Technical Notes
Dec 4, 2011

Modeling the Diffusion of Chloride Ion in Concrete Using Cellular Automaton

Publication: Journal of Materials in Civil Engineering
Volume 24, Issue 6

Abstract

The diffusion of chloride ions is one of the main factors that arouses steel corrosion in concrete. In this paper, a two-dimension cellular automaton (CA) model was developed to simulate the diffusion process of chloride ions in concrete. The evolution rules of the proposed CA model were validated by comparing with the Fick’s second laws (FSL), and the distinctions between the CA model and the FSL were discussed pertaining to calculation methods and substantive characteristics of chloride ion penetration in concrete. Further, an improved CA model is proposed, called the JPCA model, which considers the jump probabilities of chloride ions varying with diffusion times and depths. The numerical simulations demonstrate that the computation results on the basis of the JPCA model are closer to the experimental data than those derived from the FSL. The JPCA model proposed in this paper provides a new way to study concrete suffering from chloride ion penetration.

Get full access to this article

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

Acknowledgments

The authors would like to acknowledge the financial support of the Key Projects in the National Science & Technology Pillar Program during the Eleventh Five-Year Plan Period by the Ministry of Science and Technology of China with Grant No. 2006BAJ06B04 and the Western Communications Construction Scientific and Technological Project by the Research Institute of Highway Ministry of Transport of China with Grant No.2006 318 223 02-08.

References

American Concrete Institute (ACI). (2002). “Building code requirements for structural concrete (ACI 318-02) and the commentary (ACI 318R-02).” ACI-318, Farmington Hills, MI.
Andrade, C. (1993). “Calculation of chloride diffusion coefficients in concrete from ionic migration experiments.” Cement Concrete Res.CCNRAI, 23(3), 724–742.
Ardigò, C., and Motta, S. (2002). “Durability analysis of concrete structures subjected to the diffusive action of external aggressive agents.” Ph.D. thesis, Politecnico di Milano, Milan, Italy (In Italian).
Biondini, F., Bontempi, F., Frangopol, D. M., and Malerba, P. G. (2004). “Cellular automata approach to durability analysis of concrete structures in aggressive environments.” J. Struct. Eng.JSENDH, 130(11), 1724–1737.
Černý, R., Pavlík, Z., and Rovnaníková, P. (2004). “Experimental analysis of coupled water and chloride transport in cement mortar.” Cement Concrete Comp.CCOCEG, 26(6), 705–715.
Chatterji, S. (1995). “On the applicability of Fick’s second law to chloride ion migration through portland cement concrete.” Cement Concrete Res.CCNRAI, 25(2), 299–303.
Chinese Standard. (2002). “Code for design of concrete structures.” GB 50010-2002, China Architecture and Building, Beijing (in Chinese).
Choprad, B., and Droz, M. (1998). Cellular automata modeling of physical systems, Cambridge University Press, London.
Collepardi, M., Marcialis, A., and Turriziani, R. (1970). “The kinetics of penetration of chloride ions into the concrete.” II Cemento (Italy)CEMEAM, 67(4), 157–164 (in Italian).
Ermentrout, G. B., and Edelstein-Keshet, L. (1993). “Cellular automata approaches to biological modeling.” J. Theor. Biol.JTBIAP, 160(1), 97–133.
Euro-International Committee for Concrete-International Federation for Prestressing (CEB-FIP). (1990). “CEB-FIP Model code 1990: Design code.” CEB-FIP MC 90, Thomas Telford, London.
Federation Internationale du Beton (FIB). (2006). “Model code for service life design.” Bulletin 34, Lausanne, Switzerland.
Liu, Y. P., and Weyer, A. R. (1998). “Modeling the time to corrosion cracking in chloride contaminated reinforced concrete structures.” ACI Mater. J.AMAJEF, 95(6), 675–681.
Nagel, K., Wolf, D. E., Wager, P., and Simon, P. (1998). “Two-lane traffic rules for cellular automata: A systematic approach.” Phys. Rev. EPLEEE8, 58(2), 1425–1437.
Pack, S. W., Jung, M. S., Song, H. W., Kim, S. H., and Ann, K. Y. (2010). “Prediction of time dependent chloride transport in concrete structures exposed to a marine environment.” Cement Concrete Res.CCNRAI, 40(2), 302–312.
Podroužek, J., and Teplý, B. (2008). “Modelling of chloride transport in concrete by cellular automata.” Eng. Mech.GOLIEB, 15(3), 213–222.
Samson, E., and Marchand, J. (2007). “Modeling the transport of ions in unsaturated cement-based materials.” Comput Struct.CMSTCJ, 85(23–24), 1740–1756.
Song, H. W., Lee, C. H., and Ann, K. Y. (2008). “Factors influencing chloride transport in concrete structures exposed to marine environments.” Cement Concrete Comp.CCOCEG, 30(2), 113–121.
Thomas, M. (1996). “Chloride thresholds in marine concrete.” Cement Concrete Res.CCNRAI, 26(4), 513–519.
Tumidajski, P. J., and Chan, G. W. (1996). “Boltzmann-Matano analysis of chloride diffusion into blended cement concrete.” J. Mater. Civ. Eng.JMCEE7, 8(4), 195–200.
Von Neumann, J. (1966). Theory of self-reproducing automata, Univ. of Illinois, Urbana, IL.
Vořechovská, D., Chromá, M., Podroužek, J., Rovnaníková, P., and Teplý, B. (2009). “Modelling of chloride concentration effect on reinforcement corrosion.” Comput-Aided. Civ. Inf., 24(6), 446–458.
Wolfram, S. (1986). Theory and applications of cellular automata, World Scientific, Singapore.
Xi, Y. P., and Bazant, Z. P. (1999). “Modeling chloride penetration in saturated concrete.” J. Mater. Civ. Eng.JMCEE7, 11(1), 58–65.
Zhang, J., and Lounis, Z. (2006). “Sensitivity analysis of simplified diffusion based corrosion initiation time model of concrete structures exposed to chlorides.” Cement Concrete Res.CCNRAI, 36(7), 1312–1323.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 24Issue 6June 2012
Pages: 783 - 788

History

Received: May 23, 2011
Accepted: Dec 2, 2011
Published online: Dec 4, 2011
Published in print: Jun 1, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, School of Civil Engineering, Beijing Jiaotong Univ., Beijing 100044, China. E-mail: [email protected]
Yuanfeng Wang [email protected]
Professor, School of Civil Engineering, Beijing Jiaotong Univ., Beijing 100044, China (corresponding author). E-mail: [email protected]
Professor, School of Traffic and Transportation, Beijing Jiaotong Univ., Beijing 100044, China. E-mail: [email protected]
Ph.D. Candidate, School of Civil Engineering, Beijing Jiaotong Univ., Beijing 100044, China. E-mail: [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