Abstract
Aiming at the problem that the reliability analysis of the outdoor exposed concrete structure under the action of a single factor is not consistent with the actual service environment, a reliability analysis based on the Copula function describing multiple degradation factors is proposed. According to the actual data collected on-site, the relative quality evaluation parameters (RQEP) and relative dynamic elastic modulus evaluation parameters (RDEMEP) was selected as the key degradation indicators, and the Aperture Information Criterion (AIC) was used to determine the optimal marginal distribution function in different degradation trajectories, and obtain the most optimal edge distribution function under a single factor. Optimize the edge distributions reliability curve, establish the relationship between the edge distributions through the Copula function, and couple the edge distributions of the remaining life of the concrete to obtain the joint reliability function of the concrete under the action of the coupling factors. The results show that the selection of two degradation indicators, RQEP and RDEMEP, is helpful in establishing the concrete life prediction model in the field exposure environment, and the RDEMEP are more sensitive to the field exposure environment than the RQEP The Gumbel Copula distribution function can reasonably predict the reliability of exposed concrete on-site under dual coupling factors. The service life of C40 and C50 exposed concrete on site is about 400 and 550 months, respectively.
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References
Bergman TL, Lavine AS, Incropera FP, DeWitt DP (2011) Fundamentals of heat and mass transfer, 7th edition. John Wiley & Sons, Inc., New York, NY, USA, 166–179
Chen JB, Tao JJ, Ren XD, Li J (2020) Research on the dependence between parameters in complete stress-strain constitutive curve of concrete based on copula theory. China Civil Engineering Journal 53(7):52–63, DOI: https://doi.org/10.15951/j.tmgcxb.2020.07.004 (in Chinese)
Foraboschi P (2015) Analytical model to predict the lifetime of concrete members externally reinforced with FRPC. Theoretical and Applied Fracture Mechanics 75:137–145, DOI: https://doi.org/10.1016/j.tafmec.2014.12.002
Ghosh S (2010) Modelling bivariate rainfall distribution and generating bivariate correlated rainfall data in neighbouring meteorological subdivisions using copula. Hydrological Processes 24(24):3558–3567, DOI: https://doi.org/10.1002/hyp.7785
Guo XK, Qiao HX, Zhu BR (2019) Accelerated life testing of concrete based on three-parameter Weibull stochastic approach. KSCE Journal of Civil Engineering 23(4):1682–1690, DOI: https://doi.org/10.1007/s12205-019-0995-0
He QX, Zhang H, Zheng M (2009) Research of the risk of the portifolio cluding index future — The application of copula method to the financial risk management. Application of Statistics and Management 28(1):159–166, DOI: https://doi.org/10.13860/j.cnki.sltj.2009.01.024 (in Chinese)
Kolo DN, Aguwa JI, Tsado TY, Abdullahi M, Yusuf A, Oritola SF (2021) Reliability studies on reinforced concrete beam subjected to bending forces with natural stone as coarse aggregate. Asian Journal of Civil Engineering 22(3):485–491, DOI: https://doi.org/10.1007/s42107-020-00327-y
Kumar A, Chakrabarti A, Bhargava P, Chowdhury R (2015) Probabilistic failure analysis of laminated sandwich shells based on higher order zigzag theory. Journal of Sandwich Structures and Materials 17(5):546–561, DOI: https://doi.org/10.1177/1099636215577368
Li J, Gao RF (2019) Fatigue reliability analysis of concrete structures based on physical synthesis method. Probabilistic Engineering Mechanics 56:14–26, DOI: https://doi.org/10.1016/j.probengmech.2019.02.003
Li JC, Qiao HX, Zhu FF (2019) Reliability analysis of freeze-thaw damage of fiber reinforced concrete based on miner theory. Emerging Materials Research 8(3):1–7, DOI: https://doi.org/10.1680/jemmr.19.00028
Liu B, An Z (2013) System reliability analysis of wind turbine gearbox considering component life dependency. Journal of Mechanical Engineering 49(6):89–96, DOI: https://doi.org/10.3901/JME.2015.10.164 (in Chinese)
Liu SN, Lu NY, Chen YH (2015) Remaining lifetime prediction for momentum wheel based on multiple degradation parameters. Journal of Nanjing University of Aeronautics & Astronautics 47(3):360–366, DOI: https://doi.org/10.16356/j.1005-2615.2015.03.007 (in Chinese)
