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    Relationships between Buckling Loads of Kirchhoff, Mindlin, and Reddy Polygonal Plates on Pasternak Foundation

    Source: Journal of Engineering Mechanics:;1997:;Volume ( 123 ):;issue: 011
    Author:
    C. M. Wang
    ,
    S. Kitipornchai
    ,
    Y. Xiang
    DOI: 10.1061/(ASCE)0733-9399(1997)123:11(1134)
    Publisher: American Society of Civil Engineers
    Abstract: This paper presents relationships between the buckling loads determined using classical Kirchhoff plate theory and shear deformable plate theories. The latter theories considered are the first-order shear deformation plate theory of Reissner-Mindlin and the third-order plate theory of Reddy. The relationships are exact for isotropic, simply supported polygonal plates under an isotropic inplane load and resting on a Pasternak foundation. Using the relationships, buckling solutions of the Reissner-Mindlin and Reddy plate theories can be readily obtained from known buckling solutions of the Kirchhoff plate theory without the Pasternak foundation.
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      Relationships between Buckling Loads of Kirchhoff, Mindlin, and Reddy Polygonal Plates on Pasternak Foundation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/84519
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    contributor authorC. M. Wang
    contributor authorS. Kitipornchai
    contributor authorY. Xiang
    date accessioned2017-05-08T22:38:10Z
    date available2017-05-08T22:38:10Z
    date copyrightNovember 1997
    date issued1997
    identifier other%28asce%290733-9399%281997%29123%3A11%281134%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/84519
    description abstractThis paper presents relationships between the buckling loads determined using classical Kirchhoff plate theory and shear deformable plate theories. The latter theories considered are the first-order shear deformation plate theory of Reissner-Mindlin and the third-order plate theory of Reddy. The relationships are exact for isotropic, simply supported polygonal plates under an isotropic inplane load and resting on a Pasternak foundation. Using the relationships, buckling solutions of the Reissner-Mindlin and Reddy plate theories can be readily obtained from known buckling solutions of the Kirchhoff plate theory without the Pasternak foundation.
    publisherAmerican Society of Civil Engineers
    titleRelationships between Buckling Loads of Kirchhoff, Mindlin, and Reddy Polygonal Plates on Pasternak Foundation
    typeJournal Paper
    journal volume123
    journal issue11
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(1997)123:11(1134)
    treeJournal of Engineering Mechanics:;1997:;Volume ( 123 ):;issue: 011
    contenttypeFulltext
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