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RESEARCH PAPER
An Evaluation on the Time-Dependent Reliability of Reinforced Concrete Structures Considering Non-Stationary Resistance Degradation: A Comprehensive Gamma Process-Based Approach
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1
School of Architecture and Civil Engineering, Xihua University, China
 
2
Sichuan Provincial Geological Environment Survey and Research Center, China
 
3
School of Civil Engineering, Southwest Jiaotong University, China
 
4
Chengdu Municipal Transportation Bureau, China
 
 
Submission date: 2024-10-28
 
 
Final revision date: 2024-11-21
 
 
Acceptance date: 2025-01-19
 
 
Online publication date: 2025-01-31
 
 
Publication date: 2025-01-31
 
 
Corresponding author
Conghe Jin   

School of Architecture and Civil Engineering, Xihua University, China
 
 
Eksploatacja i Niezawodność – Maintenance and Reliability 2025;27(3):200284
 
HIGHLIGHTS
  • Bridge resistance deteriorates non-stationarily over time, affecting safety.
  • Load frequency and intensity growth impact time-dependent reliability.
  • Gamma process models non-stationary degradation, validated by FE experiment.
  • Two reliability equations developed based on Gamma process and load growth.
  • Load intensity and non-stationary degradation are primary contributors to safety decline.
KEYWORDS
TOPICS
ABSTRACT
Bridge resistance deteriorates over time, impacting safety and time-dependent reliability due to non-stationary degradation and increasing load frequency and intensity. This paper investigates the reliability of reinforced concrete structures, focusing on these factors. A Gamma process models the non-stationary degradation of bridge resistance, validated through a finite element experiment with a simply supported RC beam, where tensile steel reinforcements were reduced to simulate deterioration. Two time-dependent reliability equations were derived from the Gamma process and verified via Monte Carlo Simulation. Results show that the sensitivity of load intensity growth, frequency growth, non-stationarity degradation of resistance and environmental affection occupies 56.1%, 0.03%, 40.5% and 3.37%, respectively. Load intensity growth declines the safety of aging structures most, while the non-stationarity of resistance degradation should be given extra attention, as the analysis did not set expectations for its growth.
FUNDING
This Study Was Funded by the Natural Science Foundation of China (NSFC), No. 51778532.
REFERENCES (57)
1.
Y. Bai, W. Niu, G. S. Mei et al., Flexural behavior of hybrid C-PET FRP-strengthened RC beams with U-strip anchorages, Engineering Structures 322B (2025) 119164.
 
2.
C. JIN, Y. QIAN, F. ZHANG, W. XU, Time-dependent reliability analysis of deteriorating reinforced concrete bridges considering nonstationary processes, Chinese Journal of Engineering 44 (2022) 1265–1273.
 
3.
C. Wang, Structural reliability and time-dependent reliability, Springer, 2021. https://doi.org/10.1007/978-3-....
 
4.
C. Jin, J. Huang, Y. Qian, W. Xu, Time-dependent reliability analysis for in-service bridge considering correlated non-stationary stochastic process, 2021. https://doi.org/10.1109/ISTTCA....
 
5.
Y. Yang, J. Peng, C.S. Cai, Y. Zhou, L. Wang, J. Zhang, Time-dependent reliability assessment of aging structures considering stochastic resistance degradation process, Reliab Eng Syst Saf 217 (2022) 108105.
 
6.
R.K. Biswas, M. Iwanami, N. Chijiwa, K. Nakayama, Numerical evaluation on the effect of steel bar corrosion on the cyclic behaviour of RC bridge piers, Mater Today Proc 44 (2021) 2393–2398. https://doi.org/10.1016/j.matp....
 
7.
B. Nie, S. Xu, Y. Wang, Time-dependent reliability analysis of corroded steel beam, KSCE Journal of Civil Engineering 24 (2020) 255–265. https://doi.org/10.1007/s12205....
 
