Vol. 3, No. 2, 2008

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ISSN: 1559-3959
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
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