Journal of The Korean Society of Agricultural Engineers (한국농공학회논문집)

The Korean Society of Agricultural Engineers (한국농공학회)
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Development of Three Dimensional Chloride Ion Penetration Model Based on Finite Element Method

유한요소법을 이용한 3차원 염해 침투 예측 모델의 개발

  • Choi, Won (Department of Landscape Architecture and Rural Systems Engineering, Seoul National University) ;
  • Kim, Hanjoong (Hankyong National University)
  • Received : 2015.05.22
  • Accepted : 2015.08.26
  • Published : 2015.09.30
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Abstract

Most of agricultural structures located in seashore could not avoid rapid deterioration of concrete because chloride-ion and $CO_2$ gradually penetrate into concrete. However, since most of models can be able to describe the phenomenon of penetration by using one or two dimensional models based on finite difference method (FDM), those modes can not simulate the real geometry and it takes a lot of computational time to complete even the calculation. To overcome those weaknesses, three dimensional numerical model considering time dependent variables such as surface concentration of chloride and diffusion coefficient of domain based on finite element method (FEM) was suggested. This model also included the neutralization occurred by the penetration of $CO_2$. Because the model used various sizes of tetrahedral mesh instead of equivalent rectangular mesh, it reduced the computational time to compare with FDM. As this model is based on FEM, it will be easily extended to execute multi-physics simulation including water evaporation and temperature change of concrete.

