Technical Papers
Aug 28, 2018

3D Cellular Automata–Based Numerical Simulation of Atmospheric Corrosion Process on Weathering Steel

Publication: Journal of Materials in Civil Engineering
Volume 30, Issue 11

Abstract

In order to reproduce the atmospheric corrosion process of weathering steel (WS), a three-dimensional (3D) cellular automata (CA) based method is proposed. Firstly, the atmospheric corrosion mechanism of WS is described. Basic assumptions are made with the purpose of simplifying the complicated corrosion process. The evolution rules of atmospheric corrosion are then proposed and the software program is developed. Secondly, the results obtained from the CA model are compared with the basic corrosion laws verified by several experiments. Results show that the basic hypotheses and evolution rules are reasonable and the model is reliable, and thus can be used to describe and to identify the corrosion kinetics, corrosion morphology, and distribution characteristics of pits for WS in atmosphere. Finally, the parameter analysis is performed and the relationship between CA model and atmospheric exposure test is established to achieve the model application. Based on the relationship, the CA model can be used to continuously predict the corrosion behaviors of WS in the long-term atmospheric corrosion process. Good agreement is obtained between the experimental and numerical results.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work presented here is supported by the National Science Fund of China (51578370) and the National Science Fund of Tianjin (16JCZDJC40300 and 16YFZCSF00460). Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect those of the sponsor.

