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Modeling of diffusion-reaction behavior of sulfate ion in concrete under sulfate environments

  • Zuo, Xiao-Bao (Department of Civil Engineering, Nanjing University of Science & Technology) ;
  • Sun, Wei (Jiangsu Key Laboratory of Construction Materials, Southeast University) ;
  • Li, Hua (Jiangsu Key Laboratory of Construction Materials, Southeast University) ;
  • Zhao, Yu-Kui (Department of Civil Engineering, Nanjing University of Science & Technology)
  • 투고 : 2011.01.27
  • 심사 : 2011.11.21
  • 발행 : 2012.07.25

초록

This paper estimates theoretically the diffusion-reaction behaviour of sulfate ion in concrete caused by environmental sulfate attack. Based on Fick's second law and chemical reaction kinetics, a nonlinear and nonsteady diffusion-reaction equation of sulfate ion in concrete, in which the variable diffusion coefficient and the chemical reactions depleting sulfate ion concentration in concrete are considered, is proposed. The finite difference method is utilized to solve the diffusion-reaction equation of sulfate ion in concrete, and then it is used to simulate the diffusion-reaction process and the concentration distribution of sulfate ion in concrete. Afterwards, the experiments for measuring the sulfate ion concentration in concrete are carried out by using EDTA method to verify the proposal model, and results show that the proposed model is basically in agreement with the experimental results. Finally, Numerical example has been completed to investigate the diffusion-reaction behavior of sulfate ion in the concrete plate specimen immersed into sulfate solution.

