Complexity Modeling of Corrosion in Carbon Fiber- Reinforced Polymer-Retrofitted Concrete Bridge

International Concrete Abstracts Portal

The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.

  


Title: Complexity Modeling of Corrosion in Carbon Fiber- Reinforced Polymer-Retrofitted Concrete Bridge

Author(s): Yail J. Kim and Jun Wang

Publication: Structural Journal

Volume: 119

Issue: 4

Appears on pages(s): 3-18

Keywords: bridge; carbon fiber-reinforced polymer (CFRP); complexity; durability; rehabilitation; strengthening

DOI: 10.14359/51732645

Date: 7/1/2022

Abstract:
This paper presents an analytical investigation into the kinetics of chloride and its ensuing potential for diffusion-driven corrosion in a two-span solid-slab highway bridge, including capacity reductions and strength recovery using carbon fiber-reinforced polymer (CFRP) composites. An open-source complex systems solver, processing mutual interactions between discrete entities (agent-based modeling), is used to predict the movement of chlorides in the spatial and temporal domains of the reinforced concrete superstructure at variable cover depths. Three exposure conditions (splash, deicing, and coastal) are modeled to represent corrosive environments during a service period of 100 years. A complexity index is defined on the basis of Shannon’s entropy and quantifies the degree of disorder in a diffusion process. The efficacy of strengthening the corrosion-damaged bridge with CFRP sheets is elaborated. The diffusion coefficients of chlorides decline with time, while the rates become stable and independent of concrete strength after 20 years. Depending upon the distance from the concrete surface, a response transition is noticed in chloride concentrations owing to the transferred intensity of equilibrium chlorides. The corrosion current density of the reinforcement is influenced by the exposure conditions and cover depths. Complexity indexes belonging to the splash condition are higher than those of other conditions, which are dictated by the concrete strength. The concrete cover controls the migration of chlorides, thereby affecting the initiation and progression of corrosion damage, and the presence of an effective propagation depth is substantiated. The capacity reduction of the superstructure is noticeable under the deicing condition compared with those under the splash and coastal conditions. The enhancement of the bridge’s flexural capacity with CFRP strengthening is a function of the concrete strength and cover depth.

Related References:

1. Alexander, M.; Bentur, A.; and Mindess, S., Durability of Concrete: Design and Construction, CRC Press, Boca Raton, FL, 2017, 345 pp.

2. Beushausen, H.; Torrent, R.; and Alexander, M. G., “Performance-Based Approaches for Concrete Durability: State of the Art and Future Research Needs,” Cement and Concrete Research, V. 119, May 2019, pp. 11-20. doi: 10.1016/j.cemconres.2019.01.003

3. Akhoondan, M., and Bell, G. E. C., “Fastener Corrosion,” Structure, V. 13, No. 3, Mar. 2016, pp. 74-75.

4. El Maaddawy, T., and Soudki, K., “Carbon-Fiber-Reinforced Polymer Repair to Extend Service Life of Corroded Reinforced Concrete Beams,” Journal of Composites for Construction, ASCE, V. 9, No. 2, Apr. 2005, pp. 187-194. doi: 10.1061/(ASCE)1090-0268(2005)9:2(187)

5. ACI Committee 440, “Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures (ACI 440.2R-17),” American Concrete Institute, Farmington Hills, MI, 2017, 112 pp.

6. Mitchell, M., Complexity: A Guided Tour, Oxford University Press, New York City, NY, 2009, 368 pp.

7. Ladyman, J.; Lambert, J.; and Wiesner, K., “What Is a Complex System?” European Journal for Philosophy of Science, V. 3, No. 1, Jan. 2013, pp. 33-67. doi: 10.1007/s13194-012-0056-8

8. Allender, E., and Mertz, I., “Complexity of Regular Functions,” Journal of Computer and System Sciences, V. 104, Sept. 2019, pp. 5-16. doi: 10.1016/j.jcss.2016.10.005

9. Waldherr, A., and Wettstein, M., “Bridging the Gaps: Using Agent-Based Modeling to Reconcile Data and Theory in Computational Communication Science,” International Journal of Communication, V. 13, 2019, pp. 3976-3999.

10. Kauffman, S., At Home in the Universe: The Search for the Laws of Self-Organization and Complexity, Oxford University Press, Oxford, UK, 1996, 336 pp.

11. AASHTO, “AASHTO LRFD Bridge Design Specifications,” eighth edition, American Association of State Highway and Transportation Officials, Washington, DC, 2017.

12. ACI Committee 211, “Standard Practice for Selecting Proportions for Normal, Heavyweight, and Mass Concrete (ACI 211.1-91) (Reapproved 2002),” American Concrete Institute, Farmington Hills, MI, 2002, 38 pp.

13. Smith, J. L., and Virmani, Y. P., “Performance of Epoxy-Coated Rebars in Bridge Decks,” Public Roads, V. 60, No. 2, 1996, pp. 6-12.

14. Val, D. V., and Trapper, P. A., “Probabilistic Evaluation of Initiation Time of Chloride-Induced Corrosion,” Reliability Engineering & System Safety, V. 93, No. 3, Mar. 2008, pp. 364-372. doi: 10.1016/j.ress.2006.12.010

15. Kassem, F.; Bertrand, D.; Brun, M.; and Liman, A., “Reliability Analysis of Reinforced Concrete Slab Subjected to Low Velocity Impact Accounting of Material Damage,” Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures: Proceedings of the 11th International Conference on Structural Safety and Reliability, G. Deodatis, B. R. Ellingwood, and D. M. Frangopol, eds., New York, June 2013, pp. 5089-5096.

16. García-Segura, T.; Yepes, V.; Frangopol, D. M.; and Yang, D. Y., “Comparing the Life-Cycle Cost of Optimal Bridge Designs Using a Lifetime Reliability-Based Approach,” Life-Cycle of Engineering Systems: Emphasis on Sustainable Civil Infrastructure: Proceedings of the Fifth International Symposium on Life-Cycle Civil Engineering (IALCCE 2016), J. Bakker, D. M. Frangopol, and K. van Breugel, eds., Delft, the Netherlands, 2017, pp. 1146-1153.

17. McGee, R., “Modelling of Durability Performance of Tasmanian Bridges,” Applications of Statistics and Probability: Civil Engineering Reliability and Risk Analysis: Proceedings of the ICASP 8 Conference, R. E. Melchers and M. G. Stewart, eds., Sydney, NSW, Australia, Dec. 1999, pp. 297-306.

18. Tumialan, J. G.; Huang, P.-C.; and Nanni, A., “Strengthening of an Impacted PC Girder on Bridge A10062, St. Louis County, Missouri,” Report No. RDT 01-013, Center for Infrastructure Engineering Studies, Rolla, MO, Nov. 2001, 41 pp.

19. AASHTO, “The Manual for Bridge Evaluation,” third edition, American Association of State Highway and Transportation Officials, Washington, DC, 2017.

20. AASHTO, “Guide Specifications for Design of Bonded FRP Systems for Repair and Strengthening of Concrete Bridge Elements,” American Association of State Highway and Transportation Officials, Washington, DC, 2012.

21. ACI Committee 400, “Specification for Carbon and Glass Fiber-Reinforced Polymer (FRP) Materials Made by Wet Layup for External Strengthening of Concrete and Masonry Structures (ACI 440.8-13),” American Concrete Institute, Farmington Hills, MI, 2013, 4 pp.

22. Kalfat, R.; Al-Mahaidi, R.; and Smith, S. T., “Anchorage Devices Used to Improve the Performance of Reinforced Concrete Beams Retrofitted with FRP Composites: State-of-the-Art Review,” Journal of Composites for Construction, ASCE, V. 17, No. 1, Feb. 2013, pp. 14-33. doi: 10.1061/(ASCE)CC.1943-5614.0000276

23. Li, J.; Xie, J.; Liu, F.; and Lu, Z., “A Critical Review and Assessment for FRP-Concrete Bond Systems with Epoxy Resin Exposed to Chloride Environments,” Composite Structures, V. 229, Dec. 2019, Article No. 111372. doi: 10.1016/j.compstruct.2019.111372

24. Wilensky, U., “NetLogo: The Center for Connected Learning and Computer-Based Modeling,” Northwestern University, Evanston, IL, 1999.

