Weight Functions and Stress Intensity Factors for Longitudinal Semi-Elliptical Cracks in Thick-Wall Cylinders

[+] Author and Article Information
X. J. Zheng, G. Glinka

Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

J. Pressure Vessel Technol 117(4), 383-389 (Nov 01, 1995) (7 pages) doi:10.1115/1.2842140 History: Received October 27, 1993; Revised February 23, 1995; Online February 11, 2008


Weight functions for the surface and the deepest point of an internal longitudinal semi-elliptical crack in a thick-wall cylinder (Ri /t = 1) were derived from a general weight function and two reference stress intensity factors. For several linear and nonlinear crack face stress, fields, the weight functions were validated against finite element data. Stress intensity factors were also calculated for the Lamé through the thickness stress distribution induced by internal pressure. The weight functions appear to be particularly suitable for fatigue and fracture analysis of surface semi-elliptical cracks in complex stress fields. All stress intensity factor expressions given in the paper are valid for cylinders with the inner-radius-to-wall-thickness ratio, Ri /t = 1.

Copyright © 1995 by The American Society of Mechanical Engineers
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