Skip to main content
Log in

Reliability-based life-cycle cost seismic design optimization of coastal bridge piers with nonuniform corrosion using different materials

  • Technical Papers
  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

Reinforcement corrosion is the main cause of performance deterioration of reinforced concrete (RC) structures. Limited research has been performed to investigate the life-cycle cost (LCC) of coastal bridge piers with nonuniform corrosion using different materials. In this study, a reliability-based design optimization (RBDO) procedure is improved for the design of coastal bridge piers using six groups of commonly used materials, i.e., normal performance concrete (NPC) with black steel (BS) rebar, high strength steel (HSS) rebar, epoxy coated (EC) rebar, and stainless steel (SS) rebar (named NPC-BS, NPC-HSS, NPC-EC, and NPC-SS, respectively), NPC with BS with silane soakage on the pier surface (named NPC-Silane), and high-performance concrete (HPC) with BS rebar (named HPC-BS). First, the RBDO procedure is improved for the design optimization of coastal bridge piers, and a bridge is selected to illustrate the procedure. Then, reliability analysis of the pier designed with each group of materials is carried out to obtain the time-dependent reliability in terms of the ultimate and serviceability performances. Next, the repair time of the pier is predicted based on the time-dependent reliability indices. Finally, the time-dependent LCCs for the pier are obtained for the selection of the optimal design.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Afshari SS, Enayatollahi F, Xu X and Liang X (2022), “Machine Learning-Based Methods in Structural Reliability Analysis: A Review,” Reliability Engineering and System Safety, 219: 108223.

    Article  Google Scholar 

  • Alipour A, Shafei B and Shinozuka MS (2013), “Capacity Loss Evaluation of Reinforced Concrete Bridges Located in Extreme Chloride-Laden Environments,” Structure and Infrastructure Engineering, 9(1): 8–27.

    Google Scholar 

  • Apostolopoulos CA, Demis S and Papadakis VG (2013), “Chloride-Induced Corrosion of Steel Reinforcement-Mechanical Performance and Pit Depth Analysis,” Construction and Building Materials, 38: 139–146.

    Article  Google Scholar 

  • Cheng J, Li QS and Xiao RC (2008), “A New Artificial Neural Network-Based Response Surface Method for Structural Reliability Analysis,” Probabilistic Engineering Mechanics, 23(1): 51–63.

    Article  Google Scholar 

  • Chopra AK, Goel RK and Chintanapakdee C (2004), “Evaluation of a Modified MPA Procedure Assuming Higher Modes as Elastic to Estimate Seismic Demands,” Earthquake Spectra, 20(3): 757–778.

    Article  Google Scholar 

  • Coronelli D, Hanjari KZ and Lundgren K (2012), “Severely Corroded RC with Cover Cracking,” Journal of Structural Engineering, 139(2): 221–232.

    Article  Google Scholar 

  • Daigle L and Lounis Z (2006), “Life Cycle Cost Analysis of High Performance Concrete Bridges Considering Their Environmental Impacts,” Report No. NRCC-48696, Institute for Research in Construction, National Research Council Canada.

  • De Sortis A, Nuti C and Petrangeli M (1998), “Seismic Response by Pseudodynamic Tests of RC Bridges Designed to Eurocode 8 and Italian Seismic Code,” 11th European Conference on Earthquake Engineering. Balkema, Rotterdam, Netherlands, pp.1–16.

    Google Scholar 

  • Deng W, Zhao HM, Zou L, Li GY, Yang XH and Wu DQ (2017), “A Novel Collaborative Optimization Algorithm in Solving Complex Optimization Problems,” Soft Computing, 21(15): 4387–4398.

    Article  Google Scholar 

  • Du YG, Clark LA and Chan AHC (2005), “Residual Capacity of Corroded Reinforcing Bars,” Magazine of Concrete Research, 57(3): 135–147.

    Article  Google Scholar 

  • Fédération Internationale Du Béton (FIB) (2012), Model Code 2010: Final Draft, International Federation for Structural Concrete, Switzerland.

    Google Scholar 

  • Frangopol DM, Lin KY and Estes AC (1997), “Life-Cycle Cost Design of Deteriorating Structures,” Journal of Structural Engineering, 123(10): 1390–1401.

