Technical Papers
May 22, 2019

Practical Model for Predicting Internal Relative Humidity of Concrete Exposed to Drying

Publication: Journal of Materials in Civil Engineering
Volume 31, Issue 8

Abstract

This paper presents a finite-element model developed to predict concrete drying behavior and internal relative humidity with very simple inputs that are known to engineers and practitioners (concrete mix design and cement Bogue composition). The model is based on an empirical derivation of the sorption isotherm, which is used to deduce the pore size distribution, as well as a derivation of total porosity and pore tortuosity through previously published formulations. Pore size distribution and total porosity are used to determine vapor and liquid water permeability, which is used to solve for moisture transport due to drying. The model is applicable for concrete that is not exposed to self-desiccation and/or wetting and drying cycles. The model is compared with a wide range of published experimental results and found to provide accurate predictions of internal relative humidity with these simple inputs, even in cases where the Bogue composition is not known. Limitations and uncertainties associated with the model are discussed and room for future improvement is suggested.

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References

ACI (American Concrete Institute). 2006. Guide for concrete slabs that receive moisture-sensitive flooring materials. ACI Committee 302. Farmington Hills, MI: ACI.
Arfvidsson, J., and J. Claesson. 2000. “Isothermal moisture flow in building materials: Modelling, measurements and calculations based on Kirchhoff’s potential.” Build. Environ. 35 (6): 519–536. https://doi.org/10.1016/S0360-1323(99)00045-1.
Baroghel-Bouny, V. 2007. “Water vapour sorption experiments on hardened cementitious materials. Part I: Essential tool for analysis of hygral behaviour and its relation to pore structure.” Cem. Concr. Res. 37 (3): 414–437. https://doi.org/10.1016/j.cemconres.2006.11.019.
Barrick, J., and E. Krokosky. 1976. “The effects of temperature and relative humidity on static strength of hydrated Portland cement.” J. Test. Eval. 4 (1): 61–73. https://doi.org/10.1520/JTE10509J.
Bazant, Z. P., and L. J. Najjar. 1972. “Nonlinear water diffusion in nonsaturated concrete.” Mater. Constr. 5 (1): 3–20. https://doi.org/10.1007/BF02479073.
Choi, S., and M. C. Won. 2010. “Thermal strain and drying shrinkage of concrete structures in the field.” ACI Mater. J. 107 (5): 498–507.
Daian, J. F. 2014. Equilibrium and transfer in porous media 1: Equilibrium states. Hoboken, NJ: Wiley.
fib (International Federation for Structural Concrete). 2007. fib model code for concrete structures. Berlin: Ernst & Sohn.
Gawin, D., C. E. Majorana, and B. A. Schrefler. 1999. “Numerical analysis of hygro-thermal behaviour and damage of concrete at high temperature.” Mech. Cohesive Frict. Mater. Int. J. Exp. Modell. Comput. Mater. Struct. 4 (1): 37–74. https://doi.org/10.1002/(SICI)1099-1484(199901)4:1%3C37::AID-CFM58%3E3.0.CO;2-S.
Gong, F., D. Zhang, E. Sicat, and T. Ueda. 2014. “Empirical estimation of pore size distribution in cement, mortar, and concrete.” J. Mater. Civ. Eng. 26 (7): 04014023. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000945.
Hagymassy, J. J. R., S. Brunauer, and R. S. H. Mikhail. 1969. “Pore structure analysis by water vapor adsorption. I: t-Curves for water vapor.” J. Colloid Interface Sci. 29 (3): 485–491. https://doi.org/10.1016/0021-9797(69)90132-5.
Hall, C., and W. D. Hoff. 2012. Water transport in brick, stone and concrete. 2nd ed. London: Spon Press.
Ho, D., Q. Cui, and D. Ritchie. 1989. “The influence of humidity and curing time on the quality of concrete.” Cem. Concr. Res. 19 (3): 457–464. https://doi.org/10.1016/0008-8846(89)90034-3.
