Technical Papers
Mar 6, 2017

Temperature-Dependent Coefficient of Thermal Expansion of Concrete in Freezing Process

Publication: Journal of Engineering Mechanics
Volume 143, Issue 8

Abstract

The coefficient of thermal expansion (CTE) of concrete depends on temperature, the internal structure of concrete, and the moisture content in concrete. An analytical model was developed to characterize the CTE of concrete under low temperatures. Three pore configurations are defined as pores with water and pores with ice. The effective strain of concrete is a combination of three processes during the cooling process, each containing a different configuration of pores. A general multiphase model for the effective expansion (and contraction) of concrete with a certain amount of ice was developed. The model can predict effective strain at different temperatures, which can reflect the influences of concrete pore size distribution and volume fractions of different phases. The predictions by the present model were compared with some available experimental data, and they agreed very well.

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Acknowledgments

The authors wish to acknowledge the partial support by the U.S. Department of Energy under grant DE-NE0000659-0003 to University of Colorado Boulder, the Natural Science Foundation of China (51408537), the Key Project Supported by Zhejiang Provincial Natural Science Foundation of China (LZ16E080002), and the Fundamental Research Funds for the Central Universities (2016FZA4014). Opinions expressed in this paper are those of the authors and do not necessarily reflect those of the sponsor.

