Time-dependent reliability analysis of corroded RC beams based on the phase-type fitting method

Li, Junxiang; Chen, Jianqiao; Zhang, Xinxin; Wu, Zijun

doi:10.17531/ein/172442

Artykuł - szczegóły

Tytuł artykułu

Time-dependent reliability analysis of corroded RC beams based on the phase-type fitting method

Autorzy

Li Junxiang , Chen Jianqiao , Zhang Xinxin , Wu Zijun

Treść / Zawartość

Pełne teksty:

Pobierz

Identyfikatory

DOI

10.17531/ein/172442

Warianty tytułu

Języki publikacji

Abstrakty

It remains an important challenge to quantitatively describe the corrosion of reinforced concrete (RC) structures under chloride penetration. When considering the uncertainties encountered throughout the life cycle of RC structures exposed to a corrosive environment and evaluating their safety and reliability, the complexity of the problem intensifies. To address these issues, this paper focuses on the time-dependent reliability analysis of corroded RC beams, utilizing the phase-type (PH) fitting method. Initially, a model for the time-dependent reliability of corroded RC beams is established, incorporating the time-dependent chloride diffusion coefficient. Subsequently, a novel PH fitting method is proposed. The effectiveness of this new method is demonstrated through numerical examples. Furthermore, the time-dependent reliability analysis of corroded RC beams is compared using both the PH fitting method and the Monte Carlo simulation. The results reveal that the proposed method can accurately and efficiently deal with time-dependent reliability problems.

Słowa kluczowe

chloride penetration uncertainties time-dependent reliability analysis PH fitting method corroded reinforced concretebeams

Wydawca

Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne

Czasopismo

Eksploatacja i Niezawodność

Rocznik

2023

Tom

Vol. 25, no. 4

Strony

art. no. 172442

Opis fizyczny

Bibliogr. 71 poz., rys., tab., wykr.

Twórcy

autor

Li Junxiang

jxli@wtu.edu.cn

Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, China
School of Mechanical Engineering and Automation, Wuhan Textile University, China

https://orcid.org/0000-0003-0616-5335

autor

Chen Jianqiao

jqchen@mail.hust.edu.cn

Department of Mechanics, Huazhong University of Science and Technology, China
Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Huazhong University of Science and Technology, China

https://orcid.org/0000-0003-3859-0299

autor

Zhang Xinxin

xxzhang@wtu.edu.cn

Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, China
School of Mechanical Engineering and Automation, Wuhan Textile University, China

https://orcid.org/0000-0002-3955-193X

autor

Wu Zijun

zjwu@wtu.edu.cn

Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, China
School of Mechanical Engineering and Automation, Wuhan Textile University, China