Huang, Q., Z. Jiang, X. Gu, W. Zhang, and B. Guo. 2015. “Numerical simulation of moisture transport in concrete based on a pore size distribution model.” Cem. Concr. Res. 67: 31–43. https://doi.org/10.1016/j.cemconres.2014.08.003.
Isgor, O. B., and A. Razaqpur. 2004. “Finite element modeling of coupled heat transfer, moisture transport and carbonation processes in concrete structures.” Cem. Concr. Compos. 26 (1): 57–73. https://doi.org/10.1016/S0958-9465(02)00125-7.
Ishida, T., K. Maekawa, and T. Kishi. 2007. “Enhanced modeling of moisture equilibrium and transport in cementitious materials under arbitrary temperature and relative humidity history.” Cem. Concr. Res. 37 (4): 565–578. https://doi.org/10.1016/j.cemconres.2006.11.015.
Kim, J. K., and C. S. Lee. 1999. “Moisture diffusion of concrete considering self-desiccation at early ages.” Cem. Concr. Res. 29 (12): 1921–1927. https://doi.org/10.1016/S0008-8846(99)00192-1.
Monfore, G. E. 1963. “A small probe-type gage for measuring relative humidity.” J. PCA R&D Lab. 5 (2): 41–47.
Mounajed, G., and W. Obeid. 2004. “A new coupling FE model for the simulation of thermal hydro- mechanical behaviour of concretes at high temperatures.” Mater. Struct. 37 (6): 422–432.
Mualem, Y. 1974. “A conceptual model of hysteresis.” Water Resour. Res. 10 (3): 514–520. https://doi.org/10.1029/WR010i003p00514.
Muller, A. C. A., K. L. Scrivener, A. M. Gajewicz, and P. J. McDonald. 2013. “Use of bench-top NMR to measure the density, composition and desorption isotherm of C-S-H in cement paste.” Microporous Mesoporous Mater. 178: 99–103. https://doi.org/10.1016/j.micromeso.2013.01.032.
Nakarai, K., T. Ishida, and K. Maekawa. 2006. “Multi-scale physiochemical modeling of soil-cementitious material interaction.” Soils Found. 46 (5): 653–663. https://doi.org/10.3208/sandf.46.653.
Nielsen, E. P., and M. R. Geiker. 2003. “Chloride diffusion in partially saturated cementitious material.” Cem. Concr. Res. 33 (1): 133–138. https://doi.org/10.1016/S0008-8846(02)00939-0.
Nilsson, L. O., and K. Mjonell. 2005. “A macro-model for self-desiccation in high performance concrete.” In Proc., Self-Desiccation and Its Importance in Concrete Technology, edited by B. Persson, D. Bentz, and L. O. Nilsson, 49–67. Gaithersburg, MD: National Institute of Standards and Technology.
Papadakis, V. G., C. G. Vayenas, and M. N. Fardis. 1991. “Physical and chemical characteristics affecting the durability of concrete.” ACI Mater. J. 88 (2): 186–196.
Parrott, L. J., D. C. Killoh, and R. G. Patel. 1986. “Cement hydration under partially saturated conditions.” In Vol. 3 of Proc., 8th Congress on Chemistry of Cement, 46–50. Farmington Hills, MI: American Concrete InstituteRio De Janeiro, Brazil.
Persson, B. 1997. “Moisture in concrete subjected to different kinds of curing.” Mater. Struct. 30 (9): 533–544. https://doi.org/10.1007/BF02486397.
Pour-Ghaz, M., O. B. Isgor, and P. Ghods. 2009. “The effect of temperature on the corrosion of steel in concrete. Part 1: Simulated polarization resistance tests and model development.” Corros. Sci. 51 (2): 415–425. https://doi.org/10.1016/j.corsci.2008.10.034.
Qin, M., R. Belarbi, A. Aït-Mokhtar, and L. O. Nilsson. 2009. “Coupled heat and moisture transfer in multi-layer building materials.” Constr. Build. Mater. 23 (2): 967–975. https://doi.org/10.1016/j.conbuildmat.2008.05.015.
Quenard, D., and H. Sallee. 1992. “Water vapour adsorption and transfer in cement-based materials: A network simulation.” Mater. Struct. 25 (9): 515–522. https://doi.org/10.1007/BF02472447.
Rajabipour, F., E. Giannini, C. Dunant, J. H. Ideker, and M. D. A. Thomas. 2015. “Alkali-silica reaction: Current understanding of the reaction mechanisms and the knowledge gaps.” Cem. Concr. Res. 76: 130–146. https://doi.org/10.1016/j.cemconres.2015.05.024.
Ranaivomanana, H., J. Verdier, A. Sellier, and X. Bourbon. 2011. “Toward a better comprehension and modeling of hysteresis cycles in the water sorption-desorption process for cement based materials.” Cem. Concr. Res. 41 (8): 817–827. https://doi.org/10.1016/j.cemconres.2011.03.012.
Rangelov, M., and S. Nassiri. 2018. “Empirical time-dependent tortuosity relations for hydrating mortar mixtures based on modified Archie’s law.” Constr. Build. Mater. 171: 825–838. https://doi.org/10.1016/j.conbuildmat.2018.03.173.
Rubin, J. 1967. “Numerical method for analyzing hysteresis-affected, post-infiltration redistribution of soil moisture.” Soil Sci. Soc. Am. Proc. 31 (1): 13–20. https://doi.org/10.2136/sssaj1967.03615995003100010009x.
Snyder, K. A., and D. P. Bentz. 2004. “Suspended hydration and loss of freezable water in cement pastes exposed to 90% relative humidity.” Cem. Concr. Res. 34 (11): 2045–2056. https://doi.org/10.1016/j.cemconres.2004.03.007.
Sun, G., Y. Zhang, W. Sun, Z. Liu, and C. Wang. 2011. “Multi-scale prediction of the effective chloride diffusion coefficient of concrete.” Constr. Build. Mater. 25 (10): 3820–3831. https://doi.org/10.1016/j.conbuildmat.2011.03.041.
Valckenborg, R. M. E., L. Pel, K. Hazrati, K. Kopinga, and J. Marchand. 2001. “Pore water distribution in mortar during drying as determined by NMR.” Mater. Struct. 34 (10): 599–604. https://doi.org/10.1007/BF02482126.
Vinkler, M., and J. L. Vítek. 2016. “Drying concrete: Experimental and numerical modeling.” J. Mater. Civ. Eng. 28 (9): 04016070. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001577.
Xi, Y., and Z. P. Bazant. 1999. “Modeling chloride penetration in saturated concrete.” J. Mater. Civ. Eng. 11 (1): 58–65. https://doi.org/10.1061/(ASCE)0899-1561(1999)11:1(58).
Xi, Y., Z. P. Bažant, and H. M. Jennings. 1994a. “Moisture diffusion in cementitious materials adsorption isotherms.” Adv. Cem. Based Mater. 1 (6): 248–257. https://doi.org/10.1016/1065-7355(94)90033-7.
Xi, Y., Z. P. Bažant, L. Molina, and H. M. Jennings. 1994b. “Moisture diffusion in cementitious materials moisture capacity and diffusivity.” Adv. Cem. Based Mater. 1 (6): 258–266. https://doi.org/10.1016/1065-7355(94)90034-5.
Ye, G., P. Lura, and K. Breugel. 2006. “Modelling of water permeability in cementitious materials.” Mater. Struct. 39 (9): 877–885. https://doi.org/10.1617/s11527-006-9138-4.
Zhang, Z., M. Thiery, and V. Baroghel-Bouny. 2015. “Numerical modelling of moisture transfers with hysteresis within cementitious materials: Verification and investigation of the effects of repeated wetting-drying boundary conditions.” Cem. Concr. Res. 68: 10–23. https://doi.org/10.1016/j.cemconres.2014.10.012.

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 31Issue 8August 2019

History

Received: Jul 10, 2018
Accepted: Feb 4, 2019
Published online: May 22, 2019
Published in print: Aug 1, 2019
Discussion open until: Oct 22, 2019

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Research and Development Engineer, Giatec Scientific Inc., 245 Menten Place, Nepean, ON, Canada K2H 9E8 (corresponding author). ORCID: https://orcid.org/0000-0002-6210-2390. Email: [email protected]
Sarah De Carufel [email protected]
Research and Development Associate, Giatec Scientific Inc., 245 Menten Place, Nepean, ON, Canada K2H 9E8. Email: [email protected]
Pouria Ghods, Ph.D. [email protected]
P.Eng.
President and Chief Technical Officer, Giatec Scientific Inc., 245 Menten Place, Nepean, ON, Canada K2H 9E8. Email: [email protected]
Aali R. Alizadeh, Ph.D. [email protected]
P.Eng.
Chief Executive Officer, Giatec Scientific Inc., 245 Menten Place, Nepean, ON, Canada K2H 9E8. Email: [email protected]
Mustafa Salehi [email protected]
P.Eng.
Product Development Manager, Giatec Scientific Inc., 245 Menten Place, Nepean, ON, Canada K2H 9E8. Email: [email protected]

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