Experimental Evaluation of the Scale of Fluctuation for Spatial Variability Modeling of Chloride-Induced Reinforced Concrete Corrosion
Publication: Journal of Bridge Engineering
Volume 18, Issue 1
Abstract
This paper provides experimentally determined estimates of the scale of fluctuation of the principal variables employed in modeling chloride-induced corrosion for reinforced concrete; i.e., the surface chloride content () and apparent diffusion coefficient (). The estimation of the scale of fluctuation, , is based on the analysis of experimental data recorded on a bridge in South East Ireland prior to its extensive rehabilitation in 2007. In determining the scale of fluctuation the paper considers two commonly used methods; i.e., the maximum likelihood method and the autocorrelation curve-fitting method. The reliability of both methods is discussed. Introduction of the kriging statistical interpolation method is demonstrated to improve the reliability of the estimates of the scale of fluctuation. The results obtained from the analysis are compared with values in the literature proffered by other researchers.
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Acknowledgments
The Irish National Roads Authority is gratefully acknowledged for facilitating this project.
References
AASHTO. (1997). “Standard method of test for sampling and testing for chloride ion in concrete and concrete raw materials.” AASHTO T-260, AASHTO, Washington, DC.
Akgul, F., and Frangopol, D. M. (2005a). “Lifetime performance analysis of existing reinforced concrete bridges. I: Theory.” J. Infrastruct. Syst., 11(2), 122–128.
Akgul, F., and Frangopol, D. M. (2005b). “Lifetime performance analysis of existing reinforced concrete bridges. II: Application.” J. Infrastruct. Syst., 11(2), 129–141.
Bertolini, L. (2004). Corrosion of steel in concrete: Prevention, diagnosis, repair, Wiley, Cambridge, U.K.
Bohling, G. (2005). Data analysis in engineering and natural science: Kriging. Kansas Geological Survey, 〈www.people.ku.edu/~gbohling/cpe940/Kriging.pdf〉, (May 2008).
Cressie, N. A. C. (1993). Statistics for spatial data, Revised Ed., Wiley, New York.
Darmawan, M. S., and Stewart, M. G. (2007). “Spatial time-dependent reliability analysis of corroding pretensioned prestressed concrete bridge girders.” Struct. Safety, 29(1), 16–31.
Duprat, F. (2007). “Reliability of RC beams under chloride-ingress.” Constr. Build. Mater., 21(8), 1605–1616.
Engelund, S. (1997). “Probabilistic models and computational methods for chloride ingress in concrete.” Ph.D. thesis, Aalborg Univ., Aalborg, Denmark.
Engelund, S., and Sorensen, J. D. (1998). “A probabilistic model for chloride—Ingress and initiation of corrosion in reinforced concrete structures.” Struct. Safety, 20(1), 69–89.
Enright, M. P., and Frangopol, D. M. (1998). “Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion.” Eng. Struct., 20(11), 960–971.
Estes, A. C., and Frangopol, D. M. (2001). “Minimum expected cost-oriented optimal maintenance planning for deteriorating structures: Application to concrete bridge decks.” Reliab. Eng. Syst. Saf., 73(3), 281–291.
European Committee for Standardization (CEN). (2007). “Products and systems for the protection and repair of concrete structures. Test methods: Determination of chloride content in hardened concrete.” EN 14629, Brussels.
Federal Highway Administration (FHwA). (2006). “Status of the nation’s highways, bridges, and transit: Conditions and performance.” U.S. Congress Rep., Dept. of Transportation, Washington, DC.
Frangopol, D. M., Kong, J. S., and Gharaibeh, E. S. (2001). “Reliability-based life-cycle management of highway bridges.” J. Comput. Civ. Eng., 15(1), 27–34.
Gomes, H. M., and Awruch, A. M. (2002). “Reliability of reinforced concrete structures using stochastic finite elements.” Eng. Comput., 19(7), 764–786.
Goovaerts, P. (1997). Geostatistics for natural resources evaluation, Oxford University Press, New York.
Jeppsson, J., and Thelandersson, S. (2003). “Behavior of reinforced concrete beams with loss of bond at longitudinal reinforcement.” J. Struct. Eng., 129(10), 1376–1383.
