Probabilistic Chloride Penetration Models and Corrosion Initiation Probability of RC Bridge Based on Long-Term Test Data
Publication: Journal of Bridge Engineering
Volume 24, Issue 4
Abstract
Chloride penetration initiates the corrosion of the steel reinforcement and causes the deterioration of an RC bridge in a marine area. This study focuses on the probabilistic models in the chloride penetration process for the probabilistic corrosion initiation analysis of the steel reinforcement. The probabilistic model for the chloride diffusion coefficient is developed by adding correction terms to correct the potential bias in the existing deterministic model. The model parameters are calibrated and selected with the Bayesian approach based on long-term test data. The probabilistic models for the surface chloride concentration and chloride threshold are selected from reviews and discussions on the existing models. The probabilistic models developed or selected contain sufficient information on concrete quality and environmental condition influencing the anticorrosion performance of the RC structure. The corresponding probabilistic analysis approach is proposed with emphasis on the quantification for the influence of uncertainties presented in the model parameters. The time-variant probability curves of corrosion initiation for an example RC bridge are obtained using the proposed probabilistic models and analysis approach. The results show that the environmental condition has a great influence on the corrosion initiation reliability for steel reinforcement.
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Acknowledgments
The authors wish to thank all the members of the Long-Span Bridge Center at the Tongji University and the MAE Center at the University of Illinois at Urbana-Champaign for helpful discussions and suggestions. The research work was supported in part by the National Natural Science Foundation of China (Grant 51578506), State Key Development Program for Basic Research of China (Grant 2013CB036300), and the National Key R&D Plan of China (Grant 2016YFC0802201). Opinions and findings presented are those of the authors and do not necessarily reflect the views of the sponsors.
References
Bamforth, P. B. 1999. “The derivation of input data for modelling chloride ingress from eight-year UK coastal exposure trials.” Mag. Concr. Res. 51 (2): 87–96. https://doi.org/10.1680/macr.1999.51.2.87.
Boddy, A., R. D. Hooton, and K. A. Gruber. 2001. “Long-term testing of the chloride-penetration resistance of concrete containing high-reactivity metakaolin.” Cem. Concr. Res. 31 (5): 759–765. https://doi.org/10.1016/S0008-8846(01)00492-6.
Box, G. E. P., and G. C. Tiao. 1992. Bayesian inference in statistical analysis. New York: Wiley.
CECS (China Engineering Construction Standardization). 2007. Standard for durability assessment of concrete structures. [In Chinese.] CECS 220-2007. Beijing: China Architecture & Building Press.
Chalee, W., C. Jaturapitakkul, and P. Chindaprasirt. 2009. “Predicting the chloride penetration of fly ash concrete in seawater.” Mar. Struct. 22 (3): 341–353. https://doi.org/10.1016/j.marstruc.2008.12.001.
Choe, D., P. Gardoni, D. Rosowsky, and T. Haukaas. 2008. “Probabilistic capacity models and seismic fragility estimates for RC columns subject to corrosion.” Reliab. Eng. Syst. Saf. 93 (3): 383–393. https://doi.org/10.1016/j.ress.2006.12.015.
Costa, A., and J. Appleton. 1999. “Chloride penetration into concrete in marine environment—Part I: Main parameters affecting chloride penetration.” Mater. Struct. 32 (4): 252–259. https://doi.org/10.1007/BF02479594.
Ditlevsen, O., and H. O. Madsen. 1996. Structural reliability methods. Chichester, UK: John Wiley & Sons.
Duprat, F. 2007. “Reliability of RC beams under chloride-ingress.” Constr. Build. Mater. 21 (8): 1605–1616. https://doi.org/10.1016/j.conbuildmat.2006.08.002.
Ehlen, M. 2012. Life-365 service life prediction model and computer program for predicting the service life and life-cycle costs of reinforced concrete exposed to chlorides. Manual of Life-365™ Version 2.1.Farmington Hills, MI: American Concrete Institute.
Engelund, S., J. D. Sørensen, and S. Krenk. 1995. “Estimation of the time to initiation of corrosion in existing uncracked concrete structures.” In Proc., ICASP 7 Conf. Rotterdam, Netherlands: CRC/Balkema.
Enright, M. P., and D. M. Frangopol. 1998. “Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion.” Eng. Struct. 20 (11): 960–971. https://doi.org/10.1016/S0141-0296(97)00190-9.
Fluge, F. 2001. “ Marine chlorides—A probabilistic approach to derive provisions for EN 206-1.” In Proc., Third DuraNet Workshop on Service life design of concrete structures, from theory to standardisation. Tromsø, Norway: DuraNet.
Gardoni, P., A. Der Kiureghian, and K. Mosalam. 2002. “Probabilistic capacity models and fragility estimates for reinforced concrete columns based on experimental observations.” J. Eng. Mech. 128 (10): 1024–1038. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1024).
Gardoni, P., K. M. Mosalam, and A. Der Kiureghian. 2003. “Probabilistic seismic demand models and fragility estimates for RC bridges.” J. Earthquake Eng. 7 (sup001): 79–106. https://doi.org/10.1080/13632460309350474.
Gjorv, O. E., K. Tan, and M. Zhang. 1994. “Diffusivity of chlorides from seawater into high-strength lightweight concrete.” Mater. J. 91 (5): 447–452.
Guo, Y., D. Trejo, and S. Yim. 2015. “New model for estimating the time-variant seismic performance of corroding RC bridge columns.” J. Struct. Eng. 141 (6): 04014158. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001145.
Haukaas, T., A. Hahnel, B. Sudret, J. Song, and P. Franchin. 1999. “Finite element reliability using MATLAB.” Accessed September 10, 2017. http://projects.ce.berkeley.edu/ferum/Download/download.html.
