YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASME
    • Journal of Applied Mechanics
    • View Item
    •   YE&T Library
    • ASME
    • Journal of Applied Mechanics
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    The Eshelby Tensors in a Finite Spherical Domain—Part I: Theoretical Formulations

    Source: Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 004::page 770
    Author:
    Shaofan Li
    ,
    Roger A. Sauer
    ,
    Gang Wang
    DOI: 10.1115/1.2711227
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This work is concerned with the precise characterization of the elastic fields due to a spherical inclusion embedded within a spherical representative volume element (RVE). The RVE is considered having finite size, with either a prescribed uniform displacement or a prescribed uniform traction boundary condition. Based on symmetry and group theoretic arguments, we identify that the Eshelby tensor for a spherical inclusion admits a unique decomposition, which we coin the “radial transversely isotropic tensor.” Based on this notion, a novel solution procedure is presented to solve the resulting Fredholm type integral equations. By using this technique, exact and closed form solutions have been obtained for the elastic disturbance fields. In the solution two new tensors appear, which are termed the Dirichlet–Eshelby tensor and the Neumann–Eshelby tensor. In contrast to the classical Eshelby tensor they both are position dependent and contain information about the boundary condition of the RVE as well as the volume fraction of the inclusion. The new finite Eshelby tensors have far-reaching consequences in applications such as nanotechnology, homogenization theory of composite materials, and defects mechanics.
    keyword(s): Tensors ,
    • Download: (413.9Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      The Eshelby Tensors in a Finite Spherical Domain—Part I: Theoretical Formulations

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/135099
    Collections
    • Journal of Applied Mechanics

    Show full item record

    contributor authorShaofan Li
    contributor authorRoger A. Sauer
    contributor authorGang Wang
    date accessioned2017-05-09T00:22:28Z
    date available2017-05-09T00:22:28Z
    date copyrightJuly, 2007
    date issued2007
    identifier issn0021-8936
    identifier otherJAMCAV-26645#770_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/135099
    description abstractThis work is concerned with the precise characterization of the elastic fields due to a spherical inclusion embedded within a spherical representative volume element (RVE). The RVE is considered having finite size, with either a prescribed uniform displacement or a prescribed uniform traction boundary condition. Based on symmetry and group theoretic arguments, we identify that the Eshelby tensor for a spherical inclusion admits a unique decomposition, which we coin the “radial transversely isotropic tensor.” Based on this notion, a novel solution procedure is presented to solve the resulting Fredholm type integral equations. By using this technique, exact and closed form solutions have been obtained for the elastic disturbance fields. In the solution two new tensors appear, which are termed the Dirichlet–Eshelby tensor and the Neumann–Eshelby tensor. In contrast to the classical Eshelby tensor they both are position dependent and contain information about the boundary condition of the RVE as well as the volume fraction of the inclusion. The new finite Eshelby tensors have far-reaching consequences in applications such as nanotechnology, homogenization theory of composite materials, and defects mechanics.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Eshelby Tensors in a Finite Spherical Domain—Part I: Theoretical Formulations
    typeJournal Paper
    journal volume74
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2711227
    journal fristpage770
    journal lastpage783
    identifier eissn1528-9036
    keywordsTensors
    treeJournal of Applied Mechanics:;2007:;volume( 074 ):;issue: 004
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian