TECHNICAL PAPERS
Jan 1, 1993

Stochastic Drying and Creep Effects in Concrete Structures

Publication: Journal of Structural Engineering
Volume 119, Issue 1

Abstract

The paper calculates how an aging concrete structure that has an uncertain constitutive law and random material properties responds to the random process of environmental humidity history. The time evolution of stochastic porehumidity distributions is solved from a linear diffusion equation. The stresses produced by the shrinkage strains are calculated taking concrete creep into account. The environmental humidity process is described by three components: one Poisson square‐wave random process and two random‐phase processes, having periods of one year and one day, the latter of which is found to have a negligible effect. The response to the random‐phase process is calculated by the spectral method combined with equal probability sampling. The Poisson‐process component is important for very long times since it produces a response whose standard deviation grows as the square root of time; the nonstationary random‐phase component stabilizes after about 10 years. The influence of the random‐phase process reaches a depth of about 20 cm below the concrete surface; that of the Poisson process reaches only about 5 cm. The randomness of the material parameters and the uncertainty factor of the material model influence the entire structure. A numerical example of a cylindrical wall is given and simplified explicit formulas for estimating the response statistics are derived.

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References

1.
Anderson, T. W. (1971). The statistical analysis of time series. John Wiley & Sons, Inc., New York, N.Y.
2.
Bažant, Z. P. (1982). “Mathematical models for creep and shrinkage of concrete.” Creep and shrinkage in concrete structures, Z. P. Bažant and F. H. Wittmann, eds., John Wiley & Sons, London, England, 163–256.
3.
Bažant, Z. P. (1986). “Response of aging linear system to ergodic random input.” J. Engrg. Mech., ASCE, 112(3), 322–342.
4.
Bažant, Z. P., and Chern, J. C. (1985). “Concrete creep at variable humidity: Constitutive law and mechanism.” Mat. and Struct., Paris, France, 18(103), 1–20.
5.
Bažant, Z. P., Kim, J.‐K., and Panula, L. (1991a). “Improved prediction model for time dependent deformation of concrete.” Mat. and Struct., Paris, France, 24(143), 327–345.
6.
Bažant, Z. P., Kim, J.‐K, and Panula, L. (1991b). “Improved prediction model for time dependent deformation of concrete.” Mat. and Struct., Paris, France, 24(144), 409–421.
7.
Bažant, Z. P., Kim, J.‐K., Panula, L., and Xi, Y. (1992a). “Improved prediction model for time dependent deformation of concrete.” Mat. and Struct., Paris, France, 25(145), 21–28.
8.
Bažant, Z. P., Kim, J.‐K., Panula, L., and Xi, Y. (1992b). “Improved prediction model for time dependent deformation of concrete.” Mat. and Struct., Paris, France, 25(146), 84–94.
9.
Bažant, Z. P., Kim, J.‐K., and Panula, L. (1992c). “Improved prediction model for time dependent deformation of concrete.” Mat. and Struct., Paris, France, 25(147), 163–169.
10.
Bažant, Z. P., Kim, J.‐K., and Panula, L. (1992d). “Improved prediction model for time dependent deformation of concrete.” Mat. and Struct., Paris, France, 25(148), 219–223.
11.
Bažant, Z. P., and Liu, K. L. (1985). “Random creep and shrinkage in structures: Sampling.” J. Struct. Engrg., ASCE, 111(5), 1113–1134.
12.
Bažant, Z. P., and Najjar, L. J. (1972). “Nonlinear water diffusion in nonsaturated concrete.” Mat. and Struct., Paris, France, 5, 3–20.
13.
Bažant, Z. P., and Thonguthai, W. (1978). “Pore pressure and drying of concrete at high temperature.” J. Engrg. Mech. Div., ASCE, 104(5), 1059–1079.
14.
