Stochastic Modeling of Deterioration and Time-Variant Performance of Reinforced Concrete Structures under Joint Effects of Earthquakes, Corrosion, and ASR
Publication: Journal of Structural Engineering
Volume 147, Issue 2
Abstract
To assess the time-variant performance of RC structures, it is important to model the various deterioration processes as well as their interactions in addition to the associated uncertainties. Besides earthquakes and corrosion, RC structures can also be subject to deterioration due to alkali-silica reaction (ASR), which could impact the corrosion process. This paper develops a novel deterioration model for RC structures that captures the joint effects of deterioration due to earthquakes, corrosion, and ASR. The model is constructed using a novel stochastic formulation that captures the interaction of different deterioration mechanisms by modeling deterioration as both age/time and state dependent. The developed deterioration model is then used to estimate the time-variant seismic fragility and reliability of an example RC bridge. The impacts of interactions between deterioration processes on the time-variant performance are investigated in detail under different earthquake occurrence rates, different levels of ASR, and different levels of interactions. The results highlight the importance of incorporating different deterioration processes and their interactions when estimating the time-variant performances of RC structures.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
Part of the research was supported by the Center for Risk-Based Community Resilience Planning funded by the US National Institute of Standards and Technology under Award No. 70NANB15H044.
References
ASTM. 2004a. Standard test method for acid-soluble chloride in mortar and concrete. ASTM C1152. West Conshohocken, PA: ASTM.
ASTM. 2004b. Standard test method for determining the apparent chloride diffusion coefficient of cementitious mixtures by bulk diffusion. ASTM C1556. West Conshohocken, PA: ASTM.
ASTM. 2007a. Standard practice for making and curing concrete test specimens in the laboratory. ASTM C192. West Conshohocken, PA: ASTM.
ASTM. 2007b. Standard test method for determining effects of chemical admixtures on corrosion of embedded steel reinforcement in concrete exposed to chloride environments. ASTM G109. West Conshohocken, PA: ASTM.
ASTM. 2009. Standard test method for corrosion potentials of uncoated reinforcing steel in concrete. ASTM C876. West Conshohocken, PA: ASTM.
Box, G. E. P., and G. C. Tiao. 1992. Bayesian inference in statistical analysis. Hoboken, NJ: Wiley.
Choe, D.-E., P. Gardoni, and D. Rosowsky. 2007. “Closed-form fragility estimates, parameter sensitivity, and Bayesian updating for RC columns.” J. Eng. Mech. 133 (7): 833–843. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:7(833).
Choe, D.-E., P. Gardoni, and D. Rosowsky. 2010. “Fragility increment functions for deteriorating reinforced concrete bridge columns.” J. Eng. Mech. 136 (8): 969–978. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000147.
Choe, D.-E., 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.
Choe, D.-E., P. Gardoni, D. Rosowsky, and T. Haukaas. 2009. “Seismic fragility estimates for reinforced concrete bridges subject to corrosion.” Struct. Saf. 31 (4): 275–283. https://doi.org/10.1016/j.strusafe.2008.10.001.
Dong, Y., and D. M. Frangopol. 2015. “Risk and resilience assessment of bridges under mainshock and aftershocks incorporating uncertainties.” Eng. Struct. 83 (Jan): 198–208. https://doi.org/10.1016/j.engstruct.2014.10.050.
DuraCrete. 1998. Modelling of degradation: DuraCrete, probabilistic performance based durability design of concrete structures. Brussels, Belgium: European Union.
Eck Olave, M. K., J. M. Bracci, P. Gardoni, and D. Trejo. 2015a. “Performance of RC columns affected by ASR. I: Accelerated exposure and damage.” J. Bridge Eng. 20 (3): 4014069. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000655.
Eck Olave, M. K., J. M. Bracci, P. Gardoni, and D. Trejo. 2015b. “Performance of RC columns affected by ASR. II: Experiments and assessment.” J. Bridge Eng. 20 (3): 4014070. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000657.