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References

  1. Ann, K. Y., J. H., Ahn, and J. S., Ryou, 2009. The importance of chloride content at the concrete surface in assessing the time to corrosion of steel in concrete structures. Construction and Building Materials 23(1): 239-245. https://doi.org/10.1016/j.conbuildmat.2007.12.014
  2. Arora, P., B. N., Popov, B., Haran, M., Ramasubramanian, S., Popova, and R. E., White, 1997. Corrosion initiation time of steel reinforcement in a chloride environment - a one dimensional solution. Corrosion Science 39(4): 739-759. https://doi.org/10.1016/S0010-938X(96)00163-1
  3. Bentz, E. C., and M. D. A., Thomas, 2001. Manual of Life-365, Computer Program for Predicting the Service Life and Life-Cycle Costs of Reinforced Concrete Exposed to Chlorides.
  4. Bitaraf, M., and S., Mohammadi, 2008. Analysis of chloride diffusion in concrete structures for prediction of initiation time of corrosion using a new meshless approach. Construction and Building Materials 22(4): 546-556. https://doi.org/10.1016/j.conbuildmat.2006.11.005
  5. Chatterji, S., 1995. On the applicability of Fick's second law to chloride ion migration through portland cement concrete. Cement and Concrete Research 25(2): 299-303. https://doi.org/10.1016/0008-8846(95)00013-5
  6. Ehlen, M. A., M. D., Thomas, and E. C., Bentz, 2009. Life-365 Service Life Prediction $Model^{TM}$ Version 2.0. Concrete international 31(5): 41-46.
  7. Song, H.-W., S.-W. Pack, and K. Y. Ann, 2007. Time dependent chloride transport evaluation of concrete structures exposed to marine environment. Journal of the Korea Concrete Institute 19(5): 585-593. (in Korean). https://doi.org/10.4334/JKCI.2007.19.5.585
  8. Japan Society of Civil Engineers (JSCE). Standard specification for durability of concrete. Concr Libr 2002: 108. (in Japanese).
  9. Kassir, M. K., and M., Ghosn, 2002. Chloride-induced corrosion of reinforced concrete bridge decks. Cement and Concrete Research 32(1): 139-143. https://doi.org/10.1016/S0008-8846(01)00644-5
  10. Korea Rural Community Corporation, 2012. Devlopment of the Maintenance System for Saemangeum-Gate Bridge Concrete. Ansan-si, Gyueongi-do, Republic of Korea: Korea Rural Community Corporation. (in Korean).
  11. Leandro, J., A. S., Chen, S., Djordjevic, and D. A., Savic, 2009. Comparison of 1D/1D and 1D/2D coupled (sewer/surface) hydraulic models for urban flood simulation. Journal of hydraulic engineering 135(6): 495-504. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000037
  12. Lee, C. S., and M. W. Kim, 2013. Development of maintenance simulation system and prediction of chloride ion permeation for marine concrete structures. Journal of the Korea Institute for Structural Maintenance and Inspection 17(1): 64-75. (in Korean). https://doi.org/10.11112/jksmi.2013.17.1.064
  13. Lee, C. S., and M. W. Kim, 2014. Prediction of service life for marine concrete structures by exposure experiments. J. Korean Soc. Hazard Mitig 14(3): 341-349. (in Korean). https://doi.org/10.9798/KOSHAM.2014.14.3.341
  14. Liska, R., and B., Wendroff, 2003. Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. SIAM Journal on Scientific Computing 25(3): 995-1017. https://doi.org/10.1137/S1064827502402120
  15. Marchand, J., and E., Samson, 2009. Predicting the service-life of concrete structures - Limitations of simplified models. Cement and Concrete Composites 31(8): 515-521. https://doi.org/10.1016/j.cemconcomp.2009.01.007
  16. Mebarkia, S., and C., Vipulanandan, 1995. Mechanical Properties and Water Diffusion in Polyester Polymer Concrete. Journal of Engineering Mechanics 121(12): 1359-1365. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:12(1359)
  17. Meira, G. R., C., Andrade, C., Alonso, J. C., Borba Jr., M., Padilha Jr., 2010. Durability of concrete structures in marine atmosphere zones - the use of chloride deposition rate on the wet candle as an environmental indicator. Cement and Concrete Composites 32: 427-435. https://doi.org/10.1016/j.cemconcomp.2010.03.002
  18. Ministry of Construction and Transportation (MOCT). Standard specification for concrete structures on durability. Kimundang, Seoul, Korea, 2004. (in Korean).
  19. Pack, S.-W., M.-S., Jung, H.-W., Song, S.-H., Kim, and K. Y., Ann, 2010. Prediction of time dependent chloride transport in concrete structures exposed to a marine environment. Cement and Concrete Research 40(2): 302-312.(in Korean). https://doi.org/10.1016/j.cemconres.2009.09.023
  20. Shimomura, T., and K., Maruyama, 2004. Durability of Reinforced Concrete Structures with Externally bonded FRP sheets. The Second International Conference on FRP Composites in Civil Engineering. Adelaide, Australia.
  21. Song, H.-W., C.-H., Lee, and K. Y., Ann, 2008. Factors influencing chloride transport in concrete structures exposed to marine environments. Cement and Concrete Composites 30(2): 113-121.(in Korean). https://doi.org/10.1016/j.cemconcomp.2007.09.005
  22. Song, H.-W., H.-B., Shim, A., Petcherdchoo, and S.-K., Park, 2009. Service life prediction of repaired concrete structures under chloride environment using finite difference method. Cement and Concrete Composites 31(2): 120-127. https://doi.org/10.1016/j.cemconcomp.2008.11.002
  23. Tang, L., and L. O., Nilsson, 1992. Chloride diffusivity in high strength concrete at different ages. Nordic concrete research 11: 162-171.
  24. Tang, L., and L. O., Nilsson, 1992. Rapid Determination of the Chloride Diffusivity in Concrete by Applying an Electrical Field, ACI Materials Journal 89(1): 49-53.
  25. Tang, L., and L.-O., Nilsson, 1992. Rapid determination of the chloride diffusivity in concrete by applying an electrical field. ACI Mater. J. 89: 49-53.
  26. Thomas, M. D. A., and P. B., Bamforth, 1999. Modelling Chloride Diffusion in Concrete-Effect of Fly Ash and Slag. Cement and Concrete Research 29: 487-495. https://doi.org/10.1016/S0008-8846(98)00192-6
  27. Uji, K., Y., Matsuoka, and T., Maruya, 1990. Formulation of an Equation for Surface Chloride Content of Concrete due to Permeation of Chloride. Corrosion of Reinforcement in Concrete, Elsevier Applied Science, pp. 258-267.
  28. Zhang, J. Z., I. M., McLoughlin, and N. R., Buenfeld, 1998. Modelling of chloride diffusion into surface-treated concrete. Cement and Concrete Composites 20(4): 253-261. https://doi.org/10.1016/S0958-9465(98)00003-1
  29. Korea Concrete Institute, 2010. Chloride Durability Design of Offshore Concrete, Kimundang.(in Korean).

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