8.
L. Luo, X. Xie, Y. Zhang, W. He, Overview of Calculation Methods of Structural Time-Dependent Reliability, J Phys Conf Ser 2148 (2022) 012063. https://doi.org/10.1088/1742-6....
 
9.
C. Song, C. Zhang, A. Shafieezadeh, R. Xiao, Value of information analysis in non-stationary stochastic decision environments: A reliability-assisted POMDP approach, Reliab Eng Syst Saf 217 (2022) 108034.
 
10.
S. Wang, L. Zhang, H. Su, J. Du, Time-dependent robustness-based condition assessment of RC bridges subjected to corrosion, in: Structures, Elsevier, 2021: pp. 4500–4510. https://doi.org/10.1016/j.istr....
 
11.
C. Wang, Estimation of time-dependent reliability of aging structures under correlated load and autocorrelation in resistance deterioration, Appl Math Model 94 (2021) 272–284. https://doi.org/10.1016/j.apm.....
 
12.
K.J. Stein, Â.G. Graeff, M.R. Garcez, Structural performance of reinforced concrete beams subjected to combined effects of corrosion and cyclic loading, Journal of Building Pathology and Rehabilitation 8 (2023) 15. https://doi.org/10.1007/s41024....
 
13.
Y. Luo, H. Zheng, H. Zhang, Y. Liu, Fatigue reliability evaluation of aging prestressed concrete bridge accounting for stochastic traffic loading and resistance degradation, Advances in Structural Engineering 24 (2021) 3021–3029. https://doi.org/10.1177/136943....
 
14.
Y. Ma, Z. Guo, L. Wang, J. Zhang, Probabilistic life prediction for reinforced concrete structures subjected to seasonal corrosion-fatigue damage, Journal of Structural Engineering 146 (2020) , https://doi.org/10.1061/(ASCE)....
 
15.
C. Wang, M. Beer, B.M. Ayyub, Time-dependent reliability of aging structures: Overview of assessment methods, ASCE ASME J Risk Uncertain Eng Syst A Civ Eng 7 (2021). https://doi.org/10.1061/AJRUA6....
 
16.
J. Zhong, Y. Mao, X. Yuan, Lifetime seismic risk assessment of bridges with construction and aging considerations, in: Structures, Elsevier, 2023: pp. 2259–2272. https://doi.org/10.1016/j.istr....
 
17.
B. Wu, Y. Tang, Z. Li, K. Tang, Fatigue damage accumulation modelling of critical components subjected to moving crane loads in reinforced-concrete industrial buildings, Eng Fail Anal 119 (2021) 104951.
 
18.
D.K. Devendiran, S. Banerjee, Influence of combined corrosion–fatigue deterioration on life-cycle resilience of RC bridges, Journal of Bridge Engineering 28 (2023) https://doi.org/10.1061/JBENF2....
 
19.
F. Matteo, G. Carlo, P. Federico, Z. Enrico, Time-dependent reliability analysis of the reactor building of a nuclear power plant for accounting of its aging and degradation, Reliab Eng Syst Saf 205 (2021) 107173.
 
20.
L. Capacci, F. Biondini, Probabilistic life-cycle seismic resilience assessment of aging bridge networks considering infrastructure upgrading, Structure and Infrastructure Engineering 16 (2020) 659–675. https://doi.org/10.1080/157324....
 
21.
M.E.A. Ben Seghier, B. Keshtegar, H. Mahmoud, Time-dependent reliability analysis of reinforced concrete beams subjected to uniform and pitting corrosion and brittle fracture, Materials 14 (2021) https://doi.org/10.3390/ma1408....
 
22.
B.R. Ellingwood, Y. Mori, Probabilistic methods for condition assessment and life prediction of concrete structures in nuclear power plants, Nuclear Engineering and Design 142 (1993) 155–166. https://doi.org/10.1016/0029-5....
 
