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The Quarterly Journal of Mechanics and Applied Mathematics Advance Access originally published online on September 15, 2005
The Quarterly Journal of Mechanics and Applied Mathematics 2005 58(3):439-457; doi:10.1093/qjmam/hbi017
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Q. Jl Mech. Appl. Math, Vol. 58. No. 3 © The Author 2005. Published by Oxford University Press 2005; all rights reserved. For Permissions, please email: journals.permissions@oupjournals.org

Fracture mechanics of specially orthotropic shells containing a crack

Rong Liu1,**, Tie Zhang2, X. J. Wu3 and C. H. Wang4

( 1 Department of Mechanical and Aerospace Engineering, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, Canada K1S 5B6, 2 Department of Mathematics, Northeastern University, Shenyang, Liaoning, P.R. China, 3 Institute for Aerospace Research, National Research Council of Canada, Ottawa, Ontario, Canada, 4 Aeronautical and Maritime Research Laboratory, Defence Science and Technology Organization, Melbourne, Victoria, Australia )

** Corresponding author rLiu{at}mae.carleton.ca

This article presents a theoretical analysis of specially-orthotropic shells containing a crack in terms of a crack-closure theory. The formulation of Delale and Erdogan for crack problems in shells is extended to include the effect of crack-face closure. The influence of material orthotropy and shell curvatures on the closure behaviour and consequently on the stress intensity factor are studied. It is demonstrated that crack-face closure has a significant impact on the stress intensity factor and it tends to reduce the maximum stress intensity factor. The crack-face closure effect on the stress intensity factor increases with the shell radii. In flat plates, as a special case of shells when the shell radii become infinitely large, the difference of the closure stress intensity factor between the closure case and non-closure case has a maximum. The influence of material orthotropy on the closure behaviour varies with the ratio of the two shell curvatures.

Received 5 November 2004. Revises 10 March and 1 April 2005.


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