Overload failure of structural components under random crack propagation and loading - A random process approach

Structural Safety

Volumn 26, Issue 4, 2004, Pages 471-488

  Beck, André T ^a   Melchers, Robert E ^b  

^a UNIVERSIDADE LUTERANA DO BRASIL   (Brazil)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Crack propagation; Crossing rates; Damage accumulation; Metal fatigue; Overload failure; Random processes; Reliability; Resistance degradation; Ultimate capacity

Indexed keywords

APPROXIMATION THEORY; CRACK PROPAGATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBLEM SOLVING; RANDOM PROCESSES;

OVERLOADS; RANDOM BARRIER LEVELS; STRUCTURAL COMPONENTS;

BUILDING MATERIALS;

STRUCTURAL ANALYSIS;

EID: 3142731432     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.strusafe.2004.02.001     Document Type: Article

References (34)

1. Lin Y.K. Yang J.N. A stochastic theory of fatigue crack propagation AIAA J. 23 1 1985 117-124
2. Tsurui A. Ishikawa H. Application of the Fokker-Planck equation to a stochastic fatigue crack growth model Struct. Saf. 4 1986 15-29
3. Provan J. Probabilistic fracture mechanics and reliability 1987 Martinus Nijhoff Dordrecht
4. Ortiz K. Kiremidjian A.S. Stochastic modelling of fatigue crack growth Eng. Fract. Mech. 29 3 1988 317-334
5. Tsurui A. Nienstedt J. Schueller G.I. Tanaka H. Time variant structural reliability analysis using diffusive crack growth models Eng. Fract. Mech. 34 1 1989 153-167
6. Zhu W.Q. Lin Y.K. Lei Y. On fatigue crack growth under random loading Eng. Fract. Mech. 43 1 1992 1-12
7. Sobczyk K. Spencer B.F. Random fatigue: From data to theory 1992 Academic Press London
8. Ishikawa H. Tsurui A. Tanaka H. Ishikawa H. Reliability assessment of structures based upon probabilistic fracture mechanics Probabilist. Eng. Mech. 8 1993 43-56
9. Yang J.N. Manning S.D. A simple second-order approximation for stochastic crack growth analysis Eng. Fract. Mech. 53 5 1996 677-686
10. Zheng R. Ellingwood B.R. Stochastic fatigue crack growth in steel structures subject to random loading Struct. Saf. 20 1998 303-323
11. Virkler D.A. Hillberry B.M. Goel P.K. The statistical nature of fatigue crack propagation J. Eng. Mater. Technol. ASME 101 1979 148-153
12. Ghonen H. Dore S. Experimental study of the constant probability crack growth curves under constant amplitude loading Eng. Fract. Mech. 27 1 1987 1-25
13. Wirsching P.H. Shehata A.M. Fatigue under wideband random stresses using the rainflow method J. Eng. Mater. Technol. ASME 99 1977 205-211
14. Nagode M. Fajdiga M. A general multi-modal probability distribution function suitable for the rainflow ranges of stationary random processes Int. J. Fatigue 20 3 1998 211-223
15. Bouyssy V. Naboishikov S.M. Rackwitz R. Comparison of analytical counting methods for Gaussian processes Struct. Saf. 123 1993 35-57
16. Madsen HO, Skjong, R, Tallin, AG, Kirkemo, F. Probabilistic fatigue crack growth analysis of offshore structures with reliability updating through inspections. In: Proceedings of Marine Structural Reliability Symposium, Arlington, VA; 1987
17. Moan T, Hovde G, Jiao G. Fatigue reliability analysis of offshore structures considering the effect of inspection and repair. In: Proceedings of Structural Safety and Reliability, Balkema, Rotterdam; 1994
18. Moan T, Vardal OT, Hellevig NC, Skjoldli K. In-service observations of cracks in north sea jackets. A study of initial crack depth and POD values. In: Proceedings of 16th OMAE conference, Yokohama, Japan; 1997
19. Engelund S, Sorensen J, Faber M, Bloch A. Approximations in inspection planning. In: Proceedings of 8th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability; 2002
20. Melchers R.E. Structural reliability analysis and prediction 2nd ed. 1999 Wiley New York
21. Marley MJ, Moan T. Approximate time variant analysis for fatigue, structural safety and reliability, Schueller, Shinozuka, Yao, editors; 1994
22. Kuo CJ. Reliability assessment of deteriorating component due to fatigue crack growth under random loading, PhD thesis, University of Arizona, Tucson, Arizona; 1997
23. Wirsching P.H. Fatigue reliability Prog. Struct. Eng. Mater. 1 2 1998 200-206
24. Kanninen M.F. Popelar C.H. Advanced fracture mechanics 1985 Oxford University Press New York
25. Wen Y.K. Chen H.C. On fast integration for time-variant structural reliability Probabilist. Eng. Mech. 2 3 1987 156-162
26. Madsen H.O. Krenk S. Lind N.C. Methods of structural safety 1986 Prentice Hall Englewood Cliffs, NJ
27. Melchers R.E. Ahammed M. Estimation of failure probabilities for intersections of non-linear limit states Struct. Saf. 23 2001 123-135
28. Sudret B. Kiureghian A.D. Comparison of finite element reliability methods Probabilist. Eng. Mech. 17 2002 337-348
29. Beck AT. Reliability analysis of degrading uncertain structures - with applications to fatigue and fracture under random loading, PhD thesis, Department of Civil and Environmental Engineering, University of Newcastle, Australia; June 2003
30. Beck A.T. Melchers R.E. On the ensemble up-crossing rate approach to time variant reliability analysis of uncertain structures Probabilist. Eng. Mech. 19 2003 9-19
31. Beck AT, Melchers RE. Barrier failure dominance in time variant reliability analysis, Probabilist Eng Mech (accepted)
32. Wen Y.K. Chen H.C. System reliability under time-varying loads: I J. Eng. Mech. 115 4 1989 808-823
33. Hagen O. Tvedt L. Vector process out-crossing as a parallel system sensitivity measure J. Eng. Mech. 117 10 1991 2201-2220
34. Nigam N.C. Narayanan S. Applications of random vibrations 1994 Springer New York