Ehlen, M. A., M. D. Thomas, and E. C. Bentz. 2009. “Life-365 service life prediction modeltm version 2.0.” Concr. Inst. 31 (5): 41–46.
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.
Gardoni, P. 2017. Risk and reliability analysis: Theory and applications. Berlin: Springer.
Gardoni, P., A. Der Kiureghian, and K. M. 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 (1): 79–106. https://doi.org/10.1142/S1363246903001024.
Huang, Q., P. Gardoni, D. Trejo, and A. Pagnotta. 2014. “Probabilistic model for steel–concrete bond behavior in bridge columns affected by alkali silica reactions.” Eng. Struct. 71 (Jul): 1–11. https://doi.org/10.1016/j.engstruct.2014.03.041.
Jeffreys, H. 1961. Theory of probability. 3rd ed. Oxford, UK: Clarendon Press.
Jia, G., and P. Gardoni. 2018a. “Simulation-based approach for estimation of the stochastic performances of deteriorating engineering systems.” Probab. Eng. Mech. 52 (Jan): 28–39. https://doi.org/10.1016/j.probengmech.2018.03.001.
Jia, G., and P. Gardoni. 2018b. “State-dependent stochastic models: A general stochastic framework for modeling deteriorating engineering systems considering multiple deterioration processes and their interactions.” Struct. Saf. 72 (May): 99–110. https://doi.org/10.1016/j.strusafe.2018.01.001.
Jia, G., and P. Gardoni. 2019. “Stochastic life-cycle analysis: Renewal-theory life-cycle analysis with state-dependent deterioration stochastic models.” Struct. Infrastruct. Eng. 69015 (8): 1001–1014. https://doi.org/10.1016/j.strusafe.2018.01.001.
Jia, G., A. Tabandeh, and P. Gardoni. 2017. “Life-cycle analysis of engineering systems: Modeling deterioration, instantaneous reliability, and resilience.” In Risk and reliability analysis: Theory and applications. Berlin: Springer.
Kumar, R., D. B. Cline, and P. Gardoni. 2015. “A stochastic framework to model deterioration in engineering systems.” Struct. Saf. 53 (Mar): 36–43. https://doi.org/10.1016/j.strusafe.2014.12.001.
Kumar, R., and P. Gardoni. 2012. “Modeling structural degradation of RC bridge columns subjected to earthquakes and their fragility estimates.” J. Struct. Eng. 138 (1): 42–51. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000450.
Kumar, R., and P. Gardoni. 2014a. “Effect of seismic degradation on the fragility of reinforced concrete bridges.” Eng. Struct. 79 (Nov): 267–275. https://doi.org/10.1016/j.engstruct.2014.08.019.
Kumar, R., and P. Gardoni. 2014b. “Renewal theory-based life-cycle analysis of deteriorating engineering systems.” Struct. Saf. 50 (Sep): 94–102. https://doi.org/10.1016/j.strusafe.2014.03.012.
Leng, F., N. Feng, and X. Lu. 2000. “An experimental study on the properties of resistance to diffusion of chloride ions of fly ash and blast furnace slag concrete.” Cem. Concr. Res. 30 (6): 989–992. https://doi.org/10.1016/S0008-8846(00)00250-7.
Li, M., and G. Jia. 2020. “Bayesian updating of bridge condition deterioration models using complete and incomplete inspection data.” J. Bridge Eng. 25 (3): 04020007. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001530.
Li, Q., C. Wang, and B. R. Ellingwood. 2015. “Time-dependent reliability of aging structures in the presence of non-stationary loads and degradation.” Struct. Saf. 52 (Jan): 132–141. https://doi.org/10.1016/j.strusafe.2014.10.003.
Luping, T., and J. Gulikers. 2007. “On the mathematics of time-dependent apparent chloride diffusion coefficient in concrete.” Cem. Concr. Res. 37 (4): 589–595. https://doi.org/10.1016/j.cemconres.2007.01.006.
