Estimation of Energy Release Rates and Instability Analysis for a Pipe With a Circumferential Surface Crack Subjected to Bending

[+] Author and Article Information
J. Pan

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Mich. 48109

J. Pressure Vessel Technol 108(1), 33-40 (Feb 01, 1986) (8 pages) doi:10.1115/1.3264749 History: Received January 19, 1985; Revised April 17, 1985; Online November 05, 2009


An estimation of the energy release rate J for a three-dimensional nonlinear elastic solid containing a two-dimensional plane crack is presented. Special attention is focused on a pipe with a circumferential surface crack subjected to bending. The present analysis gives an estimation of the distribution of J along the crack front of a circumferential surface crack. Fracture instability of the cracked solid is also discussed. Based on the deformation theory of plasticity and a postulated criterion for crack growth, wall-breakthrough instability of the circumferential surface crack is examined. The predictions of the present analysis are in agreement with experimental observations, and indicate that a longer circumferential surface flaw is more susceptible to radial instability. Implications of this study on “leak before break” conditions are also discussed.

Copyright © 1986 by ASME
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