Technical Papers
Oct 31, 2022

Life-Cycle Risk-Based Optimal Maintenance Strategy for Bridge Networks Subjected to Corrosion and Seismic Hazards

Publication: Journal of Bridge Engineering
Volume 28, Issue 1

Abstract

Structural deterioration is induced by multiple mechanisms due to progressive degradation, such as aging, corrosion, and fatigue, and sudden events, such as earthquakes, tsunamis, and hurricanes. These mechanisms may significantly affect the performance indicators of structural components and systems during their life cycles. Many studies on the effects of structural deterioration on structural performance indicators have been reported in the literature. However, most of them study the effect of a single deterioration mechanism on structural performance indicators in a deterministic context. Therefore, further research is needed to capture the joint effects of multiple deterioration mechanisms on structural performance indicators in a probabilistic context. Moreover, in order to achieve the main goal of infrastructure management by maximizing the life-cycle performance at a minimum cost, an optimal risk-based life-cycle strategy has to be provided. This paper presents a life-cycle risk-based optimal management strategy for bridge networks subjected to corrosion and seismic hazards. The proposed strategy is illustrated with an existing bridge network. Girder replacement is considered for the bridge superstructure, which is prone to corrosion hazard, while seismic retrofit measures are considered for the bridge bearings and substructures to improve their seismic performance. A709-50CR steel girders are used to replace the corroded steel girders herein (A709-50CR is a novel corrosion-resistant steel with a chromium content similar to that of martensitic stainless steel). Parametric analysis is conducted to investigate the effects of both target service life and correlation of the safety margins among the superstructures of the bridge network on the Pareto fronts associated with life-cycle risk-based optimal maintenance solutions. Comparison is also made between Pareto fronts associated with both hazards and those associated with corrosion hazard only.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors are grateful for the support provided by (1) the Center for Integrated Asset Management for Multimodal Transportation Infrastructure Systems (CIAMTIS), a US Department of Transportation University Transportation Center, under federal rant number 69A3551847103, and (2) the Commonwealth of Pennsylvania Department of Community and Economic Development through the Pennsylvania Infrastructure Technology (PITA). The authors would like to thank Mr. Thomas P. Macioce, PE, from the Pennsylvania Department of Transportation for providing the bridge drawings used in the case study. The authors would also like to thank Dr. Thomas P. Murphy from Modjeski and Masters, Inc., for his support. The opinions and conclusions presented this paper are those of the authors and do not necessarily reflect the views of the sponsoring organizations.

