Thermo-Chemo-Mechanical Model for Concrete. I: Hydration and Aging
Publication: Journal of Engineering Mechanics
Volume 125, Issue 9
Abstract
In this work a coupled thermo-chemo-mechanical model for the behavior of concrete at early ages is proposed. The model allows simulation of the observed phenomena of hydration, aging, damage, and creep. It is formulated within an appropriate thermodynamic framework, from which the state equations are derived. In this first part, the formulation and assessment of the thermochemical aspects of the model are presented. It is based on the reactive porous media theory, and it can accurately predict the evolution in time of the hydration degree and the hydration heat production. The evolution of the compressive and tensile strengths and elastic moduli is related to the aging degree, a concept introduced to account for the effect of the curing temperature in the evolution of the mechanical properties. The short- and long-term mechanical behavior is modeled by means of a viscoelastic damage model that accounts for the aging effects. The formulation and assessment of the mechanical part of the model are relegated to a companion paper.
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References
1.
Acker, P. (1988). “Comportement mecanique du beton: Apports de l'aproche physico-chimique.” Raport de recherche N. 152, Laboratoire Ponts et Chaussées, Paris (in French).
2.
Acker, P. ( 1997). “Dispositif d'étude de la cinétique d'hydratation des bétons par calimétrie isotherme.” Bull. liaison Laboratoire Ponts et Chaussées, Paris, 210, 31–40.
3.
Bentz, D. P., Waller, V., and de Larrard, F. (1998). “Prediction of adiabatic temperature rise in conventional and high-performance concretes using a 3-d microstructural model.” Cement and Concrete Res., 28(2), 285–297.
4.
Bland, C., Poole, A., and Patel, H. (1994). “The microstructure of concrete cured at elevated temperatures.” Proc., Inst. of Mat. Conf. on Cement and Concrete Sci.
5.
Boumiz, A., Vernet, C., and Tenoudji, F. C. (1996). “Mechanical properties of cement pastes and mortars at early ages.” Adv. Cem. Bas. Mat., 3, 94–106.
6.
Byfors, J. (1980). “Plain concrete at early ages.” Tech. Rep. No. 3:80, Swedish Cement and Concrete Research Institute, Stockholm.
7.
Carino, N. J. (1981). “Temperature effects on the strength-maturity relation of mortar.” Tech. Rep. No. NBSSIR 81-2244, National Bureau of Standards, Washington, D.C.
8.
CEB-FIP model code 1990. (1990). Comité Euro-International du Beton.
9.
Chengju, G. (1989). “Maturity of concrete method for predicting early-stage strength.” ACI Mat. J., 86(4), 341–353.
10.
Copeland, L. E., Kantro, D. L., and Verbeck, G. ( 1960). “Chemistry of hydration of cement.” Proc. 4th Int. Symp., Chemistry of Cement, Paper IV-3.
11.
Coussy, O. (1995). Mechanics of porous media. Wiley, New York.
12.
de Schutter, G., and Taerwe, L. (1995). “General hydration model for portland cement and blast furnace slag cement.” Cement and Concrete Res., 25(3), 593–604.
13.
de Schutter, G., and Taerwe, L. (1996). “Degree of hydration based description of mechanical properties of early age concrete.” Mat. and Struct., Paris, 29, 335–344.
14.
de Schutter, G., and Taerwe, L. (1997). “Fracture energy of concrete at early ages.” Mat. and Struct., Paris, 30, 67–71.
15.
Hansen, P. F., and Nielsen, A. (1985). “Method for quick calculation of temperature differences in concrete members.” Proc., VTT Symp. 61.
16.
Instrucción para el proyecto y la ejecución de obras de hormigón en masa o armado. (1991). MOPT (in Spanish).
17.
Kim, J.-K., Moon, Y.-H., and Eo, S.-H. (1998). “Compressive strength development of concrete with different curing time and temperature.” Cement and Concrete Res., 28(12), 1761–1773.
18.
Kjellsen, K. O. ( 1990). “Physical and mathematical modeling of hydration and hardening of portland cement concrete as a function of time and curing temperature,” PhD thesis, Div. of Build. Mat., Norwegian Institute of Technology.
19.
Kjellsen, K. O., and Detwiler, R. J. (1993). “Later-age strength prediction by a modified maturity model.” ACI Mat. J., 90(3), 220–227.
20.
Mak, S. L., and Torri, K. (1995). “Strength development of high strength concretes with and without silica fume under the influence of high hydration temperatures.” Cement and Concrete Res., 25(8), 1791–1802.
21.