25. Ugural, A. C., and Fenster, S. K., Advanced Strength and Applied Elasticity, third edition, Prentice-Hall, Upper Saddle River, NJ, 1995.

26. Park, K. J.; Ardito, T. H.; Ito, A. P.; Park, K. J. B.; de Oliveira, R. A.; and Chiorato, M., “Effective Diffusivity Determination Considering Shrinkage by Means of Explicit Finite Difference Method,” Drying Technology, V. 25, No. 7-8, 2007, pp. 1313-1319. doi: 10.1080/07373930701438873

27. Bamforth, P. B.; Price, W. F.; and Emerson, M., “An International Review of Chloride Ingress into Structural Concrete (Contractor Report 359),” TRL, Edinburgh, UK, 1997, 162 pp.

28. Zhang, J.-Z.; McLoughlin, I. M.; and Buenfeld, N. R., “Modelling of Chloride Diffusion into Surface-Treated Concrete,” Cement and Concrete Composites, V. 20, No. 4, 1998, pp. 253-261. doi: 10.1016/S0958-9465(98)00003-1

29. Tennakoon, C.; Shayan, A.; Sanjayan, J. G.; and Xu, A., “Chloride Ingress and Steel Corrosion in Geopolymer Concrete Based on Long Term Tests,” Materials & Design, V. 116, Feb. 2017, pp. 287-299. doi: 10.1016/j.matdes.2016.12.030

30. Costa, A., and Appleton, J., “Chloride Penetration into Concrete in Marine Environment-Part II: Prediction of Long Term Chloride Penetration,” Materials and Structures, V. 32, No. 5, June 1999, pp. 354-359. doi: 10.1007/BF02479627

31. Thoft-Christensen, P.; Jensen, F. M.; Middleton, C. R.; and Blackmore, A., “Assessment of the Reliability of Concrete Slab Bridges,” Reliability and Optimization of Structural Systems: Proceedings of the Seventh IFIP WG 7.5 Working Conference, D. M. Frangopol, R. B. Corotis, and R. Rackwitz, eds., Boulder, CO, 1996, 8 pp.

32. Elsener, B., and Angst, U., “Corrosion Inhibitors for Reinforced Concrete,” Science and Technology of Concrete Admixtures, 2016, pp. 321-339.

33. Stewart, M. G., and Rosowsky, D. V., “Time-Dependent Reliability of Deteriorating Reinforced Concrete Bridge Decks,” Structural Safety, V. 20, No. 1, 1998, pp. 91-109. doi: 10.1016/S0167-4730(97)00021-0

34. Val, D. V., and Stewart, M. G., “Life-Cycle Cost Analysis of Reinforced Concrete Structures in Marine Environments,” Structural Safety, V. 25, No. 4, Oct. 2003, pp. 343-362. doi: 10.1016/S0167-4730(03)00014-6

35. Liu, T., and Weyers, R. W., “Modeling the Dynamic Corrosion Process in Chloride Contaminated Concrete Structures,” Cement and Concrete Research, V. 28, No. 3, Mar. 1998, pp. 365-379. doi: 10.1016/S0008-8846(98)00259-2

36. Val, D. M., and Melchers, R. E., “Reliability of Deteriorating RC Slab Bridges,” Journal of Structural Engineering, ASCE, V. 123, No. 12, Dec. 1997, pp. 1638-1644. doi: 10.1061/(ASCE)0733-9445(1997)123:12(1638)

37. Cao, C., and Cheung, M. M. S., “Non-Uniform Rust Expansion for Chloride-Induced Pitting Corrosion in RC Structures,” Construction and Building Materials, V. 51, Jan. 2014, pp. 75-81. doi: 10.1016/j.conbuildmat.2013.10.042

38. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-19) and Commentary (ACI 318R-19),” American Concrete Institute, Farmington Hills, MI, 2019, 624 pp.

