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Weight Functions for T-Stress for Edge Cracks in Thick-Walled Cylinders

[+] Author Affiliations
J. Li, C. L. Tan, X. Wang

Carleton University, Ottawa, Ontario, Canada

Paper No. PVP2004-2751, pp. 99-104; 6 pages
  • ASME/JSME 2004 Pressure Vessels and Piping Conference
  • Computer Technology and Applications
  • San Diego, California, USA, July 25–29, 2004
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 0-7918-4677-6
  • Copyright © 2004 by ASME


This paper presents T-stress solutions for an internal edge crack in thick-walled cylinders under complex stress distributions. First, the background of the weight function method for the calculation of T-stress is discussed. Then the T-stress results for edge-cracked cylinders obtained from extensive boundary element analyses are summarized. The crack geometries analyzed cover a wide range of radius ratios and relative crack lengths. The loading cases considered in the BEM analysis for the cracked cylinder are: i) crack face pressures with polynomial stress distributions acting on the crack face and ii) internal pressure or steady state thermal loading in the cylinder. Then, the T-stress results for uniform and linearly varying crack face pressure cases are used as the reference solutions to derive weight functions for T-stress. Boundary element results of T-stress for other nonlinear stress distributions are used to validate the derived T-stress weight functions. Excellent accuracy has been achieved. The weight functions derived are suitable for obtaining T-stress solutions for thick-walled cylinders with an internal edge crack under any complex stress fields.

Copyright © 2004 by ASME



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