References

Albrecht, P., and T. T. Hall. 2003. “Atmospheric corrosion resistance of structural steels.” J. Mater. Civ. Eng. 15 (1): 2–24. https://doi.org/10.1061/(ASCE)0899-1561(2003)15:1(2).
Benarie, M., and F. L. Lipfert. 1986. “A general corrosion function in terms of atmospheric pollutant concentrations and rain pH.” Atmos. Environ. 20 (10): 1947–1958. https://doi.org/10.1016/0004-6981(86)90336-7.
Biondini, F., F. Bontempi, D. M. Frangopol, and P. G. Malerba. 2004. “Cellular automata approach to durability analysis of concrete structures in aggressive environments.” J. Struct. Eng. 130 (11): 1724–1737. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:11(1724).
Bohnenkamp, K., G. Burgmann, and W. Schwenk. 1974. “Corrosion atmospherique de l’acier doux, Exposition de l’acier aux intemperies.” Galvano-Organo 445: 587–589.
Cao, J., Y. F. Wang, K. P. Li, and Y. S. Ma. 2012. “Modeling the diffusion of chloride ion in concrete using cellular automaton.” J. Mater. Civ. Eng. 24 (6): 783–788. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000440.
Chopard, B., and M. Droz. 2005. Cellular automata modeling of physical systems. Cambridge, UK: Cambridge University Press.
Cristian, F. P., D. D. Caprio, F. Damien, J. D. Lamare, and C. Annie. 2014. “Overview of cellular automaton models for corrosion.” In Vol. 8571 of Int. Conf. on Cellular Automata, 187–196. Cham, Switzerland: Springer.
Cristian, F. P., D. D. Caprio, F. Damien, J. D. Lamare, and C. Annie. 2016. “Three dimensional discrete stochastic model of occluded corrosion cell.” Corros. Sci. 111: 230–241. https://doi.org/10.1016/j.corsci.2016.04.009.
Fernandez, I., J. M. Bairán, and R. M. Antonio. 2016. “3D FEM model development from 3D optical measurement technique applied to corroded steel bars.” Constr. Build. Mater. 124: 519–532. https://doi.org/10.1016/j.conbuildmat.2016.07.133.
Frankel, G. S. 1998. “Pitting corrosion of metals.” J. Electrochem. Soc. 145 (6): 2186. https://doi.org/10.1149/1.1838615.
Gao, K., D. Li, X. Pang, and S. Yang. 2010. “Corrosion behaviour of low-carbon bainitic steel under a constant elastic load.” Corros. Sci. 52 (10): 3428–3434. https://doi.org/10.1016/j.corsci.2010.06.021.
Gong, M., Z. X. Yu, and L. Chen. 2009. Metal corrosion theory and corrosion control. [In Chinese.] Beijing: Chemical Industry Press.
Guo, T., and Y. W. Chen. 2011. “Field stress/displacement monitoring and fatigue reliability assessment of retrofitted steel bridge details.” Eng. Fail. Anal. 18 (1): 354–363. https://doi.org/10.1016/j.engfailanal.2010.09.014.
Hao, L., S. X. Zhang, J. H. Dong, and W. Ke. 2012. “Evolution of atmospheric corrosion of MnCuP weathering steel in a simulated coastal-industrial atmosphere.” Corros. Sci. 59: 270–276. https://doi.org/10.1016/j.corsci.2012.03.010.
ISO. 1995. Corrosion of metals and alloys-evaluation of pitting corrosion. ISO 11463. Geneva: ISO.
Kamimura, T., S. Hara, H. Miyuki, M. Yamashita, and H. Uchida. 2006. “Composition and protective ability of rust layer formed on weathering steel exposed to various environments.” Corros. Sci. 48 (9): 2799–2812. https://doi.org/10.1016/j.corsci.2005.10.004.
Kihira, H., T. Senuma, M. Tanaka, K. Nishioka, Y. Fujii, and Y. Sakata. 2005. “A corrosion prediction method for weathering steels.” Corros. Sci. 47 (10): 2377–2390. https://doi.org/10.1016/j.corsci.2004.10.013.
Li, L., X. G. Li, K. Xiao, and C. F. Dong. 2010. “Cellular automata simulation on the early stages of metal corrosion in moist atmospheric environment.” [In Chinese.] J. Chin. Soc. Corros. Prot. 30 (2): 114–118.
Lishchuk, S. V., R. Akid, K. Worden, and J. Michalski. 2011. “A cellular automaton model for predicting intergranular corrosion.” Corros. Sci. 53 (8): 2518–2526. https://doi.org/10.1016/j.corsci.2011.04.027.
Malki, B., and B. Baroux. 2005. “Computer simulation of the corrosion pit growth.” Corros. Sci. 47 (1): 171–182. https://doi.org/10.1016/j.corsci.2004.05.004.
Melchers, R. E. 2008. “A new interpretation of the corrosion loss processes for weathering steels in marine atmospheres.” Corros. Sci. 50 (12): 3446–3454. https://doi.org/10.1016/j.corsci.2008.09.003.
Melchers, R. E., and J. Paik. 2009. “Effect of tensile strain on the rate of marine corrosion of steel plates.” Corros. Sci. 51 (10): 2298–2303. https://doi.org/10.1016/j.corsci.2009.06.010.
Miura, S., M. Murase, T. Okamoto, D. D. Tung, and E. Iwasaki. 2017. “Corrosion behavior and applicability of weathering steel in Vietnam.” J. Mater. Civ. Eng. 29 (4): 04016264. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001817.