JSCE (Japan Society of Civil Engineers). 2007. Standard specification for concrete structures. JSCE Guidelines for Concrete No. 15. Tokyo: JSCE.
Laine, M. 2008. Adaptive MCMC methods with applications in environmental and geophysical models. Helsinki, Finland: Finnish Meteorological Institute.
Leira, J. B., and J. Lindgård. 2000. “Statistical analysis of laboratory test data for service life prediction of concrete subjected to chloride ingress.” In Proc., Application of Statistics and Probability, ICASP8, edited by R. E. Melchers, 291–296. Rotterdam, Netherlands: Balkema.
Mangat, P. S., and B. T. Molloy. 1994. “Prediction of long term chloride concentration in concrete.” Mater. Struct. 27 (6): 338–346. https://doi.org/10.1007/BF02473426.
Marsh, P. S., and D. M. Frangopol. 2008. “Reinforced concrete bridge deck reliability model incorporating temporal and spatial variations of probabilistic corrosion rate sensor data.” Reliab. Eng. Syst. Saf. 93 (3): 394–409. https://doi.org/10.1016/j.ress.2006.12.011.
Meng, W., M. Valipour, and K. H. Khayat. 2017. “Optimization and performance of cost-effective ultra-high performance concrete.” Mater. Struct. 50 (1): 29. https://doi.org/10.1617/s11527-016-0896-3.
Ministry of Transport of China. 1999. Unified standard for reliability design of highway engineering structures. [In Chinese.] GB/T 50283-1999. Beijing: China Planning Press.
Mustafa, M. A., and K. M. Yusof. 1994. “Atmospheric chloride penetration into concrete in semitropical marine environment.” Cem. Concr. Res. 24 (4): 661–670. https://doi.org/10.1016/0008-8846(94)90190-2.
Nokken, M., A. Boddy, R. D. Hooton, and M. Thomas. 2006. “Time dependent diffusion in concrete—Three laboratory studies.” Cem. Concr. Res. 36 (1): 200–207. https://doi.org/10.1016/j.cemconres.2004.03.030.
Pack, S., M. Jung, H. Song, S. Kim, and K. Y. Ann. 2010. “Prediction of time dependent chloride transport in concrete structures exposed to a marine environment.” Cem. Concr. Res. 40 (2): 302–312. https://doi.org/10.1016/j.cemconres.2009.09.023.
Stewart, M. G. 2009. “Mechanical behaviour of pitting corrosion of flexural and shear reinforcement and its effect on structural reliability of corroding RC beams.” Struct. Saf. 31 (1): 19–30. https://doi.org/10.1016/j.strusafe.2007.12.001.
Stewart, M. G., and A. Al-Harthy. 2008. “Pitting corrosion and structural reliability of corroding RC structures: Experimental data and probabilistic analysis.” Reliab. Eng. Syst. Saf. 93 (3): 373–382. https://doi.org/10.1016/j.ress.2006.12.013.
Sun, B., P. Gardoni, and R. C. Xiao. 2016. “Probabilistic aerostability capacity models and fragility estimates for cable-stayed bridge decks based on wind tunnel test data.” Eng. Struct. 126 (Nov): 106–120. https://doi.org/10.1016/j.engstruct.2016.07.022.
Tarighat, A., and F. Jalalifar. 2014. “Assessing the performance of corroding RC bridge decks: A critical review of corrosion propagation models.” Civ. Eng. Infrastruct. J. 47 (2): 173–186.
Thomas, M. D. A., and P. B. Bamforth. 1999. “Modelling chloride diffusion in concrete: Effect of fly ash and slag.” Cem. Concr. Res. 29 (4): 487–495. https://doi.org/10.1016/S0008-8846(98)00192-6.
Thomas, M. D. A., and J. D. Matthews. 2004. “Performance of PFA concrete in a marine environment—10-year results.” Cem. Concr. Compos. 26 (1): 5–20. https://doi.org/10.1016/S0958-9465(02)00117-8.
Titherington, M. P. 1998. “The influence of steam curing on the chloride resistance of high performance concrete.” M.Sc. thesis. Dept. of Civil Engineering, Univ. of Toronto.
Tutti, K. 1982. Corrosion of steel in concrete. CBI Research Rep. 4. Stockholm, Sweden: Cement and Concrete Research Institute.
Val, D. 2007. “Deterioration of strength of RC beams due to corrosion and its influence on beam reliability.” J. Struct. Eng. 133 (9): 1297–1306. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:9(1297).
Visser, J. 2000. Statistical quantification of the variables in the limit state functions: DuraCrete, probabilistic performance based durability design of concrete structures. Washington, DC: CUR.
Vu, K., and M. Stewart. 2005. “Predicting the likelihood and extent of reinforced concrete corrosion-induced cracking.” J. Struct. Eng. 131 (11): 1681–1689. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:11(1681).
Vu, K. A. T., and M. G. Stewart. 2000. “Structural reliability of concrete bridges including improved chloride-induced corrosion models.” Struct. Saf. 22 (4): 313–333. https://doi.org/10.1016/S0167-4730(00)00018-7.
Zhong, J., P. Gardoni, and D. Rosowsky. 2010. “Stiffness degradation and time to cracking of cover concrete in reinforced concrete structures subject to corrosion.” J. Eng. Mech. 136 (2): 209–219. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000074.
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Published In
Journal of Bridge Engineering
Volume 24 • Issue 4 • April 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Jan 19, 2018
Accepted: Sep 27, 2018
Published online: Jan 30, 2019
Published in print: Apr 1, 2019
Discussion open until: Jun 30, 2019
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