References

AASHTO. 2017. AASHTO LRFD bridge design specifications. Washington, DC: AASHTO.
Akgül, F., and D. M. Frangopol. 2003. “Rating and reliability of existing bridges in a network.” J. Bridge Eng. 8 (6): 383–393. https://doi.org/10.1061/(ASCE)1084-0702(2003)8:6(383).
Akgül, F., and D. M. Frangopol. 2004. “Bridge rating and reliability correlation: Comprehensive study for different bridge types.” J. Struct. Eng. 130 (7): 1063–1074. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:7(1063).
Akiyama, M., D. M. Frangopol, and H. Ishibashi. 2020. “Toward life-cycle reliability-, risk- and resilience-based design and assessment of bridges and bridge networks under independent and interacting hazards: Emphasis on earthquake, tsunami and corrosion.” Struct. Infrastruct. Eng. 16 (1): 26–50. https://doi.org/10.1080/15732479.2019.1604770.
Albrecht, P., and A. H. Naeemi. 1984. Performance of weathering steel in bridges. NCHRP Report 272. Washington, DC: Transportation Research Board.
Bastidas-Arteaga, E., P. Bressolette, A. Chateauneuf, and M. Sánchez-Silva. 2009. “Probabilistic lifetime assessment of RC structures under coupled corrosion-fatigue deterioration processes.” Struct. Saf. 31 (1): 84–96. https://doi.org/10.1016/j.strusafe.2008.04.001.
BPR (Bureau of Public Roads). 1964. Traffic assignment manual for application with a large, high speed computer. Washington, DC: US Dept. of Commerce, Urban Planning Division, Oxford Univ.
Campbell, K. W., and B. Bozorgnia. 2007. Campbell-bozorgnia NGA ground motion relations for the geometric mean horizontal component of peak and spectral ground motion parameters. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Chandrasekaran, S., and S. Banerjee. 2016. “Retrofit optimization for resilience enhancement of bridges under multihazard scenario.” J. Struct. Eng. 142 (8): C4015012. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001396.
Chang, S. E., M. Shinozuka, and J. E. Moore II. 2000. “Probabilistic earthquake scenarios: Extending risk analysis methodologies to spatially distributed systems.” Earthquake Spectra 16 (3): 557–572. https://doi.org/10.1193/1.1586127.
Decò, A., and D. M. Frangopol. 2011. “Risk assessment of highway bridges under multiple hazards.” J. Risk Res. 14 (9): 1057–1089. https://doi.org/10.1080/13669877.2011.571789.
Decò, A., and D. M. Frangopol. 2013. “Life-cycle risk assessment of spatially distributed aging bridges under seismic and traffic hazards.” Earthq. Spectra 29 (1): 127–153. https://doi.org/10.1193/1.4000094.
Dial, R. B. 1971. “A probabilistic multipath traffic assignment model which obviates path enumeration.” Transp. Res. 5 (2): 83–111. https://doi.org/10.1016/0041-1647(71)90012-8.
Dong, Y., D. M. Frangopol, and S. Sabatino. 2015. “Optimizing bridge network retrofit planning based on cost-benefit evaluation and multi-attribute utility associated with sustainability.” Earthquake Spectra 31 (4): 2255–2280. https://doi.org/10.1193/012214EQS015M.
Dong, Y., D. M. Frangopol, and D. Saydam. 2013. “Time-variant sustainability assessment of seismically vulnerable bridges subjected to multiple hazards.” Earthquake Eng. Struct. Dyn. 42 (10): 1451–1467. https://doi.org/10.1002/eqe.2281.
Dong, Y., D. M. Frangopol, and D. Saydam. 2014a. “Pre-earthquake multi-objective probabilistic retrofit optimization of bridge networks based on sustainability.” J. Bridge Eng. 19 (6): 04014018. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000586.
Dong, Y., D. M. Frangopol, and D. Saydam. 2014b. “Sustainability of highway bridge networks under seismic hazard.” J. Earthquake Eng. 18 (1): 41–66. https://doi.org/10.1080/13632469.2013.841600.
Erath, A., J. Birdsall, K. W. Axhausen, and R. Hajdin. 2009. “Vulnerability assessment methodology for Swiss road network.” Transp. Res. Rec. 2137: 118–126. https://doi.org/10.3141/2137-13.
FHWA (Federal Highway Administration). 2011. Improved corrosion-resistant steel for highway bridge construction. FHWA-HRT-11-061. Washington, DC: FHWA.
Fisk, C. 1980. “Some developments in equilibrium traffic assignment.” Transp. Res. Part B Methodol. 14 (3): 243–255. https://doi.org/10.1016/0191-2615(80)90004-1.
Frangopol, D. M. 1995. “Reliability – based optimum structural design.” In Chapter 16 Probabilistic Structural Mechanics Handbook, edited by C. Sundararajan, 352-387. New York: Chapman & Hall.
Frangopol, D. M., and P. Bocchini. 2012. “Bridge network performance, maintenance and optimisation under uncertainty: Accomplishments and challenges.” Struct. Infrastruct. Eng. 8 (4): 341–356. https://doi.org/10.1080/15732479.2011.563089.
Gehl, P., and D. D’Ayala. 2016. “Development of Bayesian Networks for the multi-hazard fragility assessment of bridge systems.” Struct. Saf. 60: 37–46. https://doi.org/10.1016/j.strusafe.2016.01.006.