    Article  Google Scholar 

  • GB/T 50283-1999 (1999), Unified Standard for Reliability Design of Highway Engineering Structures, Ministry of Transport of the People’s Republic of China, Beijing, China. (in Chinese)

    Google Scholar 

  • Ghasemi SH and Nowak AS (2017), “Reliability Index for Non-Normal Distributions of Limit State Functions,” Structural Engineering and Mechanics, 62(3): 365–372.

    Article  Google Scholar 

  • Holland JH (1992), Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence, MIT Press, USA.

    Book  Google Scholar 

  • JTG/T B02-01-2008 (2008), Guidelines for Seismic Design of Highway Bridges, Department of Transportation, Beijing, China. (in Chinese)

    Google Scholar 

  • JTG D60-2015 (2015), General Specification for Design of Highway Bridges and Culverts, Ministry of Transport of the People’s Republic of China, Beijing, China. (in Chinese)

    Google Scholar 

  • JTG D62-2012 (2012), Code for Design of Highway Reinforced Concrete and Prestressed Concrete Bridges and Culverts, Ministry of Communication of the People’s Republic of China, Beijing, China. (in Chinese)

    Google Scholar 

  • Kepler JL, Darwin D and Locke Jr CE (2000), “Evaluation of Corrosion Protection Methods for Reinforced Concrete Highway Structures,” SM Report No.58, University of Kansas Center for Research, Inc., Lawrence, Kansas, USA.

    Google Scholar 

  • Koch GH, Brongers MPH, Thompson NG, Virmani YP and Payer JH (2002), “Corrosion Costs and Preventive Strategies in the United States,” No. FHWA-RD-01-156, R315-01, Federal Highway Administration, USA.

    Google Scholar 

  • Labi SA and Cope A (2009), “Does Stainless Cost Less? Assessing the Feasibility of Stainless Steel as a Reinforcement Material for Bridge Decks on the Basis of Life-Cycle Costing,” TRB 2009 Annual Meeting, No. 09-3658(CD-ROM), Washington, D.C., USA.

  • Leng FG, Feng NQ and Lu XY (2000), “An Experimental Study on the Properties of Resistance to Diffusion of Chloride Ions of Fly Ash and Blast Furnace Slag Concrete,” Cement and Concrete Research, 30(6): 989–992.

    Article  Google Scholar 

  • Li HN, Cheng H and Wang DS (2018), “Time-Variant Seismic Performance of Offshore RC Bridge Columns with Uncertainty,” International Journal of Structural Stability and Dynamics, 18(12): 1850149.

    Article  Google Scholar 

  • Lim S, Akiyama M and Frangopol DM (2016), “Assessment of the Structural Performance of Corrosion-Affected RC Members Based on Experimental Study and Probabilistic Modeling,” Engineering Structures, 127:189–205.

    Article  Google Scholar 

  • Ma Y, Che Y and Gong JX (2012), “Behavior of Corrosion Damaged Circular Reinforced Concrete Columns Under Cyclic Loading,” Construction and Building Materials, 29:548–556.

    Article  Google Scholar 

  • O’Reilly M, Darwin D, Browning J and Locke Jr CE (2011), “Evaluation of Multiple Corrosion Protection Systems for Reinforced Concrete Bridge Decks,” Report, University of Kansas Center for Research, Inc., USA.

    Google Scholar 

  • Otieno M, Ikotun J and Ballim Y (2019), “Experimental Investigations on the Influence of Cover Depth and Concrete Quality on Time to Cover Cracking Due to Carbonation-Induced Corrosion of Steel in RC Structures in an Urban, Inland Environment,” Construction and Building Materials, 198: 172–181.

    Article  Google Scholar 

  • Rodriguez J and Andrade C (2001), “Contecvet: A Validated Users Manual for Assessing the Residual Service Life of Concrete Structures,” EC Innovation Program IN309021, Geocisa, Madrid, Spain.

    Google Scholar 

  • Sajedi S, Huang QD, Gandomi AH and Kiani B (2016), “Reliability-Based Multiobjective Design Optimization of Reinforced Concrete Bridges Considering Corrosion Effect,” ASCE-ASME Journal of Risk Uncertainty in Engineering Systems, Part A: Civil Engineering, 3(3): 04016015.

    Article  Google Scholar 

  • Sajedi S and Huang QD (2019), “Reliability-Based Life-Cycle-Cost Comparison of Different Corrosion Management Strategies,” Engineering Structures, 186: 52–63.

