DOI QR코드

DOI QR Code

Determination of Degree of Hydration, Temperature and Moisture Distributions in Early-age Concrete

초기재령 콘크리트의 수화도와 온도 및 습도분포 해석

  • Published : 2002.12.01

Abstract

The purpose of the present study is first to refine the mathematical material models for moisture and temperature distributions in early-age concrete and then to incorporate those models into finite element procedure. The three dimensional finite element program developed in the present study can determine the degree of hydration, temperature and moisture distribution in hardening concrete. It is assumed that temperature and humidity fields are fully uncoupled and only the degree of hydration is coupled with two state variables. Mathematical formulation of degree of hydration Is based on the combination of three rate functions of reaction. The effect of moisture condition as well as temperature on the rate of reaction is considered in the degree of hydration model. In moisture transfer, diffusion coefficient is strongly dependent on the moisture content in pore system. Many existing models describe this phenomenon according to the composition of mixture, especially water to cement ratio, but do not consider the age dependency. Microstructure is changing with the hydration and thus transport coefficients at early ages are significantly higher because the pore structure in the cement matrix is more open. The moisture capacity and sink are derived from age-dependent desorption isotherm. Prediction of a moisture sink due to the hydration process, i.e. self-desiccation, is related to autogenous shrinkage, which may cause early-age cracking in high strength and high performance concrete. The realistic models and finite element program developed in this study provide fairly good results on the temperature and moisture distribution for early-age concrete and correlate very well with actual test data.

본 연구에서 초기재령 콘크리트의 단면 내 수화도와 온도 및 습도분포를 구하는 3차원 유한요소 해석 프로그램을 개발하기 위한 수화도에 따른 재료 모델을 제시하고, 수치해석 절차에 관하여 정립하였다. 재료물성이 급격히 변화하는 초기재령 콘크리트의 거동을 모사하는 과정에서 온도 및 습도에 관련된 재료 물성이 수화도에 따라 결정하였다. 또한 수분거동 연구는 경화한(mature) 콘크리트에 대해서는 여러 연구자에 의해 수행되었지만, 초기재령 콘크리트의 전달계수, 수분용량에 관한 연구는 제대로 정립되지 않은 실정이다. 또한 일반적으로 보통콘크리트에서 무시되는 수분감소항은 고강도 및 고성능 콘크리트의 자기건조(self-desiccation)와 관련된 자기수축(autogenous shrinkage)을 유발하고, 이는 구조물의 장기 내구성 및 사용성 측면에서 중요한 관심사이다. 따라서 본 연구는 초기재령 콘크리트의 온도 및 수축에 의한 응력을 평가하기 위하여, 고강도 및 고성능 콘크리트를 포함한 초기재령 콘크리트의 온도 및 수분거동을 적절히 표현하는 수학적 재료 모델을 제시하고, 콘크리트의 단면 내 수화도와 온도 및 습도분포를 결정하는 3차원 유한요소 해석 프로그램을 개발하였다. 개발된 해석프로그램을 이용한 수치해석 결과는 실험결과와의 비교를 통하여 그 타당성을 검증하였다.

Keywords

References

  1. Cha, S. W., "Modeling of Hydration Process and Analysis of Thermal and Hygral Stresses in Hardening Concrete," Ph.D Dissertation, Seoul National University, Seoul, Korea, 1999.
  2. Nilsson, L. O., "Moisture in Marine Concrete Structures," Studies in the BMB-project 1992-1996, Contribution to Durability of Concrete in Saline Environment, 1996.
  3. CEB-FIP Model Code 1990, CEB Bulletin d'Information No. 213/214, 1993.
  4. Bazant, Z. P., "Current Status and Advances in the Theory of Creep and Interaction with Fracture," 5th International RILEM Symposiumon Creep and Shrinkage of Concrete, Edited by Bazant, Z. P. and Carol, I., Barcelona, Chapmanand Hall, pp.291-308, 1993.
  5. Bazant, Z. P. and Najjar, L. L, "Nonlinear Water Diffusion in Nonsaturated Concrete" MateriaIs and Structures, Vol. 5, No. 25, pp.3-20, 1972. https://doi.org/10.1007/BF02479073
  6. Nilsson, L. O., "Hygroscopic Moisture in Concrete- Drying, Measurements and Related MateriaI Properties," PhD dissertation, Report TVBM 1003, Lund Institute of Technology, Sweden,1980.
  7. Hedenblad, G., "Moisture Permeability of Mature Cconcrete, Cement Mortar and Cement Paste," Ph.D dissertation, Report TVBM-1014, LundInstitute of Technology, Sweden, 1993.
  8. Xi, Y., Bazant, Z. P. and Jennings, H. M.,"Moisture Diffusion in Cementitious Materials- Adsorption Isotherms," Advanced Cement Based Materials, No. 1, pp.248-257, 1994. https://doi.org/10.1016/1065-7355(94)90033-7
  9. Xi, Y., Bazant, Z. P., Molina, L., and Jennings, H. M., "Moisture Diffusion in Cementitious Matehals - Moisture Capacity and Diffusivity," Advanced Cement Based Materials, No. 1, pp.258-266, 1994. https://doi.org/10.1016/1065-7355(94)90034-5
  10. Claesson, J., "Few Remarks on Moisture Flow PotentiaIs," Report TVBH-7163, Division of Building Physics, Lund Institute of Technology, Sweden, 1993.
  11. Hedenblad, G., "The Use of Mercury Intrusion Porosity or Helium Porosity to Predict the Moisture Transport Properties of Hardened Cement Paste," Advanced Cement Based Materials, No. 6, pp.123-129, 1997. https://doi.org/10.1016/S1065-7355(97)90019-5
  12. Brunauer, S., Emmett, P. H., and Teller, E.,"Adsorption of Gases in Multimolecular Layers," Journal of American Chemical Society,Vol. 60, pp.309-319, 1938. https://doi.org/10.1021/ja01269a023
  13. Brunauer, S., Deming, L. S., Deming, W. E., and Teller, E., Journal of American Chemical Society, Vol. 62, pp.1723-1732, 1940. https://doi.org/10.1021/ja01864a025
  14. Brunauer, S., Skanlny, J., and Border, E. E., Journal of Colloid Interface Science, Vol. 30, pp.546-552, 1969. https://doi.org/10.1016/0021-9797(69)90423-8
  15. Hillerborg, A., "A Modified Absorption Theory," Cement and Concrete Research, Vol. 15, pp.809-816, 1985. https://doi.org/10.1016/0008-8846(85)90147-4
  16. Norling Mjornell, K., "Moisture Conditions in High Performance Concrete," Ph.D Dissertation, Chalmers University of Technology, Sweden,1997.
  17. Neville, A. M., "Properties of Concrete," 4th ed., Addison Wesley Longman Ltd, 1995.
  18. Zienkiewicz, O. C. and Taylor, R. L, "The Finite EIement Method," McGraw Hill, New York, 1989.
  19. Atlassi, E., "Influence of Cement Type on the Desorption Isotherm of Mortar," Nordic Concrete Research, No. 10, pp.25-36, 1991.
  20. Hedlund, H., "Stresses in High Performance Concrete Due to Temperature and Moisture Variations at Early Ages," Licentiate thesis, Division of Structural Engineering, Lulea University of Technology, Sweden, 1996.
  21. Norling Mjornell, K, "Self-desiccation in Concrete," Licentiate thesis, Chalmers University of Technology, Sweden, 1994.
  22. Persson, B., "Hydration, Structure and Strength of High Performance Concrete," Licentiate thesis, Report TVBM-7009, Lund University of Technology, Sweden, 1992.