Recently, the optimization issue relevance of reinforced concrete (RC) structures design solutions through the maximum use of their bearing capacity resource has increased significantly; in turn, solving this issue depends on a fundamental understanding of the reliability and durability concepts. Because any loads, impacts, or bearing capacity reserve parameters are random variables, there is a need to build stochastic models, which can become the “reliability design” concept base shortly.
Among other things, this review article is devoted to the Monte Carlo methods features analysis in terms of their use in the RC members’ reliability assessment tasks. Based on a modern literary sources review, recommendations for further studies of the RC structures’ reliability and durability (including damaged ones) under the conditions of the combined action of loads and a corrosive environment (using Monte Carlo methods) were also formulated.
Tytarenko, R., Khmil, R., Selejdak, J., & Vashkevych, R. (2023). Probabilistic durability assessment of RC structures in operation: an analytical review of existing methods. Lecture Notes in Civil Engineering, 290, 408-415. DOI: https://doi.org/10.1007/978-3-031-14141-6_41
https://doi.org/10.1007/978-3-031-14141-6_41
Ditlevsen, O., & Madsen, H. O. (2005). Structural Reliability Methods: Monograph (Internet ed. 2.2.5.). Lyngby: Technical University of Denmark. URL: http://od-website.dk/books/OD-HOM-StrucRelMeth-Ed2.3.7.pdf
Raizer, V. D. (1998). Theory of reliability in structural design: Monograph. Moscow: ASV (in Russian). URL: https://dwg.ru/dnl/6899
Khmil, R. Ye., Tytarenko, R. Yu., Blikharskyy, Ya. Z., & Vegera, P. I. (2021). Improvement of the method of probability evaluation of the failure-free operation of reinforced concrete beams strengthened under load. IOP Conference Series: Materials Science and Engineering, 1021(1), 012014. DOI: https://doi.org/10.1088/1757-899X/1021/1/012014
https://doi.org/10.1088/1757-899X/1021/1/012014
Schiessl, P. (2005). New approach to service life design of concrete structure. Asian Journal of Civil Engineering (Building and Housing), 6(5), 393-407. URL: https://scholar.google.com.ua/schhp?hl=uk
Van Coile, R., Caspeele, R., & Taerwe, L. (2014). The mixed lognormal distribution for a more precise assessment of the reliability of concrete slabs exposed to fire. Safety, Reliability and Risk Analysis: Beyond the Horizon - Proceedings of the European Safety and Reliability Conference (ESREL 2013), 2693-2699. London: Taylor & Francis Group. URL: https://scholar.google.com.ua/schhp?hl=uk
https://doi.org/10.1201/b15938-407
Nogueira, C. G., Leonel, E. D., & Coda, H. B. (2012). Reliability algorithms applied to reinforced concrete structures durability assessment. IBRACON Structures and Materials Journal, 5(4), 440-450. DOI: https://doi.org/10.1590/S1983-41952012000400003
https://doi.org/10.1590/S1983-41952012000400003
Conciatori, D., Bruhwiler, E., & Morgenthaler, S. (2009). Calculation of reinforced concrete corrosion initiation probabilities using the Rosenblueth method. International Journal of Reliability and Safety, 3(4), 345-362. DOI: https://doi.org/10.1504/IJRS.2009.028581
https://doi.org/10.1504/IJRS.2009.028581
Guo, H., Jiang, C., Gu, X., Dong, Y., & Zhang, W. (2023). Time-dependent reliability analysis of reinforced concrete beams considering marine environmental actions. Engineering Structures, 288, 116252. DOI: https://doi.org/10.1016/j.engstruct.2023.116252
https://doi.org/10.1016/j.engstruct.2023.116252
Pellizzer, G. P., Leonel, E. D., & Nogueira, C. G. (2015). Influence of reinforcement's corrosion into hyperstatic reinforced concrete beams: a probabilistic failure scenarios analysis. IBRACON Structures and Materials Journal, 8(4), 479-490. https://doi.org/10.1590/S1983-41952015000400004
