Multiscale Theoretical Model of Thermal Conductivity of Concrete and the Mesoscale Simulation of Its Temperature Field
Publication: Journal of Materials in Civil Engineering
Volume 35, Issue 1
Abstract
Temperature field analysis is the precondition of studying the heat and mass transfer and durability of a concrete building; thermal conductivity is a key parameter that affects the distribution of the temperature field of concrete. Through reasonable assumptions and simplifications, the relationship between the micro-microscopic composition of concrete and its macroscopic thermal conductivity is established, and a multiscale theoretical model of thermal conductivity considering the influence of interface transition zone (ITZ) is proposed. The model can predict the thermal conductivities of concrete and its components at an arbitrary saturation. Subsequently, the influence of saturation, water-cement ratio, volume fraction and type of coarse aggregate, and sand ratio is researched. Moreover, according to the prediction results of the proposed model, a mesoscale simulation of the concrete temperature field is carried out. The results demonstrate that the presence of aggregate and ITZ leads to the isotherm deflection and abruption at the junction of the phases. Meanwhile, the heat flux density at the corners of the polygonal aggregate is significantly higher than at other positions; the phenomenon, first named the “corner effect” in the research, causes the temperature field distribution of concrete containing polygonal aggregates to be more uneven than that of circular and elliptical aggregates, and it is more likely to produce temperature-induced cracks. The research helps explain the influence mechanism of material components on the thermal conductivity of concrete and the distribution of its temperature field and provides a basis for the fine simulation of concrete thermal crack growth and creep at variable temperatures.
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Acknowledgments
This work presented here was supported by the National Science Foundation of China (52078333) and the Tianjin Transportation Science and Technology Development Plan Project (G2018-29). The support is gratefully acknowledged.
References
Bentz, D. P. 2007. “Transient plane source measurements of the thermal properties of hydrating cement pastes.” Mater. Struct. 40 (10): 1073–1080. https://doi.org/10.1617/s11527-006-9206-9.
Bruggeman, D. A. G. 1935. “Calculation of various physics constants in heterogenous substances. Part I: Dielectricity constants and conductivity of mixed bodies from isotropic substances.” Ann. Phys. 416 (7): 636–664. https://doi.org/10.1002/andp.19354160705.
Caggiano, A., D. S. Schicchi, G. Etse, and M. Ripani. 2018. “Meso-scale response of concrete under high temperature based on coupled thermo-mechanical and pore-pressure interface modeling.” Eng. Fail. Anal. 85 (Mar): 167–188. https://doi.org/10.1016/j.engfailanal.2017.11.016.
Choktaweekarn, P., W. Saengsoy, and S. Tangtermsirikul. 2009. “A model for predicting thermal conductivity of concrete.” Mag. Concr. Res. 61 (4): 271–280. https://doi.org/10.1680/macr.2008.00049.
Eskandari-Ghadi, M. 2003. “Effective mechanical, transport and cross properties for distressed composite materials.” Doctoral dissertation, Dept. of Civil, Environment, and Architectural Engineering, Univ. of Colorado at Boulder.
Ghasemipor, V., and S. Piroti. 2018. “Experimental evaluation of the effect of water-cement ratio on compressive, abrasion strength, hydraulic conductivity coefficient and porosity of nano-silica concretes.” J. Appl. Eng. Sci. 8 (2): 17–24. https://doi.org/10.2478/jaes-2018-0013.
Hansen, T. C. 1986. “Physical structure of hardened cement paste. A classical approach.” Mater. Struct. 19 (6): 423–436. https://doi.org/10.1007/BF02472146.
Hasselman, D. P. H., and L. F. Johnson. 1987. “Effective thermal conductivity of composites with interfacial thermal barrier resistance.” J. Compos. Mater. 21 (6): 508–515. https://doi.org/10.1177/002199838702100602.
Hill, R. 1965. “A self-consistent mechanics of composite materials.” J. Mech. Phys. Solids 13 (4): 213–222. https://doi.org/10.1016/0022-5096(65)90010-4.
Honorio, T., B. Bary, and F. Benboudjema. 2018. “Thermal properties of cement-based materials: Multiscale estimations at early-age.” Cem. Concr. Compos. 87 (Mar): 205–219. https://doi.org/10.1016/j.cemconcomp.2018.01.003.
Isgor, O. B., and A. G. 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.
