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    On Stress-Strain Relations and Strain-Energy Expressions in the Theory of Thin Elastic Shells

    Source: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 001::page 104
    Author:
    J. K. Knowles
    ,
    Eric Reissner
    DOI: 10.1115/1.3643882
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The stress-strain relations of Flügge and Byrne for thin elastic shells are inverted to express strain quantities, and therewith the strain energy, in terms of stress resultants and couples. In this form, and upon omission of terms which are small of order h2 /R2 , the stress-strain relations and the strain-energy expression are shown to be simply related to corresponding results of Trefftz. The strain-energy formula of Trefftz is generalized to arbitrary orthogonal middle surface co-ordinates.
    keyword(s): Stress-strain relations , Shells , Stress AND Formulas ,
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      On Stress-Strain Relations and Strain-Energy Expressions in the Theory of Thin Elastic Shells

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    http://yetl.yabesh.ir/yetl1/handle/yetl/94834
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    contributor authorJ. K. Knowles
    contributor authorEric Reissner
    date accessioned2017-05-08T23:11:37Z
    date available2017-05-08T23:11:37Z
    date copyrightMarch, 1960
    date issued1960
    identifier issn0021-8936
    identifier otherJAMCAV-926086#104_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/94834
    description abstractThe stress-strain relations of Flügge and Byrne for thin elastic shells are inverted to express strain quantities, and therewith the strain energy, in terms of stress resultants and couples. In this form, and upon omission of terms which are small of order h2 /R2 , the stress-strain relations and the strain-energy expression are shown to be simply related to corresponding results of Trefftz. The strain-energy formula of Trefftz is generalized to arbitrary orthogonal middle surface co-ordinates.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn Stress-Strain Relations and Strain-Energy Expressions in the Theory of Thin Elastic Shells
    typeJournal Paper
    journal volume27
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3643882
    journal fristpage104
    journal lastpage106
    identifier eissn1528-9036
    keywordsStress-strain relations
    keywordsShells
    keywordsStress AND Formulas
    treeJournal of Applied Mechanics:;1960:;volume( 027 ):;issue: 001
    contenttypeFulltext
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