    Article  Google Scholar 

  • Shekhar S, Ghosh J and Padgett JE (2018), “Seismic Life-Cycle Cost Analysis of Ageing Highway Bridges under Chloride Exposure Conditions: Modelling and Recommendations,” Structure Infrastructure Engineering, 14(7): 941–966.

    Article  Google Scholar 

  • Sohanghpurwala AA (2006), “Manual on Service Life of Corrosion-Damaged Reinforced Concrete Bridge Superstructure Elements,” Transportation Research Board, Vol. 558.

  • Suwito A and Xi YP (2004), “Service Life of Reinforced Concrete Structures with Corrosion Damage Due to Chloride Attack,” Life-Cycle Performance of Deteriorating Structures: Assessment, Design and Management, pp. 207–218.

  • Tuutti K (1982), “Corrosion of Steel in Concrete,” Research Report, Swedish Cement and Concrete Institute (CIB), Stockholm, Sweden.

    Google Scholar 

  • Val DV (2007), “Factors Affecting Life-Cycle Cost Analysis of RC Structures in Chloride Contaminated Environments,” Journal of Infrastructure Systems, 13(2): 135–143.

    Article  Google Scholar 

  • Val DV and Stewart MG (2003), “Life-Cycle Cost Analysis of Reinforced Concrete Structures in Marine Environments,” Structural Safety, 25(4): 343–362.

    Article  Google Scholar 

  • Vamvatsikos D and Cornell CA (2002), “Incremental Dynamic Analysis,” Earthquake Engineering & Structural Dynamics, 31(3): 491–514.

    Article  Google Scholar 

  • Veletsos AS and Newmark NM (1960), “Effect of Inelastic Behavior on the Response of Simple Systems to Earthquake Motions,” Proceedings of Department of Civil Engineering, University of Illinois, USA.

    Google Scholar 

  • Vidal T, Castel A and Francois R (2004), “Analyzing Crack Width to Predict Corrosion in Reinforced Concrete,” Cement and Concrete Research, 34(1): 165–174.

    Article  Google Scholar 

  • Vu KAT and Stewart MG (2000), “Structural Reliability of Concrete Bridges Including Improved Chloride-Induced Corrosion Models,” Structural Safety, 22(4): 313–333.

    Article  Google Scholar 

  • Webster MP and Clark LA (2000), “The Structural Effects of Corrosion-An Overview of the Mechanisms,” Proceedings of the Concrete Communication, Birmingham, UK, pp. 409–421.

  • Weyers RE, Prowell BD, Sprinkel MM and Vorster M (1993), “Concrete Bridge Protection, Repair, and Rehabilitation Relative to Reinforcement Corrosion: A Methods Application Manual,” Contract, 100: 100–103.

    Google Scholar 

  • Yuan W, Guo AX and Li H (2017), “Seismic Failure Mode of Coastal Bridge Piers Considering the Effects of Corrosion-Induced Damage,” Soil Dynamics and Earthquake Engineering, 93: 135–146.

    Article  Google Scholar 

  • Zhang M (2009), Structural Reliability Analysis: Methods and Procedures, Science Press, Beijing, China. (in Chinese)

    Google Scholar 

  • Zhang WP, Ye ZW and Gu XL (2017), “Effects of Stirrup Corrosion on Shear Behaviour of Reinforced Concrete Beams,” Structure and Infrastructure Engineering, 13(8): 1081–1092.

    Article  Google Scholar 

Download references

Acknowledgement

The financial support from the National Natural Science Foundation of China (51921006, 51725801), Fundamental Research Funds for the Central Universities (FRFCU5710093320) and Heilongjiang Touyan Innovation Team Program are greatly appreciated.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anxin Guo.

Additional information

Supported by: National Natural Science Foundation of China under Grant Nos. 51921006 and 51725801, Fundamental Research Funds for the Central Universities under Grant No. FRFCU5710093320, and Heilongjiang Touyan Innovation Team Program

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, X., Yuan, W. & Guo, A. Reliability-based life-cycle cost seismic design optimization of coastal bridge piers with nonuniform corrosion using different materials. Earthq. Eng. Eng. Vib. 23, 209–225 (2024). https://doi.org/10.1007/s11803-024-2234-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-024-2234-z

Keywords

Navigation