Cellular Automata Approach to Hydration Heat of Concrete Based on Equivalent Time

Abstract:

Cellular automata can be used to analyze a physical system which is satisfying differential equations. A cellular automata program for a thermal analysis of hydration heat was developed. Based on the fundamental theory of cellular automata, the heat conduction equation was deduced for validating the cellular automata approach. By introduction of the concept of equivalent time, the variation of the chemical reaction rate of hydration heat with temperature was studied by use of the Arrhenius function. The relationship between the adiabatic temperature rise and equivalent time was determined by analyzing testing data．A parametric analysis of ambient temperature and concrete slab thickness was also conducted. The temperature rise of concrete increases with increasing ambient temperature and thickness of the slab.

• Periodical: Materials Science Forum (Volume 982)
• Pages: 181-188
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.982.181
• Online since: March 2020
• Authors: Yi Liu*, Yue Ting Yang, Ling Chen, Jing Zeng
• Keywords: Adiabatic Temperature Rise, Cellular Automat, Concrete, Equivalent Time, Heat of Hydration

References

[1] Vedran Ivanac, Bojana Dalbelo Basic, and Zvonimir Vanjak: Construction and Evaluation of Cellular Automata Lattice Based on the Semantics of an Urban Traffic Network, Journal of Cellular Automata, vol. 8, no. 5/6(2013), pp.417-428.

DOI: 10.1007/978-3-642-33350-7_83

[2] Juraj Cirbus, Michal Podhoranyi: Cellular Automata for the Flow Simulations on the Earth Surface, Optimization Computation Process, Applied Mathematics & Information Sciences, vol. 7, no. 6(2013), pp.2149-2158.

DOI: 10.12785/amis/070605

[3] Lorenza Manenti, Sara Manzoni, and Stefania Bandini: A Stochastic Cellular Automata for Modeling Pedestrian Groups Distribution, Journal of Cellular Automata, vol. 8, no. 5/6(2013), pp.321-332.

DOI: 10.1007/978-3-642-33350-7_31

[4] E. Martinelli, E. A. B. Koenders, and A. Caggiano: A numerical recipe for modelling hydration and heat flow in hardening concrete, Cement and Concrete Composites, vol. 40(2013), pp.48-58.

DOI: 10.1016/j.cemconcomp.2013.04.004

[5] M. Briffaut, F. Benboudjema, J. M. Torrenti, et al: Numerical analysis of the thermal active restrained shrinkage ring test to study the early age behavior of massive concrete structures, Engineering Structures, vol. 33, no. 4(2011), pp.1390-1401.

DOI: 10.1016/j.engstruct.2010.12.044

[6] J. H. Hattel, J. Thorborg: A numerical model for predicting the thermomechanical conditions during hydration of early-age concrete. Applied Mathematical Modelling, vol. 27, no. 1(2003), pp.1-26.

DOI: 10.1016/s0307-904x(02)00082-3

[7] Z. M. Zhang, Y. Zhang, and Z. T. Song: Analysis of hydration heat induced temperature rise in massive concrete walls, Journal of Hohai University (Natural Sciences), vol. 30, no. 4(2002), pp.22-27.

[8] M. N. Amin, J. S. Kim, Y. Lee, et al: Simulation of the thermal stress in mass concrete using a thermal stress measuring device, Cement and Concrete Research, vol. 39, no. 3(2009), pp.154-164.

DOI: 10.1016/j.cemconres.2008.12.008

[9] I. Chu, Y. Lee, M. N. Amin, et al: Application of a thermal stress device for the prediction of stresses due to hydration heat in mass concrete structure, Construction and Building Materials, vol. 45(2013), pp.192-198.

DOI: 10.1016/j.conbuildmat.2013.03.056

[10] Y. Y. Lu, J. R. Zhang, and Z. J. Li: Study on hydration process of early-age concrete using embedded active acoustic and non-contact complex resistivity methods, Construction and Building Materials, vol. 46(2013), pp.183-192.

DOI: 10.1016/j.conbuildmat.2013.04.032

[11] J. Zhang, L. Qin, and Z. J. Li: Hydration monitoring of cement-based materials with resistivity and ultrasonic methods, Materials and Structures, vol. 42, no. 1(2009), pp.15-24.

DOI: 10.1617/s11527-008-9363-0

[12] F. Biondini, F. Bontempi, D. M. Frangopol, et al: Cellular automata approach to durability analysis of concrete structures in aggressive environments. Journal of Structural Engineering, vol. 130, no. 11(2004), pp.1724-1737.

DOI: 10.1061/(asce)0733-9445(2004)130:11(1724)

[13] C. I. Christov: On a Higher-gradient Generalization of Fourier's Law of Heat Conduction, AIP Conference Proceedings, vol. 946(2007), pp.11-22. United States, IOP Institute of Physics Publishing Ltd.

[14] H. Asan: Numerical computation of time lags and decrement factors for different building materials, Building and Environment, vol. 41, no. 5(2006), pp.615-620.

DOI: 10.1016/j.buildenv.2005.02.020

[15] C. Cuadrado-Laborde, L.C Damonte, and L. Mendoza-Zélis: Theoretical treatment of a self-sustained, ball milling induced, mechanochemical reaction in the Fe2O3-Al system, Materials Science and Engineering A, vol. 355, no. 1-2(2003), pp.106-113.

DOI: 10.1016/s0921-5093(03)00075-3

[16] G. De Schutter: Finite element simulation of thermal cracking in massive hardening concrete elements using degree of hydration based material laws, Computers & Structures, vol. 80, no. 27-30(2002), pp.2035-2042.

DOI: 10.1016/s0045-7949(02)00270-5

[17] Z. M. Zhang, S. R. Feng, Q. C. Shi, et al: Adiabatic temperature rise of concrete based on equivalent time, Journal of Hohai University (Natural Sciences), vol. 32, no. 5(2004), pp.573-577.

[18] A. Abbasi, P. J. Hogg: A model for predicting the properties of the constituents of a glass fibre rebar reinforced concrete beam at elevated temperatures simulating a fire test, Composites Part B: Engineering, vol. 36, no. 5(2005), pp.384-393.

DOI: 10.1016/j.compositesb.2005.01.005

[19] D. P. Bentz, V. Waller, and F. de Larrard: Prediction of Adiabatic Temperature Rise in Conventional and High-Performance Concretes Using a 3-D Microstructural Model, Cement and Concrete Research, vol. 28, no. 2(1998), pp.285-297.

DOI: 10.1016/s0008-8846(97)00264-0