Gehl, P., and D. D’Ayala. 2018. “System loss assessment of bridge networks accounting for multi-hazard interactions.” Struct. Infrastruct. Eng. 14 (10): 1355–1371. https://doi.org/10.1080/15732479.2018.1434671.
Han, Q., J. Wen, X. Du, and C. Huang. 2019. “Seismic response of single pylon cable-stayed bridge under scour effect.” J. Bridge Eng. 24 (6): 05019007. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001413.
Han, X., and D. M. Frangopol. 2022a. “Life-cycle connectivity-based maintenance strategy for bridge networks subjected to corrosion considering correlation of bridge resistances.” Struct. Infrastruct. Eng. 18: 1614–1637. https://doi.org/10.1080/15732479.2021.2023590.
Han, X., and D. M. Frangopol. 2022b. “Risk-based optimal life-cycle maintenance strategy for bridge networks considering stochastic user equilibrium.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 8 (2): 04022011. https://doi.org/10.1061/AJRUA6.0001222.
Han, X., D. Y. Yang, and D. M. Frangopol. 2021a. “Optimum maintenance of deteriorated steel bridges using corrosion resistant steel based on system reliability and life-cycle cost.” Eng. Struct. 243: 112633. https://doi.org/10.1016/j.engstruct.2021.112633.
Han, X., D. Y. Yang, and D. M. Frangopol. 2021b. “Risk-based life-cycle optimization of deteriorating steel bridges: Investigation on the use of novel corrosion resistant steel.” Adv. Struct. Eng. 24 (8): 1668–1686. https://doi.org/10.1177/1369433220980529.
HAZUS-MH. 2011. Multi-hazard loss estimation methodology: Earthquake model Hazus-MH MR5 technical manual. Washington, DC: FEMA.
Huang, Y., S. Parmelee, and W. Pang. 2014. “Optimal retrofit scheme for highway network under seismic hazards.” Int. J. Transp. Sci. Technol. 3 (2): 109–128. https://doi.org/10.1260/2046-0430.3.2.109.
Jiang, Y., and H. Wu. 2004. Determination of INDOT highway construction production rates and estimation of contract times. Springfield, VA: National Technical Information Service.
Kayser, J. R. 1988. “The effects of corrosion on the reliability of steel girder bridges.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Michigan.
Kim, Y.-S., B. F. Spencer, and A. S. Elnashai. 2008. Seismic loss assessment and mitigation for critical urban infrastructure systems. Urbana, IL: Univ. of Illinois at Urbana-Champaign.
Knoop, V. L., M. Snelder, and H. J. van Zuylan. 2007. “Comparison of link-level robustness indicators.” In Proc., of 3rd Int. Symp. on Transportation Network Reliability. Delft, Netherlands: Delft University of Technology (TU Delft).
Kong, J. S., A. N. Ababneh, D. M. Frangopol, and Y. Xi. 2002. “Reliability analysis of chloride penetration in saturated concrete.” Probab. Eng. Mech. 17 (3): 305–315. https://doi.org/10.1016/S0266-8920(02)00014-0.
Lee, G. C., S. B. Mohan, C. Huang, and B. N. Fard. 2013. A study of US bridge failures (1980–2012). MCEER Technical Report. Washington, DC: Federal Highway Administration.
Lichtenstein, A. G. 1993. “The silver bridge collapse recounted.” J. Perform. Constr. Facil 7 (4): 249–261. https://doi.org/10.1061/(ASCE)0887-3828(1993)7:4(249).
Liu, M., and D. M. Frangopol. 2005a. “Balancing connectivity of deteriorating bridge networks and long-term maintenance cost through optimization.” J. Bridge Eng. 10 (4): 468–481. https://doi.org/10.1061/(ASCE)1084-0702(2005)10:4(468).
Liu, M., and D. M. Frangopol. 2005b. “Time-dependent bridge network reliability: Novel approach.” J. Struct. Eng. 131 (2): 329–337. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:2(329).
Liu, M., and D. M. Frangopol. 2006. “Optimizing bridge network maintenance management under uncertainty with conflicting criteria: Life-cycle maintenance, failure, and user costs.” J. Struct. Eng. 132 (11): 1835–1845. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:11(1835).
Mander, J. B. 1999. Fragility curve development for assessing the seismic vulnerability of highway bridges. Buffalo, NY: State Univ. of New York.
Martin, J., A. Alipour, and P. Sarkar. 2019. “Fragility surfaces for multi-hazard analysis of suspension bridges under earthquakes and microbursts.” Eng. Struct. 197 (July): 109169. https://doi.org/10.1016/j.engstruct.2019.05.011.
MathWorks. 2018. Global optimization toolbox user’s guide. Natick, MA: MathWorks.
Melchers, R. E. 1987. Structural reliability: Analysis and prediction. Hertfordshire, UK: Ellis Horwood.
Messore, M. M., L. Capacci, and F. Bidondini. 2021. “Life-cycle cost-based risk assessment of aging bridge networks.” Struct. Infrastruct. Eng. 17 (4): 515–533. https://doi.org/10.1080/15732479.2020.1845752.
Nielson, B. G., and R. DesRoches. 2007. “Analytical seismic fragility curves for typical bridges in the central and southeastern United States.” Earthquake Spectra 23 (3): 615–633. https://doi.org/10.1193/1.2756815.
Padgett, J. E. 2007. Seismic vulnerability assessment of retrofitted bridges using probabilistic methods. Atlanta, GA: Georgia Institute of Technology.