23.
Y. Mori, B.R. Ellingwood, Reliability-based service-life assessment of aging concrete structures, Journal of Structural Engineering 119 (1993) 1600–1621. https://doi.org/10.1061/(ASCE)...).
 
24.
Y. Ji, H. Liu, N.-C. Xiao, H. Zhan, An efficient method for time-dependent reliability problems with high-dimensional outputs based on adaptive dimension reduction strategy and surrogate model, Eng Struct 276 (2023) 115393.
 
25.
J.M. Van Noortwijk, M.D. Pandey, A stochastic deterioration process for time-dependent reliability analysis, in: Reliability and Optimization of Structural Systems, CRC Press, 2020: pp. 259–265. https://doi.org/10.1201/978100....
 
26.
J.M. Noortwijk, A survey of the application of gamma processes in maintenance, Reliability Engineering and System Safety 94 (2009) 2-21. https://doi.org/10.1016/j.ress....
 
27.
M. Oumouni, F. Schoefs, B. Castanier, Modeling time and spatial variability of degradation through gamma processes for structural reliability assessment, Structural Safety 76(2019) 162-173. https://doi.org/10.1016/j.stru....
 
28.
D. Kuzio, R. Zimroz, A. Wyłomańska. A modified gamma process for RUL prediction based on data with time-varying heavy-tailed distribution, Information Sciences 690(2025) 121603.
 
29.
J.M. van Noortwijk, A survey of the application of gamma processes in maintenance, Reliab Eng Syst Saf 94 (2009) 2–21.
 
31.
G. Liu, Q. Guan, Y. Tang, Y. Tzeng, Interval modeling for gamma process degradation model, Symmetry (Basel) 14 (2022) https://doi.org/10.3390/sym140....
 
32.
X. Wang, B.X. Wang, Y. Hong, P.H. Jiang, Degradation data analysis based on gamma process with random effects, Eur J Oper Res 292 (2021) 1200–1208. https://doi.org/https://doi.or....
 
33.
M.B. Salem, M. Fouladirad, E. Deloux, Variance Gamma process as degradation model for prognosis and imperfect maintenance of centrifugal pumps, Reliab Eng Syst Saf 223 (2022) 108417.
 
34.
Q. Li, C. Wang, B.R. Ellingwood, Time-dependent reliability of aging structures in the presence of non-stationary loads and degradation, Structural Safety 52 (2015) 132–141. https://doi.org/10.1016/j.stru....
 
35.
D. Jia, Z. Wu, Structural reliability analysis under stochastic seismic excitations and multidimensional limit state based on gamma mixture model and copula function, Probabilistic Engineering Mechanics 76 (2024) 103621.
 
36.
B. Wu, L. Cui, J. Yin, Reliability and maintenance of systems subject to Gamma degradation and shocks in dynamic environments, Applied Mathematical Modelling 96(2021) 367-381. https://doi.org/10.1016/j.apm.....
 
37.
Q. Liang, S. Liu, C. Peng, Reliability analysis of multi-component systems subjected to dependent degradation processes and random shocks in dynamic environments, Process Safety and Environmental Protection, 190A (2024) 1546-1561. https://doi.org/10.1016/j.psep....
 
38.
X. He, G. Tan, W. Chu, W. Wang, Q. Kong, Time-Dependent Reliability Assessment Method for RC Simply Supported T-Beam Bridges Based on Lateral Load Distribution Influenced by Reinforcement Corrosion, Applied Sciences 12 (2022) 7028. https://doi.org/10.3390/app121....
 
39.
M.P. Enright, D.M. Frangopol, Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion, Eng Struct 20 (1998) 960–971. https://doi.org/10.1016/S0141-....
 
40.
C. Wang, An explicit compound Poisson process-based shock deterioration model for reliability assessment of aging structures, Journal of Traffic and Transportation Engineering (English Edition) 9 (2022) 461–472. https://doi.org/10.1016/j.jtte....
 
