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    Stress Distribution in and Around Spheroidal Inclusions and Voids at Finite Concentration

    Source: Journal of Applied Mechanics:;1986:;volume( 053 ):;issue: 003::page 511
    Author:
    G. P. Tandon
    ,
    G. J. Weng
    DOI: 10.1115/1.3171804
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A simple, albeit approximate, close-form solution is developed to study the elastic stress and energy distribution in and around spheroidal inclusions and voids at finite concentration. This theory combines Eshelby’s solution of an ellipsoidal inclusion and Mori- Tanaka’s concept of average stress in the matrix. The inclusions are taken to be homogeneously dispersed and undirectionally aligned. The analytical results are obtained for the general three-dimensional loading, and further simplified for uniaxial tension applied parallel to the axis of inclusions. The ensuing stress and energy fields under tensile loading are illustrated for both hard inclusions and voids, ranging from prolate to oblate shapes, at several concentrations.
    keyword(s): Stress concentration , Stress , Shapes AND Tension ,
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      Stress Distribution in and Around Spheroidal Inclusions and Voids at Finite Concentration

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    http://yetl.yabesh.ir/yetl1/handle/yetl/100717
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    contributor authorG. P. Tandon
    contributor authorG. J. Weng
    date accessioned2017-05-08T23:21:45Z
    date available2017-05-08T23:21:45Z
    date copyrightSeptember, 1986
    date issued1986
    identifier issn0021-8936
    identifier otherJAMCAV-26271#511_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/100717
    description abstractA simple, albeit approximate, close-form solution is developed to study the elastic stress and energy distribution in and around spheroidal inclusions and voids at finite concentration. This theory combines Eshelby’s solution of an ellipsoidal inclusion and Mori- Tanaka’s concept of average stress in the matrix. The inclusions are taken to be homogeneously dispersed and undirectionally aligned. The analytical results are obtained for the general three-dimensional loading, and further simplified for uniaxial tension applied parallel to the axis of inclusions. The ensuing stress and energy fields under tensile loading are illustrated for both hard inclusions and voids, ranging from prolate to oblate shapes, at several concentrations.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStress Distribution in and Around Spheroidal Inclusions and Voids at Finite Concentration
    typeJournal Paper
    journal volume53
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3171804
    journal fristpage511
    journal lastpage518
    identifier eissn1528-9036
    keywordsStress concentration
    keywordsStress
    keywordsShapes AND Tension
    treeJournal of Applied Mechanics:;1986:;volume( 053 ):;issue: 003
    contenttypeFulltext
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