Reliability-based service life assessment of corroded reinforced concrete bridge piers under seismic loading

Pooria Poorahad , Mahmoud R. Shiravand

Advances in Bridge Engineering ›› 2026, Vol. 7 ›› Issue (1) : 17

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Advances in Bridge Engineering ›› 2026, Vol. 7 ›› Issue (1) :17 DOI: 10.1186/s43251-025-00198-w
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Reliability-based service life assessment of corroded reinforced concrete bridge piers under seismic loading
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Abstract

This paper establishes a novel time-dependent structural reliability analysis framework for assessing corroded reinforced concrete (RC) piers, bridging the gap between probabilistic performance-based earthquake engineering and practical infrastructure management. The primary contribution is a holistic reliability model that uses the reliability index (

β
) to evaluate competing failure criteria of excessive maximum drift (seismic performance) and residual drift (post-earthquake functionality). Through Monte Carlo simulations integrated with a validated nonlinear finite element model, the study quantifies seismic performance evolution over a 75-year lifespan under two seismic hazard levels. Key findings reveal a critical transition where residual drift supplants maximum drift as the governing failure criterion as corrosion progresses. Crucially, this work introduces a new prognostic framework that defines lost service life (LSL) due to corrosion and recovered service life (RSL) after maintenance actions, linked by an effectiveness coefficient. This framework translates reliability metrics into actionable RSL charts that quantify the life-cycle extension benefits of corrective maintenance. The results provide engineers with a powerful tool to shift from time-based to condition-based management, enabling data-driven decisions on repair strategies and lifecycle planning.

Keywords

Time-dependent seismic reliability analysis / Corroded RC piers / Reliability index / Service life

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Pooria Poorahad, Mahmoud R. Shiravand. Reliability-based service life assessment of corroded reinforced concrete bridge piers under seismic loading. Advances in Bridge Engineering, 2026, 7(1): 17 DOI:10.1186/s43251-025-00198-w

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References

[1]

AASHTOAAoSHaT. AASHTO LRFD bridge design specifications. 2024, Washington DC, USA, American Association of State Highway and Transportation Officials

[2]

Amirchoupani P, Abdollahzadeh G, Hamidi H. Development of inelastic displacement ratio using constant energy-based damage index for performance-based design. Bull Earthquake Eng. 2023, 21: 3461-3491.

[3]

Amirchoupani P, Farahani RN, Abdollahzadeh G. The development of damage-based energy factor under far-fault ground motions for the seismic demand evaluation of structural systems in energy-balance theorem. Soil Dyn Earthq Eng. 2025, 190: 109200.

[4]

Anzabi PP, Shiravand M. Seismic reliability analysis of self-centering post-tensioned piers under influence of prestress loss. Eng Struct. 2024, 314118315.

[5]

Ashouri R, Shiravand MR. Damage assessment of self-centering rocking piers using an input energy-based damage prediction model coupled with self-centering index. Struct Concr. 2024, 253549-3569.

[6]

Attarchian N, Kalantari A, Moghadam AS. Developing a new procedure for evaluating the ductility capacity of rectangular RC piers subjected to biaxial flexural loadings. Eng Struct. 2018, 172: 187-200.

[7]

Azizinamini A, Power EH, Myers GF, Ozyildirim HC (2014) Bridges for service life beyond 100 years: Innovative systems, subsystems, and components National Academies of Sciences, Engineering, and Medicine. Washington, DC: The National Academies Press.

[8]

Bartolozzi M, Casas JR, Domaneschi M. Bond deterioration effects on corroded RC bridge pier in seismic zone. Struct Concr. 2022, 23: 51-66.

[9]

Biondini F, Camnasio E, Palermo A. Lifetime seismic performance of concrete bridges exposed to corrosion. Struct Infrastruct Eng. 2014, 10: 880-900.

[10]

Bukaçi E, Korini T, Periku E, Allkja S, Sheperi P. Number of iterations needed in Monte Carlo simulation using reliability analysis for tunnel supports. Int J Eng Res Appl. 2016, 6: 60-64

[11]

Cairns J, Plizzari GA, Du Y, Law DW, Franzoni C (2005) Mechanical properties of corrosion-damaged reinforcement. ACI Mater J 102

[12]

Cardoso JB, de Almeida JR, Dias JM, Coelho PG. Structural reliability analysis using Monte Carlo simulation and neural networks. Adv Eng Softw. 2008, 39: 505-513.

