Crack-opening-area analysis for circumferential through-wall cracks in pipes - Part I: analytical models

International Journal of Pressure Vessels and Piping

Volumn 75, Issue 5, 1998, Pages 357-373

  Rahman, S ^a   Brust, F W ^b   Ghadiali, N ^b   Wilkowski, G M ^b  

^a IA United States   (United States)

^b BATTELLE MEMORIAL INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); CRACKS; FAILURE ANALYSIS; MATHEMATICAL MODELS; TENSILE STRESS;

CIRCUMFERENTIALLY CRACKED PIPES; LEAK-BEFORE-BREAK (LBB) ANALYSIS; PIPE CRACK-OPENING-AREA ANALYSIS;

PIPE;

CRACK; FAILURE; LEAK DETECTION; MODEL; PIPE;

EID: 0032056202     PISSN: 03080161     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0308-0161(97)00081-1     Document Type: Article

References (47)

1. [1] Rahman S, Brust FW, Ghadiali N, Wilkowski G. Crack-opening-area analyses for circumferential through-wall cracks in pipes - Part II: model validations. International Journal of Pressure Vessels and Piping, 1998;75(5):375-396.
2. [2] Rahman S, Ghadiali N, Wilkowski G, Moberg F, Brickstad B. Crack-opening-area analyses for circumferential through-wall cracks in pipes - Part III: off-center cracks, restraint of bending, thickness transition, and weld residual stresses. International Journal of Pressure Vessels and Piping, 1998;75(5):397-415.
3. [3] Report to the US Nuclear Regulatory Commission Piping Review Committee, Prepared by the Pipe Break Task Group, NUREG/CR-1061, Vol. 3. Washington, DC: US Nuclear Regulatory Commission, November 1984.
4. [4] Published for public comment on Standard Review Plan, Section 3.6.3 Leak-Before-Break Evaluation Procedures, Federal Register, Vol. 52, No. 167, Notices, pp. 32626-32633, Friday, August 28, 1987.
5. [5] Rahman S, Brust F, Ghadiali N, Choi YH, Krishnaswamy P, Moberg F, Brickstad B, Wilkowski G. Refinement and evaluation of crack-opening-area analyses for circumferential through-wall cracks in pipes, NUREG/CR-6300. Washington, DC: US Nuclear Regulatory Commission, April 1995.
6. [6] Wilkowski GM, Ahmad J, Barnes CR, Brust F, Ghadiali N, Guerrieri D, Jones D, Kramer G, Landow M, Marschall CW, Olson, R, Papaspyropoulos V, Pasupathi V, Rosenfeld M, Scott P, Vieth P. Degraded piping program - Phase II: Summary of technical results and their significance to leak-before-break and in-service flaw acceptance criteria, March 1984-January 1989, NUREG/CR-4082, Vol. 8. Washington, DC: US Nuclear Regulatory Commission, 1989.
7. [7] Schmidt RA, Wilkowski GM, Mayfield ME. The international piping integrity research group (IPIRG) program: an overview. In: H. Shibata, editor, Transactions of the 11th International Conference on Structural Mechanics in Reactor Technology, Vol. G2: Fracture Mechanics and Non-Destructive Evaluation - 2. Tokyo, Japan, Paper No. G23/1. August 1991:177-188.
8. [8] Wilkowski GM and others. Short cracks in piping and piping program. Semiannual reports by Battelle, NUREG/CR-4599, Vols. 1 to 3, Nos. 1 and 2. Washington, DC: US Nuclear Regulatory Commission, 1991-1994.
9. [9] Erdogan F. Fracture analysis of pipelines containing circumferential flaws. Second annual report, US Department of Transportation, Contract No. DOT-RC-82007, June 1980.
10. [10] Erdogan F, Delale F. Ductile fracture of pipes and cylindrical containers with a circumferential flaw. Transactions ASME, Journal of Pressure Vessel Technology, 1981;103:160-168.
11. [11] Sanders JL Jr. Circumferential through-cracks in cylindrical shells under tension. Journal of Applied Mechanics, 1982;49:103-107.
12. [12] Sanders JL Jr. Circumferential through-crack in a cylindrical shell under combined bending and tension. Journal of Applied Mechanics, 1983;50:221.
13. [13] Yoo SH, Pan J. Closed form displacement solutions for circumferentially cracked pipes in bending and tension. Ann Arbor, MI: University of Michigan Report No. UM-MEAM-88-06, October 1988.
14. [14] Tada H, Paris PC, Irwin GR. The stress analysis of cracks handbook. Hellertown: Del Research Corp., 1973.
15. [15] Wuthrich C. Crack opening areas in pressure vessels and pipes. Engineering Fracture Mechanics, 1983;18:5.
16. [16] Kumar V, German M, Shih C. An engineering approach for elastic-plastic fracture analysis. EPRI Report NP-1931. Palo Alto, CA: Electric Power Research Institute, July 1981.
17. [17] Kumar V, German M, Wilkening W, Andrews W, deLorenzi H, Mowbray D. Advances in elastic-plastic fracture analysis. EPRI Final Report NP-3607. Palo Alto, CA: Electric Power Research Institute, August 1984.
18. [18] Kishida K, Zahoor A. Crack-opening area calculations for circumferential through-wall pipe cracks. EPRI Special Report NP-5959-SR. Palo Alto, CA: Electric Power Research Institute, August 1988.
19. [19] Paris PC, Tada H. The application of fracture proof design methods using tearing instability theory to nuclear piping postulating circumferential through-wall cracks. NUREG/CR-3464. Washington, DC: US Nuclear Regulatory Commission, September 1983.