Jiang, J.-Y., G.-W. Sun, and C.-H. Wang. 2013. “Numerical calculation on the porosity distribution and diffusion coefficient of interfacial transition zone in cement-based composite materials.” Constr. Build. Mater. 39 (Feb): 134–138. https://doi.org/10.1016/j.conbuildmat.2012.05.023.
Jin, L., Y. Lan, R. Zhang, and X. Du. 2019. “Impact performances of RC beams at/after elevated temperature: A meso-scale study.” Eng. Fail. Anal. 105 (Nov): 196–214. https://doi.org/10.1016/j.engfailanal.2019.07.002.
Jin, L., R. Zhang, and X. Du. 2017. “Computational homogenization for thermal conduction in heterogeneous concrete after mechanical stress.” Constr. Build. Mater. 141 (Jun): 222–234. https://doi.org/10.1016/j.conbuildmat.2017.03.016.
Jin, L., R. Zhang, and X. Du. 2018. “Characterisation of temperature-dependent heat conduction in heterogeneous concrete.” Mag. Concr. Res. 70 (7): 325–339. https://doi.org/10.1680/jmacr.17.00174.
Khan, M. I. 2002. “Factors affecting the thermal properties of concrete and applicability of its prediction models.” Build. Environ. 37 (6): 607–614. https://doi.org/10.1016/S0360-1323(01)00061-0.
Kim, K.-H., S.-E. Jeon, J.-K. Kim, and S. Yang. 2003. “An experimental study on thermal conductivity of concrete.” Cem. Concr. Res. 33 (3): 363–371. https://doi.org/10.1016/S0008-8846(02)00965-1.
Kodur, V., S. Banerji, and R. Solhmirzaei. 2020. “Effect of temperature on thermal properties of ultrahigh-performance concrete.” J. Mater. Civ. Eng. 32 (8): 04020210. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003286.
Lu, B., and S. Torquato. 1992. “Nearest-surface distribution functions for polydispersed particle systems.” Phys. Rev. A 45 (8): 5530–5544. https://doi.org/10.1103/PhysRevA.45.5530.
Maxwell, J. C. 1954. A treatise on electricity and magnetism. 3rd ed. New York: Dover Publication.
Mehta, P. K. A. M., and P. Monteiro. 2014. Concrete: Microstructure, properties, and materials. New York: McGraw-Hill.
Min, H., W. Zhang, X. Gu, and R. Cerny. 2017. “Coupled heat and moisture transport in damaged concrete under an atmospheric environment.” Constr. Build. Mater. 143 (Jul): 607–620. https://doi.org/10.1016/j.conbuildmat.2017.03.163.
Norris, A. N. 1989. “An examination of the Mori-Tanaka effective medium approximation for multiphase composites.” J. Appl. Mech. 56 (1): 83–88. https://doi.org/10.1115/1.3176070.
Ollivier, J. P., J. C. Maso, and B. Bourdette. 1995. “Interfacial transition zone in concrete.” Adv. Cem. Based Mater. 2 (1): 30–38. https://doi.org/10.1016/1065-7355(95)90037-3.
Pan, Z., A. Chen, and X. Ruan. 2015. “Spatial variability of chloride and its influence on thickness of concrete cover: A two-dimensional mesoscopic numerical research.” Eng. Struct. 95 (Jul): 154–169. https://doi.org/10.1016/j.engstruct.2015.03.061.
Qomi, M. J. A., F.-J. Ulm, and R. J.-M Pellenq. 2015. “Physical origins of thermal properties of cement paste.” Phys. Rev. Appl. 3 (6): 064010. https://doi.org/10.1103/PhysRevApplied.3.064010.
Ren, Q. W., L. Shen, L. G. Sun, Y. Yan, and J. F. Gu. 2015. “Numerical study of the influence of cracks on effective thermal conductivity of concrete in meso-scale.” [In Chinese.] J. Hydraul. Eng. 46 (8): 892–899. https://doi.org/10.13243/j.cnki.slxb.20141525.
Samadianfard, S., and V. Toufigh. 2020. “Energy use and thermal performance of rammed-earth materials.” J. Mater. Civ. Eng. 32 (10): 04020276. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003364.
Shen, L., Q. Ren, N. Xia, L. Sun, and X. Xia. 2015. “Mesoscopic numerical simulation of effective thermal conductivity of tensile cracked concrete.” Constr. Build. Mater. 95 (Oct): 467–475. https://doi.org/10.1016/j.conbuildmat.2015.07.117.