39. Sagawa, T., “Second Law, Entropy Production, and Reversibility in Thermodynamics of Information,” Energy Limits in Computation: A Review of Landauer’s Principle, Theory and Experiments, C. S. Lent, A. O. Orlov, W. Porod, and G. L. Snider, eds., 2019, pp. 101-139.

40. Dehmer, M., and Mowshowitz, A., “A History of Graph Entropy Measures,” Information Sciences, V. 181, No. 1, Jan. 2011, pp. 57-78. doi: 10.1016/j.ins.2010.08.041

41. Shannon, C. E., “A Mathematical Theory of Communication,” The Bell System Technical Journal, V. 27, No. 3, July 1948, pp. 379-423. doi: 10.1002/j.1538-7305.1948.tb01338.x

42. Hartley, R. V. L., “Transmission of Information,” The Bell System Technical Journal, V. 7, No. 3, 1928, pp. 535-563. doi: 10.1002/j.1538-7305.1928.tb01236.x

43. Maage, M.; Helland, S.; Poulsen, E.; Vennesland, Ø.; and Carlsen, J. E., “Service Life Prediction of Existing Concrete Structures Exposed to Marine Environment,” ACI Materials Journal, V. 93, No. 6, Nov.-Dec. 1996, pp. 1-8.

44. Yu, Z.; Ma, J.; Ye, G.; van Breugel, K.; and Shen, X., “Effect of Fly Ash on the Pore Structure of Cement Paste under a Curing Period of 3 Years,” Construction and Building Materials, V. 144, July 2017, pp. 493-501. doi: 10.1016/j.conbuildmat.2017.03.182

45. Bertolini, L.; Carsana, M.; and Pedeferri, P., “Corrosion Behaviour of Steel in Concrete in the Presence of Stray Current,” Corrosion Science, V. 49, No. 3, Mar. 2007, pp. 1056-1068. doi: 10.1016/j.corsci.2006.05.048

46. Bastidas-Arteaga, E.; Bressolette, P.; Chateauneuf, A.; and Sánchez-Silva, M., “Probabilistic Lifetime Assessment of RC Structures under Coupled Corrosion–Fatigue Deterioration Processes,” Structural Safety, V. 31, No. 1, Jan. 2009, pp. 84-96. doi: 10.1016/j.strusafe.2008.04.001

47. Yuan, Y.; Jiang, J.; and Peng, T., “Corrosion Process of Steel Bar in Concrete in Full Lifetime,” ACI Materials Journal, V. 107, No. 6, Nov.-Dec. 2010, pp. 562-567.

48. Neville, A. M., Properties of Concrete, fourth edition, Prentice Hall, Essex, UK, 1995, 844 pp.

49. Vidal, T.; Castel, A.; and François, R., “Analyzing Crack Width to Predict Corrosion in Reinforced Concrete,” Cement and Concrete Research, V. 34, No. 1, Jan. 2004, pp. 165-174. doi: 10.1016/S0008-8846(03)00246-1

50. Vidal, T.; Castel, A.; and François, R., “Corrosion Process and Structural Performance of a 17 Year Old Reinforced Concrete Beam Stored in Chloride Environment,” Cement and Concrete Research, V. 37, No. 11, Nov. 2007, pp. 1551-1561. doi: 10.1016/j.cemconres.2007.08.004

51. Bowman, M. D., and Moran, L. M., “Bridge Preservation Treatments and Best Practices,” Joint Transportation Research Program Publication No. FHWA/IN/JTRP-2015/22, Purdue University, West Lafayette, IN, 2015, 105 pp.


ALSO AVAILABLE IN:

Electronic Structural Journal



  

Edit Module Settings to define Page Content Reviewer