Browse > Article
http://dx.doi.org/10.4334/JKCI.2002.14.1.118

Mathematical Modeling of Degree of Hydration and Adiabatic Temperature Rise  

차수원 (한경대학교 토목공학과)
Publication Information
Journal of the Korea Concrete Institute / v.14, no.1, 2002 , pp. 118-125 More about this Journal
Abstract
Hydration is the main reason for the growth of the material properties. An exact parameter to control the chemical and physical process is not the time, but the degree of hydration. Therefore, it is reasonable that development of all material properties and the formation of microstructure should be formulated in terms of degree of hydration. Mathematical formulation of degree of hydration is based on combination of reaction rate functions. The effect of moisture conditions as well as temperature on the rate of reaction is considered in the degree of hydration model. This effect is subdivided into two contributions: water shortage and water distribution. The former is associated with the effect of W/C ratio on the progress of hydration. The water needed for progress of hydration do not exist and there is not enough space for the reaction products to form. The tatter is associated with the effect of free capillary water distribution in the pore system. Physically absorption layer does not contribute to progress of hydration and only free water is available for further hydration. In this study, the effects of chemical composition of cement, W/C ratio, temperature, and moisture conditions on the degree of hydration are considered. Parameters that can be used to indicate or approximate the real degree of hydration are liberated heat of hydration, amount of chemically bound water, and chemical shrinkage, etc. Thus, the degree of heat liberation and adiabatic temperature rise could be determined by prediction of degree of hydration.
Keywords
degree of hydration; temperature condition; moisture condition; progress of hydration; reaction rate function; adiabatic temperature rise;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Friesleben Hansen, P., and Pedersen, E. J.. "Maturity Computer for Controlled Curing and Hardening of Concrete," Journal of the Nordic Federation, No.1, 1977, pp.21-25.
2 Badmann, R, Stockhausen. N., and Setzer, M. J., "The Statistical Thickness and Chemical Potential of Adsorbed Water Films," Journal of Colloid and Interface Science, Vol. 82, No. 2, 1981, pp.534-542.   DOI   ScienceOn
3 Bazant, Z. P., and Najjar, L. J., "Nonlinear Water Diffusion in Nonsaturated Concrete," Materials and Structures, Vol. 5, No. 25, 1972, pp.3-20.   DOI
4 Powers, T. C., "A Discussion of Cement Hydration in Relation to the Curing of Concrete," Proceedings of the Highway Research Board, Vol. 27, 1947, pp.178-188.
5 Jennings, H. M., and Tennis, P. D., "Model for the Developing Microstructure in Portland Cement Pastes," Journal of the American Ceramic Society, Vol. 77, No. 12, 1994, pp.3161-3172.   DOI   ScienceOn
6 Norling, M. K., "Self-desiccation in Concrete," Licentiate Thesis, Chalmers University of Technology, Sweden, 1994.
7 Locher, F. W., "Zement, Kalk, Gips," Jhg. 29, No.10, 1976, pp.435-442.
8 Parrott, L. J., "Cement Hydration Under Partially Saturated Conditions," International Symposium Proceedings on the Chemistry of Cements, Rio de Janeiro, Vol III, 1986, pp.4 6-50.
9 Cha, S. W., "Modeling of Hydration Process and Analysis of Thermal and Hygral Stresses in Hardening Concrete," Ph.D Thesis, Seoul National University, Seoul, Korea, 1999.
10 Jonasson, J-E., "Slipform Construction Calaculation for Assessing Protection Against Early Freezing," Swedish Cement and Concrete Research Institute, 1985.
11 Hagymassy, J., Brunauer, J. R, and Mikhail, R. S., "Pore Structure Analysis by Water Vapor Adsorption t-curves for Water Vapour," Journal of Colloid and Interface Science, Vol. 9, No.3, 1969, pp.485-491.   DOI   ScienceOn
12 Powers, T. C., and Brownyard, T. L., "The Thermodynamics of Adsorption of Water on Hardened Cement Paste," ACI Journal, Vol. 18, 1947, pp.549-602.
13 Byfors, J. "Plain Concrete at Early Ages," Swedish Cement and Concrete Research Institute, 1980.
14 Bezjak, A., "On the Determination of Rates Constants for Hydration Processes in Cement Pastes," Cement and Concrete Research, Vol. 10, No.4, 1980, pp.553-563.   DOI   ScienceOn
15 Neville, A. M., "Properties of Concrete," 4th ed., Addison Wesley Longman Ltd, 1995.
16 Feldman, R. F. International Symposium Proceedings on the Chemistry of Cements, Rio de Janeiro, Vol. 1, 1986, pp.336-356.
17 Nurse, R. W., "Steam Curing of Concrete," Magazine of Concrete Research, Vol. 1, 1949, pp.79-88.   DOI
18 Breugel, K. van, "Simulation of Hydration and Formation of Structure in Hardening Cemen-tbased Materials," Ph.D Thesis, Delft University of Technology, Delft, The Netherlands, 1991.
19 Powers, T. C., "Physical Properties of Cement Paste," International Symposium Proceedings on the Chemistry of Cement, Washington, Vol II, 1960, pp.577-699.
20 Powers, T. C., and Brownyard, T. L., "Studies of the Physical Properties of Hardened Portland Cement," Bulletin 22 of Research Laboratories of the Portland Cement Association, Vol. 22, 1948, pp.276-287.
21 Parrott, L. J., "Measurement and Modelling of Porosity in Drying Cement Paste," Materials Research Society Symposium Proceedings on Microstructural Development During Hydration of Cement, Vol. 85, 1986, pp.91-104.   DOI
22 Copeland, L. E., and Kantro, D. L., "Hydration of Portland Cement," International Symposium Proceedings on the Chemistry of Cements, Tokyo, Vol. II, 1968, pp.387-421.
23 Jennings, H. M., and Johnson, S. K., "Simulation of Microstructure Development During the Hydration of a Cement Compound," Joumal of the American Ceramic Society, Vol. 69, No.1 1, 1986, pp.790-795.   DOI   ScienceOn
24 Atlassi, E., "A Quantitative Thermogravimetric Study on the Nonevaporable Water in Mature Silica Fume Concrete," Ph.D Thesis, Chalmers University of Technology, Sweden, 1993.
25 Taylor, H. F. W., Cement Chemistry, Academic Press, London, 1990