Bažant, Z. P., and Wang, T. S. (1984a). “Spectral analysis of random shrinkage stresses in concrete.” J. Engrg. Mech., ASCE, 110(2), 173–186.
15.
Bažant, Z. P., and Wang, T. S. (1984b). “Spectral finite element analysis of random shrinkage in concrete.” J. Struct. Engrg., ASCE, 110(9), 2196–2210.
16.
Bažant, Z. P., and Wang, T. S. (1984c). “Algorithm for aging viscoelastic structures under periodic load.” J. Engrg. Mech., ASCE, 110(6), 972–984.
17.
Bažant, Z. P., and Wu, S. T. (1974). “Rate‐type creep law of aging concrete based on Maxwell chain.” Mat. and Struct., Paris, France, 7(37), 45–60.
18.
Bažant, Z. P., and Xi, Y. (1988). “Prediction of concrete creep and shrinkage by sampling on the basis of correlated random material parameters.” Proc., 5th ASCE Specialty Conf., New York, N.Y.
19.
Bažant, Z. P., and Xi, Y. (1989). “Probabilistic prediction of creep and shrinkage in concrete structure: Combined sampling and spectral approach.” 5th Int. Conf. on Struct. Safety and Reliability (ICOSSAR), A. H. S. Ang and M. Shinozuka, eds., ASCE, New York, N.Y.
20.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, 2nd Ed., Clarendon Press, Oxford, England.
21.
Cinlar, E. (1975). Introduction to stochastic processes. Prentice‐Hall Inc., Englewood Cliffs, N.J.
22.
Diamantidis, D., Madsen, H. O., and Rackwitz, R. (1983). “On the variability of the creep coefficient of structural concrete.” Mat. and Struct., Paris, France, 17(100), 321–328.
23.
Korn, G. A. (1966). Random process simulation and measurements. McGraw‐Hill Book Co., Inc., New York, N.Y.
24.
Madsen, H. O., and Bažant, Z. P. (1983). “Uncertainty analysis of creep and shrinkage effects in concrete structures.” J. ACI, 80(Mar.–Apr.), 116–121.
25.
Madsen, H. O., Krenk, S., and Lind, N. C. (1986). Methods of structural safety. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
26.
McKay, M. D. (1979). “A Method of analysis for computer codes.” Rep., Los Alamos National Laboratory, Los Alamos, N.M.
27.
Mises, R. V. (1964). “Mathematical theory of probability and statistics.” Academic Press, New York.
28.
Neville, A. M. (1981). Properties of concrete. Pitman, London, England.
29.
Nigam, N. C. (1983). Introduction to random vibration. MIT Press, Cambridge, Mass.
30.
“Observations at 3 hour interval.” (1973–74). Rep., U.S. Department of Commerce, National Climatic Center, Midway Station, Chicago, Ill.
31.
Parzen, E. (1962). Stochastic processes. Holden Day, Inc., New York, N.Y.
32.
“State‐of‐art in mathematical modeling of creep and shrinkage.” (1989). Mathematical modeling of creep and shrinkage of concrete; RILEM Committee TC69, Z. P. Bažant, ed., John Wiley & Sons, London, England.
33.
Tsubaki, T. et al. (1988). “Probabilistic models.” Mathematical modeling of creep and shrinkage of concrete, Z. P. Bažant, ed., John Wiley & Sons, London, England.
34.
Tsubaki, T., and Bažant, Z. P. (1982). “Random shrinkage stresses in aging viscoelastic vessel.” J. Engrg. Mech. Div., ASCE, 108(3), 527–545.
35.
Xi, Y., and Bažant, Z. P. (1989). “Prediction of concrete creep and shrinkage by sampling on the basis of correlated random material parameters.” Probabilistic Engrg. Mech., 4(4), 174–186.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 119Issue 1January 1993
Pages: 301 - 322

History

Received: Jun 20, 1991
Published online: Jan 1, 1993
Published in print: Jan 1993

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Authors

Affiliations

Zdeněk P. Bažant, Fellow, ASCE
Walter P. Murphy, Prof. of Civ. Engrg., Northwestern University, Evanston, IL 60208‐3109
Yunping Xi
Grad. Res. Asst., Appl. Sci., McCormick School of Engrg. and 2145 Sheridan Rd., Northwestern University, Evanston, IL

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