Shen, L., Q. Ren, L. Zhang, and Y. Han. 2017. “Study of effective thermal conductivity of cracked concrete: Three-dimensional simulation and experimental validation.” [In Chinese.] J. Hydraul. Eng. 48 (6): 689–701. https://doi.org/10.13243/j.cnki.slxb.20160768.
Shen, L., X. Yao, D. Zhu, N. F. Alkayem, M. Cao, and Q. Ren. 2021. “A thermal cracking pattern-based multiscale homogenization method for effective thermal conductivity of steel fiber reinforced concrete after high temperature.” Int. J. Heat Mass Transfer 180 (Dec): 121732. https://doi.org/10.1016/j.ijheatmasstransfer.2021.121732.
Singh, A. K., and D. R. Chaudhary. 1992. “Experimental investigation on the thermophysical properties of moist porous materials.” Heat Recovery Syst. CHP 12 (2): 113–121. https://doi.org/10.1016/0890-4332(92)90038-j.
Sun, G., W. Sun, Y. Zhang, and Z. Liu. 2012. “Numerical calculation and influencing factors of the volume fraction of interfacial transition zone in concrete.” Sci. China Technol. Sci. 55 (6): 1515–1522. https://doi.org/10.1007/s11431-011-4737-x.
Tarnawski, V. R., T. Momose, and W. H. Leong. 2011. “Thermal conductivity of standard sands II. Saturated conditions.” Int. J. Thermophys. 32 (5): 984–1005. https://doi.org/10.1007/s10765-011-0975-1.
Waller, V., F. De Larrard, and P. Roussel. 1996. “Modelling the temperature rise in massive HPC structures.” In Proc., 4th Int. Symp. on Utilization of High-Strength/High-Performance Concrete, 415–421. Paris: RILEM.
Wang, L. C., Z. Chang, and J. W. Bao. 2017. “Prediction model for the thermal conductivity of concrete based on its composite structure.” [In Chinese.] J. Hydraul. Eng. 48 (7): 765–772. https://doi.org/10.13243/j.cnki.slxb.20170040.
Wang, Y. Y., C. Ma, Y. F. Liu, D. J. Wang, and J. P. Liu. 2018. “Effect of moisture content on thermal conductivity of concretes.” [In Chinese.] J. Build. Mater. 21 (4): 595–599. https://doi.org/10.3969/j.issn.1007-9629.2018.04.011.
Young, J. F., and W. Hansen. 1986. “Volume relationships for C-S-H formation based on hydration stoichiometries.” In Vol. 85 of Proc., MRS Online Proc. Library (OPL). Cambridge, UK: Cambridge University Press.
Zhang, W., H. Min, X. Gu, Y. Xi, and Y. Xing. 2015. “Mesoscale model for thermal conductivity of concrete.” Constr. Build. Mater. 98 (Nov): 8–16. https://doi.org/10.1016/j.conbuildmat.2015.08.106.
Zhang, W. P., H. G. Min, X. L. Gu, Y. P. Xi, and Y. S. Xing. 2015. “Mesoscale model for thermal conductivity of concrete.” Constr. Bulid. Mater. 98: 8–16. https://doi.org/10.1016/j.conbuildmat.2015.08.106.
Zhang, W. P., Y. S. Xing, and X. L. Gu. 2012. “Theoretical models of effective thermal conductivity of concrete based on composite materials in mesoscale.” [In Chinese.] Struct. Eng. 28 (2): 39–45. https://doi.org/10.3969/j.issn.1005-0159.2012.02.007.
Zhao, J., J.-J. Zheng, G.-F. Peng, and K. van Breugel. 2014. “A meso-level investigation into the explosive spalling mechanism of high-performance concrete under fire exposure.” Cem. Concr. Res. 65 (Nov): 64–75. https://doi.org/10.1016/j.cemconres.2014.07.010.
Zheng, J. J., Q. C. Li, and M. R. Jones. 2003. “Aggregate distribution in concrete with wall effect.” Mag. Concr. Res. 55 (3): 257–265. https://doi.org/10.1680/macr.2003.55.3.257.
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Received: Oct 26, 2021
Accepted: Apr 28, 2022
Published online: Oct 18, 2022
Published in print: Jan 1, 2023
Discussion open until: Mar 18, 2023
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