[13]

Castel A, Khan I, François R, Gilbert RI (2016) Modeling Steel Concrete Bond Strength Reduction Due to Corrosion. ACI Struct J, Vol 113, Issue 5, p973.

[14]

Chang G, Mander JB (1994) Seismic energy based fatigue damage analysis of bridge columns: Part I-Evaluation of seismic capacity: National Center for Earthquake Engineering Research Buffalo, New York.

[15]

Chen H-P, Jiang Y, Xiao L, Liu J. Lifetime reliability analysis of concrete columns damaged by reinforcement corrosion. Front Mater. 2022, 9: 926259.

[16]

Choe D-E, Gardoni P, Rosowsky D, Haukaas T. Probabilistic capacity models and seismic fragility estimates for RC columns subject to corrosion. Reliab Eng Syst Saf. 2008, 93383-393.

[17]

Coronelli D, Gambarova P. Structural assessment of corroded reinforced concrete beams: modeling guidelines. J Struct Eng. 2004, 130: 1214-1224.

[18]

Council AT. Quantification of building seismic performance factors. 2009, Washington, DC, US Department of Homeland Security, FEMA

[19]

Crespi P, Zucca M, Valente M, Longarini N. Influence of corrosion effects on the seismic capacity of existing RC bridges. Eng Fail Anal. 2022, 140: 106546.

[20]

Cui F, Zhang H, Ghosn M, Xu Y. Seismic fragility analysis of deteriorating RC bridge substructures subject to marine chloride-induced corrosion. Eng Struct. 2018, 15561-72.

[21]

Darmawan MS. Pitting corrosion model for reinforced concrete structures in a chloride environment. Mag Concr Res. 2010, 62: 91-101.

[22]

Dawood HM, ElGawady M. Performance-based seismic design of unbonded precast post-tensioned concrete filled GFRP tube piers. Compos Part B Eng. 2013, 44: 357-367.

[23]

Di Carlo F, Meda A, Rinaldi Z. Numerical evaluation of the corrosion influence on the cyclic behaviour of RC columns. Eng Struct. 2017, 153: 264-278.

[24]

Du Y, Clark L, Chan A. Residual capacity of corroded reinforcing bars. Mag Concr Res. 2005, 57: 135-147.

[25]

American Society of Civil Engineers (2022) Minimum Design Loads and Associated Criteria for Buildings and Other Structures ASCE/SEI 7-22. American Society of Civil Engineers, Reston, Virginia.

[26]

Enright MP, Frangopol DM. Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion. Eng Struct. 1998, 20: 960-971.

[27]

Ghosh J, Padgett JE. Aging considerations in the development of time-dependent seismic fragility curves. J Struct Eng. 2010, 136: 1497-1511.

[28]

Imperatore S (2016) Influence of the bond-slip relationship on the flexural capacity of RC joints damaged by corrosion. AIP Conf. Proc. 8 June 2016: AIP Publishing LLC; p. 270021

[29]

Imperatore S, Rinaldi Z (2008) Mechanical behaviour of corroded rebars and influence on the structural response of R/C elements. In Proceedings of the 2nd International conference on concrete repair, rehabilitation and retrofitting, Cape Town, South Africa (Vol. 2426)

[30]

Imperatore S, Rinaldi Z, Drago C. Degradation relationships for the mechanical properties of corroded steel rebars. Constr Build Mater. 2017, 148: 219-230.

[31]

Itoh Y, Wada M, Liu C (2006) Lifecycle environmental impact and cost analyses of steel bridge piers with seismic risk. In Proceedings of the 9th international conference on structural safety and reliability, Rome, Italy (Vol. 273).

[32]

Kashani MM, Moodley H, Aminulai HO, Afshan S, Crump D. Experimental investigation of nonlinear cyclic behavior of circular concrete bridge piers with pitting corrosion. J Bridge Eng. 2024, 29: 04024048.

[33]

Khorraminejad A, Shiravand MR, Safi M. Damage analysis of concrete open-spandrel deck arch bridges under seismic loads. J Bridge Eng. 2022, 2704022069.

[34]

Kivell A, Palermo A, Scott A (2012) Corrosion related bond deterioration and seismic resistance of reinforced concrete structures. Structures Congress 2012, Chicago, Illinois. p. 1894–905

[35]

Lee H-S, Cho Y-S. Evaluation of the mechanical properties of steel reinforcement embedded in concrete specimen as a function of the degree of reinforcement corrosion. Int J Fract. 2009, 15781-88.

