Technical Papers
Sep 17, 2012

Probabilistic Analysis of Corrosion of Reinforcement in RC Bridges Considering Fuzziness and Randomness

Publication: Journal of Structural Engineering
Volume 139, Issue 9

Abstract

A general methodology for probabilistic corrosion analysis of reinforcing bar in RC bridges is proposed in this paper. Uncertainties due to limited number of experimental data, incomplete inspection information, as well as the intrinsic randomness of random variables affect the prognostics of corrosion damage. The proposed study includes both fuzziness and randomness to consider different types of uncertainties. First, the chloride-induced corrosion initiation and propagation model are developed for reinforcement in RC bridge. The relationship between the area corrosion rate and the yield strength degradation is proposed on the basis of experimental investigation from accelerated corrosion testing. Following this, the randomness and fuzziness are included using fuzzy random variables to consider the uncertainties of the degradation under corrosive environments. The probabilistic modeling of the mean and the SD of reinforcement yield strength is discussed in detail. Finally, the proposed methodology is illustrated and validated with field measurements of corroded reinforcement in RC beams from a 34-year-old decommissioned RC bridge. The predicted results agree well with experimental values.

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Acknowledgments

This work reported here was conducted with financial support from the National Natural Science Foundation of China (Grant No. 50908023), the Innovative Platform Open Fund of Colleges and Universities of Hunan Province (Grant No. 11K004), Hunan Provincial Innovation Foundation for Postgraduate (Grant No. CX2012A015), and the Special Fund of Excellent Doctoral Dissertations of Hunan Province (Grant No. YB2011B039). The support is gratefully acknowledged.

