Closure at the root of a sharp notch

Sharp notches subject to remote axial compression suffer closure of the root. In this paper we address this, and determine a first-order approximation to the extent of closure based on the asymptotic solution for a semi-infinite notch. This is then applied to an edge notch, and it is shown that the...

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Bibliographic Details
Published inInternational journal of mechanical sciences Vol. 48; no. 10; pp. 1063 - 1071
Main Authors Churchman, C.M., Dini, D., Hills, D.A.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2006
Subjects
Asymptotics
Closure
Logarithmic singularity
Notch
Wedge
Closure
Asymptotics
Logarithmic singularity
Wedge
Notch
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ISSN0020-7403
1879-2162
DOI10.1016/j.ijmecsci.2006.05.014

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Summary:Sharp notches subject to remote axial compression suffer closure of the root. In this paper we address this, and determine a first-order approximation to the extent of closure based on the asymptotic solution for a semi-infinite notch. This is then applied to an edge notch, and it is shown that the extent of closure is very small indeed, and likely to be smaller by several orders of magnitude than the notch root radius in any practically realisable case. It also follows that the notch root plasticity present for real materials is likely to encompass this region, and that the ‘open’ notch solution may be used without loss of accuracy.
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ISSN:0020-7403
1879-2162
DOI:10.1016/j.ijmecsci.2006.05.014