Out-of-plane stress and displacement for through-the-thickness cracks in plates of finite thickness

Codrington, John; Kotousov, Andrei; Ho, Sook Ying

doi:10.2140/jomms.2008.3.261

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Out-of-plane stress and displacement for through-the-thickness cracks in plates of finite thickness

John Codrington, Andrei Kotousov and Sook Ying Ho

Vol. 3 (2008), No. 2, 261–270

DOI: 10.2140/jomms.2008.3.261

Abstract

The out-of-plane stress and displacement fields are investigated analytically for mode I through-the-thickness cracks in an infinite plate of finite thickness within the first-order plate theory. The developed method is based on the distributed dislocation approach and an earlier derived three-dimensional solution for an edge dislocation. Numerical results are obtained through application of Gauss–Chebyshev quadrature for both finite length and semiinfinite crack cases. The calculated stress and displacement fields are found to be in good agreement with already published experimental and finite element studies. Further results for the averaged through-the-thickness stress intensity factor are given and again found to be in good agreement with previous finite element values. The developed solutions can therefore be used in experimental techniques for the assessment of the stress intensity factor using the out-of-plane displacement measurements, for example by the interferometry method.

Keywords

distributed dislocation technique, edge dislocation, out-of-plane constraint factor, out-of-plane displacement, plate thickness effect, through-the-thickness crack

Milestones

Received: 2 April 2007

Revised: 23 September 2007

Accepted: 1 October 2007

Published: 1 February 2008

Authors

John Codrington
School of Mechanical Engineering The University of Adelaide SA 5005, Australia

Andrei Kotousov
School of Mechanical Engineering The University of Adelaide SA 5005, Australia

Sook Ying Ho
School of Mechanical Engineering The University of Adelaide SA 5005, Australia

Vol. 3, No. 2, 2008

John Codrington, Andrei Kotousov and Sook Ying Ho

Abstract

Keywords

Milestones

Authors