20. [20] Klecker R, Brust F, Wilkowski G. NRC leak-before-break (LBB.NRC) analysis method for circumferentially through-wall-cracked pipes under axial plus bending loads. NUREG/CR-4572, Washington, DC: US Nuclear Regulatory Commission, May 1986.
21. [21] Brust FW. Approximate methods for fracture analyses of through-wall cracked pipes. NUREG/CR-4853. Washington, DC: US Nuclear Regulatory Commission, February 1987.
22. [22] Gilles P, Brust F Approximate fracture methods for pipes. Part I: theory. Nuclear Engineering and Design, 1991;127:1-27.
23. [23] Gilles P, Chao KS, Brust F. Approximate fracture methods for pipes. Part II: Applications. Nuclear Engineering and Design, 1991;127:13-31.
24. [24] Rahman S, Brust F, Nakagaki M, Gilles P. An approximate method for estimating energy release rates of through-wall cracked pipe weldments. Fatigue, Fracture, and Risk 1991:215, San Diego, CA.
25. [25] Rahman S, Brust F. An estimation method for evaluating energy release rates of circumferential through-wall cracked pipe welds. Engineering Fracture Mechanics, 1992;43(3):417-430.
26. [26] Rahman S, Brust F. Elastic-plastic fracture of circumferential through-wall cracked pipe welds subject to bending. Journal of Pressure Vessel Technology, 1992;114(4):410-416.
27. [27] Rice JR. A path-independent integral and the approximate analysis of strain concentration by notches and cracks. Transactions ASME Journal of Applied Mechanics, 1968;35:376-386.
28. [28] Rice JR, Rosengren GF. Plane strain deformation near a crack-tip in a power-law hardening material. Journal of the Mechanics and the Physics of Solids, 1968;16:1-12.
29. [29] Hutchinson JW. Singular behavior at the end of a tensile crack in a hardening material. Journal of the Mechanics and the Physics of the Solids, 1968;16:13-31.
30. [30] Hutchinson JW. Fundamentals of the phenomenological theory of nonlinear fracture mechanics. Journal of Applied Mechanics, 1982; 49:103-107.
31. [31] Paris PC, Tada H, Zahoor A, Ernst H. The theory of instability of the tearing mode of elastic-plastic crack growth. ASTM STP 668, Elastic-Plastic Fracture 1979:5-36.
32. [32] Shih CF. J-Dominance under plane strain fully plastic conditions: the edge crack panel subject to combined tension and bending. International Journal of Fracture, 1985;29:73-84.
33. [33] Shih CF, Hutchinson JW. Combined loading of a fully plastic ligament ahead of an edge crack. Journal of Applied Mechanics 1986; (53):271.
34. [34] Kaiser S. An extension of tearing instability theory to multiple loading parameters. International Journal of Fracture, 1985;29:85-99.
35. [35] Sonnerlind H, Kaiser S. The J-integral for a SEN specimen under nonproportionally applied bending and tension. Engineering Fracture Mechanics, 1986;24(5):637-646.
36. [36] Brust FW, Gilles P. Approximate methods for fracture analysis of tubular members sunjected to combined tensile and bending loads. ASME Journal of Offshore Mechanics and Arctic Engineering, 1994;116:221-227.
37. [37] Brust FW, Scott P, Rahman S, Ghadiali N, Kilinski T, Francini B, Marschall CW, Miura N, Krishnaswamy P, Wilkowski GM. Assessment of short through-wall circumferential cracks in pipes-experiments and analysis. NUREG/CR-6235. Washington, DC: US Nuclear Regulatory Commission, April 1995.
38. [38] Shih CF. J-Integral estimates for strain hardening materials in anti-plane shear using fully plastic solutions. ASTM STP., 1976;590:3-22.
39. [39] Bucci RJ, Paris PC, Landes JD, Rice JR. J-Integral estimation procedures. ASTM STP, 1972;514:40-69.
40. [40] Rice JR, Paris PC, Merkle JG. Some further results of J-integral analysis and estimates. ASTM STP, 1973;536:231-245.
41. [41] Irwin GR. Plastic zone near a crack and fracture toughness. In: Proceedings of Seventh Sagamore Ordnance Materials Conference, Syracuse, Syracuse University, 1960:IV-63-IV-78.
42. [42] Dugdale DS. Yielding of steel sheets containing slits. Journal of Mechanics and Physics of Solids, 1960;8:100-108.
43. [43] Paul D, Ahmad J, Scott P, Flanigan L, Wilkowski G. Evaluation and refinement of leak-rate estimation models. NUREG/CR-5128, Rev. 1. Washington, DC: US Nuclear Regulatory Commission, June 1994.
44. [44] Smith E. The opening of through-wall cracks in BWR coolant lines due to the application of severe overloads. NUREG/CP-0051. Washington, DC: US Nuclear Regulatory Commission, August 1984.
45. [45] Brust F, Rahman S, Ghadiali N. Elastic-plastic analysis of small cracks in tubes. Journal of Offshore Mechanics and Arctic Engineering, 1995;117(1):57-62. also published in the Proceedings of the 11th International Conference on Offshore Mechanics and Arctic Engineering, Calgary, Alberta, Canada, June 1992.
46. [45] Brust F, Rahman S, Ghadiali N. Elastic-plastic analysis of small cracks in tubes. Journal of Offshore Mechanics and Arctic Engineering, 1995;117(1):57-62. also published in the Proceedings of the 11th International Conference on Offshore Mechanics and Arctic Engineering, Calgary, Alberta, Canada, June 1992.
47. [46] ABAQUS, user's guide and theoretical manual. Version 5.3. Pawtucket, RI: Hibbitt, Karlsson, and Sorensen, 1993.