https://orcid.org/0000-0001-5020-5619

Bibliografia

1. Alkaff A, Qomarudin M N, Bilfaqih Y. Network reliability analysis: Matrix-exponential approach. Reliability Engineering and System Safety 2020;204:107192.https://doi.org/10.1016/j.ress.2020.107192
2. Amey S L, Johnson D A, Miltenberger M A, Farzam H. Predicting the service life of concrete marine structures: an environmental methodology. ACI Structural Journal 1998;95(2):205-214.https://doi.org/10.14359/540
3. Awad M, Senga Kiesse T, Assaghir Z, Ventura A. Convergence of sensitivity analysis methods for evaluating combined influencesof model inputs. Reliability Engineering and System Safety 2019;189:109-122.https://doi.org/10.1016/j.ress.2019.03.050
4. Bader MA. Performance of concrete in a coastal environment. Cement and Concrete Composites 2003;25:539-548.https://doi.org/10.1016/S0958-9465(02)00093-8
5. Bagheri M, Abbas Hosseini S, Keshtegar B, Correia JAFO, Trung NT. Uncertain time-dependent reliability analysis of corroded RC structures applying three-term conjugate method. Engineering Failure Analysis 2020; 115: 104599.https://doi.org/10.1016/j.engfailanal.2020.104599
6. Balakrishnan N, So H Y, Ling MH. EM algorithm for one-shot device testing with competing risks under exponential distribution. Reliability Engineering and System Safety 2015;137:129-140.https://doi.org/10.1016/j.ress.2014.12.014
7. Betz W, Papaioannou I, Straub D. Bayesian post-processing of Monte Carlo simulation in reliability analysis. Reliability Engineering and System Safety 2022;227:108731.https://doi.org/10.1016/j.ress.2022.108731
8. Chen J, Qian C. Loading history dependence of retardation time of calcium-silicate-hydrate. Construction and Building Materials 2017;147:558-565.https://doi.org/10.1016/j.conbuildmat.2017.04.183
9. Chen S, Lu L, Xiang Y, Lu Q, Li M. A data heterogeneity modeling and quantification approach for field pre-assessment of chloride-induced corrosion in aging infrastructures. Reliability Engineering and System Safety 2018;171:123-135.https://doi.org/10.1016/j.ress.2017.11.013
10. Collepardi M, Marcialis A, Turriziani R. Penetration of chloride ions into cement pastes and concretes. Journal of the American Ceramic Society 1972;55(10):534-535.https://doi.org/10.1111/j.1151-2916.1972.tb13424.x
11. Crank J. The mathematics of diffusion, 2nd ed. London: Oxford University Press, 1975.
12. Dembińska A, Eryilmaz S. Discrete time series-parallel system and its optimal configuration. Reliability Engineering and System Safety 2021;215:107832.https://doi.org/10.1016/j.ress.2021.107832
13. Ding H, Chen J. Research on the resistivity attenuation law of cementitious conductive composites induced by stress relaxation. Construction and Building Materials 2019;206:347-354.https://doi.org/10.1016/j.conbuildmat.2019.02.075
14. El Hajj Chehade F, Younes R, Mroueh H, Hage Chehade F. Time-dependent reliability analysis for a set of RC T-beam bridges under realistic traffic considering creep and shrinkage. European Journal of Environmental and Civil Engineering2022;26(13): 6480-6504.https://doi.org/10.1080/19648189.2021.1946720
15. El Hassan J, Bressolette P, Chateauneuf A, El Tawil K. Reliability-based assessment of the effect of climatic conditions on the corrosion of RC structures subject to chloride ingress. Engineering Structures 2010;32(10):3279-3287.https://doi.org/10.1016/j.engstruct.2010.07.001
16. Erlang AK. Solution of some problems in the theory of probabilities of significance in automatic telephone exchanges. Post Office Electrical Engineer’s Journal, 1917;10:189-197.
17. Fan X, Zhou H, Liu Y. Time-Dependent Reliability Analysis of RC Bridges Considering Shrinkage, Creep, Resistance Degradation, and Vehicle Load Flows. Advances in Civil Engineering 2023;2023: 5111719.https://doi.org/10.1155/2023/5111719
