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Type: Journal article
Title: The distributed dislocation technique for calculating plasticity-induced crack closure in plates of finite thickness
Author: Codrington, J.
Kotooussov, A.
Citation: International Journal of Fracture, 2007; 144(4):285-295
Publisher: Kluwer Academic Publ
Issue Date: 2007
ISSN: 0376-9429
Statement of
John Codrington and Andrei Kotousov
Abstract: An analytical method for calculating plasticity-induced fatigue crack closure in plates of finite thickness is presented. The developed method utilizes the distributed dislocation technique (DDT) and Gauss-Chebyshev quadrature. Crack tip plasticity is incorporated by adopting a Dugdale type strip yield model. The finite plate thickness effects are taken into account by using a recently obtained three-dimensional solution for an edge dislocation in an infinite plate. Numerical results for the ratio of the size of the crack tip plasticity zones are presented for the cases of uniform thickness wake and linearly increasing wake for a range of plate thickness to crack length ratios and applied load ratios. The results show a very good agreement with previous analytical solutions in the limiting cases of very thick and very thin plates. Further results for the opening stress to maximum stress ratio are also provided and are compared with known three-dimensional finite element (FE) solutions. A good agreement is observed. The developed method is shown to be an effective and very powerful tool in modeling the crack closure phenomenon.
RMID: 0020070906
DOI: 10.1007/s10704-007-9100-7
Appears in Collections:Mathematical Sciences publications
Materials Research Group publications

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