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    A Comparison of Flow and Deformation Theories in a Radially Stressed Annular Plate

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001::page 283
    Author:
    P. C. T. Chen
    DOI: 10.1115/1.3422941
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Two mathematically consistent solutions to the strains and displacement in a partly plastic, annular plate stressed by internal pressure are obtained according to the deformation theory of Hencky and to the flow theory of Prandtl-Reuss. In both cases, the material is assumed to be elastic, perfectly plastic and obeying the Mises yield condition. It is shown that one solution is expressed in closed form and the other, in terms of simple integrals. A quantitative comparison of two theories is given and the effect of compressibility is discussed.
    keyword(s): Flow (Dynamics) , Deformation , Displacement , Pressure AND Compressibility ,
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      A Comparison of Flow and Deformation Theories in a Radially Stressed Annular Plate

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    contributor authorP. C. T. Chen
    date accessioned2017-05-09T01:36:04Z
    date available2017-05-09T01:36:04Z
    date copyrightMarch, 1973
    date issued1973
    identifier issn0021-8936
    identifier otherJAMCAV-25974#283_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163590
    description abstractTwo mathematically consistent solutions to the strains and displacement in a partly plastic, annular plate stressed by internal pressure are obtained according to the deformation theory of Hencky and to the flow theory of Prandtl-Reuss. In both cases, the material is assumed to be elastic, perfectly plastic and obeying the Mises yield condition. It is shown that one solution is expressed in closed form and the other, in terms of simple integrals. A quantitative comparison of two theories is given and the effect of compressibility is discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Comparison of Flow and Deformation Theories in a Radially Stressed Annular Plate
    typeJournal Paper
    journal volume40
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422941
    journal fristpage283
    journal lastpage287
    identifier eissn1528-9036
    keywordsFlow (Dynamics)
    keywordsDeformation
    keywordsDisplacement
    keywordsPressure AND Compressibility
    treeJournal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001
    contenttypeFulltext
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