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Modeling of Chloride Ion Diffusion in Concrete under Fatigue Loading

  • Structural Engineering
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KSCE Journal of Civil Engineering Aims and scope

Abstract

It is common for reinforced concrete in the saline region to bear fatigue loading and chloride induced corrosion, which has become one of the main causes of structural failure of reinforced concrete. The objective of this paper is to investigate the characteristics of chloride ion transport in concrete under fatigue loading. A new theoretical model describing the chloride ion transport in saturated concrete under fatigue loading is proposed. In this model, the concrete is divided into two parts, matrix and microcrack, to characterize the chloride diffusion coefficient of concrete based on crack area. The influence of fatigue damage on the microcrack area of concrete is quantitatively analyzed and the relationship between fatigue loading and chloride diffusion coefficient is established. Then, based on Fick’s second law, the model is proposed and solved by analytical solution. Some experiments are conducted to verify the proposed model and the simulated and measured results are in good agreement with each other. Finally, the characteristics of chloride ion transport under different influencing factors are analyzed using the proposed model.

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References

  • Banthia, N., Biparva, A., and Mindess, S. (2005). “Permeability of concrete under stress.” Cement and Concrete Research, Vol. 35, No. 9, pp. 1651–1655, DOI: 10.1016/j.cemconres.2004.10.044.

    Article  Google Scholar 

  • Bastidas-Arteaga, E., Bressolette, P., Chateauneuf, A., and Sanchez-Silva, M. (2009). “Probabilistic lifetime assessment of RC structures under coupled corrosion-fatigue deterioration processes.” Structural Safety, Vol. 31, No. 1, pp. 84–96, DOI: 10.1016/j.strusafe.2008.04.001.

    Article  Google Scholar 

  • Fu, C., Ye, H., Jin, X., Yan, D., Jin, N., and Peng, Z. (2016). “Chloride penetration into concrete damaged by uniaxial tensile fatigue loading.” Construction and Building Materials, Vol. 125, pp. 714–723, DOI: 10.1016/j.conbuildmat.2016.08.096.

    Article  Google Scholar 

  • Gerard, B., Pijaudier-Cabot, G., and Laborderie, C. (1998). “Coupled diffusion-damage modelling and the implications on failure due to strain localization.” International Journal of Solids and Structures, Vol. 35, No. 31–32, pp. 4107–4120, DOI: 10.1016/S0020-7683(97) 00304–1.

    Article  MATH  Google Scholar 

  • Goctermann, P. (2000). Duracrete probabilistic performance based durability design of concrete structure: General guidelines for durability design and redesign, Report No. BE9521347/R14.

    Google Scholar 

  • Gontar, W. A., Martin Joseph, P., and Popovics John, S. (2000). “Effects of cyclic loading on chloride permeability of plain concrete.” Proc. Conf. of Eng. Mechs., ASCE, Texas, United States, pp. 95–109, DOI: 10.1061/40495(302)810.1061/40495(302)8.

    Google Scholar 

  • Jia, Y., Liu G., Gao Y., Pei J., Zhao, Y., and Zhang, J. (2018). “Degradation reliability modeling of stabilized base course materials based on a modulus decrement process.” Construction and Building Materials, Vol. 177, pp. 303–313, DOI: 10.1016/j.conbuildmat.2018.05.129.

    Article  Google Scholar 

  • Jiang, J., Sun, W., Wang, J., and Wang, C. (2010). “Resistance to chloride ion diffusion of structural concrete under bending fatigue load.” Journal of Southeast University (Natural Science Edition), Vol. 40 No. 2, pp. 362–366, DOI: 10.3969/j.issn.1001-0505.2010.02.028.

    Google Scholar 

  • Kustermann, A, Thienel, K. C., and Keuser, M. (2005). “Influence of curing methods on the formation of microcracks in High-Strength concrete.” Proc. 7th Int. Symposium on the Utilization of High-Strength/High-Performance Concrete, ACI, United States, Washington DC, Vol. 228, pp. 1282–1294.

    Google Scholar 

  • Lay, S., Scheiβl, P., and Cairns, J. (2003). Lifecon Deliverable D3.2 -Instructions on methodology and application of models for the prediction of the residual service life for classified environmental loads and types of structures in Europe, European Community.

    Google Scholar 

  • Li, F., Yuan, Y., and Li, C. Q. (2011). “Corrosion propagation of prestressing steel strands in concrete subject to chloride attack.” Construction and Building Materials, Vol. 25, No. 10, pp. 3878–3885, DOI: 10.1016/j.conbuildmat.2011.04.011.

    Article  Google Scholar 

  • Life–365 User’s Manual (2012). “Life-365 service life prediction model: and computer program for predicting the service life and life-cycle cost of reinforced concrete exposed to chlorides.” http://www.life-365.org/download/Life-365_Users_Manual.pdf.

  • Lin, G., Liu, Y., and Xiang, Z. (2010). “Numerical modeling for predicting service life of reinforced concrete structures exposed to chloride environments.” Cement and Concrete Composites, Vol. 32, No. 8, pp. 571–579, DOI: 10.1016/j.cemconcomp.2010.07.012.