“Mass concrete.” (1987). ACI manual of concrete practice, ACI 207.1R-87, American Concrete Institute.
22.
Neville, A. M. (1981). Properties of concrete. Wiley, New York.
23.
Oloukon, F. A., Bourdette, E. G., and Deatherage, J. H. (1990). “Early-age concrete strength prediction by maturity—another look.” ACI Mat. J., 87(6), 565–572.
24.
Pantazopoulo, S. J., and Mills, R. H. (1995). “Microstructural aspects of the mechanical response of plain concrete.” ACI Mat. J., 92(6), 605–616.
25.
Parrot, L., Geiker, M., Gutteridge, W., and Killoh, D. (1990). “Monitoring portland cement hydration: Comparison of methods.” Cement and Concrete Res., 20(6), 919–926.
26.
Plowman, J. M. (1956). “Maturity and strength of concrete.” Mag. of Concrete Res., 8(22), 13–22.
27.
Rastrup, E. (1954). “Heat of hydration in concrete.” Mag. of Concrete Res., 6(17), 2–13.
28.
Reinhardt, H. W., Blaauwendraad, J., and Jongedijk, J. (1982). “Temperature development in concrete structures taking account of state dependent properties.” Proc., Int. Conf. of Concrete at Early Ages.
29.
Rostassy, F. S., Gustsch, A., and Laube, M. (1993). “Creep and relaxation of concrete at early ages—Experiments and mathematical modelling.” Proc., 5th Int. RILEM Symp. on. Creep and Shrinkage of Concrete, H. Mang, N. Bicanic, and R. de Borst, eds., E & FN Spon, London.
30.
Saul, A. G. A. (1951). “Principles underlying the steam curing of concrete at atmospheric pressure.” Mag. of Concrete Res., 2(6), 127–140.
31.
Shi, C., and Day, R. L. (1993). “Acceleration of strength gain of lime-pozzolan cements by thermal activation.” Cement and Concrete Res., 23(4), 824–832.
32.
Tan, K., and Gjorv, O. E. (1996). “Performance of concrete under different curing conditions.” Cement and Concrete Res., 26(3), 355–361.
33.
Torrenti, J. M. ( 1992). “La résistance du béton au trés jeunge age (in French).” Bull. liaison Laboratoire Ponts et Chaussées, 179, 31–41.
34.
Torrenti, J. M., Guénot, I., Laplante, P., Acker, P., and Larrand, F. (1994). “Numerical simulation of temperatures and stresses in concrete at early ages.” Proc., Int. Conf. on Computational Modelling of Concrete Struct., Z. P. Bazant and I. Carol, eds., Pineridge, Swansea, U.K., 559–568.
35.
Ulm, F. J., and Coussy, O. (1995). “Modeling of thermochemomechanical couplings of concrete at early ages.”J. Engrg. Mech., ASCE, 121(7), 785–794.
36.
Ulm, F. J., and Coussy, O. (1996). “Strength growth as chemo-plastic hardening in early age concrete.”J. Engrg. Mech., ASCE, 122(12), 1123–1132.
37.
van Breugel, K. (1992a). . “Hysmostruc: A computer based simulation model for hydration and formation of structure in cement based materials.” Hydration and setting of cements, A. Nonat and J. C. Mutin, eds., RILEM, Essen, Germany, 361–368.
38.
van Breugel, K. (1992b). “Numerical simulation and microstructural development in hardening cement-based materials.” Heron, 37(3), 1–61.
39.
Verbeck, G. J., and Helmuth, R. H. (1968). “Structures and physical properties of cement paste.” Proc., 5th Int. Symp. on the Chem. of Cement, 1–32.
40.
Volz, C. K., Tucker, R. L., Burns, N. H., and Lew, H. S. (1981). “Maturity effects on concrete strength.” Cement and Concrete Res., 11(1), 41–50.
41.
Walker, S., and Bloem, D. L. (1958). “Variations in portland cement.” Proc., ASTM, 58, 1009–1032.
42.
Walker, V., de Larrard, F., and Roussel, P. (1996). “Utilization of high-strength/high-performance concrete.” Proc., 4th Int. Symp. RILEM, RILEM, Essen, Germany, 415–421.
43.
Wild, S., Sabir, B. B., and Khatib, J. M. (1995). “Factor influencing strength development of concrete containing silica fume.” Cement and Concrete Res., 25(7), 1567–1580.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 9 • September 1999
Pages: 1018 - 1027
History
Received: Nov 25, 1998
Published online: Sep 1, 1999
Published in print: Sep 1999
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