18. Francesco D M, Matteo F, Carlo G, Federico P, Enrico Z. Time-dependent reliability analysis of the reactor building of a nuclear power plant for accounting of its aging and degradation. Reliability Engineering and System Safety 2021;205:107173.https://doi.org/10.1016/j.ress.2020.107173
19. Gjorv O E. Durability of concrete structures. Arabian Journal for Science and Engineering 2011;36(2):151-172.https://doi.org/10.1007/s13369-010-0033-5
20. Guo H, Jiang C, Gu X, Dong Y, Zhang W. Time-dependent reliability analysis of reinforced concrete beams considering marine environmental actions. Engineering Structures 2023;288:116252.https://doi.org/10.1016/j.engstruct.2023.116252
21. Hong H P. Selection of regressand for fitting the extreme value distributions using the ordinary, weighted and generalized least-squares methods. Reliability Engineering and System Safety 2013;118:71-80.https://doi.org/10.1016/j.ress.2013.04.003
22. Hong N. Corrosion and protective technology of rebar in concrete (3): Rebar corrosion by chloric salt. Industrial Construction 1999; 29(10):60-63.
23. Kassir MK, Ghosn M. Chloride-induced corrosion of reinforced concrete bridge decks. Cement and Concrete Research 2002;32(1):139-143.https://doi.org/10.1016/S0008-8846(01)00644-5
24. Kim J, McCarter W J, Suryanto B, Nanukuttan S, Basheer PAM, Chrisp TM. Chloride ingress into marine exposed concrete: A comparison of empirical-and physically-based models. Cement and Concrete Composites 2016;72:133-145.https://doi.org/10.1016/j.cemconcomp.2016.06.002
25. Li J, Chen J. Solving time-variant reliability-based design optimization by PSO-t-IRS: A methodology incorporating a particle swarm optimization algorithm and an enhanced instantaneous response surface. Reliability Engineering and System Safety 2019;191:106580.https://doi.org/10.1016/j.ress.2019.106580
26. Li J, Chen J, Chen Z. Developing an improved composite limit state method for time-dependent reliability analysis. Quality Engineering 2020;32(3):298-311.https://doi.org/10.1080/08982112.2020.1735004
27. Li J, Chen J, Chen Z. A new cumulative damage model for time-dependent reliability analysis of deteriorating structures. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 2020;234(2):290-302.https://doi.org/10.1177/1748006X19886157
28. Li J, Chen J, Wei J, Yang X. Temporal-spatial reliability analysis of RC bridges with corroded steel reinforcement bars. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 2022;236(23):11345-11357.https://doi.org/10.1177/09544062221105985
29. Li J, Chen J, Wei J, Yang X. A Kriging-based important region sampling method for efficient reliability analysis. Quality Technology and Quantitative Management 2023;20(3):360-383.https://doi.org/10.1080/16843703.2022.2116265
30. Li J, Chen J, Wei J, Zhang X, Han B. Developing an instantaneous response surface method t-IRS for time-dependent reliability analysis. Acta Mechanica Solida Sinica 2019;32(4):446-462.https://doi.org/10.1007/s10338-019-00096-5
31. Li J, Chen J, Zhang X. Time-dependent reliability analysis of deteriorating structures based on Phase-type distributions. IEEE Transactions on Reliability 2020;69(2):545-557.https://doi.org/10.1109/TR.2019.2907307
32. Li Q, Ye X. Surface deterioration analysis for probabilistic durability design of RC structures in marine environment. Structural Safety 2018;75:13-23.https://doi.org/10.1016/j.strusafe.2018.05.007
33. Liu B, Wen Y, Qiu Q, Shi H, Chen J. Reliability analysis for multi-state systems under K-mixed redundancy strategy considering switching failure. Reliability Engineering and System Safety 2022;228:108814.https://doi.org/10.1016/j.ress.2022.108814
34. Lu C H, Gao Y, Cui Z W, Liu R G. Experimental analysis of chloride penetration into concrete subjected to drying-wetting cycle. Journal of Materials in Civil Engineering 2015;27(12):04015036.https://doi.org/10.1061/(ASCE)MT.1943-5533.0001304
35. Mangat P S, Molloy B T. Prediction of long term chloride concentration in concrete. Materials and Structures 1994;27(6):338-346.https://doi.org/10.1007/BF02473426