Liu GY, Mu S, Cai JS, Xie DQ, Zhou Y, Zhou XC (2021) Influence of crack on concrete damage in salt-freezing environment. Advances in Materials Science and Engineering 2021:1–13, DOI: https://doi.org/10.1155/2021/5543286
Lu CG, Wei ZQ, Qiao HX, Li K (2021) Reliability life analysis of reinforced concrete in salt corrosion environment based on 3-parameter Weibull distribution. Journal of Engineering Science 12(03):71–78, DOI: https://doi.org/10.13374/j.issn2095-9389.2020.03.04.001 (in Chinese)
Mishra BB, Kumar A, Samui P, Roshni T (2021) Buckling of laminated composite skew plate using FEM and machine learning methods. Engineering Computations 38(1):501–528, DOI: https://doi.org/10.1108/EC-08-2019-0346
Ni ZH, Liu HX, Luo YL (2014) Copula application in precipitation probability forecast of flood disasters in Guangxi. Journal of Meteorological Research and Application 35(2):32–39
Pan X, Wang LL, Xu YQ (2014) A wind farm power modelling method based on mixed copula. Automation of Electric Power Systems 38(14):17–22, DOI: https://doi.org/10.7500/AEPS20130506008 (in Chinese)
Qiao HX, Feng Q, Wei ZQ, Zhu BR, Wang PH, Lu CG (2020a) Study of lifetime prediction of concrete in western region based on Weibull distribution. Journal of Basic Science and Engineering 28(4):993–1005, DOI: https://doi.org/10.16058/j.issn.1005-0930.2020.04.020 (in Chinese)
Qiao HX, Fu Y, Lu CG, Guo F (2020b) Research on durability of concrete accelerated test based on wiener degradation. Bulletin of the Chinese Ceramic Society 39(11):3496–3502, DOI: https://doi.org/10.16552/j.cnki.issn1001-1625.20200805.001 (in Chinese)
Tang HS, Chen SS, Xue ST (2019) Uncertainty analysis in fatigue life prediction of self-compacting steel fiber reinforced concrete using evidence theory. Journal of Harbin Engineering University 40(10): 1729–1734 (in Chinese)
Wang C, Ge GH, Hou JG, Li L, Wan RX (2017) Research on the durability status and influencing factors of concrete structures in southern Xinjiang. Journal of Wuhan University (Engineering Science Edition) 65(3):447–453, DOI: https://doi.org/10.14188/j.1671-8844.2017-03-020 (in Chinese)
Wu QY, Ma QY, Huang XW (2021) Mechanical properties and damage evolution of concrete materials considering sulfate attack. Materials 14(9):12–18, DOI: https://doi.org/10.3390/MA14092343
Wu ZY, Yu HF, Ma HY, Feng TT, Da B (2019) Service life prediction of large-volume slag concrete structures based on reliability in ocean splash areas. Materials Report 33(2):264–270, DOI: https://doi.org/10.11896/cldb.201902012 (in Chinese)
Xing J, Tang XS, Li DQ, Zhao YF (2016) Copula method for the construction of two-dimensional distribution model of shear strength parameters of rock foundations in water conservancy and hydropower engineering. Rock and Soil Mechanics 37(3):783–792, DOI: https://doi.org/10.16285/j.rsm.2016.03.022 (in Chinese)
Yang H, He HX, Yan WM (2019) Time-varying reliability of beam bridges considering carbonization and chloride accumulation effects. Journal of Harbin Institute of Technology 51(6):71–78, DOI: https://doi.org/10.11918/j.issn.0367-6234.201805012 (in Chinese)
Yang C, Huang D, Zhang YX, Wu JH (2013) Rock mass shear strength parameter estimation based on copula theory. Chinese Journal of Rock Mechanics and Engineering 32(12):2463–2470 (in Chinese)
Yin HL, Yang XH, Lu H (2015) New bayes method for reliability assessment of Wiener process performance degradation products. Journal of Tongji University (Natural Science Edition) 43(8):1234–1238 (in Chinese)
Zhang L, Dang FN, Ding WH, Zhu L (2020) Quantitative study of meso-damage process on concrete by CT technology and improved differential box counting method. Measurement 160:107832, DOI: https://doi.org/10.1016/j.measurement.2020.107832
Zhang L, Su XP (2014) Comparison and selection of the durability evaluating parameters of concrete in saline soil region. Advanced Materials Research 3149:1751–1754, DOI: https://doi.org/10.4028/www.scientific.net/AMR.919-921.1751
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The authors wish to acknowledge the financial support from China’s National Natural Science Foundation No. 51168031 and 51868044.
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Fu, Y., Qiao, H., Lu, C. et al. Durability Model of Exposed Concrete On-Site Based on Dual Coupling Factors. KSCE J Civ Eng 26, 298–309 (2022). https://doi.org/10.1007/s12205-021-0412-3
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DOI: https://doi.org/10.1007/s12205-021-0412-3