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The Stress Distribution Ahead of a Tapered Crack

[+] Author Affiliations
E. Smith

University of Manchester, Manchester, UK

Paper No. PVP2008-61055, pp. 3-7; 5 pages
  • ASME 2008 Pressure Vessels and Piping Conference
  • Volume 6: Materials and Fabrication, Parts A and B
  • Chicago, Illinois, USA, July 27–31, 2008
  • Conference Sponsors: Pressure Vessels and Piping
  • ISBN: 978-0-7918-4829-6
  • Copyright © 2008 by ASME


The paper is concerned with the stress distribution ahead of a tapered crack; this type of crack features in the fracture behaviour of some materials and structures. When the expression for the stress is described in terms of an expansion to the first two terms in increasing powers of the distance ahead of the crack, the first term has a power −1/2 for both Mode 1 and Mode 3 scenarios just as with a linear crack. However with regard to the second term, though the power is +1/2 for the Mode 1 tapered crack and linear crack scenarios, it is zero for the Mode 3 tapered crack scenario. Consequently, caution must be exercised in using results from Mode 3 analyses to quantify Mode 1 loading situations, where tapered cracks are concerned.

Copyright © 2008 by ASME



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