41.
Y. Yuan, W. Han, G. Li, Q. Guo, X. Xu, J. Sun, Probabilistic limit state assessment of concrete bridges considering non-stationary factors, Engineering Mechanics 37 (2020) 167–178.
 
42.
C.M. Fang Wei ZHANG Rui XIE Li, Time-varying Gamma stochastic process-based modeling method for steel corrosion, Journal Of Building Structures 41 (2020) 382–388. https://doi.org/10.14006/j.jzj....
 
43.
C. Wang, B.M. Ayyub, A. Ahmed, Time-dependent reliability and resilience of aging structures exposed to multiple hazards in a changing environment, Resilient Cities and Structures 1 (2022) 40–51. https://doi.org/10.1016/j.rcns....
 
44.
Y. Yuan, W. Han, G. Li, Q. Xie, Q. Guo, Time-dependent reliability assessment of existing concrete bridges including non-stationary vehicle load and resistance processes, Eng Struct 197 (2019) 109426.
 
45.
J. Li, J. Chen, X. Zhang, Time-dependent reliability analysis of deteriorating structures based on phase-type distributions, IEEE Trans Reliab 69 (2019) 545–557. https://doi.org/10.1109/TR.201....
 
46.
N. Lu, Y. Liu, M. Noori, Extrapolation of time-variant extreme effect on long-span bridge considering steadily growing traffic volume, 工程力学 35 (2018) 159–166.
 
47.
B. Dai, D. Wu, Q. Li, Investigation of multiple-presence factor for traffic loads on road-rail bridges based on a novel extreme value analysis approach, Structural Safety 96 (2022) 102199. https://doi.org/10.1016/j.stru....
 
48.
Z. Li, C. Li, J. Sun, Q. Li, Estimation of extreme vehicle load effect based on GPD model, Engineering Mechanics 29 (2012) 166–171.
 
49.
Y. Liu, Modeling the time-to corrosion cracking of the cover concrete in chloride contaminated reinforced concrete structures, (1996).
 
50.
C. Jiang, X. Zhang, P. Lun, S.A. Memon, Q. Luo, H. Sun, W. Wang, X. Wang, X. Wang, Quantitative characterization of reinforcement cross-sectional roughness and prediction of cover cracking based on machine learning under the influence of pitting corrosion, Measurement 220 (2023) 113322.
 
51.
M.M. Kashani, A.J. Crewe, N.A. Alexander, Use of a 3D optical measurement technique for stochastic corrosion pattern analysis of reinforcing bars subjected to accelerated corrosion, Corros Sci 73 (2013) 208–221. https://doi.org/10.1016/j.cors....
 
52.
Z. Zhao, L. Fu, The probability distribution of pitting for accelerated corrosion reinforcement, Case Studies in Construction Materials 9 (2018) e00193.
 
53.
CCDI, JTG D60-2015 General specifications for design of highway bridges and culverts, China Communication Press (2015).
 
54.
RIHMT, JTG/T H21-2011 Standards for technical condition evaluation of highway bridges, China Communication Press (2011).
 
55.
CCCC, JTG 2120-2020 Unified standard for reliability design of highway engineering structures, China Communication Press (2020).
 
56.
M.P. Enright, D.M. Frangopol, Service-life prediction of deteriorating concrete bridges, Journal of Structural Engineering 124 (1998) 309–317. https://doi.org/10.1061/(ASCE)...).
 
57.
C. Jin, Y. Qian, S.A. Khan, et al, Investigating the feasibility of genetic algorithms in predicting the properties of ecofriendly alkali-based concrete, Construction and Building Materials, 409 (2023) https://doi.org/10.1016/j.conb....
 
 
CITATIONS (1):
1.
2nd International Conference on Durability, Repair and Maintanance of Structures
Beata Nowogońska
 
eISSN:2956-3860
ISSN:1507-2711
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