TECHNICAL PAPERS
Dec 13, 2002

Cohesive Fracturing and Stresses Caused by Hydration Heat in Massive Concrete Wall

Publication: Journal of Engineering Mechanics
Volume 129, Issue 1

Abstract

Avoidance of cracking damage due to hydration is an important objective in the design of nuclear reactor containments. Assessment of the safety against cracking requires a realistic material model and its effective numerical implementation. Toward this goal, the paper develops a comprehensive material model which includes approximate simulation of cracking based on the principles of cohesive fracture mechanics, as well as an up-to-date creep formulation with aging and temperature effects. A standard heat conduction model is incorporated in the analysis as well. Since the crack width is the most important characteristic of cracking damage, particular attention is paid to crack spacing which governs crack width. The results of stability analysis of parallel crack systems based on fracture mechanics are used to estimate the spacing of open cracks as a function of their depth. Numerical simulations clarifying various aspects of hydration heat effects are presented.

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References

Bažant, Z. P.(1976), “Instability, ductility, and size effect in strain-softening concrete.” J. Eng. Mech. Div., 102, 331–344;
“Discussion.” 103, 357–358, 775–777, 104, 501–502.
Bažant, Z. P. (1982). “Crack band model for fracture of geomaterials.” Proc., 4th Int. Conf. on Numerical Methods in Geomechanics, Univ. of Alberta, Edmonton, Canada, 1137–1152.
Bažant, Z. P. (1995). “Creep and damage in concrete.” Materials Science of Concrete IV, J. Skalny and S. Mindess, eds., American Ceramic. Society, Westerville, Ohio, 355–389.
Bažant, Z. P. and Baweja, S. (2000). “Creep and shrinkage prediction model for analysis and design of concrete structures: Model B3.” Proc., Adam Neville Symposium: Creep and Shrinkage—Structural Design Effects, A. Al-Manaseer, ed., American Concrete Institute, Farmington Hills, Mich., 1–83 〈http://www.fsv.cvut.cz/kristek〉.
Bažant, Z. P. and Cedolin, L. (1991). Stability of structures: elastic, inelastic, fracture and damage theories, Oxford University Press, New York.
Bažant, Z. P. and Chern, J.-C. (1985a). “Concrete creep at variable humidity: constitutive law and mechanism.” Materials and structures, Vol. 20, RILEM, Paris, 1–20.
Bažant, Z. P., and Chern, J.-C.(1985b). “Strain softening with creep and exponential algorithm.” J. Eng. Mech., 111(3), 391–415.
Bažant, Z. P. and Kaplan, M. F. (1996). Concrete at high temperatures: material properties and mathematical models, Longman (Addison-Wesley), London.
Bažant, Z. P. and Najjar, L. J. (1972). “Nonlinear water diffusion in nonsaturated concrete.” Materials and structures, Vol. 5, RILEM, Paris, 3–20.
Bažant, Z. P. and Oh, B.-H. (1983). “Crack band theory for fracture of concrete.” Materials and structures, Vol. 16, RILEM, Paris, 155–177.
Bažant, Z. P., and Ohtsubo, H.(1977). “Stability conditions for propagation of a system of cracks in a brittle solid.” Mech. Res. Commun., 4(5), 353–366.
Bažant, Z. P., Ohtsubo, R., and Aoh, K.(1979). “Stability and post-critical growth of a system of cooling and shrinkage cracks.” Int. J. Fract., 15, 443–456.
Bažant, Z. P., and Planas, J. (1998). Fracture and size effect on concrete and other quasibrittle materials, CRC, Boca Raton, Fla.
Bažant, J. P., and Prasannan, S. (1989). “Solidification theory for concrete creep. I. Formulation,” J. Eng. Mech., 115(8), 1691–1703.
Bažant, Z. P., and Raftshol, W. J.(1982). “Effect of cracking in drying and shrinkage specimens.” Cem. Concr. Res., 12, 209–226;
“Discussion.” 797–798.
Bažant, Z. P., Şener, S., and Kim, J.-K.(1987). “Effect of cracking on drying permeability and diffusivity of concrete.” ACI Mater. J., 84, 351–357.
