Seismic damage estimation of reinforced concrete framed structures affected by chloride-induced corrosion

  • Anoop, M.B. (CSIR-Structural Engineering Research Centre, CSIR Campus) ;
  • Rao, K. Balaji (CSIR-Structural Engineering Research Centre, CSIR Campus)
  • Received : 2014.04.02
  • Accepted : 2015.03.24
  • Published : 2015.10.25


A methodology for estimation of statistical properties (viz. mean and standard deviation) of the expected seismic damage to reinforced concrete framed structures subject to corrosion of reinforcement, over a specified reference time (typically the service life of the structure) is proposed in this paper. The damage to the structure under the earthquake loading is characterised by the damage index, determined using the modified Park and Ang damage model. The reduction in area, yield strength and strain at ultimate of steel reinforcement, and the reduction in compressive strength of cover concrete due to corrosion are taken into account in the estimation of damage. The proposed methodology is illustrated through an example problem. From the results obtained, it is noted that there is an increase of about 70% in the mean value of expected seismic damage to the reinforced concrete frame considered over a reference time of 30 years when effect of corrosion is taken into consideration. This indicates that there is a need to consider the effect of corrosion of reinforcement on the estimation of expected seismic damage.


  1. Akiyama, M. And Frangopol, D.M. (2014), "Long-term seismic performance of RC structures in an aggressive environment: emphasis on bridge piers", Struct. Infrastruct. Eng., 10(7), 865-879.
  2. Akiyama, M., Frangopol, D.M. and Matsuzaki, H. (2011), "Life-cycle reliability of RC bridge piers under seismic and airborne chloride hazards", Earthq. Eng. Struct. Dyn., 40(15), 1671-1687.
  3. Ang, A.H.S. and Tang, W.H. (1975), Probability Concepts in Engineering Planning and Design. Vol. 1: Basic Principles, John Wiley & Sons, New York.
  4. Anoop, M.B., Balaji Rao, K and Appa Rao, T.V.S.R. (1999), Durability of Concretes with respect to Chloride Ingress - a Critical Review, Project Report No. SS-OLP07741-RR-99-2, CSIR-Structural Engineering Research Centre, Chennai.
  5. Anoop, M.B., Balaji Rao, K. and Appa Rao, T.V.S.R. (2003), "A methodology for durability-based service life design of reinforced concrete flexural members", Magaz. Concrete Res., 55(3), 289-303.
  6. Balaji Rao, K., Anoop, M.B. and Appa Rao, T.V.S.R. (2000), A Critical Review of Corrosion Propagation Models and Results of Probabilistic Analysis of Resistance Degradation of Reinforced Concrete Flexural Members due to Corrosion, Project Report No. SS-OLP 07741-RR-2000-1, CSIR-Structural Engineering Research Centre, Chennai.
  7. Balaji Rao, K., Lakshmanan, N., Anoop, M. B., Gopalakrishnan, S. And Manjuprasad, M. (2003), A Stochastic Model for Regional Seismic Risk Assessment, SERC Project Report No. SS-OLP09441-RR-2003-2, CSIR-Structural Engineering Research Centre, Chennai.
  8. Balaji Rao, K., Gopalakrishnan, S., Anoop, M.B., Manjuprasad, M. and Lakshmanan, N. (2004). "Regional seismic risk analysis of Peninsular India and structural seismic risk analysis". 2nd Indo-German Workshop on Seismic safety of Structures, Risk Assessment and Disaster Mitigation, IIT Madras, India.
  9. Balaji Rao, K., Lakshmanan, N., Anoop, M.B., Gopalakrishnan, S. and Manjuprasad, M. (2005), "A stochastic model for regional seismic risk assessment", International Conference on Advances in Concrete Composites and Structures (ICACS -2005), CSIR- Structural Engineering Research Centre, Chennai.
  10. Baweja, D., Roper, H. and Sirivivatnanon, V. (1998), "Chloride-induced steel corrosion in concrete: Part 1 - Corrosion rates, corrosion activity, and attack areas", ACI Mater. J., 95(3), 207-217.
  11. Biondini, F., Camnasio, E. and Palermo, A. (2014), "Lifetime seismic performance of concrete bridges exposed to corrosion", Struct. Infrastruct. Eng., 10(7), 880-900.
