Probability calculation of rebars corrosion in reinforced concrete using css algorithms

Abstract

Reinforcement inside the concrete is protected from corrosion and its damages until several years after the construction. After corrosion initiation, the cross section of reinforcement begins to reduce and often load bearing of the reinforced concrete structure will be reduced significantly. Corrosion of reinforcements in concrete in polluted and contaminated areas can occur in two ways: chloride and carbonation. In this work, meta-heuristic approach of charged system search (CSS) is used to calculate corrosion occurrence probability due to chloride ions penetration. The model efficiency is verified by comparing the available examples in technical literature and results of Monte Carlo analysis. According to the analyses performed, using different probabilistic distributions regardless of probabilistic moments based on real distribution leads to diverse results. In addition, influence of each effective parameter in corrosion occurrence varies by changing other parameters.

Keywords

reinforced concrete / reliability index / chloride diffusion / carbonation / charged system search (CSS) optimization

References

[1] BroomfieldJ PCorrosion of steel in concrete: Understanding, investigation and repair. [M], 2006New YorkTaylor & Francis e-Library

[2] BertoliniL, ElsenerB, PedeferriP, PolderRCorrosion of steel in concrete [M], 2004WeinheimWiley-VCH Verlag GmbH & Co. KGaA

[3] AmlehL, MirzaM S. Corrosion influence on bond between steel and concrete [J]. ACI Structural Journal, 1999415-423

[4] BaroneG, FrangopolD M. Reliability, risk and lifetime distributions as performance indicators for life-cycle maintenance of deteriorating structures [J]. Reliability Engineering & System Safety, 2014, 123: 21-37

[5] ZhangX, WangJ, ZhaoY, TangL, XingF. Time-dependent probability assessment for chloride induced corrosion of RCstructures using the third-moment method. [J]. Construction and Building Materials, 2015, 76: 232-244

[6] PapakonstantinouK G, ShinozukaM. Probabilistic model for steel corrosion in reinforced concrete structures of large dimensions considering crack effects [J]. Engineering Structures, 2013, 57(0): 306-326

[7] NogueiraC G, LeonelE D. Probabilistic models applied to safety assessment of reinforced concrete structures subjected to chloride ingress [J]. Engineering Failure Analysis, 2013, 31(0): 76-89

[8] ChiuC-k, LinY-fong. Multi-objective decision-making supporting system of maintenance strategies for deteriorating reinforced concrete buildings [J]. Automation in Construction, 2014, 39: 15-31

[9] Bastidas-ArteagaE, SchoefsF, StewartM G, WangX. Influence of global warming on durability of corroding^RCstructures: A probabilistic approach [J]. Engineering Structures, 2013, 51(0): 259-266

[10] Bastidas-ArteagaE, StewartM G. Damage risks and economic assessment of climate adaptation strategies for design of new concrete structures subject to chloride-induced corrosion [J]. Structural Safety, 2015, 52: 40-53

[11] StewartM G, StewartM G, WangX, NguyenM N. Climate change adaptation for corrosion control of concrete infrastructure [J]. Structural Safety, 2012, 35(0): 29-39

[12] ChiuC K, TuF C, FanC Y. Risk assessment of environmental corrosion for reinforcing steel bars embedded in concrete in Taiwan [J]. Natural Hazards, 2015, 75(1): 581-611

[13] HanS-h, ParkW-s, YangE-ikEvaluation of concrete durability due to carbonation in harbor concrete structures [J], 2013, 48: 1045-1049

[14] RyanP C, O’ConnorA J. Probabilistic analysis of the time to chloride induced corrosion for different self-compacting concretes [J]. Construction and Building Materials, 2013, 47: 1106-1116

[15] KavehA, TalatahariS. A novel heuristic optimization method: Charged system search [J]. Acta Mech, 2010, 213: 267-289

[16] KavehA, TalatahariS. Optimal design of skeletal structures via the charged system search algorithm [J]. Struct Multidisc Optim, 2010, 41: 893-911

[17] HasoferA M, LindN C. Exact and invariant second-moment code format [J]. Eng Mech Div, ASCE, 2010, 100: 111-121

[18] BermanH A. Sodium chloride, corrosion of reinforcing steel, and the pH of calcium hydroxides solution [J]. ACI Journal, 1975587-598

[19] UhligHCorrosion and corrosion control [M], 1963New YorkJohn Wiley & Sons Inc.

[20] CrankJThe mathematics of diffusion [M], 1975LondonOxford University Press

[21] BasheerL, KroppJ, ClelanD J. Assessment of the durability of concrete from its permeation properties: A review [J]. Construction and Building Materials, 2001, 15: 93-103

[22] SarjaA, VesikariE. Durability design of concrete structures [R]. Report of RIREM Technical Committee 130-CSL, 1996

[23] HAKKINEN T. Influence of cementing materials on the permeability of concrete [M]. Espoo: Technical Research Centre of Finland.

[24] ClearKC. Chloride at the threshold [R]. Report of Kenneth C. Clear Inc., 1983

[25] SchiesslPRILEM committee 60-CSG, corrosion of steel in concrete [R], 1987LondonChapman and Hall

[26] DupratF. Reliability of RCbeams under chloride ingress [J]. Construction and Building Materials, 2007, 21(8): 1605-1616

[27] EnrightM P, FrangopolD M. Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion [J]. Engineering Structures, 1998, 20(11): 960-971

[28] SaassouhB, LounisZ. Probabilistic modeling of chlorideinduced corrosion in concrete structures using first- and second-order reliability methods [J]. Cement and Concrete Composites, 2012, 34(9): 1082-1093

[29] OddEDurability design of concrete structures in severe environments [M], 2008New YorkTaylor & Francis e-Library

[30] RanganathanRReliability analysis and design structures [M], 1990New YorkTata McGraw-Hill Publishing Company Limited

[31] ChoiS K, GrandhiR V, CanfieldR AReliability-based structural design [M], 2007LondonSpringer-Verlag

[32] BenjaminJ R, CornellC AProbability, statistics, and decision for civil engineers [M], 1970New YorkMcGraw-Hill Book Company

[33] ChoiS K, CanfieldR A, GrandhiR V. Estimation of structural reliability for Gaussian random fields [J]. Struct Infra Struct Eng, 2006, 2: 161-73

[34] ClercMParticle swarm optimization [M], 2006LondonISTE

[35] RackwitzR, FiesslerB. Structural reliability under combined random load sequences [J]. Computers and Structures, 1978, 9: 489-494