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    Random Bulk Properties of Heterogeneous Rectangular Blocks With Lognormal Young's Modulus: Effective Moduli

    Source: Journal of Applied Mechanics:;2015:;volume( 082 ):;issue: 001::page 11003
    Author:
    Dimas, Leon S.
    ,
    Veneziano, Daniele
    ,
    Giesa, Tristan
    ,
    Buehler, Markus J.
    DOI: 10.1115/1.4028783
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We investigate the effective elastic properties of disordered heterogeneous materials whose Young's modulus varies spatially as a lognormal random field. For one, two, and threedimensional (1D, 2D, and 3D) rectangular blocks, we decompose the spatial fluctuations of the Young's logmodulus F=lnE into firstand higherorder terms and find the joint distribution of the effective elastic tensor by multiplicatively combining the termspecific effects. The analytical results are in good agreement with Monte Carlo simulations. Through parametric analysis of the analytical solutions, we gain insight into the effective elastic properties of this class of heterogeneous materials. The results have applications to structural/mechanical reliability assessment and design.
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      Random Bulk Properties of Heterogeneous Rectangular Blocks With Lognormal Young's Modulus: Effective Moduli

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    http://yetl.yabesh.ir/yetl1/handle/yetl/156896
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    contributor authorDimas, Leon S.
    contributor authorVeneziano, Daniele
    contributor authorGiesa, Tristan
    contributor authorBuehler, Markus J.
    date accessioned2017-05-09T01:14:31Z
    date available2017-05-09T01:14:31Z
    date issued2015
    identifier issn0021-8936
    identifier otherjam_082_01_011003.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/156896
    description abstractWe investigate the effective elastic properties of disordered heterogeneous materials whose Young's modulus varies spatially as a lognormal random field. For one, two, and threedimensional (1D, 2D, and 3D) rectangular blocks, we decompose the spatial fluctuations of the Young's logmodulus F=lnE into firstand higherorder terms and find the joint distribution of the effective elastic tensor by multiplicatively combining the termspecific effects. The analytical results are in good agreement with Monte Carlo simulations. Through parametric analysis of the analytical solutions, we gain insight into the effective elastic properties of this class of heterogeneous materials. The results have applications to structural/mechanical reliability assessment and design.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleRandom Bulk Properties of Heterogeneous Rectangular Blocks With Lognormal Young's Modulus: Effective Moduli
    typeJournal Paper
    journal volume82
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4028783
    journal fristpage11003
    journal lastpage11003
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2015:;volume( 082 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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