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    The Refined Theory of Plane Problems for One-Dimensional Quasicrystalline Bodies

    Source: Journal of Applied Mechanics:;2012:;volume( 079 ):;issue: 001::page 11004
    Author:
    Yang Gao
    ,
    Andreas Ricoeur
    DOI: 10.1115/1.4004593
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Without employing ad hoc assumptions, various equations and solutions for plane problems of one-dimensional quasicrystals are deduced systematically. A method for the exact solution of three-dimensional equations is presented under homogeneous and nonhomogeneous boundary conditions. The equations and solutions are used to construct the refined theory of thick plates for both an in-plane extensional deformation regime and a normal or shear surface loading. With this method, the refined theory can now be explicitly established from the general solution of quasicrystals and the Lur’e method. In two illustrative examples of infinite plates with a circular hole, it is shown that explicit expressions of analytical solutions can be obtained by using the refined theory.
    keyword(s): Stress , Shear (Mechanics) , Boundary-value problems , Equations AND Plates (structures) ,
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      The Refined Theory of Plane Problems for One-Dimensional Quasicrystalline Bodies

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    http://yetl.yabesh.ir/yetl1/handle/yetl/148144
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    contributor authorYang Gao
    contributor authorAndreas Ricoeur
    date accessioned2017-05-09T00:48:13Z
    date available2017-05-09T00:48:13Z
    date copyrightJanuary, 2012
    date issued2012
    identifier issn0021-8936
    identifier otherJAMCAV-26813#011004_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148144
    description abstractWithout employing ad hoc assumptions, various equations and solutions for plane problems of one-dimensional quasicrystals are deduced systematically. A method for the exact solution of three-dimensional equations is presented under homogeneous and nonhomogeneous boundary conditions. The equations and solutions are used to construct the refined theory of thick plates for both an in-plane extensional deformation regime and a normal or shear surface loading. With this method, the refined theory can now be explicitly established from the general solution of quasicrystals and the Lur’e method. In two illustrative examples of infinite plates with a circular hole, it is shown that explicit expressions of analytical solutions can be obtained by using the refined theory.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Refined Theory of Plane Problems for One-Dimensional Quasicrystalline Bodies
    typeJournal Paper
    journal volume79
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4004593
    journal fristpage11004
    identifier eissn1528-9036
    keywordsStress
    keywordsShear (Mechanics)
    keywordsBoundary-value problems
    keywordsEquations AND Plates (structures)
    treeJournal of Applied Mechanics:;2012:;volume( 079 ):;issue: 001
    contenttypeFulltext
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