Computers and Concrete

  • 제15권1호
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  • Pages.127-140
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  • 2015
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  • 1598-8198(pISSN)
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  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Modelling of chloride diffusion in saturated concrete

  • Tsao, Wen-Hu (Department of Civil Engineering, China University of Science and Technology) ;
  • Huang, Nai-Ming (Department of Civil Engineering, China University of Science and Technology) ;
  • Liang, Ming-Te (Department of Harbor and River Engineering, National Taiwan Ocean University)
  • 투고 : 2013.11.26
  • 심사 : 2014.11.03
  • 발행 : 2015.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

The process of chloride ingress in saturated concrete was presented by a previous study that used a mathematical model for the same as that concrete. This model is to be studied chloride ion diffusion which is considered as a chemical phenomenon and is to be represented the chloride diffusion process to be a nonlinear partial differential equation (PDE). In this paper, this nonlinear PDE is solved by the Kirchhoff transformation to render into a linear PDE. This linear PDE associated with initial and boundary conditions is also solved by the Laplace transformation to obtain an analytical solution. To verify the serviceability and reliability of this proposed method, the practical application should be supplied. The input parameters were cited from the previous study. The free chloride concentration profiles obtained by the analytical solution of mathematical model for saturated concretes after 24 and 120 hrs of exposure were compared with the previous study. The predicted results obtained from proposed method have a tendency with experimental results obtained by the previous study and trend toward numerical results approximated by finite difference technique.