Karimi, A. R. (2001). “Probabilistic assessment of deterioration and strength of concrete bridge beams and slabs.” Ph.D. thesis, Univ. of London, London.
Kenshel, O. (2009). “Influence of spatial variability on whole life management of reinforced concrete bridges.” Ph.D. thesis, Trinity College Dublin, Dublin, Ireland.
Kenshel, O., and O’Connor, A. (2009). “Assessing chloride induced deterioration in condition and safety of concrete structures in marine environments.” Eur. J. Environ. Civ. Eng., 13(5), 593–612.
Kim, H. (2005). “Spatial variability in soils: Stiffness and strength.” Ph.D. thesis, Georgia Institute of Technology, Atlanta.
Li, C. Q. (2002). “Initiation of chloride-induced reinforcement corrosion in concrete structural members—Prediction.” ACI Struct. J., 99(2), 133–141.
Li, Y. (2004). “Effect of spatial variability on maintenance and repair decisions for concrete structures.” Ph.D. thesis, Delft Univ., Delft, Netherlands.
Li, Y., Vrouwenvelder, T., Wijnants, G. H., and Walraven, J. (2004). “Spatial variability of concrete deterioration and repair strategies.” Struct. Concr., 5(3), 121–129.
Liang, M.-T., Lin, L.-H., and Liang, C.-H. (2002). “Service life prediction of existing reinforced concrete bridges exposed to chloride environment.” J. Infrastruct. Syst., 8(3), 76–85.
Marsh, P. S., and Frangopol, D. M. (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.
Mullard, J. A., and Stewart, M. G. (2009). “Stochastic assessment of the timing and efficiency of maintenance for corroding RC structures.” J. Struct. Eng., 135(8), 887–895.
Ramachandran, K., Karimi, A., and Zingoni, A. (2001). “Estimation of corrosion initiation time with observed data.” Structural engineering, mechanics and computation, Elsevier Science, Oxford, U.K., 1431–1437.
Sancharoen, P., Kato, Y., and Uomoto, T. (2006). “Probabilistic model for repairing time of RC structure deteriorated by salt attack.” Seisan Kenkyu, 58(3), 265–268.
Stewart, M. G. (2004). “Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure.” Struct. Safety, 26(4), 453–470.
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. Safety, 31(1), 19–30.
Stewart, M. G., and Rosowsky, D. V. (1998). “Structural safety and serviceability of concrete bridges subject to corrosion.” J. Infrastruct. Syst., 4(4), 146–155.
Stewart, M. G., and Suo, Q. (2009). “Extent of spatially variable corrosion damage as an indicator of strength and time-dependent reliability of RC beams.” Eng. Struct., 31(1), 198–207.
Val, D. V. (2007). “Deterioration of strength of RC beams due to corrosion and its influence on beam reliability.” J. Struct. Eng., 133(9), 1297–1306.
Val, D. V., and Melchers, R. E. (1997). “Reliability of deteriorating RC slab bridges.” J. Struct. Eng., 123(12), 1638–1644.
Val, D. V., Stewart, M. G., and Melchers, R. E. (1998). “Effect of reinforcement corrosion on reliability of highway bridges.” Eng. Struct., 20(11), 1010–1019.
Vanmarcke, E. H. (1977). “Probabilistic modeling of soil profiles.” J. Geotech. Engrg. Div., 103(11), 1227–1245.
Vanmarcke, E. (1983). Random fields: Analysis and synthesis, MIT Press, Cambridge, MA.
Vu, K. A. T., and Stewart, M. G. (2000). “Structural reliability of concrete bridges including improved chloride-induced corrosion models.” Struct. Safety, 22(4), 313–333.
Vu, K. A. T., and Stewart, M. G. (2005). “Predicting the likelihood and extent of reinforced concrete corrosion-induced cracking.” J. Struct. Eng., 131(11), 1681–1689.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 18 • Issue 1 • January 2013
Pages: 3 - 14
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 20, 2011
Accepted: Jan 5, 2012
Published online: May 2, 2012
Published in print: Jan 1, 2013
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