacement discontinuities are approximated by the product of basic density functions and polynomials. Numerical solutions for the stress intensity factors of some examples are given.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalysis of a Three-Dimensional Crack Terminating at an Interface Using a Hypersingular Integral Equation Method
    typeJournal Paper
    journal volume69
    journal issue5
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1488938
    journal fristpage626
    journal lastpage631
    identifier eissn1528-9036
    keywordsStress
    keywordsFracture (Materials) AND Integral equations
    treeJournal of Applied Mechanics:;2002:;volume( 069 ):;issue: 005
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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