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    An Analytical Study on the Post-Peak Structural Response

    Source: Journal of Applied Mechanics:;2011:;volume( 078 ):;issue: 004::page 44501
    Author:
    Hui-Hui Dai
    ,
    Xiaowu Zhu
    ,
    Zhen Chen
    DOI: 10.1115/1.4003740
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An analytical study is taken to investigate the relationship between material softening and structural softening through the use of a model problem in one dimension. General nonlinear constitutive relations are used. Compared with the bilinear assumptions in previous literature, we find that the nonlinear assumptions herein capture more details in the post-peak structural response. We manage to derive necessary and sufficient conditions for the occurrence of four important post-peak cases, which are often observed in experiments. In particular, our analysis reveals that the mechanism of the snap-through phenomenon is due to the convexity change in the constitutive curve of the softening part.
    keyword(s): Stress , Constitutive equations , Functions , Mechanisms , Stress-strain curves , Theorems (Mathematics) , Displacement , Size effect , Equations AND Dimensions ,
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      An Analytical Study on the Post-Peak Structural Response

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/145250
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    contributor authorHui-Hui Dai
    contributor authorXiaowu Zhu
    contributor authorZhen Chen
    date accessioned2017-05-09T00:42:07Z
    date available2017-05-09T00:42:07Z
    date copyrightJuly, 2011
    date issued2011
    identifier issn0021-8936
    identifier otherJAMCAV-26806#044501_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/145250
    description abstractAn analytical study is taken to investigate the relationship between material softening and structural softening through the use of a model problem in one dimension. General nonlinear constitutive relations are used. Compared with the bilinear assumptions in previous literature, we find that the nonlinear assumptions herein capture more details in the post-peak structural response. We manage to derive necessary and sufficient conditions for the occurrence of four important post-peak cases, which are often observed in experiments. In particular, our analysis reveals that the mechanism of the snap-through phenomenon is due to the convexity change in the constitutive curve of the softening part.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Analytical Study on the Post-Peak Structural Response
    typeJournal Paper
    journal volume78
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4003740
    journal fristpage44501
    identifier eissn1528-9036
    keywordsStress
    keywordsConstitutive equations
    keywordsFunctions
    keywordsMechanisms
    keywordsStress-strain curves
    keywordsTheorems (Mathematics)
    keywordsDisplacement
    keywordsSize effect
    keywordsEquations AND Dimensions
    treeJournal of Applied Mechanics:;2011:;volume( 078 ):;issue: 004
    contenttypeFulltext
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