Padgett, J. E., K. Dennemann, and J. Ghosh. 2010a. “Risk-based seismic life-cycle cost–benefit (LCC-B) analysis for bridge retrofit assessment.” Struct. Saf. 32 (3): 165–173. https://doi.org/10.1016/j.strusafe.2009.10.003.
Padgett, J. E., and R. DesRoches. 2009. “Retrofitted bridge fragility analysis for typical classes of multispan bridges.” Earthquake Spectra 25 (1): 117–141. https://doi.org/10.1193/1.3049405.
Padgett, J. E., R. Desroches, and E. Nilsson. 2010b. “Regional seismic risk assessment of bridge network in Charleston, South Carolina.” J. Earthquake Eng. 14 (6): 918–933. https://doi.org/10.1080/13632460903447766.
Petrini, F., K. Gkoumas, C. Rossi, and F. Bontempi. 2020. “Multi-hazard assessment of bridges in case of hazard chain: State of play and application to vehicle-pier collision followed by fire.” Front. Built Environ. 6: 1–19. https://doi.org/10.3389/fbuil.2020.580854.
Selva, J. 2013. “Long-term multi-risk assessment: Statistical treatment of interaction among risks.” Nat. Hazard. 67 (2): 701–722. https://doi.org/10.1007/s11069-013-0599-9.
Shiraki, N., M. Shinozuka, J. E. Moore, S. E. Chang, H. Kameda, and S. Tanaka. 2007. “System risk curves: Probabilistic performance scenarios for highway networks subject to earthquake damage.” J. Infrastruct. Syst. 13 (1): 43–54. https://doi.org/10.1061/(ASCE)1076-0342(2007)13:1(43).
Soliman, M., and D. M. Frangopol. 2015. “Life-cycle cost evaluation of conventional and corrosion-resistant steel for bridges.” J. Bridge Eng. 20 (1): 06014005. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000647.
Song, J., W.-H. Kang, Y-J. Lee, and J. Chun. 2021. “Structural system reliability: Overview of theories and applications to optimization.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 7 (2): 03121001. https://doi.org/10.1061/AJRUA6.0001122.
Southwell, C. R., J. D. Bultman, and C. W. Hummer Jr. 1974. Influence of marine organisms on the life of structural steels in seawater. Washingting, DC: Naval Research Laboratory.
Stewart, M. G. 2004. “Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure.” Struct. Saf. 26: 453–470. https://doi.org/10.1016/j.strusafe.2004.03.002.
Stewart, M. G. 2009. “Mechanical behaviour of pitting corrosion of flexural and shear reinforcement and its effect on structural reliability of corroding RC beams.” Struct. Saf. 31 (1): 19–30. https://doi.org/10.1016/j.strusafe.2007.12.001.
USGS. 2022. “Unified hazard tool.” Accessed February 2022. https://earthquake.usgs.gov/nshmp-haz-ws/apps/services.html.
Yang, D. Y., and D. M. Frangopol. 2020. “Life-cycle management of deteriorating bridge networks with network-level risk bounds and system reliability analysis.” Struct. Saf. 83: 101911. https://doi.org/10.1016/j.strusafe.2019.101911.
Zanini, M. A., F. Faleschini, and C. Pellegrino. 2017. “Probabilistic seismic risk forecasting of aging bridge networks.” Eng. Struct. 136: 219–232. https://doi.org/10.1016/j.engstruct.2017.01.029.
Zanini, M. A., C. Pellegrino, R. Morbin, and C. Modena. 2013. “Seismic vulnerability of bridges in transport networks subjected to environmental deterioration.” Bull. Earthquake Eng. 11 (2): 561–579. https://doi.org/10.1007/s10518-012-9400-9.
Zhu, B., and D. M. Frangopol. 2013. “Risk-based approach for optimum maintenance of bridges under traffic and earthquake loads.” J. Struct. Eng. 139 (3): 422–434. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000671.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 28Issue 1January 2023

History

Received: Apr 15, 2022
Accepted: Sep 13, 2022
Published online: Oct 31, 2022
Published in print: Jan 1, 2023
Discussion open until: Mar 31, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Xu Han, S.M.ASCE [email protected]
Research Assistant, Dept. of Civil and Environmental Engineering, ATLSS Engineering Research Center, Lehigh Univ., 117 ATLSS Dr., Bethlehem, PA 18015. Email: [email protected]
Dan M. Frangopol, Dist.M.ASCE [email protected]
Professor and the Fazlur R. Khan Endowed Chair of Structural Engineering and Architecture, Dept. of Civil and Environmental Engineering, ATLSS Engineering Research Center, Lehigh Univ., 117 ATLSS Dr., Bethlehem, PA 18015 (corresponding author). Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Impact of Climate Change on Risk Assessment and Effective Maintenance Strategies for Bridge Networks Subjected to Corrosion, ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 10.1061/AJRUA6.RUENG-1059, 10, 1, (2024).
  • Sustainable Life-Cycle Maintenance Policymaking for Network-Level Deteriorating Bridges with a Convolutional Autoencoder–Structured Reinforcement Learning Agent, Journal of Bridge Engineering, 10.1061/JBENF2.BEENG-6159, 28, 9, (2023).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share