[36]

Lee H-S, Kage T, Noguchi T, Tomosawa F. An experimental study on the retrofitting effects of reinforced concrete columns damaged by rebar corrosion strengthened with carbon fiber sheets. Cem Concr Res. 2003, 33: 563-570.

[37]

Li H-N, Cheng H, Wang D-S. Time-variant seismic performance of offshore RC bridge columns with uncertainty. Int J Struct Stab Dyn. 2018, 18: 1850149.

[38]

Li Y, Sun Z, Li Y, Yang H, Liu X, He W (2025) A Vision Transformer-based method for predicting seismic damage states of RC piers: Database development and efficient assessment. Reliab Eng Syst Saf 263:111287

[39]

Li Y, Sun Z, Mangalathu S, Li Y, He W, Xue X. Machine learning-based full-life-cycle seismic response assessment for in-service bridge piers: Comprehensive analysis of interpretability and seismic fragility. 2025, Structures, Elsevier110050

[40]

Li Q, Niu D-t, Xiao Q-h, Guan X, Chen S-j. Experimental study on seismic behaviors of concrete columns confined by corroded stirrups and lateral strength prediction. Constr Build Mater. 2018, 162704-713.

[41]

Lupoi G, Franchin P, Lupoi A, Pinto PE. Seismic fragility analysis of structural systems. J Eng Mech. 2006, 132: 385-395

[42]

Matthews B, Palermo A, Scott A (2024) Cyclic shear testing of artificially corroded reinforced concrete short circular piers. Structures, Vol. 63; p. 106275

[43]

McKenna F. OpenSees: a framework for earthquake engineering simulation. Comput Sci Eng. 2011, 13: 58-66.

[44]

Moradifard R, Alibazi A, Shiravand M, Gholami M. Improved performance-based plastic design method for post-tensioned connection systems. Eng Struct. 2022, 255: 113931.

[45]

Naaman AE, Hamza AM. Prestress losses in partially prestressed high strength concrete beams. PCI J. 1993, 3898-114.

[46]

Omidian P, Khaji N, Aghakouchak AA. An integrated decision-making approach to resilience–LCC bridge network retrofitting using a genetic algorithm-based framework. Resilient Cities and Structures. 2025, 4: 16-40.

[47]

Parvanehro P, Shiravand M, Safi M. A method for linear response analysis of long bridges under multi-support seismic excitation. Bull Earthquake Eng. 2022, 20: 8381-8410.

[48]

Poorahad Anzabi P, Shiravand MR. Segments arrangement effect on improvement of self-centering precast post-tensioned segmental piers seismic performance. Struct Concr. 2024, 25: 185-206.

[49]

Poorahad Anzabi P, Shiravand MR, Mahboubi S (2024) Machine Learning-Aided Prediction of Seismic Response of RC Bridge Piers Exposed to Chloride-Induced Corrosion. The International Conference on Net-Zero Civil Infrastructures: Innovations in Materials, Structures, and Management Practices (NTZR), Oslo, Norway: Springer; p. 1409–21

[50]

Rao AS, Lepech MD, Kiremidjian AS, Sun X-Y. Simplified structural deterioration model for reinforced concrete bridge piers under cyclic loading 1. 2018, Life-Cycle of Structural Systems, Routledge5566

[51]

Rasouli M, Shiravand MR, Rasti Ardakani R. Performance-based design method for isolated hollow RC piers with irregularity in height. Struct Concr. 2023, 24(2): 2490-2514.

[52]

Rasouli M, Shiravand MR, Ardakani RR. Substructure mass participation effect on the performance-based seismic design method for isolated bridges. J Bridge Eng. 2023, 28: 04023095.

[53]

Rassoulpour S, Shiravand M, Safi M. Proposed seismic-resistant dual system for continuous-span concrete bridges using self-centering cores. Eng Struct. 2023, 274115181.

[54]

Rassoulpour S, Shiravand MR, Safi M. Effect of soil-structure interaction on seismic behavior of self-centering rocking piers supported on shallow foundations. Soil Dyn Earthq Eng. 2025, 194109339.

[55]

Ross T. An enhanced reliability index for assessing margin of safety in structures. 2020, Reliability and Optimization of Structural Systems, CRC Press291-298

[56]

Vu NS, Li B (2018) Seismic performance of flexural reinforced concrete columns with corroded reinforcement

[57]

Shiravand M, Torabipour A, Mahboubi S. Parametric study on effect of adding stiffener to post-tensioned steel connection. Int J Steel Struct. 2019, 19: 478-494.