References

Cairns, J., Plizzari, G. A., Du, Y., Law, D. W., and Franzoni, C. (2005). “Mechanical properties of corrosion-damaged reinforcement.” ACI Mater. J., 102(4), 256–264.
Choe, D., Gardoni, P., Rosowsky, D., and Haukaas, T. (2008). “Probabilistic capacity models and seismic fragility estimates for RC columns subject to corrosion.” Reliab. Eng. Syst. Saf., 93(3), 383–393.
Choe, D., Gardoni, P., Rosowsky, D., and Haukaas, T. (2009). “Seismic fragility estimates for reinforced concrete bridges subject to corrosion.” Struct. Saf., 31(4), 275–283.
Dey, A., and Mahadevan, S. (2000). “Reliability estimation with time-variant loads and resistances.” J. Struct. Eng., 126(5), 612–620.
Du, Y. G., Clark, L. A., and Chan, A. H. C. (2005). “Residual capacity of corroded reinforcing bars.” Mag. Concr. Res., 57(3), 135–147.
Engelund, S., and Sørensen, J. D. (1998). “A probabilistic model for chloride-ingress and initiation of corrosion in reinforced concrete structures.” Struct. Saf., 20(1), 69–89.
Enright, M. P., and Frangopol, D. M. (1998a). “Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion.” Eng. Struct., 20(11), 960–971.
Enright, M. P., and Frangopol, D. M. (1998b). “Service-life prediction of deteriorating concrete bridges.” J. Struct. Eng., 124(3), 309–317.
Enright, M. P., and Frangopol, D. M. (1999a). “Condition prediction of deteriorating concrete bridges using bayesian updating.” J. Struct. Eng., 125(10), 1118–1125.
Enright, M. P., and Frangopol, D. M. (1999b). “Reliability-based condition assessment of deteriorating concrete bridges considering load redistribution.” Struct. Saf., 21(2), 159–195.
Ghosh, J., and Padgett, J. E. (2010). “Aging considerations in the development of time-dependent seismic fragility curves.” J. Struct. Eng., 136(12), 1497–1511.
Higgins, C., and Farrow, W. C. (2006). “Tests of reinforced concrete beams with corrosion-damaged stirrups.” ACI Struct. J., 103(1), 133–141.
Hong, H. P. (2000). “Assessment of reliability of aging reinforced concrete structures.” J. Struct. Eng., 126(12), 1458–1465.
Jiang, Q., and Chen, C. H. (2003). “A numerical algorithm of fuzzy reliability.” Reliab. Eng. Syst. Saf., 80(3), 299–307.
Kwakernaak, H. (1978). “Fuzzy random variables. I. Definitions and theorems.” Inf. Sci., 15(1), 1–29.
Liu, Y., Qiao, Z., and Wang, G. (1997). “Fuzzy random reliability of structures based on fuzzy random variables.” Fuzzy Sets Syst., 86(3), 345–355.
Liu, Y., and Weyers, R. E. (1998). “Modeling the time-to-corrosion cracking in chloride contaminated reinforced concrete structures.” ACI Mater. J., 95(6), 675–680.
Malumbela, G., Alexander, M., and Moyo, P. (2010). “Variation of steel loss and its effect on the ultimate flexural capacity of RC beams corroded and repaired under load.” Construct. Build. Mater., 24(6), 1051–1059.
Marano, G. C., Quaranta, G., and Mezzina, M. (2008). “Fuzzy time-dependent reliability analysis of RC beams subject to pitting corrosion.” J. Mater. Civ. Eng., 20(9), 578–587.
Möller, B., Beer, M., Graf, W., and Sickert, J.-U. (2006). “Time-dependent reliability of textile-strengthened RC structures under consideration of fuzzy randomness.” Comput. Struct, 84(8–9), 585–603.
Möller, B., Graf, W., and Beer, M. (2003). “Safety assessment of structures in view of fuzzy randomness.” Comput. Struct, 81(15), 1567–1582.
Otsuki, N., Miyazato, S., Diola, N. B., and Suzuki, H. (2000). “Influence of bending crack and water-cement ratio on chloride-induced corrosion of main reinforcing bars and stirrups.” ACI Mater. J., 97(4), 454–464.
Puri, M. L., and Ralescu, D. A. (1986). “Fuzzy random variables.” J. Math. Anal. Appl., 114(2), 409–422.
Stewart, M. G. (2009). “Mechanical behavior of pitting corrosion of flexural and shear reinforcement and its effect on structural reliability of corroding RC beams.” Struct. Saf., 31(1), 19–30.
Stewart, M. G., and Rosowsky, D. V. (1998). “Time-dependent reliability of deteriorating reinforced concrete bridge decks.” Struct. Saf., 20(1), 91–109.
Thoft-Christensen, P., Jensen, F. M., Middleton, C. R., and Blackmore, A. (1997). “Assessment of the reliability of concrete slab bridges.” Reliability and optimization of structural systems, D. M. Frangopol, R. B. Corotis, and R. Rackwitz, eds., Pergamon, Oxford, U.K., 321–328.
Torres-Acosta, A. A., Navarro-Gutierrez, S., and Terán-Guillén, J. (2007). “Residual flexure capacity of corroded reinforced concrete beams.” Eng. Struct., 29(6), 1145–1152.
Val, D. V., and Melchers, R. E. (1997). “Reliability of deteriorating RC slab bridges.” J. Struct. Eng., 123(12), 1638–1644.
Vu, K. A. T., and Stewart, M. G. (2000). “Structural reliability of concrete bridges including improved chloride-induced corrosion models.” Struct. Saf., 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.
Wu, H. C. (2004a). “Bayesian system reliability assessment under fuzzy environments.” Reliab. Eng. Syst. Saf., 83(3), 277–286.
Wu, H. C. (2004b). “Fuzzy reliability estimation using bayesian approach.” Comput. Ind. Eng., 46(3), 467–493.
Yanaka, M. (2004). “Reliability-based criteria for corrosion in prestressed concrete bridge girders.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Michigan, Ann Arbor, MI.
Zhang, J., Li, C., Xu, F., and Yu, X. (2007). “Test and analysis for ultimate load-carrying capacity of existing reinforced concrete arch ribs.” J. Bridge Eng., 12(1), 4–12.
Zhong, J., Gardoni, P., and Rosowsky, D. (2010). “Stiffness degradation and time to cracking of cover concrete in reinforced concrete structures subject to corrosion.” J. Eng. Mech., 136(2), 209–219.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 139Issue 9September 2013
Pages: 1529 - 1540

History

Received: Aug 5, 2011
Accepted: Sep 12, 2012
Published online: Sep 17, 2012
Published in print: Sep 1, 2013

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Authors

Affiliations

Associate Professor, School of Civil Engineering and Archeology, Changsha Univ. of Science and Technology, No. 960 Wanjiali Rd., Changsha, Hunan 410114, China. E-mail: [email protected]
Doctoral Student, School of Civil Engineering and Archeology, Changsha Univ. of Science and Technology, No. 960 Wanjiali Rd., Changsha, Hunan 410114, China. E-mail: [email protected]
Jianren Zhang [email protected]
Professor, School of Civil Engineering and Archeology, Changsha Univ. of Science and Technology, No. 960 Wanjiali Rd., Changsha, Hunan 410114, China (corresponding author). E-mail: [email protected]
Yongming Liu, A.M.ASCE [email protected]
Associate Professor, Arizona State Univ., Tempe, AZ 85287. E-mail: [email protected]

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