Probabilistic fracture mechanics: J-estimation and finite element methods

Engineering Fracture Mechanics

Volumn 68, Issue 1, 2001, Pages 107-125

  Rahman, Sharif ^a  

^a IA United States   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CRACK PROPAGATION; ELASTOPLASTICITY; FAILURE ANALYSIS; FINITE ELEMENT METHOD; FRACTURE MECHANICS; FRACTURE TOUGHNESS; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS;

J-ESTIMATION MODELS; PROBABILISTIC ELASTIC-PLASTIC ANALYSIS;

STRUCTURAL ANALYSIS;

EID: 0035202932     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(00)00092-8     Document Type: Article

References (33)

1. Provan JW. Probabilistic fracture mechanics and reliability. Dordrecht, The Netherlands: Martinus Nijhoff Publishers; 1987.
2. Rahman S. A stochastic model for elastic-plastic fracture analysis of circumferential through-wall-cracked pipes subject to bending. Engng Fract Mech 1995;52:2.
3. Warke RW, Wang YY, Ferregut CF, Carrasco CJ, Horsley DJ. A FAD-based method for probabilistic flaw assessment of strength-mismatched girth welds. Proceedings of the 1999 ASME Pressure Vessel and Piping Conference, Boston, MA, 1999.
4. Wilson R, Bernard JM, Ainsworth RA. Relationship between conditional failure probabilities and corresponding reserve factors derived from the R6 failure assessment diagram. Proceedings of the 1996 ASME Pressure Vessel and Piping Conference, Montreal, Canada, 1996.
5. Heinfling G, Pendola M, Hornet P. Reliability level provided by safety factors in defect assessment procedures. Proceedings of the 1999 ASME Pressure Vessel and Piping Conference, Boston, MA, 1999.
6. Rahman S, Ghadiali N, Paul D, Wilkowski G. Probabilistic pipe fracture evaluations for leak-rate-detection applications. NUREG/CR-6004, US Nuclear Regulatory Commission, Washington, DC, 1995.
7. Hornet P, Pendola M, Lemaire M. Failure probability calculation of an axisymmetrically cracked pipe under pressure and tension using a finite element code. Proceedings of the 1998 ASME Pressure Vessel and Piping Conference, San Diego, CA, 1998.
8. Rahman S, Kim JS. Probabilistic fracture mechanics for nonlinear structures. Proceedings of seventh International Conference on Structural Safety and Reliability, Kyoto, Japan, November 1997; Also, submitted to International Journal of Pressure Vessels and Piping, 2000.
9. Rahman S, Kim JS. Probabilistic fracture mechanics for nonlinear structures. Proceedings of seventh International Conference on Structural Safety and Reliability, Kyoto, Japan, November 1997; Also, submitted to International Journal of Pressure Vessels and Piping, 2000.
10. Wilkowski GM, et al. Short cracks in piping and piping welds program. NUREG/CR-4599, US Nuclear Regulatory Commission, vol. 1-3, nos. 1-2, Washington, DC, 1991-1994.
11. Rice JR. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 1968;35:379-86.
12. Hutchinson JW. Fundamentals of the phenomenological theory of nonlinear fracture mechanics. J Appl Mech 1983;50:1042-51.
13. Rice JR, Rosengren GF. Plane strain deformations near a crack tip in a power-law hardening material. J Mech Phys Solids 1968;16:1-12.
14. Wilkowski GM. Degraded piping program - phase II. Final and Semiannual Reports, NUREG/CR-4082, vols. 1-8, US Nuclear Regulatory Commission, Washington, DC, 1985-1989.
15. Schmidt RA, Wilkowski GW, Mayfield M. The international piping integrity research group (IPIRG) program - an overview. Proceedings of 11th International Conference on Structural Mechanics in Reactor Technology, Paper G23/1, Tokyo, Japan, 1991.
16. Hopper A, Mayfield M, Olson R, Scott P, Wilkowski G. Overview of the IPIRG-2 program - seismic loaded cracked pipe system experiments. Proceedings of 13th International Conference on Structural Mechanics in Reactor Technology, Division F, paper F12-1, 1995.
17. Rahman S, Wilkowski G, Brust F. Fracture analysis of full-scale pipe experiments on stainless steel flux welds. Nucl Engng Des 1996; 160:77-96.
18. Shih CF, Moran B, Nakamura T. Energy release rate along a three-dimensional crack front in a thermally stressed body. Inter J Frac 1968;30:79-102.
19. Moran B, Shih CF. A general treatment of crack tip contour integrals. Inter J Fract 1987;35:295-310.
20. Anderson TL. Fracture mechanics: fundamentals and applications. 2nd ed. Boca Raton, FL: CRC Press; 1995.
21. Hasofer AM, Lind NC. An exact and invariant first-order reliability format. J Engng Mech 1974;100:111-21.
22. Madsen HO, Krenk S, Lind NC. Methods of structural safety. Englewood Cliffs, NJ: Prentice-Hall; 1986.
23. Rackwitz R, Fiessler B. Structural reliability under combined random load sequence. Comput Struct 1978;9:489-94.
24. Fiessler B, Nuemann HJ, Rackwitz R. Quadratic limit states in structural reliability. J Engng Mech 1979;105(4):661-76.
25. Breitung K. Asymptotic approximations for multinormal integrals. J Engng Mech 1984;110(3):357-66.
26. Hohenbichler M, Gollwitzer S, Kruse W, Rackwitz R. New light on first- and second-order reliability methods. Struct Safety 1987;4:267-84.
27. Tvedt L. Distribution of quadratic forms in normal space - application to structural reliability. J Engng Mech 1990;116(6): 1183-97.
28. Der Kiureghian A, Lin HZ, Hwang SF. Second-order reliability approximations. J Engng Mech 1987; 113(8): 1208-25.
29. Der Kiureghian A, Liu P-L. Structural reliability under incomplete probability information. J Engng Mech 1986;112(1):85-104.
30. ABAQUS. User's guide and theoretical manual. Version 5.6, Hibbitt, Pawtucket, RI: Karlsson and Sorenson; 1997.
31. Kumar V, German MD, Shih CF. An engineering approach for elastic-plastic fracture analysis. EPRI NP-1931, Electric Power Research Institute, Palo Alto, CA, 1981.
32. Kumar V, German MD, Wilkening WW, Andrews WR, deLorenzi HG, Mowbray DF. Advances in elastic-plastic fracture analysis. EPRI NP-3607, Electric Power Research Institute, Palo Alto, CA, 1984.
33. Liu PL, Kiureghian AD. Optimization algorithms for structural reliability. Struct Safety 1991;9:161-77.