[58]

Shiravand M, Nashtaee M, Veismoradi S. Seismic assessment of concrete buildings reinforced with shape memory alloy materials in different stories. Struct des Tall Spec Build. 2017, 26: e1384.

[59]

Stewart MG, Rosowsky DV. Time-dependent reliability of deteriorating reinforced concrete bridge decks. Struct Saf. 1998, 2091-109.

[60]

Stewart MG, Al-Harthy A. Pitting corrosion and structural reliability of corroding RC structures: experimental data and probabilistic analysis. Reliab Eng Syst Saf. 2008, 93: 373-382.

[61]

Su J, Wang J, Bai Z, Wang W, Zhao D. Influence of reinforcement buckling on the seismic performance of reinforced concrete columns. Eng Struct. 2015, 103: 174-188.

[62]

Taheri A, Tasnimi AA, Moghadam AS (2020) Experimental investigation on the seismic behavior and damage states of reinforced high strength concrete columns. Structures: Elsevier; Vol. 7, p. 163-73

[63]

Thoft-Christensen P (2012) Corrosion and cracking of reinforced concrete. Life-cycle performance of deteriorating structures: Assessment, design and management: Reston, VA; 26–36

[64]

Tichý M. On the reliability measure. Struct Saf. 1988, 5: 227-232.

[65]

Val DV. Deterioration of strength of RC beams due to corrosion and its influence on beam reliability. J Struct Eng. 2007, 133: 1297-1306.

[66]

Vu KAT, Stewart MG. Structural reliability of concrete bridges including improved chloride-induced corrosion models. Struct Saf. 2000, 22: 313-333.

[67]

Vu NS, Li B. Seismic performance assessment of corroded reinforced concrete short columns. J Struct Eng. 2018, 144404018018.

[68]

Wang X, Demartino C, Monti G, Quaranta G, Fiore A. Machine learning-based seismic fragility curves for RC bridge piers. Procedia Struct Integrity. 2023, 44: 1736-1743.

[69]

Weyers RE, Fitch MG, Larsen EP, Al-Qadi IL, Chamberlin W, Hoffman P (1994) Concrete bridge protection and rehabilitation: Chemical and physical techniques. Service life estimates. National Academy of Sciences, Washington, DC United States.

[70]

Whiting D, Nagi M (1993) Condition of prestressed concrete bridge components: technology review and field surveys. Federal Highway Administration. McLean, VA. : U.S.

[71]

Xu B, Wang X, Yang C-SW, Li Y. Machine learning–aided rapid estimation of multilevel capacity of flexure-identified circular concrete bridge columns with corroded reinforcement. J Struct Eng. 2024, 150: 04024002.

[72]

Xu J-G, Feng D-C, Wu G, Cotsovos DM, Lu Y. Analytical modeling of corroded RC columns considering flexure-shear interaction for seismic performance assessment. Bull Earthquake Eng. 2020, 182165-2190.

[73]

Yuan W, Li X, Pang X, Tian C, Li Z, Zhou Pet al. . Cyclic behavior of rectangular bridge piers subjected to the coupling effects of chloride corrosion and bidirectional loading. Buildings. 2023, 13: 425.

[74]

Zentner I, Gündel M, Bonfils N. Fragility analysis methods: review of existing approaches and application. Nucl Eng des. 2017, 323245-258.

[75]

Zhang X. Galvanic Corrosion Uhlig's Corrosion Handbook. 2011, 51: 123.

[76]

Zhang W, Liu Y, Yu Q-Q. Time-dependent seismic fragility analysis of reinforced concrete columns subjected to chloride-induced corrosion. Eng Struct. 2024, 302117448.

[77]

Zhang M, Song H, Lim S, Akiyama M, Frangopol DM. Reliability estimation of corroded RC structures based on spatial variability using experimental evidence, probabilistic analysis and finite element method. Eng Struct. 2019, 19230-52.

[78]

Zhou H, Xu Y, Peng Y, Liang X, Li D, Xing F. Partially corroded reinforced concrete piers under axial compression and cyclic loading: an experimental study. Eng Struct. 2020, 203109880.

[79]

Poorahad A. Pooria, Shiravand Mahmoud R.. Data-driven multi-criteria framework for the seismic and post-earthquake performance assessment of corroded RC bridge piers. Structures. 2025, 82110535.

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