Morcillo, M., B. Chico, I. Díaz, H. Cano, and D. D. Fuente. 2013. “Atmospheric corrosion data of weathering steels: A review.” Corros. Sci. 77: 6–24. https://doi.org/10.1016/j.corsci.2013.08.021.
Morcillo, M., I. Díaz, B. Chico, H. Cano, and D. D. Fuente. 2014. “Weathering steels: From empirical development to scientific design: A review.” Corros. Sci. 83: 6–31. https://doi.org/10.1016/j.corsci.2014.03.006.
Neumann, J. V., and A. W. Burks. 1966. Theory of self-reproducing automata. Urbana, IL: University of Illinois Press.
Nishikata, A., Q. J. Zhu, and E. Tada. 2014. “Long-term monitoring of atmospheric corrosion at weathering steel bridges by an electrochemical impedance method.” Corros. Sci. 87: 80–88. https://doi.org/10.1016/j.corsci.2014.06.007.
Pidaparti, R. M., L. Fang, and M. J. Palakal. 2008. “Computational simulation of multi-pit corrosion process in materials.” Comput. Mater. Sci. 41 (3): 255–265. https://doi.org/10.1016/j.commatsci.2007.04.017.
Pidaparti, R. M., P. A. Puri, M. J. Palakal, and A. Kashyap. 2007. “Three-dimensional computational simulation of surface corrosion damage.” AIAA J. 45 (10): 2575–2579. https://doi.org/10.2514/1.18149.
Pourbaix, M. 1982. “The linear bilogaritmic law for atmospheric corrosion.” In Atmospheric corrosion: The electrochemical society, edited by W. H. Ailor, 107–121. New York: Wiley.
Qiao, G. F., Y. Hong, and J. Ou. 2014. “Quantitative monitoring of pitting corrosion based on 3-D cellular automata and real-time ENA for RC structures.” Measurement 53: 270–276. https://doi.org/10.1016/j.measurement.2014.03.045.
Saunier, J., A. Chaussé, J. Stafiej, and J. P. Badiali. 2004. “Simulations of diffusion limited corrosion at the metal environment interface.” J. Electro. Chem. 563 (2): 239–247. https://doi.org/10.1016/j.jelechem.2003.09.017.
Scully, J. C. 1975. The fundamentals of corrosion. Oxford, UK: Pergamon Press.
Taleb, A., A. Chaussé, M. Dymitrowska, J. Stafiej, and J. P. Badiali. 2004. “Simulations of corrosion and passivation phenomena: Diffusion feedback on the corrosion rate.” J. Phys. Chem. B 108 (3): 952–958. https://doi.org/10.1021/jp035377g.
Vautrin-Ul, C., A. Taleb, J. Stafiej, A. Chaussé, and J. P Badiali. 2007. “Mesoscopic modelling of corrosion phenomena: Coupling between electrochemical and mechanical processes, analysis of the deviation from the Faraday law.” Electrochim. Acta 52 (17): 5368–5376. https://doi.org/10.1016/j.electacta.2007.02.051.
Wang, H. L., J. G. Dai, X. Y. Sun, and X. L. Zhang. 2016. “Time-dependent and stress-dependent chloride diffusivity of concrete subjected to sustained compressive loading.” J. Mater. Civ. Eng. 28 (8): 04016059. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001578.
Wang, H. T., and E. H. Han. 2013. “Simulation of metastable corrosion pit development under mechanical stress.” Corros. Sci. 90: 128–134. https://doi.org/10.1016/j.electacta.2012.11.056.
Wang, Z. F., J. R. Liu, L. X. Wu, R. D. Han, and Y. Q. Sun. 2013. “Study of the corrosion behavior of weathering steels in atmospheric environments.” Corros. Sci. 67: 1–10. https://doi.org/10.1016/j.corsci.2012.09.020.
Weibull, W. 1951. “A statistical distributions function of wide applicability.” J. Appl. Mech. 9: 293–297.
Xu, Y. D., C. X. Qian, and J. Y. Sun. 2012. “Evolution and distribution of corrosion pits in reinforcing bars under coupled chemo-mechanical attacks.” [In Chinese.] J. Southeast Univ. (Nat. Sci. Ed.) 42 (3): 492–497.
Zhao, Y., J. Dong, Y. Wu, H. L. Wang, X. Li, and Q. Xu. 2014. “Steel corrosion and corrosion-induced cracking in recycled aggregate concrete.” Corros. Sci. 85: 241–250. https://doi.org/10.1016/j.corsci.2014.04.028.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 30Issue 11November 2018

History

Received: Jan 30, 2018
Accepted: May 15, 2018
Published online: Aug 28, 2018
Published in print: Nov 1, 2018
Discussion open until: Jan 28, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, School of Civil Engineering, Tianjin Univ., Tianjin 300072, P.R. China. Email: [email protected]
Jingfu Kang, Ph.D. [email protected]
Professor, School of Civil Engineering, Tianjin Univ., Tianjin 300072, P.R. China; Professor, Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin Univ., Tianjin 300072, P.R. China. Email: [email protected]
Jinsong Zhu, Ph.D. [email protected]
Professor, School of Civil Engineering, Tianjin Univ., Tianjin 300072, P.R. China; Professor, Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin Univ., Tianjin 300072, P.R. China (corresponding author). Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share