References

Adamson, A. W., and Gast, A. P. (1997). Physical chemistry of surfaces, Wiley, New York.
ASTM. (1994). “Standard test method for critical dilation of concrete specimens subjected to freezing.” ASTM C671, West Conshohocken, PA.
Bažant, Z. P., Chern, J. C., Rosenberg, A. M., and Gaidis, J. M. (1988). “Mathematical model for freeze–thaw durability of concrete.” J. Am. Ceram. Soc., 71(9), 776–783.
Bhatia, S. K. (1998). “Determination of pore size distributions by regularization and finite element collocation.” Chem. Eng. Sci., 53(18), 3239–3249.
Bishnoi, S., and Uomoto, T. (2008). “Strain-temperature hysteresis in concrete under cyclic freeze–thaw conditions.” Cem. Concr. Compos., 30(5), 374–380.
Brunauer, S. (1943). The adsorption of gases and vapors, Princeton University Press, Princeton, NJ.
Brunauer, S., Deming, L. S., Deming, W. E., and Teller, E. (1940). “On a theory of the van der Waals adsorption of gases.” J. Am. Chem. Soc., 62(7), 1723–1732.
Brunauer, S., Emmett, P. H., and Teller, E. (1938). “Adsorption of gases in multimolecular layers.” J. Am. Chem. Soc., 60(2), 309–319.
Brunauer, S., Skalny, J., and Bodor, E. E. (1969). “Adsorption on nonporous solids.” J. Colloid Interface Sci., 30(4), 546–552.
Cai, H., and Liu, X. (1998). “Freeze–thaw durability of concrete: Ice formation process in pores.” Cem. Concr. Res., 28(9), 1281–1287.
Cordon, W. A. (1966). Freezing and thawing of concrete—Mechanisms and control, American Concrete Institute, Farmington Hills, MI, 35–36.
Defay, R., Prigogine, I., Bellemans, A., and Everett, D. H. (1966). Surface tension and adsorption, Longmans, London.
Dormieux, L., and Lemarchand, E. (2001). “Homogenization approach of advection and diffusion in cracked porous material.” J. Eng. Mech., 1267–1274.
Dubinin, M. M. (1985). “Generalization of the theory of volume filling of micropores to nonhomogeneous microporous structures.” Carbon, 23(4), 373–380.
Fagerlund, G. (1973). “Determination of pore-size distribution from freezing-point depression.” Mater. Struct., 6(3), 215–225.
Gibbs, J. W. (1948). The collected works of J. Willard Gibbs: Thermodynamics, Vol. 1, Yale University Press, New Haven, CT.
Gregg, S. J., and Sing, K. S. W. (1983). Adsorption, surface area, and porosity, Academic Press, London, New York.
Halsey, G. (1948). “Physical adsorption on non-uniform surfaces.” J. Chem. Phys., 16(10), 931–937.
Hillerborg, A. (1985). “A modified absorption theory.” Cem. Concr. Res., 15(5), 809–816.
Jaroniec, M., and Choma, J. (1986). “Characterization of heterogeneity of activated carbons by utilizing the benzene adsorption data.” Mater. Chem. Phys., 15(6), 521–536.
Jaroniec, M., and Choma, J. (1988). “Comparison of the adsorption isotherm equations associated with Gaussian and gamma micropore-size distributions.” Carbon, 26(5), 747–748.
Jaroniec, M., Choma, J., and Lu, X. (1991). “An improved method for evaluating the micropore-size distribution from adsorption isotherm.” Chem. Eng. Sci., 46(12), 3299–3301.
Jaroniec, M., Madey, R., Choma, J., McEnaney, B., and Mays, T. J. (1989). “Comparison of adsorption methods for characterizing the microporosity of activated carbons.” Carbon, 27(1), 77–83.
Kang, Y., Hansen, W., and Borgnakke, C. (2012). “Effect of air–void system on frost expansion of highway concrete exposed to deicer salt.” Int. J. Pavement Eng., 13(3), 259–266.
Litvan, G. G. (1972). “Phase transitions of adsorbates: IV, mechanism of frost action in hardened cement paste.” J. Am. Ceram. Soc., 55(1), 38–42.
Mikhail, R. S., and Robens, E. (1983). Microstructure and thermal analysis of solid surfaces, Wiley, Chichester, U.K.
Miyata, T., Endo, A., Ohmori, T., Akiya, T., and Nakaiwa, M. (2003). “Evaluation of pore size distribution in boundary region of micropore and mesopore using gas adsorption method.” J. Colloid Interface Sci., 262(1), 116–125.
Penttala, V. (1998). “Freezing-induced strains and pressures in wet porous materials and especially in concrete mortars.” Adv. Cem. Based Mater., 7(1), 8–19.
Penttala, V., and Al-Neshawy, F. (2002). “Stress and strain state of concrete during freezing and thawing cycles.” Cem. Concr. Res., 32(9), 1407–1420.
Powers, T. C., and Helmuth, R. A. (1953). “Theory of volume changes in hardened portland-cement paste during freezing.” Highway Research Board Proc., Highway Research Board, Washington, DC, 285–297.
Scherer, G. W. (1993). “Freezing gels.” J. Non-Cryst. Solids, 155(1), 1–25.
Setzer, M. J., Seter, M. J., and Auberg, R. (1997). “Basis of testing the freeze–thaw resistance—Surface and internal deterioration.” Frost Resistance Concr., 157–173.
Slater, W. M. (1987). “Deterioration and repair of above ground concrete water tanks in Ontario.” Ontario Ministry of the Environment, Meaford, ON, Canada.
Smith, R. (2005). Conquering chemistry, McGraw-Hill, New York.
Sun, Z., and Scherer, G. W. (2010a). “Effect of air voids on salt scaling and internal freezing.” Cem. Concr. Res., 40(2), 260–270.
Sun, Z., and Scherer, G. W. (2010b). “Pore size and shape in mortar by thermoporometry.” Cem. Concr. Res., 40(5), 740–751.
Thomson, J. (1849). “Theoretical considerations on the effect of pressure in lowering the freezing point of water.” Trans. R. Soc. Edinburgh, 16(5), 575–580.
Valenza II, J. J., and Scherer, G. W. (2006). “Mechanism for salt scaling.” J. Am. Ceram. Soc., 89(4), 1161–1179.
Xi, Y., Bažant, Z. P., and Jennings, H. M. (1994). “Moisture diffusion in cementitious materials adsorption isotherms.” Adv. Cem. Based Mater., 1(6), 248–257.
Xi, Y., and Jennings, H. M. (1997). “Shrinkage of cement paste and concrete modelled by a multiscale effective homogeneous theory.” Mater. Struct., 30(6), 329–339.
Zhou, Z. Y., and Mihashi, H. (2008). “Micromechanics model to describe strain behavior of concrete in freezing process.” J. Mater. Civ. Eng., 46–53.
Zuber, B., and Marchand, J. (2004). “Predicting the volume instability of hydrated cement systems upon freezing using poro-mechanics and local phase equilibria.” Mater. Struct., 37(4), 257–270.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 8August 2017

History

Received: Aug 12, 2016
Accepted: Dec 22, 2016
Published online: Mar 6, 2017
Published in print: Aug 1, 2017
Discussion open until: Aug 6, 2017

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Authors

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Associate Professor, Institute of Structural Engineering, Zhejiang Univ., Hangzhou 310058, P.R. China; formerly, Postdoctoral Fellow, Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Colorado Boulder, Boulder, CO 80309 (corresponding author). E-mail: [email protected]
Yunping Xi
Professor, Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Colorado Boulder, Boulder, CO 80309.
Wei-liang Jin
Professor, Institute of Structural Engineering, Zhejiang Univ., Hangzhou 310058, P.R. China.

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