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    Homogenization and Path Independence of the J-Integral in Heterogeneous Materials

    Source: Journal of Applied Mechanics:;2016:;volume( 083 ):;issue: 010::page 101012
    Author:
    Hsueh, Chun-Jen
    ,
    Bhattacharya, Kaushik
    DOI: 10.1115/1.4034294
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The J-integral that determines the driving force on a crack tip is a central concept of fracture mechanics. It is particularly useful since it is path independent in homogeneous materials. However, most materials are heterogeneous at a microscopic scale, and the J-integral is not necessarily path independent in heterogeneous media. In this paper, we prove the existence of an effective J-integral in heterogeneous media, show that it can be computed from the knowledge of the macroscopic or homogenized displacement fields and that it is path independent in macroscopically homogeneous media as long as the contours are large compared to the length scale of the heterogeneities. This result justifies the common engineering use of the J-integral.
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      Homogenization and Path Independence of the J-Integral in Heterogeneous Materials

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    contributor authorHsueh, Chun-Jen
    contributor authorBhattacharya, Kaushik
    date accessioned2017-11-25T07:20:48Z
    date available2017-11-25T07:20:48Z
    date copyright2016/08/22
    date issued2016
    identifier issn0021-8936
    identifier otherjam_083_10_101012.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4236673
    description abstractThe J-integral that determines the driving force on a crack tip is a central concept of fracture mechanics. It is particularly useful since it is path independent in homogeneous materials. However, most materials are heterogeneous at a microscopic scale, and the J-integral is not necessarily path independent in heterogeneous media. In this paper, we prove the existence of an effective J-integral in heterogeneous media, show that it can be computed from the knowledge of the macroscopic or homogenized displacement fields and that it is path independent in macroscopically homogeneous media as long as the contours are large compared to the length scale of the heterogeneities. This result justifies the common engineering use of the J-integral.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleHomogenization and Path Independence of the J-Integral in Heterogeneous Materials
    typeJournal Paper
    journal volume83
    journal issue10
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4034294
    journal fristpage101012
    journal lastpage101012-3
    treeJournal of Applied Mechanics:;2016:;volume( 083 ):;issue: 010
    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
    yabeshDSpacePersian