Determination of Conditional Probability of Dynamic Ductile Axial Crack Arrest for Conventionally-Rolled, Lower-Toughness Linepipe Materials

[+] Author and Article Information
David L. Rudland

Gery M. Wilkowski

Engineering Mechanics Corporation of Columbus 3518 Riverside Dr, Suite 202 Columbus, OH 43221

Shinobu Kawaguchi, Naoto Hagiwara

Tokyo Gas Co., Ltd., Pipeline Technology Center 1-7-7, Suehiro-cho, Tsurumi-ku, Yokohama, Japan, 230-0045

J. Pressure Vessel Technol 127(2), 143-150 (May 27, 2005) (8 pages) doi:10.1115/1.1858924 History: Received March 16, 2004; Revised November 22, 2004; Online May 27, 2005
Copyright © 2005 by ASME
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Eiber, R. J., Bubenik, T. A., and Maxey, W. A., 1993, “Fracture Control Technology for Natural Gas Pipelines,” NG-18 Report No. 208 to Line Pipe Research Supervisory Committee of the Pipeline Research Committee of the American Gas Association, Project PR-3-9113.
Dawson, S. J., 1997, “Probabilistic Evaluation of the Safety Embodied in the EPRG Recommendations for Shear Fracture Arrest Toughness,” 11th Biennial PRCI-EPRG Joint Technical Meeting on Pipeline Research, Paper 27, Arlington Virginia, April 7–11, 1997.
Maxey, W. A., Keifier, J. F., and Eiber, R. J., 1976, “Ductile Fracture Arrest in Gas Pipelines,” A.G.A. Catalogue Number L32176.
Dugdale,  D. B., 1960, “Yielding of Steel Sheets Containing Slits,” J. Mech. Phys. Solids, 18, p. 100.
Leis, B. N., 2000, “Predicting Fracture Arrest Based on a Relationship Between Charpy Vee-Notch Toughness and Dynamic Crack-Propagation Resistance,” Proceedings of 3rd International Pipeline Technology Conference, Pipeline Technology, Volume I, R. Denys (editor), Brugge, Belgium, May 21–24, 2000, Vol. 1, pp. 407–420.
Wilkowski, G. M., Maxey, W. A., and Eiber, R. J., 1997, “Use of a Brittle Notch DWTT Specimen to Predict Fracture Characteristics of Line Pipe Steels,” ASME 1977 Energy Technology Conference, Houston, Texas, Paper 77-Pet-21.
Maxey, W. A., 1974, “Fracture Propagation” Paper J, 5th Symposium on Line Pipe Research, American Gas Association Catalogue Number L30174.
Rothwell, A. B., 2000, “The Application of the Battelle Short Formula for the Determination of Ductile Fracture Arrest Toughness in Gas Pipelines,” Volume 1, Proceedings of the Third International Pipeline Conference (IPC 2000), ASME IPC 2000, Alberta, Canada, pp. 233–238.
ASME B31.8, 2003, “Gas Transmission and Distribution Piping Systems,” ASME Code for Pressure Piping, B31, An American National Standard.
49 CFR Part 192, 2003, “Pipeline Safety: Pipeline Integrity Management in High Consequence Areas (Gas Transmission Pipelines); Proposed Rule,” Department of Transportation, Federal Register, Part II.


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Interaction between decompression and fracture velocity curves shown schematically
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Increase in required Charpy energy as a function of crack propagation length, data from Ref. 7 (for 762 mm {30 in} diameter, backfilled pipe)
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Predicted versus actual Charpy from full-scale experiments
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Uncertainty in the predicted arrest toughness using the simplified Battelle equations
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Actual versus predicted CVNmax/CVNreq illustrating uncertainty
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Crack length at arrest versus Charpy toughness for non-steady-state fracture
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PDF for CVNmax/CVNreq for crack propagation length at arrest equal to 12 m for a 762 mm (30 in.) diameter pipe
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Flowchart illustrating steps in probabilistic model
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CVN distribution examples
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Conditional probability of crack arrest with a crack length greater than one pipe joint
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Conditional probability of arrest illustrating the difference between a crack initiating at the center and end of a joint



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