36. Marsh P S, Frangopol D M. Reinforced concrete bridge deck reliability model incorporating temporal and spatial variations of probabilistic corrosion rate sensor data. Reliability Engineering and System Safety 2008;93:394-409.https://doi.org/10.1016/j.ress.2006.12.011
37. Neuts M. Probability Distributions of Phase Type. E. H. Florin, Ed. Liber Amicorum, 1975.
38. Neuts M. Matrix-geometric solutions in stochastic models: an algorithmic approach. Baltimore, Md: Johns Hopkins University Press, 1981.
39. Okamura H, Dohi T, Osaki S. Software reliability growth models with normal failure time distributions. Reliability Engineering and System Safety 2013;116:135-141.https://doi.org/10.1016/j.ress.2012.02.002
40. Otieno M B, Beushausen H D, Alexander M G. Modelling corrosion propagation in reinforced concrete structures-A critical review. Cement and Concrete Composites 2011;33(2):240-245.https://doi.org/10.1016/j.cemconcomp.2010.11.002
41. Pack S W, Jung M S, Song H W, Kim S H, Ann K Y. Prediction of time dependent chloride transport in concrete structures exposed to a marine environment. Cement and Concrete Research2010;40(2):302-312.https://doi.org/10.1016/j.cemconres.2009.09.023
42. Pugliese F, De Risi R, Di Sarno L. Reliability assessment of existing RC bridges with spatially-variable pitting corrosion subjected to increasing traffic demand. Reliability Engineering and System Safety 2022;218:108137.https://doi.org/10.1016/j.ress.2021.108137
43. Riascos-Ochoa J, Sanchez-Silva M, Akhavan-Tabatabaei R. Reliability analysis of shock-based deterioration using phase-type distributions. Probabilistic Engineering Mechanics 2014; 38:88-101.https://doi.org/10.1016/j.probengmech.2014.09.004
44. Saassouh B, Lounis Z. Probabilistic modeling of chloride-induced corrosion in concrete structures using first-and second-order reliability methods. Cement and Concrete Composites 2012;34(9):1082-1093.https://doi.org/10.1016/j.cemconcomp.2012.05.001
45. Shamstabar Y, Shahriari H, Samimi Y. Reliability monitoring of systems with cumulative shock-based deterioration process. Reliability Engineering and System Safety 2021;216:107937.https://doi.org/10.1016/j.ress.2021.107937
46. Shao W, Nie Y, Liang F, Shi D. A novel comprehensive evaluation method for the corrosion initiation life of RC hollow piles in chloride environments. Construction and Building Materials 2020;249:118801.https://doi.org/10.1016/j.conbuildmat.2020.118801
47. Shao W, Shi D, Tang P. Probabilistic Lifetime Assessment of RC Pipe Piles Subjected to Chloride Environments. Journal of Materials in Civil Engineering 2018;30(11):04018297.https://doi.org/10.1061/(ASCE)MT.1943-5533.0002512
48. Shim H S.Corner effect on chloride ion diffusion in rectangular concrete media.KSCE Journal of Civil Engineering2002;6:19-24.https://doi.org/10.1007/BF02829036
49. Shuto S, Amemiya T. Sequential Bayesian inference for Weibull distribution parameters with initial hyperparameter optimization for system reliability estimation. Reliability Engineering and System Safety 2022;224:108516.https://doi.org/10.1016/j.ress.2022.108516
50. Stambaugh N D, Bergman T L, Srubar W V. Numerical service-life modeling of chloride-induced corrosion in recycled-aggregate concrete. Construction and Building Materials 2018;161:236-245.https://doi.org/10.1016/j.conbuildmat.2017.11.084
51. Steele C. Use of the lognormal distribution for the coefficients of friction and wear. Reliability Engineering and System Safety 2008;93(10):1574-1576.https://doi.org/10.1016/j.ress.2007.09.005
52. Stehlík M. Homogeneity and scale testing of generalized gamma distribution. Reliability Engineering and System Safety 2008;93(12):1809-1813.https://doi.org/10.1016/j.ress.2008.03.012
53. Sun B, Gardoni P. Directional search algorithm for hierarchical model development and selection. Reliability Engineering and System Safety 2019;182:194-207.https://doi.org/10.1016/j.ress.2018.09.013
