Modeling of chloride-induced corrosion in concrete bridge using the simplified and full probabilistic methods


durability limit states
probabilistic analysis
reinforced concrete structures


Concrete and reinforced concrete structures are subjected to chloride corrosion, which can shorten their service life and safety of use.  Reliability and safety prediction of concrete structures is a crucial task for optimizing their life cycle design and maintenance and for minimizing their life cycle costs. In the paper a probabilistic analysis of concrete durability in structural members is presented. Two methods: simplified-probabilistic and full-probabilistic have been applied for modelling chloride-induced corrosion in concrete structures. The uncertainty of the key parameters including surface chloride concentration, chloride threshold, cover depth and diffusion coefficient, which govern the chloride ingress into concrete and corrosion of reinforcing steel have been analyzed. A case study of a reinforced concrete bridge has been used to illustrate the capability and efficiency of these probabilistic methods in modeling the uncertainty and predicting the time-dependent probability of corrosion. FREeT-D and ProCAAT software have been used for the analysis.


1. Alonso C. Andrade C. Castello M. Castro P.(2000). Chloride threshold values to depassivate reinforcing bars embedded in a standardized opc mortar. Cem Concr Res; 30. pp.1047–55.
2. Ann. K.Y.. Song. H.W. (2007) Chloride threshold level for corrosion of steel in concrete. Corrosion Science. 49. pp. 4113–4133.
3. Cady P. Weyers R. (1983). Chloride penetration and deterioration of concrete bridge decks. Cem Concr Aggreg. 5(2). pp. 81–97.
4. Cusson D. Lounis Z. Daigle L. (2010). Benefits of internal curing on service life and life cycle cost of high-performance concrete bridge decks – a case study. Cem Concr Compos;32(5). pp.339–500.
5. Duprat. F. (2007) Reliability of RC beams under chloride-ingress. Construction and Building Materials. 21. pp. 1605–1616.
6. fib TG 5.6 (2007) fib Model Code for Service Life Design. Proposal for future fib Model Code. 2007.
7. FIB. fib Final Model Code. fib Bulletins No. 65 and 66. Lausanne. Switzerland. 2012
8. FREeT-D:2017 (2017). FReET-D PROGRAM DOCUMENTATION Revision 01/2017. FReET Deterioration Module version 1.4
9. Frangopol. D.M.. Saydam. D.. Kim. S.. (2012). Maintenance. management. life-cycle design and performance of structures and infrastructure: a brief review. Structure and Infrastructure Engineering. 8. pp. 1– 25
10. fib Bulletin 34:2006 (2006). Model Code for Service Life Design. fib Bulletin 34. International Federation for Structural Concrete (fib). Lausanne. Switzerland.
11. Glass. G.K.. Buenfeld. N. R. (1995) Chloride threshold levels for corrosion induced deterioration of steel in concrete. In Proc. of the Proc. of the International Workshop Chloride penetration into concrete. Nilsson O. and Ollivier J.P. (eds.). RILEM Publications. Vol.1. St. Rmyles-Cheuvreuse. France. 429–439.
12. Glass. G.K.. Buenfeld. N. R. (1997) The presentation of the chloride threshold level for corrosion of steel in concrete. Corrosion Science. 39(5). pp. 1001–1013.
13. ISO 13823. General Principles in the Design of Structures for Durability. ISO. 2008
14. ISO 2394. General principles on reliability for structures. ISO. 1998
15. Kropp J.(1995) Chlorides in concrete. In: Performance criteria for concrete durability. RILEM Report 12 E& FN SPON; 1995 .pp. 138–64.)
16. Li. C.Q.. Melchers. R.E.. Zheng. J.J. (2006). An analytical model for corrosion induced crack width in reinforced concrete structures. ACI Structural Journal. 103. pp. 479– 482.
17. Lounis Z. Mirza M. (2001). Reliability-based service life prediction of deteriorating concrete structures. Concrete under severe conditions. pp. 965–72.
18. Lounis Z. (2004). Uncertainty modeling of chloride contamination and corrosion of concrete bridge. In: Ayyub B. Attoh-Okine NO. editors. Applied research in uncertainty modeling and analysis. Springer. pp. 491–511 (Chapter 22).
19. PN-EN 1990:2004 Eurokod 0 -Postawy Projektowania Konstrukcji
20. PN-EN 1992-1-1 Design of concrete structures. Part 1-1. Eurocode 2. 2003
21. ProCAAT (2017). Tutorial for probabilistic chloride attack analysis tool procaat full-probabilistic design tool. Developed by Amirali Shojaeian Paolo Bocchini. Ph.D.. Clay Naito. Ph.D.. P.E.. April 2017. ProCAATtutorial.pdf (
22. Rosenberg A. Hansson C. Andrade C. (1989). Mechanisms of corrosion of steel in concrete. In: Paskalny J. editor. Materials science of concrete I. Westerville. OH: The American Ceramic Society. Inc.; 1989. p. 285–313.
23. Saassouh. B.. Lounis. Z. (2012) Probabilistic modeling of chloride-induced corrosion in concrete structures using first- and second-order reliability methods. Cement & Concrete Composites 34. pp. 1082–1093.
24. Teplý. B.. Vořechovská D. (2012). Reinforcement corrosion: Limit states. reliability and modelling. Journal of Advanced Concrete Technology. 10. pp. 353– 362.
25. Thoft-Christensen. P. (2012). Infrastructure and life-cycle cost-benefit analysis. Structure and Infrastructure Engineering. 8. pp. 507– 516.
26. Tuutti K. (1982) Corrosion of steel in concrete. Cement and Concrete Research Institute. Stockholm. Swedish.
27. Vořechovská. D.. Chromá. M.. Podroužek. J.. Rovnaníková. P.. Teplý. B. (2009). Modelling of Chloride Concentration Effect on Reinforcement Corrosion. Computer-Aided Civil and Infrastructure Engineering. 24. pp. 446– 458.
28. Zhang J. Lounis Z. (2009). Nonlinear relationships between parameters of simplified diffusion-based model for service life design of concrete structures exposed to chlorides. Cem Concr Compos.. 31(8). pp. 591–600
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