Model uncertainty and Bayesian updating in reliability-based inspection

Structural Safety

Volumn 22, Issue 2, 2000, Pages 145-160

  Zhang, Ruoxue ^a   Mahadevan, Sankaran ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

Bayesian method; Fatigue; Fracture; Non destructive inspection; Reliability; Uncertainty

Indexed keywords

CRACK PROPAGATION; FATIGUE TESTING; INSPECTION; MATHEMATICAL MODELS; NONDESTRUCTIVE EXAMINATION; RELIABILITY; STATISTICAL METHODS;

BAYESIAN METHOD; FATIGUE RELIABILITY PROBLEM; MODEL UNCERTAINTY;

STRUCTURAL ANALYSIS;

CRACK PROPAGATION; FATIGUE CRACK; NON-DESTRUCTIVE TESTING; STATISTICAL ANALYSIS;

EID: 0034049797     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-4730(00)00005-9     Document Type: Article

References (23)

1. Madsen HO. Model updating in reliability theory. Proceeding of ICASP-5, Vancouver, 1987. p. 564-77.
2. Madsen H.O. Stochastic modeling of fatigue crack growth and inspection. Guedes Soares C. Probabilistic methods for structural design. 1997;59-84 Kluwer Academic Publishers, Netherlands.
3. Zhao Z., Haldar A., Breen F.L. Jr. Fatigue-reliability updating through inspection of steel bridges. Journal of Structural Engineering. ASCE. 120(5):1994;1624-1641.
4. Zhao Z., Haldar A. Reliability-based structural fatigue damage evaluation and maintenance using non-destructive inspections. Haldar A., Guran A., Ayyub B.M. Uncertainty modeling in fatigue element, fatigue and stability of systems. 1997;159-214 World Scientific, New York.
5. Byers W.G., Marley M.J., Mohammadi J., Nielsen R.J., Sarkani S. Fatigue reliability reassessment procedures: state-of-the art paper. Journal of Structural Engineering. ASCE. 123(3):1997;271-276.
6. Zheng R., Ellingwood B. Role of non-destructive evaluation in time-dependent reliability analysis. Structural Safety. 20(4):1998;325-339.
7. Zheng R., Ellingwood B. Role of non-destructive evaluation in time-dependent reliability anaysis. Structural Safety. 20(4):1998;303-323.
8. Paris PC. The fracture mechanics approach to fatigue In: Fatigue - an interdisciplinary approach. New York: Syracuse University Press, 1964. p. 107-32.
9. Foreman R.G., Keart V.E., Engle R.M. Numerical analysis of crack propagation in cycle-loaded structures. Journal of Basic Engineering, ASME. 89:1967;459-464.
10. Weertman J. Rate of growth of fatigue cracks calculated from the theory of infinitesimal dislocations distributed on a plane. International Journal of Fracture Mechanics. 2:1966;460-467.
11. Donahue R.J.et al. Crack opening displacement and the rate of fatigue crack growth. International Journal of Fracture Mechanics. 8:1972;209-219.
12. Klesnil M., Lukas P. Influence of strength and stress history on growth and stabilisation of fatigue cracks. Engineering Fracture Mechanics. 4:1972;77-92.
13. Edwards G. A bayesian procedure for drawing inference from random data. Reliability Engineering. 9:1984;1-17.
14. Guedes Soares, C. Bayesian prediction of design wave height. In: Thoft-Christensen P, editor. Reliability and optimization of structural systems '88. Berlin: Springer-Verlag, 1988. p. 311-23.
15. Guedes Soares C. Quantification of model uncertainty in structural reliability. Guedes Soares C. Probabilistic methods for structural design. 1997;17-38 Kluwer Academic Publishers, Netherlands.
16. Paris P.C., Erdogan F. A critical analysis of crack propagation laws. Journal of Basic Engineering. ASME. 85:1960;528-534.
17. Anderson T.L. Fracture Mechanics. 1991;CRC Press, Boca Raton, FL.
18. Simonen F.A. Nondestructive examination reliability. Sundararajan C. Probabilistic structural mechanics handbook. 1995;238-260 ITP company, New York.
19. Guedes Soares C., Garbatov Y. Reliability of maintained ship hull girders subjected to corrosion and fatigue. Structural Safety. 20(3):1998;201-219.
20. Zhao Z., Haldar A., Breen F.L. Jr. Fatigue-reliability evaluation of steel bridges. Journal of Structural Engineering. ASCE. 120(5):1994;1608-1623.
21. Agerskov H., Nielsen J.A. Fatigue in steel highway bridges under random loading. Journal of Structural Engineering. ASCE. 125(2):1999;152-162.
22. Mohaupt U.H.,et al. Steel in marine structures. 1987;Elsevier, London.
23. Albrecht P, Yazdani N. Risk analysis of extending the service life of steel bridges. In: FHWA/MD, no. 84/01. College Park (MD): University of Maryland, 1986.