키워드

참고문헌

  1. Climent, M.A., de Vera, G., Lopez, J.F., Vigueira, E. and Andrade, C. (2002), "A test method for measuring chloride diffusion coefficients through nonsaturated concrete Part I. the instantaneous plane source diffusion case ", Cement Concrete Res., 32(7), 1113-1123. https://doi.org/10.1016/S0008-8846(02)00750-0
  2. Conciatori, D., Sadouki, H. and Bruhwiler, E. (2008), "Capillary suction and diffusion model for chloride ingress into concrete", Cement Concrete Res., 38(12), 1401-1428. https://doi.org/10.1016/j.cemconres.2008.06.006
  3. Darmawan, M.S. (2010), "Pitting corrosion model for reinforced concrete structures in a chloride environment", Mag. Concete. Res., 62(2), 91-101. https://doi.org/10.1680/macr.2008.62.2.91
  4. Fraj, A.B., Bonnet, S. and Khelidj, A. (2012), "New approach for coupled chloride/moisture transport in non-saturated concrete with and without slag", Constr. Build. Mater., 35, 761-771. https://doi.org/10.1016/j.conbuildmat.2012.04.106
  5. Glasser, F.P., Marchand, J. and Samson, E. (2008), "Durability of concrete-Degradation phenomena involving detrimental chemical reactions", Cement Concrete Res., 38(2), 226-246. https://doi.org/10.1016/j.cemconres.2007.09.015
  6. Guzman, S., Galvez, J.C. and Sancho, J.M. (2011), "Cover cracking of reinforced concrete due to rebar corrosion induced by chloride penetration", Cement Concrete Res., 41(8), 893-902. https://doi.org/10.1016/j.cemconres.2011.04.008
  7. Jang, S.Y., Kim, B.S. and Oh, B.H. (2011), "Effect of crack width on chloride diffusion coefficients of concrete by steady state migration tests", Cement Concrete Res., 41(1), 9-19. https://doi.org/10.1016/j.cemconres.2010.08.018
  8. Lee, C.L., Huang, R., Lin, W.T. and Weng, T.L. (2012), "Establishment of the durability indices for cementbased composite containing supplementary cementitious materials", Mater. Des., 37, 28-39. https://doi.org/10.1016/j.matdes.2011.12.030
  9. Lin, W.T., Cheng, A., Huang, R. and Zou, S.Y. (2013), "Improved microstructure of cement-based composites through the addition of rock wool particles", Mater. Charact., 84, 1-9. https://doi.org/10.1016/j.matchar.2013.06.020
  10. Nagesh, M. and Bhattacharjee, B. (1998), "Modeling of chloride diffusion in concrete and determination of diffusion coefficients", ACI Mater. J., 95(2), 113-120.
  11. O'Neil, P.V. (2011), Advanced Engineering Mathematics, (7th Edition), Cengage Learning Inc., CA, USA.
  12. Pack, S.W., Jung, M.S., Song, H.W., Kim, S.H. and Ann, K.Y. (2010), "Prediction of time dependent chloride transport in concrete structures exposed to a marine environment", Cement Concrete Res., 40, 302-312. https://doi.org/10.1016/j.cemconres.2009.09.023
  13. Paul, S.K., Chaudhuri, S. and Barai S.V. (2014), "Chloride diffusion study in different types of concrete using finite element method (FEM), Adv. Concr. Constr., 2(1), 39-56. https://doi.org/10.12989/acc2014.2.1.039
  14. Song, H.W., Lee, C.H. and Ann, K.Y. (2008), "Factors influencing chloride transport in concrete structures exposed to marine environments", Cement Concrete Compos., 30,113-121. https://doi.org/10.1016/j.cemconcomp.2007.09.005
  15. Sugiyama, T., Bremner, T.W. and Tsuji, Y. (1996), "Determination of chloride diffusion coefficient and gas permeability of concrete and their relationship", Cement Concrete Res., 26(5), 781-790. https://doi.org/10.1016/S0008-8846(96)85015-0
  16. Sugiyama, T., Ritthichauy, W. and Tsuji, Y. (2008), "Experimental investigation and numerical modeling of chloride penetration and calcium dissolution in saturated concrete", Cement Concrete Res., 38(1),46-67.
  17. Sun, Y.M., Chang, T.P. and Liang, M.T. (2008), "Kirchhoff transformation analysis for determining time/depth dependent chloride diffusion coefficient in concrete", J. Mater. Sci., 43, 1429-1437. https://doi.org/10.1007/s10853-007-2304-4
  18. Sun, Y.M., Chang, T.P. and Liang, M.T. (2010), "Service life prediction for concrete structures by timedepth dependent chloride diffusion coefficient", J. Mater. Civ. Eng., ASCE, 22(11), 1187-1190. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000098
  19. Sun, Y.M., Liang, M.T. and Chang, T.P. (2012), "Time/depth dependent diffusion and chemical reaction model of chloride transportation in concrete", Appl. Math. Model., 36, 1114-1122. https://doi.org/10.1016/j.apm.2011.07.053
  20. Tsai, C.J., Huang, R., Lin, W.T. and Wang, H.N. (2014), "Mechanical and cementitious characteristics of ground granulated blast furnace slag and basic oxygen furnace slag blended mortar", Mater. Des., 60, 267-273. https://doi.org/10.1016/j.matdes.2014.04.002
  21. Wang, X.Y., Park K.B. and Lee, H.S. (2012), "Modeling of chloride diffusion in a hydrating concrete incorporating silica fume", Comput. Concr., 10(5), 523-539. https://doi.org/10.12989/cac.2012.10.5.523
  22. Weng, S.H., Yang, C.C., Cho, S.W. and Yang, K.C. (2012), "The study of chloride ion transport behavior of mortar under different storing environment temperatures", J. Mar. Sci. Technol., 20(3), 290-294.
  23. Wolfram Research (2013), Mathematica User Manual, Version 9.0.1, 100 Trade Center Drive, Champaign, IL61820-7237, USA.
  24. Yang, C.C. and Liang, C.H. (2009), "The influence of medium-high temperature on the transport properties of concrete by using accelerated chloride migration test", Mater. Chem. Phys., 114, 670-675. https://doi.org/10.1016/j.matchemphys.2008.10.023
  25. Yuan, Q., Shi, C., De Schutter, G., Deng, D. and He, F. (2011), "Numerical model for chloride penetration into saturated concrete", J. Mater. Civ. Eng., ASCE, 23(3), 305-311. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000168
  26. Zhang, S. and Zhao, B. (2012), "Research on chloride ion diffusivity of concrete subjected to CO2 environment", Comput. Concr., 10(3), 219-229. https://doi.org/10.12989/cac.2012.10.3.219

피인용 문헌

  1. Chloride diffusion in concrete associated with single, dual and multi cation types vol.17, pp.1, 2016, https://doi.org/10.12989/cac.2016.17.1.053
  2. Effects of High Temperature and Cooling Pattern on the Chloride Permeability of Concrete vol.2019, pp.1687-8094, 2019, https://doi.org/10.1155/2019/2465940
  3. Numerical modeling of concrete cover cracking due to steel reinforcing bars corrosion vol.61, pp.6, 2017, https://doi.org/10.12989/sem.2017.61.6.693
  4. A study on effects of water-cement ratio and crack width on chloride ion transmission rate in concrete vol.19, pp.4, 2015, https://doi.org/10.12989/cac.2017.19.4.387
  5. Numerical technique for chloride ingress with cover concrete property and time effect vol.20, pp.2, 2015, https://doi.org/10.12989/cac.2017.20.2.185
  6. Effects of loading conditions and cold joint on service life against chloride ingress vol.22, pp.3, 2018, https://doi.org/10.12989/cac.2018.22.3.319
  7. Chloride resistance and binding capacity of cementitious materials containing high volumes of fly ash and slag vol.73, pp.2, 2015, https://doi.org/10.1680/jmacr.19.00163