    Article  Google Scholar 

  • Nakhi, A., Xie, Z., Asiz, A., Ababneh, A., and Xi, Y. (2000). “Chloride penetration in concrete under coupled hygromechanical loadings.” Proc. Conf. of Condt. Montrg. of Mater. and Strut., ASCE, Texas, United States, pp. 84–94.

    Google Scholar 

  • Ren, Y., Huang, Q., Liu, Q. Y., Sun, J. Z., and Liu, X. L. (2015). “Chloride ion diffusion of structural concrete under the coupled effect of bending fatigue load and chloride.” Materials Research Innovations, Vol. 19, pp. S1181–S1184, DOI: 10.1179/1432891715Z.0000000001400.

    Article  Google Scholar 

  • Saito, M. and Ishimori, H. (1995). “Chloride permeability of concrete under static and repeated compressive loading.” Cement and Concrete Research, Vol. 25, No. 4, pp. 803–808, DOI: 10.1016/0008-8846 (95)00070-S.

    Article  Google Scholar 

  • Shi, X., Xie, N., Fortune, K., and Gong, J. (2012). “Durability of steel reinforced concrete in chloride environments: An overview.” Construction and Building Materials, Vol. 30, pp. 125–138, DOI: 10.1016/j.conbuildmat.2011.12.038.

    Article  Google Scholar 

  • Tang, L. and Gulikers, J. (2007). “On the mathematics of timedependent apparent chloride diffusion coefficient in concrete.” Cement and Concrete Research, Vol. 37, No. 4, pp. 589–595, DOI: 10.1016/j.cemconres.2007.01.006.

    Article  Google Scholar 

  • Vidal, T., Castel, A., and François, R. (2007). “Corrosion process and structural performance of a 17 year old reinforced concrete beam stored in chloride environment.” Cement and Concrete Research, Vol. 37, No. 11, pp. 1551–1561, DOI: 10.1016/j.cemconres.2007.08.004.

    Article  Google Scholar 

  • Wang, C., Sun, W., and Jiang, J. (2012). “Chloride ion transport in fly ash mortar under action of fatigue loading.” Journal Wuhan University of Technology, Materials Science Edition, Vol. 27, No. 6, pp. 1165–1171, DOI: 10.1007/s11595-012-0623-z.

    Article  Google Scholar 

  • Wang, C. H., Sun, W., Jiang, J. Y., Han, J. D., and Ye, B. T. (2012). “Chloride ion transport performance in slag mortar under fatigue loading.” Science China Technological Sciences, Vol. 55, No. 5, pp. 1359–1364, DOI: 10.1007/s11431-011-4688-2.

    Article  Google Scholar 

  • Wang, C., Sun, W., Jing, J., Han, J., and Rong, H. (2012). “The transport properties of concrete under the simultaneous coupling of fatigue load and environment factors.” Journal Wuhan University of Technology, Materials Science Edition, Vol. 27, No. 1, pp. 181–186, DOI: 10.1007/s11595-012-0432-4.

    Article  Google Scholar 

  • Xiang, T. and Zhao, R. (2007). “Reliability evaluation of chloride diffusion in fatigue damaged concrete.” Engineering Structures, Vol. 29, No. 7, pp. 1539–1547, DOI: 10.1016/j.engstruct.2006.09.002.

    Article  Google Scholar 

  • Xiong, J. B. and Deng, C. L. (2015). “Durability design of marine concrete structure considering the influence of load.” Applied Mechanics and Materials, Vols. 744–746, pp. 59–64, DOI: 10.4028/www.scientific.net/AMM.744-746.59.

    Article  Google Scholar 

  • Yan, Y.-D., Jin, W.-L., and Wang, H.-L. (2011). “Chloride ingression in cracked concrete under saturated state.” Journal of Zhejiang University (Engineering Science), Vol. 45, No. 12, pp. 2127–2133, DOI: 10.3785/j.issn.1008-973X.2011.12.010.

    Google Scholar 

  • Yu, D., Guan, B., He, R., Xiong, R. and Liu, Z. (2016). “Sulfate attack of Portland cement concrete under dynamic flexural loading: A coupling function.” Construction and Building Materials, Vol. 115, pp. 478–485, DOI: 10.1016/j.conbuildmat.2016.02.052

    Article  Google Scholar 

  • Zhang, W.-m., Ba, H.-j., and Chen, S.-j. (2011). “Effect of fly ash and repeated loading on diffusion coefficient in chloride migration test.” Construction and Building Materials, Vol. 25, No. 5, pp. 2269–2274, DOI: 10.1016/j.conbuildmat.2010.11.016.

    Article  Google Scholar 

  • Zhang, R., Castel, A., and François, R. (2012). “Concrete cracking due to chloride-induced reinforcement corrosion–influence of steel–concrete interface defects due to the ‘top-bar effect’.” European Journal of Environmental and Civil Engineering, Vol. 16, Nos. 3–4, pp. 402–413, DOI: 10.1080/19648189.2012.667984.

    Article  Google Scholar 

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Yang, T., Guan, B., Liu, G. et al. Modeling of Chloride Ion Diffusion in Concrete under Fatigue Loading. KSCE J Civ Eng 23, 287–294 (2019). https://doi.org/10.1007/s12205-018-0403-1

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  • DOI: https://doi.org/10.1007/s12205-018-0403-1

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