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    On the Verification of Finite Element Determinations of Stress Concentration Factors for Handbooks

    Source: Journal of Verification, Validation and Uncertainty Quantification:;2023:;volume( 008 ):;issue: 003::page 31003-1
    Author:
    Kardak, A. A.
    ,
    Sinclair, G. B.
    DOI: 10.1115/1.4063064
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Here we offer an approach for being reasonably sure that finite element determinations of stress concentration factors are accurate enough to be included in engineering handbooks. The approach has two contributors. The first consists of analyzing a stress concentration on a sequence of systematically refined meshes until the error estimates of ASME have that sufficient accuracy has been achieved. The second consists of constructing a test problem with an exact and somewhat higher value of its stress concentration factor, then analyzing this test problem with the same sequence of meshes and showing that, in fact, sufficient accuracy has been achieved. In combination, these two means of verification are applied to a series of U-notches in a plate under tension. Together they show that it is reasonable to regard finite element values of stress concentration factors on the finest meshes as being accurate to three significant figures. Given this level of accuracy, it is then also reasonable to use the approach to verify other existing stress concentration factors and resolve any discrepancies between them, as well as to verify new stress concentration factors.
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      On the Verification of Finite Element Determinations of Stress Concentration Factors for Handbooks

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    contributor authorKardak, A. A.
    contributor authorSinclair, G. B.
    date accessioned2023-11-29T19:50:03Z
    date available2023-11-29T19:50:03Z
    date copyright8/11/2023 12:00:00 AM
    date issued8/11/2023 12:00:00 AM
    date issued2023-08-11
    identifier issn2377-2158
    identifier othervvuq_008_03_031003.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4295058
    description abstractHere we offer an approach for being reasonably sure that finite element determinations of stress concentration factors are accurate enough to be included in engineering handbooks. The approach has two contributors. The first consists of analyzing a stress concentration on a sequence of systematically refined meshes until the error estimates of ASME have that sufficient accuracy has been achieved. The second consists of constructing a test problem with an exact and somewhat higher value of its stress concentration factor, then analyzing this test problem with the same sequence of meshes and showing that, in fact, sufficient accuracy has been achieved. In combination, these two means of verification are applied to a series of U-notches in a plate under tension. Together they show that it is reasonable to regard finite element values of stress concentration factors on the finest meshes as being accurate to three significant figures. Given this level of accuracy, it is then also reasonable to use the approach to verify other existing stress concentration factors and resolve any discrepancies between them, as well as to verify new stress concentration factors.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Verification of Finite Element Determinations of Stress Concentration Factors for Handbooks
    typeJournal Paper
    journal volume8
    journal issue3
    journal titleJournal of Verification, Validation and Uncertainty Quantification
    identifier doi10.1115/1.4063064
    journal fristpage31003-1
    journal lastpage31003-8
    page8
    treeJournal of Verification, Validation and Uncertainty Quantification:;2023:;volume( 008 ):;issue: 003
    contenttypeFulltext
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