  12. Biondini, F., Palermo, A. and Toniolo, G. (2011), "Seismic performance of concrete structures exposed to corrosion: case studies of low-rise precast buildings", Struct. Infrastruct. Eng., 7(1-2), 109-119.
  13. BIS (2000), Indian Standard Code of Practice for Plain and Reinforced Concrete: IS 456-2000, Bureau of Indian Standards, New Delhi.
  14. Chiu, C.K., Tu, F.J. and Hsiao, F.P. (2015), "Lifetime seismic performance assessment for chloride-corroded reinforced concrete buildings", Struct. Infrastruct. Eng., 11(3), 345-362.
  15. Choe, D.E., Gardoni, P., Rosowsky, D. and Haukaas, T. (2009), "Seismic fragility estimates for reinforced concrete bridges subject to corrosion", Struct. Safety, 31(4), 275-283.
  16. Clark, L.A., Du, Y.G. and Chan, A.H.C. (2000), "Effect of corrosion on ductility of reinforcement", Bridge Management 4: Proceedings of International Conference of Bridges Management and Maintenance, edited by M.J. Ryall, J.E. Harding, G.A.R. Parke, Thomas Telford.
  17. Coronelli, D. and Gambarova, P. (2004), "Structural assessment of corroded reinforced concrete beams: modeling guidelines", J. Struct. Eng., ASCE, 130(8), 1214-1224.
  18. Crank, J. (1975), Mathematics of Diffusion, Oxford University Press.
  19. Deodatis, G. and Shinozuka, M. (1988), "Auto-regressive model for nonstationary stochastic processes", J. Eng. Mech., ASCE, 114(11), 1995-2012.
  20. Di Maio, A.A., Lima, L.J. and Traversa, L.P. (2004), "Chloride profiles and diffusion coefficients in structures located in marine environments", Struct. Concrete J. fib, 5(1), 1-4.
  21. Dong, Y., Frangopol, D.M. and Saydam, D. (2013), "Time-variant sustainability assessment of seismically vulnerable bridges subjected to multiple hazards", Earthq. Eng. Struct. Dyn., 42(10), 1451-1467.
  22. Douglas, J. and Aochi, H. (2014), "Using estimated risk to develop stimulation strategies for enhanced geothermal systems", Pure Appl. Geophys., 171(8), 1847-1858.
  23. fib (2000), Bond of Reinforcement in Concrete, fib Bulletin 10, Federation International Du Beton (FIB), Lausanne.
  24. fib (2006). Model Code for Service Life Design. Fib Bulletine 34, International Federation for Structural Concrete, Lausanne.
  25. Fotopoulou, S.D., Karapetrou, S.T. and Pitilakis, K.D. (2012), "Seismic vulnerability of RC buildings considering SSI and aging effects", 15th World Conference on Earthquake Engineering, Lisbon, Portugal.
  26. Franks, C.A.M., Beetham, R.D. and Salt, G.A. (1989), "Ground damage and seismic response resulting from the 1987 Edgecumbe earthquake, New Zealand", NZ. J. Geol. Geophys., 32(1), 135-144.
  27. Ghosh, J. and Padgett, J.E. (2012), "Impact of multiple component deterioration and exposure conditions on seismic vulnerability of concrete bridges", Earthq. Struct., 3(5), 649-673.
  28. Karapetrou, S.T., Filippa, A.M., Fotopoulou, S.D. and Pitilakis, K.D. (2013), "Time-dependent vulnerability assessment of RC buildings considering SSI and aging effects", M. Papadrakakis, V. Papadopoulos, V. Plevris (eds.): COMPDYN 2013 - 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos Island, Greece.
  29. Kropp, J. and Hilsdorf, H.K. (1995), Criteria for Concrete Durability. E&FN Spon, London.
  30. Kumar, R., Gardoni, P. and Sanchez-Silva, M. (2009), "Effect of cumulative seismic damage and corrosion on the life-cycle cost of reinforced concrete bridges", Earthq. Eng. Struct. Dyn., 38(7), 887-905.