Bažant, Z. P., and Wahab, A. B.(1979). “Instability and spacing of cooling or shrinkage cracks.” J. Eng. Mech. Div., 105(5), 873–889.
Bažant, Z. P., and Wahab, A. B.(1980). “Stability of parallel cracks in solids reinforced by bars.” Int. J. Solids Struct., 16, 97–106.
Bažant, Z. P., and Xi, Y. (1994). “Drying creep of concrete: Constitutive model and new experiments separating its mechanism.” Mater. Struct. 27, RILEM, Paris, 3–14.
Bernander, S., and Gustafsson, S.(1981). “Temperature stresses in early age concrete due to hydration.” Nord Betong, Stockholm, 2, 25–31 (in Swedish, with English summary).
Bertero, V. V. and Polivka, M. (1972). “Influence of thermal exposure on mechanical characteristics of concrete.” Proc., Int. Seminar on Conrete for Nuclear Reactors, ACI Special Publication No. 34, Vol. 1., American Concrete Institute, Detroit, 505–531.
Carlson, R. W., and Forbrick, L. R.(1938). “Correlation of methods for measuring heat of hydration of cement.” Ind. Eng. Chem., 10, 382–386.
Carslaw, H. S. and Jaeger, J. C. (1959). Conduction of heat in solids, 2nd Ed., Oxford University Press, Oxford.
CEB-FIP Model Code. (1988). Bull. d’Information No. 190a, Comité Euro-International De Béton, EPFL, Lausanne.
Crank, J. (1957). Mathematics of Diffusion, Oxford University Press, Oxford.
Czernin, W. (1962). Cement chemistry and physics for civil engineers, Crosby and Lockwood.
Emborg, M. (1985). “Temperature stresses in massive concrete structures.” Licentiate thesis, OILL, Luleøa Institute of Technology, Luleøa, Sweden.
Hanson, J. A. (1953). “A ten-year study of creep properties of concrete.” Concrete Laboratory Rep. No. SP-38, U.S. Dept. of the Interior, Bureau of Reclamation, Denver.
Harboe, E. M. (1958). “A comparison of the instantaneous and sustained modulus of elasticity of concrete.” Concrete Laboratory Rep. No. C-854, Division of Engineering Laboratories, U.S. Dept. of the Interior, Bureau of Reclamation, Denver.
Jirásek, M., and Bažant, Z. P. (2002). Inelastic analysis of structures, Chap. 28 and 29, Wiley, London.
Lea, F. M. (1970). The chemistry of cement and concrete, Arnold, London.
Lea, F. M., and Jones, F. R.(1935). “The rate of hydration of Portland cement and its relations to the rate of development of strength.” J. Soc. Chem. Ind. (London), 54(10), 63–70T.
Maslov, G. N. (1940). “Thermal stress states in concrete masses, with account of concrete creep.” Izvestia Nauchno-Issledovatel’skogo Instituta Gidrotechniki, Vol. 28, Gosenergoizdat, Moscow, 28, 175–188 (in Russian).
Neville, A. M. (1981). Properties of concrete, Pitman, London.
Reinhardt, H. W., and Cornelissen, H. A. W.(1984). “Post-peak cyclic behavior of concrete in uniaxial tensile and alternating tensile and compressive loading.” Cem. Concr. Res., 14(2), 263–270.
RILEM Committee TC 69. (1988). “State of the art in mathematical modeling of creep and shrinkage of concrete.” Mathematical modeling of creep and shrinkage of concrete, Z. P. Bažant, ed., Wiley, Chichester, 57–215.

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 1January 2003
Pages: 21 - 30

History

Received: Oct 3, 2001
Accepted: May 3, 2002
Published online: Dec 13, 2002
Published in print: Jan 2003

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Authors

Affiliations

Zdeněk P. Bažant, F.ASCE
McCormick School Professor and W. P. Murphy Professor of Civil Engineering and Materials Science, Northwestern Univ., 2145 Sheridan Rd., Evanston, IL 60208 (corresponding author).
Jin-Keun Kim
Professor, Dept. of Civil Engineering, Korea Advanced Institute of Science and Technology, 373-1 Kusong, Yusong, Taejon 305-701, Korea.
Sang-Eun Jeon
Student, Dept. of Civil Engineering, Korea Advanced Institute of Science and Technology, 373-1 Kusong, Yusong, Taejon 305-701, Korea.

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