Abstract
Reinforced Concrete (RC) structures located near sea undergo primary durability issue of corrosion of reinforcing steel bars which decreases the load carrying capacity of the structural members. Thus, these structures eventually bear lesser seismic loads and their safety margins are reduced. It is, therefore, essential to study the effect of actual earthquake loads on the corroded structures. In the present work, numerical simulation of uncorroded, 7.5% corroded and 10% corroded RC frames subjected to earthquake loads and its validation with full scale shake table test data is demonstrated. The frames were corroded using induced accelerated corrosion technique. Subsequently, the frames were subjected to increasing shake table excitation and tested till failure. The effect of bond strength reduction, reduction in rebar diameter and decrease in mechanical properties of corroded steel was considered in the numerical model and non-linear time history analysis is carried out using pivot hysteretic model considering strength and stiffness degradation due to corrosion. The in-structure response spectra obtained numerically were in good agreement with those obtained experimentally. It was observed that there is reduction in lateral load carrying capacity by 8.8% and 14.15% along with reduction in ductility by 13.5% and 21.2% for 7.5% and 10% corroded frames respectively with respect to pristine frames.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig3_HTML.jpg)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig4_HTML.jpg)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig6_HTML.jpg)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig7_HTML.jpg)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig8_HTML.jpg)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig9_HTML.jpg)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig10_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig11_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig12_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig13_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig14_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig15_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig16_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig17_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig18_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig19_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig20_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig21_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig22_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig23_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10518-023-01754-3/MediaObjects/10518_2023_1754_Fig24_HTML.png)
Similar content being viewed by others
References
Almusallam AA, Al-Gahtani AS, Aziz AR (1996) Effect of reinforcement corrosion on bond strength. Constr Build Mater 10(2):123–129
Apostolopoulos CA, Koulouris KF, Apostolopoulos AC (2019) Correlation of surface cracks of concrete due to corrosion and bond strength (between steel bar and concrete). Adv Civ Eng 2019:3438743. https://doi.org/10.1155/2019/3438743
Auyeung Y, Balaguru P, Chung L (2000) Bond behavior of corroded reinforcement bars. Mater J 97(2):214–220
Balim Y, Reid JC (2003) Reinforcement corrosion and the deflection of RC beams. Cem Concr Compos 25:625–632
Bartolozzi M, Casas J, Domaneschi M (2021) Bond deterioration effects on corroded RC bridge pier in seismic zone. Struct Concr. https://doi.org/10.1002/suco.202000681
BIS (Bureau of Indian Standards) (2000) Plain and Reinforced Concrete Code of Practice, IS 456. New Delhi: BIS
BIS (Bureau of Indian Standards) (2016) Criteria for earthquake resistant design of structures, Part 1—General provisions and buildings. IS 1893. New Delhi: BIS
BIS (Bureau of Indian Standards) (1993) Ductile detailing of reinforced Concrete structures subjected to seismic forces. IS 13920. New Delhi
Blomfors M, Zandi K, Lundgren K, Coronelli D (2018) Engineering bond model for corroded reinforcement. Eng Struct 156:394–410
Castel A, Franfois R, Arliguie G (2000) Mechanical behavior of corroded reinforced concrete beams—part 1: experimental study of corroded beams. Mater Struct 33:539–544
CEB/FIP (Euro International Committee Concrete/International Federation for Pre-stressing). 2012. CEB-FIP model code 2010 volume 1. Lausanne, Switzerland: FIB
Charney FA (2008) Unintended consequences of modeling damping in structures. J Struct Eng 134(4):581
Clough RW, Penzien J (1975) Dynamics of structures. McGraw-Hill, New York
Dowell OK, Seible F, Wilson EL (1998) Pivot hysteresis model for reinforced concrete members. ACI Struct J 95:607–617
Fernandez I, Bairán JM, Marí AR (2015) Corrosion effects on the mechanical properties of reinforcing steel bars. Fatigue and σ–ε behavior. Constr Build Mater 101:772–783
