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    Application of J-Integral to a Random Elastic Medium

    Source: Journal of Applied Mechanics:;2025:;volume( 092 ):;issue: 003::page 31006-1
    Author:
    Eliáš, Jan
    ,
    Martinásek, Josef
    ,
    Le, Jia-Liang
    DOI: 10.1115/1.4067597
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This study investigates the use of the J-integral to compute the statistics of the energy release rate of a random elastic medium. The spatial variability of the elastic modulus is modeled as a homogeneous lognormal random field. Within the framework of Monte Carlo simulation, a modified contour integral is applied to evaluate the first and second statistical moments of the energy release rate. These results are compared with the energy release rate calculated from the potential energy function. The comparison shows that, if the random field of elastic modulus is homogenous in space, the path independence of the classical J-integral remains valid for calculating the mean energy release rate. However, this path independence does not extend to the higher order statistical moments. The simulation further reveals the effect of the correlation length of the spatially varying elastic modulus on the energy release rate of the specimen.
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      Application of J-Integral to a Random Elastic Medium

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    contributor authorEliáš, Jan
    contributor authorMartinásek, Josef
    contributor authorLe, Jia-Liang
    date accessioned2025-04-21T10:22:35Z
    date available2025-04-21T10:22:35Z
    date copyright1/24/2025 12:00:00 AM
    date issued2025
    identifier issn0021-8936
    identifier otherjam_92_3_031006.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4306056
    description abstractThis study investigates the use of the J-integral to compute the statistics of the energy release rate of a random elastic medium. The spatial variability of the elastic modulus is modeled as a homogeneous lognormal random field. Within the framework of Monte Carlo simulation, a modified contour integral is applied to evaluate the first and second statistical moments of the energy release rate. These results are compared with the energy release rate calculated from the potential energy function. The comparison shows that, if the random field of elastic modulus is homogenous in space, the path independence of the classical J-integral remains valid for calculating the mean energy release rate. However, this path independence does not extend to the higher order statistical moments. The simulation further reveals the effect of the correlation length of the spatially varying elastic modulus on the energy release rate of the specimen.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApplication of J-Integral to a Random Elastic Medium
    typeJournal Paper
    journal volume92
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4067597
    journal fristpage31006-1
    journal lastpage31006-6
    page6
    treeJournal of Applied Mechanics:;2025:;volume( 092 ):;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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