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    Analytical Solution for Size-Dependent Elastic Field of a Nanoscale Circular Inhomogeneity

    Source: Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 003::page 568
    Author:
    L. Tian
    ,
    R. K. N. D. Rajapakse
    DOI: 10.1115/1.2424242
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Two-dimensional elastic field of a nanoscale circular hole/inhomogeneity in an infinite matrix under arbitrary remote loading and a uniform eigenstrain in the inhomogeneity is investigated. The Gurtin–Murdoch surface/interface elasticity model is applied to take into account the surface/interface stress effects. A closed-form analytical solution is obtained by using the complex potential function method of Muskhelishvili. Selected numerical results are presented to investigate the size dependency of the elastic field and the effects of surface elastic moduli and residual surface stress. Stress state is found to depend on the radius of the inhomogeneity/hole, surface elastic constants, surface residual stress, and magnitude of far-field loading.
    keyword(s): Stress , Nanoscale phenomena AND Elasticity ,
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      Analytical Solution for Size-Dependent Elastic Field of a Nanoscale Circular Inhomogeneity

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/135129
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    contributor authorL. Tian
    contributor authorR. K. N. D. Rajapakse
    date accessioned2017-05-09T00:22:32Z
    date available2017-05-09T00:22:32Z
    date copyrightMay, 2007
    date issued2007
    identifier issn0021-8936
    identifier otherJAMCAV-26636#568_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/135129
    description abstractTwo-dimensional elastic field of a nanoscale circular hole/inhomogeneity in an infinite matrix under arbitrary remote loading and a uniform eigenstrain in the inhomogeneity is investigated. The Gurtin–Murdoch surface/interface elasticity model is applied to take into account the surface/interface stress effects. A closed-form analytical solution is obtained by using the complex potential function method of Muskhelishvili. Selected numerical results are presented to investigate the size dependency of the elastic field and the effects of surface elastic moduli and residual surface stress. Stress state is found to depend on the radius of the inhomogeneity/hole, surface elastic constants, surface residual stress, and magnitude of far-field loading.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalytical Solution for Size-Dependent Elastic Field of a Nanoscale Circular Inhomogeneity
    typeJournal Paper
    journal volume74
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2424242
    journal fristpage568
    journal lastpage574
    identifier eissn1528-9036
    keywordsStress
    keywordsNanoscale phenomena AND Elasticity
    treeJournal of Applied Mechanics:;2007:;volume( 074 ):;issue: 003
    contenttypeFulltext
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