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    The Elastostatic Axisymmetric Problem of a Cracked Sphere

    Source: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 003::page 538
    Author:
    R. Kant
    ,
    D. B. Bogy
    DOI: 10.1115/1.3153728
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem of a cracked sphere is solved with the use of Boussinesq stress functions. Two coordinate systems—oblate spheroidal for representing the crack surface and spherical polars for the spherical surface—are used to satisfy boundary conditions. Integral representations and transformations of harmonic functions are used to relate stress functions in the two coordinate systems. This procedure leads to a system of algebraic equations which is solved, for axisymmetric tractions on both the surfaces. Graphical results are presented for one specific loading case.
    keyword(s): Stress , Fracture (Materials) , Boundary-value problems , Equations AND Functions ,
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      The Elastostatic Axisymmetric Problem of a Cracked Sphere

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    http://yetl.yabesh.ir/yetl1/handle/yetl/92821
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    contributor authorR. Kant
    contributor authorD. B. Bogy
    date accessioned2017-05-08T23:07:54Z
    date available2017-05-08T23:07:54Z
    date copyrightSeptember, 1980
    date issued1980
    identifier issn0021-8936
    identifier otherJAMCAV-26152#538_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/92821
    description abstractThe problem of a cracked sphere is solved with the use of Boussinesq stress functions. Two coordinate systems—oblate spheroidal for representing the crack surface and spherical polars for the spherical surface—are used to satisfy boundary conditions. Integral representations and transformations of harmonic functions are used to relate stress functions in the two coordinate systems. This procedure leads to a system of algebraic equations which is solved, for axisymmetric tractions on both the surfaces. Graphical results are presented for one specific loading case.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Elastostatic Axisymmetric Problem of a Cracked Sphere
    typeJournal Paper
    journal volume47
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3153728
    journal fristpage538
    journal lastpage544
    identifier eissn1528-9036
    keywordsStress
    keywordsFracture (Materials)
    keywordsBoundary-value problems
    keywordsEquations AND Functions
    treeJournal of Applied Mechanics:;1980:;volume( 047 ):;issue: 003
    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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