Ge X, Dietz MS, Alexander NA (2020) “Nonlinear dynamic behaviour of severely corroded reinforced concrete columns: shaking table study. Bull Earthquake Eng 18:1417–1443. https://doi.org/10.1007/s10518-019-00749-3
Han-Seung L, Young-Sang C (2009) Evaluation of the mechanical properties of steel reinforcement embedded in concrete specimen as a function of the degree of reinforcement corrosion. Int J Fract 157(1–2):81–88
Kent DC, Park R (1971) Flexural Mechanics with confined concrete. J Struct Div 97:1969–1990
Kothari P, Parulekar YM, Reddy GR, Gopalakrishnan N (2017) In-structure response spectra considering nonlinearity of RCC structures: experiments and analysis. Nucl Eng Des 322(2017):379–396
Lejouad C, Richard B, Mongabure P, Capdevielle S, Ragueneau F (2022) Assessment of the seismic behavior of reinforced concrete elements affected by corrosion: an objective comparison between quasi-static and dynamic tests. Structures 39:653–666. https://doi.org/10.1016/j.istruc.2022.03.058
Li J, Gong J, Wang L (2009) Seismic behavior of corrosion-damaged reinforced concrete columns strengthen using combined carbon fiber-reinforced polymer and steel jacket. J Constr Build Mater 23:2653–2663
Lin W-T (2015) Shaking table test for a scale-down reinforced concrete structure considering corrosive deterioration. J Vibr Eng 17:137–145
Liu X, Jiang H, He L (2017) Experimental investigation on seismic performance of corroded reinforced concrete moment-resisting frames. Eng Struct 153(2017):639–652
Ma Y, Che Y, Gong J (2012) Behaviour of corrosion damaged circular reinforced concrete columns under cyclic loading. Constr Build Mater 29:548–556
Mattock AH (1967) Discussion of “Rotational capacity of reinforced concrete beams.” J Struct Div 93(2):519–522
Nagender T, Parulekar YM, Selvam P, Chattopadhyay J (2022) Experimental study and numerical simulation of seismic behaviour of corroded reinforced concrete frames. Structures 35:1256–1269. https://doi.org/10.1016/j.istruc.2021.09.013
Park R, Paulay T (1975) Reinforced concrete structures. Wiley, New York
Parulekar YM, Reddy GR, Vaze KK (2006) Passive control of seismic response of piping systems. J Pressure Vessal Technol 128:364–369. https://doi.org/10.1115/1.2217969
Parulekar YM, Dutta D, Thodetti N, Bhargava K (2020) Performance assessment of corroded reinforced concrete structure considering bond deterioration. J Perform Constr Facil 34:04020009
Sezen H, Setzler EJ (2008) Reinforcement slip in reinforced concrete columns. ACI Struct J 105(3):280
Smyrou E, Priestley MN, Carr AJ (2011) Modelling of elastic damping in nonlinear time-history analyses of cantilever RC walls. Bull Earthq Eng 9:1559–1578. https://doi.org/10.1007/s10518-011-9286-y
Sucuoǧlu H, Erberik A (2004) Energy-based hysteresis and damage models for deteriorating systems. Earthq Eng Struct Dyn 33(1):69–88. https://doi.org/10.1002/eqe.338
Tamer A, Maaddawy E, Soudki KA (2003) Effectiveness of impressed current technique to simulate corrosion of steel reinforcement in concrete. J Mater Civil Eng 15(1):41–47
Torres-Acosta AA, Navarro-Gutierrez S, Teran-Guillen J (2007) Residual flexure capacity of corroded reinforced concrete beams. Eng Struct 29(6):1145–1152
Yalciner H, Sensoy S, Eren O (2012) Effect of corrosion damage on the performance level of a 25-year-old reinforced concrete building. Shock Vib 19(5):891–902. https://doi.org/10.1155/2012/861509
Yang J, Guo T, Chai S (2020) “Experimental and numerical investigation on seismic behaviours of beam-column joints of precast pre-stressed concrete frame under given corrosion levels. Structures 27:1209–1221. https://doi.org/10.1016/j.istruc.2020.07.007
Yuan W, Guo A, Yuan W, Li H (2018) Shaking table tests of coastal bridge piers with different levels of corrosion damage caused by chloride penetration. Constr Build Mater 173:160–171. https://doi.org/10.1016/j.conbuildmat.2018.04.048
Zhao G, Zhang M, Li Y, Li D (2016) The hysteresis performance and restoring force model for corroded reinforced concrete frame columns. J Eng. https://doi.org/10.1155/2016/7615385
Zhao J, Lin Y, Li X, Meng Q (2021) Experimental study on the cyclic behavior of reinforced concrete bridge piers with non-uniform corrosion. Structures 33:999–1006. https://doi.org/10.1016/j.istruc.2021.04.060
Zou DJ, Liu TJ, Qiao GF (2014) Experimental investigation on the dynamic properties of RC structures affected by the reinforcement corrosion. Adv Struct Eng 17(6):851–860. https://doi.org/10.1260/1369-4332.17.6.851)
Funding
The research received no specific grant from any funding Agency.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing Interests
The authors declare that they have no conflict of interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Nagender, T., Parulekar, Y.M., Shinde, P. et al. Degradation assessment of corroded RC frames using in-structure response spectra from shake table tests and numerical simulation. Bull Earthquake Eng 21, 5683–5715 (2023). https://doi.org/10.1007/s10518-023-01754-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-023-01754-3