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    On the Importance of Work Conjugacy and Objective Stress Rates in Finite Deformation Incremental Finite Element Analysis

    Source: Journal of Applied Mechanics:;2013:;volume( 080 ):;issue: 004::page 41024
    Author:
    Ji, Wooseok
    ,
    Waas, Anthony M.
    ,
    Bazant, Zdenek P.
    DOI: 10.1115/1.4007828
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper is concerned with two issues that arise in the finite element analysis of 3D solids. The first issue examines the objectivity of various stress rates that are adopted in incremental analysis of solids. In doing so, it is revealed that large errors are incurred by an improper choice of stress rate. An example problem is presented to show the implications of the choice of stress rate. The second issue addresses the need to maintain workconjugacy in formulating and solving bifurcation buckling problems of 3D elastic solids. Four popular commercial codes are used to obtain buckling loads of an axially compressed thick sandwich panel, and it is shown that large errors in buckling load predictions are incurred as a result of violating the requirement of workconjugacy. Remedies to fix the errors in the numerical solution strategy are given.
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      On the Importance of Work Conjugacy and Objective Stress Rates in Finite Deformation Incremental Finite Element Analysis

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    http://yetl.yabesh.ir/yetl1/handle/yetl/150879
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    contributor authorJi, Wooseok
    contributor authorWaas, Anthony M.
    contributor authorBazant, Zdenek P.
    date accessioned2017-05-09T00:56:15Z
    date available2017-05-09T00:56:15Z
    date issued2013
    identifier issn0021-8936
    identifier otherjam_80_4_041024.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/150879
    description abstractThis paper is concerned with two issues that arise in the finite element analysis of 3D solids. The first issue examines the objectivity of various stress rates that are adopted in incremental analysis of solids. In doing so, it is revealed that large errors are incurred by an improper choice of stress rate. An example problem is presented to show the implications of the choice of stress rate. The second issue addresses the need to maintain workconjugacy in formulating and solving bifurcation buckling problems of 3D elastic solids. Four popular commercial codes are used to obtain buckling loads of an axially compressed thick sandwich panel, and it is shown that large errors in buckling load predictions are incurred as a result of violating the requirement of workconjugacy. Remedies to fix the errors in the numerical solution strategy are given.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Importance of Work Conjugacy and Objective Stress Rates in Finite Deformation Incremental Finite Element Analysis
    typeJournal Paper
    journal volume80
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4007828
    journal fristpage41024
    journal lastpage41024
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2013:;volume( 080 ):;issue: 004
    contenttypeFulltext
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