54. Thomas M D A, BamforthPB. Modelling chloride diffusion in concrete: Effect of fly ash and slag. Cement and Concrete Research 1999;29(4):487-495.https://doi.org/10.1016/S0008-8846(98)00192-6
55. Thummler A, Buchholz P, Telek M. A Novel Approach for Phase-Type Fitting with the EM Algorithm. IEEE Transactions on Dependable and Secure Computing 2006;3(3):245-258.https://doi.org/10.1109/TDSC.2006.27
56. Val D V, Trapper P A. Probabilistic evaluation of initiation time of chloride-induced corrosion. Reliability Engineering and System Safety 2008;93:364-372.https://doi.org/10.1016/j.ress.2006.12.010
57. Wang X, Ning R, Zhao X, Zhou J. Reliability analyses of k-out-of-n: F capability-balanced systems in a multi-source shock environment. Reliability Engineering and System Safety 2022;227:108733.https://doi.org/10.1016/j.ress.2022.108733
58. Wang X, Zhao X, Wu C, Wang S. Mixed shock model for multi-state weighted k-out-of-n: F systems with degraded resistance against shocks. Reliability Engineering and System Safety 2022;217:108098.https://doi.org/10.1016/j.ress.2021.108098
59. Wang Y, Wu L, Wang Y, Li Q, Xiao Z. Prediction model of long-term chloride diffusion into plain concrete considering the effect of the heterogeneity of materials exposed to marine tidal zone. Construction and Building Materials 2018;159:297-315.https://doi.org/10.1016/j.conbuildmat.2017.10.083
60. Weyers R E, Pyc W, Sprinkel M M, Kirkpatrick T J. Bridge deck cover depth specifications. Concrete International 2003;25(2):61-64.
61. Wu L, Li W, Yu X. Time-dependent chloride penetration in concrete in marine environments. Construction and Building Materials 2017;152:406-413.https://doi.org/10.1016/j.conbuildmat.2017.07.016
62. Xiao C. Corrosion of reinforcement in concrete and number theory simulation. Beijing: Tsinghua University, 1995.
63. Xu C, Wang C K, Jin W L. Interaction Effect of Chloride Attack and Carbonization in Concrete. Journal of Building Materials 2011;14(3):376-380.https://doi.org/10.3969/j.issn.1007-9629.2011.03.017
64. Xu D, Xiao X, Haibo Y. Reliability Evaluation of Smart Meters Under Degradation-Shock Loads Based on Phase-Type Distributions. IEEE Access 2020;8:39734-39746.https://doi.org/10.1109/ACCESS.2020.2976200
65. Yang Y, Li H. Time-dependent reliability calculation method of RC bridges based on the dual neural network. Soft Computing 2023;27:8855-8866.https://doi.org/10.1007/s00500-022-07763-9
66. Yao W, Chen X, Huang Y, van Tooren M. An enhanced unified uncertainty analysis approach based on first order reliability method with single-level optimization. Reliability Engineering and System Safety 2013;116:28-37.https://doi.org/10.1016/j.ress.2013.02.014
67. Yeh WC. Novel self-adaptive Monte Carlo simulation based on binary-addition-tree algorithm for binary-state network reliability approximation. Reliability Engineering and System Safety 2022;228:108796.https://doi.org/10.1016/j.ress.2022.108796
68. Yu B, Ning C, Li B. Probabilistic durability assessment of concrete structures in marine environments: reliability and sensitivity analysis. China Ocean Engineering 2017;31(1):63-73.https://doi.org/10.1007/s13344-017-0008-3
69. Zhang H. Durability reliability analysis for corroding concrete structures under uncertainty. Mechanical Systems and Signal Processing 2018;101:26-37.https://doi.org/10.1016/j.ymssp.2017.08.027
70. Zhang X, Wang J, Zhao Y, Tang L, Xing F. Time-dependent probability assessment for chloride induced corrosion of RC structures using the third-moment method. Construction and Building Materials 2015;76:232-244.https://doi.org/10.1016/j.conbuildmat.2014.10.039
71. Zhang Z, Jiang C, Wang GG, Han X. First and second order approximate reliability analysis methods using evidence theory. Reliability Engineering and System Safety 2015;137:40-49.https://doi.org/10.1016/j.ress.2014.12.011

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-7e67e9d9-52ab-4e54-bb82-b3a56fb63b37