  31. Lindvall, A. (1999). Environmental Actions and Response - Survey, Inspection and Measurement, Working Report , The European Community Brite EuRam Project BE95-1347, Task 7 report.
  32. Lindvall, A. (2001), Environmental Actions and Response: Reinforced Concrete Structures exposed in Wind and Marine Environments, Thesis for Degree of Licentiate of Engineering, Department of Building Materials, Chalmers University of Technology, Goteborg.
  33. Moodi, F., Ramezanianpour, A. and Jahangiri, E. (2014), "Assessment of some parameters of corrosion initiation prediction of reinforced concrete in marine environments", Comput. Concrete, 13(1), 71-82.
  34. Park, Y.J., Ang, A.H.S. and Wen, Y.K. (1985), "Seismic damage analysis of reinforced concrete buildings", J. Struct. Eng., ASCE, 111(4), 740-757.
  35. Raupach, M. (2006), "Models for the propagation phase of reinforcement corrosion - an overview", Mater. Corr., 57(8), 605-613.
  36. Razak, H.A. and Choi, F.C. (2001), "The effect of corrosion on the natural frequency and modal damping of reinforced concrete beams", Eng. Struct., 23(9), 1126-1133.
  37. Rodriguez J., Ortega L.M., Casal J. and Diez J.M. (1996), "Assessing structural conditions of concrete structures with corroded reinforcement", in R.K. Dhir and M.R. Jones Eds. Concrete Repair, Rehabilitation and Protection, E&FN Spon, London.
  38. Schiessl, P and Raupach, M. (1997), "Laboratory studies and calculations on the influence of crack width on chloride-induced corrosion of steel in concrete", ACI Mater. J., 94(1), 56-62.
  39. Sheth, A., Sanyal, S., Jaiswal, A. and Gandhi, P. (2006), "Effects of the december 2004 Indian Ocean Tsunami on the Indian Mainland", Earthq. Spectra, 22(S3), S435-S473.
  40. Simon, J., Bracci, J.M. and Gardoni, P. (2010), "Seismic response and fragility of deteriorated reinforced concrete bridges", J. Struct. Eng., ASCE, 136(10), 1273-1281.
  41. Skjaerbaek, P.S., Nielsen, S.R.K., Kirkegaard, P.H. and Cakmak, A.S. (1998), "Damage localization and quantification of earthquake excited RC-frames", Earthq. Eng. Struct. Dyn., 27(9), 903-916.<903::AID-EQE757>3.0.CO;2-C
  42. Tuutti, K. (1982). Corrosion of Reinforcement in Concrete, Swedish Cement and Concrete Research Institute, Stockholm.
  43. Valles, R.E., Reinhorn, A.M., Kunnath, S.K., Li, C. and Madan, A. (1996), IDARC 2D Version 4.0: A program for the inelastic damage analysis of buildings, Technical Report NCEER-96-0010, National Center for Earthquake Engineering Research, State University of New York at Buffalo.
  44. Vidal, T., Castel, A. and Francois, R. (2004), "Analyzing crack width to predict corrosion in reinforced concrete", Cement Concrete Res., 34(1), 165-174.
  45. Vorechovska, D., Chroma, M., Podrouzek, J., Rovnanikova, P. and Teply, B. (2009), "Modelling of chloride concentration effect on reinforcement corrosion", Comput. Aid. Civ. Infrastruct. Eng., 24(6), 446-458.
  46. Wheat, H.G., Jirsa, J.O. and Fowler, D.W. (2005), "Monitoring corrosion protection provided by fibre reinforced composites", Int. J. Mater. Product Technol., 23(3), 372-388.
  47. Yalciner, H., Sensoy, S. and Eren, O. (2012). "Time-dependent seismic performance assessment of a singledegree-of freedom frame subject to corrosion", Eng. Fail. Anal., 19, 109-122.
  48. Yuksel, I. and Coskan, S. (2013), "Earthquake response of reinforced concrete frame structures subjected to rebar corrosion", Earthq. Struct., 5(3), 321-341.
  49. Zhu, W. and Francois, R. (2013), "Effect of corrosion pattern on the ductility of tensile reinforcement extracted from a 26-year-old corroded beam", Adv. Concrete Constr., 1(2), 121-136.

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