https://doi.org/10.1590/S1983-41952015000400004
Şengül, Ö. (2011). Probabilistic design for the durability of reinforced concrete structural elements exposed to chloride containing environments. Teknik Dergi, 22(2), 5409-5423. URL: https://dergipark.org.tr/en/pub/tekderg/issue/12749/155174
Yuan, W., Wu, X., Wang, Y., Liu, Z., & Zhou, P. (2023). Time-dependent seismic reliability of coastal bridge piers subjected to nonuniform corrosion. Materials, 16(3), 1029. DOI: https://doi.org/10.3390/ma16031029
https://doi.org/10.3390/ma16031029
MacGregor, J. G., Mirza, S. A., & Ellingwood, B. (1983). Statistical analysis of resistance of reinforced and prestressed concrete members. Journal of the American Concrete Institute, 80(3), 167-176. DOI: https://doi.org/10.14359/10715
https://doi.org/10.14359/10715
Hosseini, A. R. M., Razzaghi, M. S., & Shamskia, N. (2023). Probabilistic seismic safety assessment of bridges with random pier scouring. Proceedings of the Institution of Civil Engineers: Structures and Buildings. DOI: https://doi.org/10.1680/jstbu.23.00014
https://doi.org/10.1680/jstbu.23.00014
Jitao, Y., Liuzhuo, C., Jun, G., & Ren, X. (2019). Structural durability and concept system of structural reliability. IOP Conference Series: Earth and Environmental Science, 340(5), 052035. DOI: https://doi.org/10.1088/1755-1315/304/5/052035
https://doi.org/10.1088/1755-1315/304/5/052035
Vořechovská, D., Šomodíková, M., Podroužek, J., Lehký, D., & Teplý, B. (2017). Concrete structures under combined mechanical and environmental actions: modelling of durability and reliability. Computers and Concrete, 20(1), 99-110. DOI: https://doi.org/10.12989/cac.2017.20.1.99
Wang, C., Li, Q., & Ellingwood, B. R. (2016). Time-dependent reliability of ageing structures: an approximate approach. Structure and Infrastructure Engineering, 12(12), 1566-1572. DOI: https://doi.org/10.1080/15732479.2016.1151447
https://doi.org/10.1080/15732479.2016.1151447
Akhavan Kazemi, M., Hoseini Vaez, S. R., & Fathali, M. A. (2023). European Journal of Environmental and Civil Engineering, 27(5), 1876-1896. DOI: https://doi.org/10.1080/19648189.2022.2102082
https://doi.org/10.1080/19648189.2022.2102082
Huang, Y., Yan, D., Yang, Z., & Liu, G. (2016). 2D and 3D homogenization and fracture analysis of concrete based on in-situ X-ray Computed Tomography images and Monte Carlo simulations. Engineering Fracture Mechanics, 163, 37-54. DOI: https://doi.org/10.1016/j.engfracmech.2016.06.018
https://doi.org/10.1016/j.engfracmech.2016.06.018
Wang, J., Wang, Y., Zhang, Y., Liu, Y., & Shi, C. (2022). Life cycle dynamic sustainability maintenance strategy optimization of fly ash RC beam based on Monte Carlo simulation. Journal of Cleaner Production, 351, 131337. DOI: https://doi.org/10.1016/j.jclepro.2022.131337
https://doi.org/10.1016/j.jclepro.2022.131337
Badal, P. S., & Tesfamariam, S. (2023). Seismic resilience of typical code-conforming RC moment frame buildings in Canada. Earthquake Spectra, 39(2), 748-771. DOI: https://doi.org/10.1177/87552930221145455
https://doi.org/10.1177/87552930221145455
Wang, J., Wu, Z., & Ye, X. (2023). Time-dependent reliability assessment of a simply supported girder bridge based on the third-moment method. Structures, 50, 1353-1367. DOI: https://doi.org/10.1016/j.istruc.2023.02.030
https://doi.org/10.1016/j.istruc.2023.02.030
Zhang, Y., Xu, J., & Beer, M. (2023). A single-loop time-variant reliability evaluation via a decoupling strategy and probability distribution reconstruction. Reliability Engineering & System Safety, 232, 109031. DOI: https://doi.org/10.1016/j.ress.2022.109031
https://doi.org/10.1016/j.ress.2022.109031