키워드

참고문헌

  1. Adam, N. (2004), "The confused world of sulfate attack on concrete", Cement Concrete Res., 34(8), 1275-1296. https://doi.org/10.1016/j.cemconres.2004.04.004
  2. ASTM D511-03 (2003), Standard test methods for calcium and magnesium in water, An American National Standard, American Society for Testing and Materials.
  3. Atkins, P. (1998), Physical chemistry, Oxford University Press.
  4. Bertron, A., Duchesne, J. and Escadeillas, G. (2005), "Attack of cement pastes exposed to organic acids in manure", Cement Concrete Comp., 27(9-10), 898-909. https://doi.org/10.1016/j.cemconcomp.2005.06.003
  5. Chandra, A. and Bagchi, B. (1999), "Ion conductance in electrolyte solutions", J. Chem. Phy., 110(20), 1024-1034.
  6. Clifton, J.R., Bentz, D.P. and Pommersheim, J.M. (1994), "Sulfate diffusion in concrete", NISTIR 5361, Gaithersburg, NIST.
  7. Clifton, J.R. and Ponnersheim, J.M. (1994), "Sulfate attack of cementitious materials: volumetric relations and expansions", NISTIR 5390, Building and Fire Research Laboratory, National Institute of Standards and Technology Gaithersburg.
  8. Coussy, O. and Ulm, F.J. (2001), "Elements of durability mechanics of concrete structures", Proceeding of Creep, Shrinkage and Durability Mechanics of Concrete and other Quasi-Brittle Materials, Elsevier Science, Amsterdam, 3993-4009.
  9. Ferraris, C.F., Clifton, J.R., Stutzman, P.E. and Garboczi, E.J. (1997), "Mechanisms of degradation of portland cement-based systems by sulfate attack", Mechanisms of chemical degradation of cement-based systems, E & FN Spon, London, New York.
  10. Goktepe, A.B., Inan, G., Ramyar, K. and Sezer, A. (2006), "Stimation of sulfate expansion level of PC mortar using statistical and neural approaches", Constr. Build. Mater., 20(7), 441-449. https://doi.org/10.1016/j.conbuildmat.2005.01.041
  11. Gospodinov, P.N., Kazandjiev, R., Partalin, T. and Mironova, M. (1999), "Diffusion of sulfate ions into cement stone regarding simultaneous chemical reactions and resulting effects", Cement Concrete Res., 29(10), 1591-1596. https://doi.org/10.1016/S0008-8846(99)00138-6
  12. Gospodinov, P.N. (2005), "Numerical simulation of 3D sulfate ion diffusion and liquid push out of the material capillaries in cement composites", Cement Concrete Res., 35(3), 520-526. https://doi.org/10.1016/j.cemconres.2004.07.005
  13. Kuhl, D., Bangert, F. and Meschke, G. (2004), "Coupled chemo-mechanical deterioration of cementitious material. Part I: Modeling, Part II: Numerical methods and simulations", Int. J. Solids. Struct., 41(1), 15-67. https://doi.org/10.1016/j.ijsolstr.2003.08.005
  14. Laidler, K.J. (1987), Chemical kinetics (3th Edition.), Harper & Row Publishers, New York.
  15. Li, R.H. and Liu, B. (2009), Numerical solution of particle differential equation, High Education Press, Beijing, Chinese.
  16. Marchand, J., Samson, E. and Maltais, Y. and Beaudoin, J.J. (2002), "Theoretical analysis of the effect of weak sodium sulfate solutions on the durability of concrete", Cement Concrete Comp., 24(3-4), 317-329. https://doi.org/10.1016/S0958-9465(01)00083-X
  17. Marchand, J., Samson, E., Maltais, Y., Lee, R.J. and Sahu, S. (2002), "Predicting the performance of concrete structures exposed to chemically aggressive environment-field validation", Mater. Struct., 35(3), 623-631.
  18. Masi, M., Colella, D., Radaelli, G. and Bertolini, L. (1997), "Simulation of chloride penetration in cement-based materials", Cement Concrete Res., 27(10), 1951-1601.
  19. Monteiro, P.J.M. and Kurtis, K.E. (2003), "Time to failure for concrete exposed to severe sulfate attack", Cement Concrete Res., 33(7), 987-993. https://doi.org/10.1016/S0008-8846(02)01097-9
  20. Perry, R.H. (1997), Perry's chemical engineer's handbook (7th Edition.) , McGraw-Hill, New York.
  21. Samson, E.J., Marchand, J. and Bournazel, J.P. (2000), "Modelling the influence of chemical reactions on the mechanisms of ionic transport in porous materials: an overview", Cement Concrete Res., 30(12), 1895-1902. https://doi.org/10.1016/S0008-8846(00)00458-0
  22. Samson, E.J., Marchand, J., Robert, L. and Bournazel, J.P. (1999), "Modeling ion diffusion mechanisms in porous media", Int. J. Numer. Meth. Eng., 46(12), 2043-2060. https://doi.org/10.1002/(SICI)1097-0207(19991230)46:12<2043::AID-NME795>3.0.CO;2-7
  23. Sarkar, S., Mahadevan, S. and Meeussen, J.C.L. (2010), "Numerical simulation of cementitious materials degradation under external sulfate attack", Cement Concrete Comp., 32(3), 241-252. https://doi.org/10.1016/j.cemconcomp.2009.12.005
  24. Sun, W. and Yu, H.F. (2001), "Research advances on concrete durability and life-time evaluation", Forum on Safety and Durability of Civil Structures, China Architecture & Building Press, Beijing, Chinese.
  25. Tam, V.W.Y., Gao, X.F., Tam, C.M. and Ng, K.M. (2009), "Physio-chemical reactions in recycle aggregate concrete", J. Hazard. Mater., 163(2-3), 823-828. https://doi.org/10.1016/j.jhazmat.2008.07.031
  26. Taylor, H.F.W., Famy, C. and Scrivener, K.L. (2001), "Delayed ettringite formation", Cement Concrete Res., 31(5), 683-693 https://doi.org/10.1016/S0008-8846(01)00466-5
  27. Tixier, R. and Barzin, M. (2003), "Modeling of damage in cement-based materials subjectedto external sulfate attack. I: Formulation, II: Comparison with experiments", J. Mater. Civil Eng., 15(4), 305-322. https://doi.org/10.1061/(ASCE)0899-1561(2003)15:4(305)
  28. Yoon, I.S. (2009), "Simple approach to calculate chloride diffusivity of concrete considering carbonation", Comput. Concrete, 6(1), 1-18. https://doi.org/10.12989/cac.2009.6.1.001
  29. Zang, Y.R. (1995), Chemical reaction kinetics, Nankai university press, Tianjin, Chinese.
  30. Zuo, X.B. (2011), "Modeling ion diffusion-reaction behavior in concrete associated with durability deterioration subjected to couplings of environmental and mechanical loadings", Postdoctoral Research Report, Jiangsu Key Laboratory of Construction Materials, Southeast University, Nanjing, China.
  31. Zuo, X.B., Sun, W., Yu, C. and Wan, X.R. (2010), "Modelling ionic diffusion coefficient in saturated concrete", Comput. Concrete, 7(5), 1-15. https://doi.org/10.12989/cac.2010.7.1.001

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  8. Migration and Reaction of Sulfate Ions in Concrete under Stray Current vol.49, pp.6, 2012, https://doi.org/10.1520/jte20200294
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