Mazarei, V., D. Trejo, J. H. Ideker, and O. B. Isgor. 2017. “Synergistic effects of ASR and fly ash on the corrosion characteristics of RC systems.” Constr. Build. Mater. 153 (Oct): 647–655. https://doi.org/10.1016/j.conbuildmat.2017.07.097.
Mori, Y., and B. R. Ellingwood. 1993. “Reliability-based service-life assessment of aging concrete structures.” J. Struct. Eng. 119 (5): 1600–1621. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:5(1600).
Otieno, M., H. Beushausen, and M. Alexander. 2011. “Prediction of corrosion rate in RC structures—A critical review.” In Modelling of corroding concrete structures, 15–37. Berlin: Springer.
Petcherdchoo, A. 2013. “Time dependent models of apparent diffusion coefficient and surface chloride for chloride transport in fly ash concrete.” Constr. Build. Mater. 38 (Jan): 497–507. https://doi.org/10.1016/j.conbuildmat.2012.08.041.
Sanchez-Silva, M., and G. A. Klutke. 2016. Reliability and life-cycle analysis of deteriorating systems. Berlin: Springer.
Sanchez-Silva, M., G. A. Klutke, and D. V. Rosowsky. 2011. “Life-cycle performance of structures subject to multiple deterioration mechanisms.” Struct. Saf. 33 (3): 206–217. https://doi.org/10.1016/j.strusafe.2011.03.003.
Shafaatian, S. M., A. Akhavan, H. Maraghechi, and F. Rajabipour. 2013. “How does fly ash mitigate alkali–silica reaction (ASR) in accelerated mortar bar test (ASTM C1567)?” Cem. Concr. Compos. 37 (Mar): 143–153. https://doi.org/10.1016/j.cemconcomp.2012.11.004.
Shehata, M. H., and M. D. Thomas. 2000. “The effect of fly ash composition on the expansion of concrete due to alkali–silica reaction.” Cem. Concr. Res. 30 (7): 1063–1072. https://doi.org/10.1016/S0008-8846(00)00283-0.
Shehata, M. H., and M. D. Thomas. 2002. “Use of ternary blends containing silica fume and fly ash to suppress expansion due to alkali–silica reaction in concrete.” Cem. Concr. Res. 32 (3): 341–349. https://doi.org/10.1016/S0008-8846(01)00680-9.
Stewart, M. G., and D. V. Rosowsky. 1998. “Time-dependent reliability of deteriorating reinforced concrete bridge decks.” Struct. Saf. 20 (1): 91–109. https://doi.org/10.1016/S0167-4730(97)00021-0.
Trejo, D., V. Mazarei, J. H. Ideker, and O. B. Isgor. 2017. “Influence of alkali-silica reaction reactivity on corrosion in reinforced concrete.” ACI Mater. J. 114 (5): 723–731. https://doi.org/10.14359/51689895.
van Noortwijk, J. M., and D. M. Frangopol. 2004. “Two probabilistic life-cycle maintenance models for deteriorating civil infrastructures.” Probab. Eng. Mech. 19 (4): 345–359. https://doi.org/10.1016/j.probengmech.2004.03.002.
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.
Yeo, G. L., and C. A. Cornell. 2009. “A probabilistic framework for quantification of aftershock ground-motion hazard in California.” Earthquake Eng. Struct. Dyn. 38 (1): 45–60. https://doi.org/10.1002/eqe.840.
Zhong, J., P. Gardoni, and D. Rosowsky. 2009. “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 Structural Engineering
Volume 147 • Issue 2 • February 2021
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© 2020 American Society of Civil Engineers.
History
Received: Feb 3, 2020
Accepted: Aug 23, 2020
Published online: Nov 19, 2020
Published in print: Feb 1, 2021
Discussion open until: Apr 19, 2021
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