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    A Parallel Domain Decomposition BEM Algorithm for Three-Dimensional Exponentially Graded Elasticity

    Source: Journal of Applied Mechanics:;2008:;volume( 075 ):;issue: 005::page 51108
    Author:
    J. E. Ortiz
    ,
    W. A. Shelton
    ,
    V. Mantič
    ,
    L. J. Gray
    ,
    F. París
    ,
    R. Criado
    DOI: 10.1115/1.2936232
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A parallel domain decomposition boundary integral algorithm for three-dimensional exponentially graded elasticity has been developed. As this subdomain algorithm allows the grading direction to vary in the structure, geometries arising from practical functionally graded material applications can be handled. Moreover, the boundary integral algorithm scales well with the number of processors, also helping to alleviate the high computational cost of evaluating the Green’s functions. For axisymmetric plane strain states in a radially graded material, the numerical results for cylindrical geometries are in excellent agreement with the analytical solution deduced herein.
    keyword(s): Elasticity , Algorithms , Boundary element methods , Cylinders AND Equations ,
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      A Parallel Domain Decomposition BEM Algorithm for Three-Dimensional Exponentially Graded Elasticity

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/137243
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    • Journal of Applied Mechanics

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    contributor authorJ. E. Ortiz
    contributor authorW. A. Shelton
    contributor authorV. Mantič
    contributor authorL. J. Gray
    contributor authorF. París
    contributor authorR. Criado
    date accessioned2017-05-09T00:26:36Z
    date available2017-05-09T00:26:36Z
    date copyrightSeptember, 2008
    date issued2008
    identifier issn0021-8936
    identifier otherJAMCAV-26718#051108_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137243
    description abstractA parallel domain decomposition boundary integral algorithm for three-dimensional exponentially graded elasticity has been developed. As this subdomain algorithm allows the grading direction to vary in the structure, geometries arising from practical functionally graded material applications can be handled. Moreover, the boundary integral algorithm scales well with the number of processors, also helping to alleviate the high computational cost of evaluating the Green’s functions. For axisymmetric plane strain states in a radially graded material, the numerical results for cylindrical geometries are in excellent agreement with the analytical solution deduced herein.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Parallel Domain Decomposition BEM Algorithm for Three-Dimensional Exponentially Graded Elasticity
    typeJournal Paper
    journal volume75
    journal issue5
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2936232
    journal fristpage51108
    identifier eissn1528-9036
    keywordsElasticity
    keywordsAlgorithms
    keywordsBoundary element methods
    keywordsCylinders AND Equations
    treeJournal of Applied Mechanics:;2008:;volume( 075 ):;issue: 005
    contenttypeFulltext
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