Model Formulations for Numerical Creep Calculations for Concrete
Publication: Journal of Structural Engineering
Volume 122, Issue 3
Abstract
The numerical errors obtained using various creep models and calculation procedures are compared in order to identify suitable creep models to use in the simulation of time-dependent behavior of concrete-framed structures subjected to variable sustained loads. A hereditary integral (memory) model and a nonhereditary (state) model were investigated using various formulations and alternative integration procedures. The alternative models are compared in terms of convergence, accuracy in relation to number of time steps, and the efficiency of the numerical integration methods. While the error in all of the formulations is seen to decrease with the number of time steps used, calculations that use the mean stress in each time interval give much more accurate results than those that use the stress at the commencement of the time step. Comparable accuracies are obtained from state and memory models, although numerical instabilities arise if linearization of the exponential functions in the state model is attempted.
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References
1.
ACI Committee 209. (1990). “Prediction of creep, shrinkage and temperature effects in concrete structures.”ACI Manual of Concrete Practice Part 1, American Concrete Institute (ACI), Detroit, Mich.
2.
Bažant, Z. P. (1975). “Theory of creep and shrinkage in concrete structures: a precis of recent developments.”Mechanics today, S. Nemat-Nasser, ed., Vol. 2, Pergamon Press, U.K., 1–93.
3.
Bažant, Z. P., ed. (1988). “Mathematical modelling of creep and shrinkage of concrete.” John Wiley and Sons, New York, N.Y.
4.
Comite Euro-International Du Beton. (1978). “CEB-FIP model code for concrete structures.”Bull. D'Information N.124/125-E-CEB-FIP, CaCA translation, U.K.
5.
Gilbert, R. I. (1988). “Time effects in concrete structures.” Elsevier Science Publishers, Amsterdam, The Netherlands.
6.
Kawano, A., and Warner, R. F. (1994). “Effect of model formulation on numerical errors in step-by-step creep calculations for concrete.”Res. Rep. No. R113, Dept. of Civ. and Envir. Engrg., Univ. of Adelaide, Australia.
7.
Kenyon, J. M., and Warner, R. F. (1992). “Refined analysis of non-linear behaviour of concrete structures.”Res. Rep. No. R97, Dept. of Civ. Engrg., Univ. of Adelaide, Australia.
8.
McDonald, D. (1993). “Development of a simplified code procedure for the prediction of shrinkage and creep.”Proc., Fifth Int. RILEM Symp., Creep and Shrinkage of Concrete, E and FN Spon, London, U.K., 637–644.
9.
Scordelis, A. (1991). “Analysis of structural concrete systems.”IABSE Rep. Vol. 62, Zürich, Switzerland, 254–269.
10.
Shen, J.-H., and Walraven, J. C. (1993). “Linearity of creep functions and the superposition principle.”Proc., Fifth Int. RILEM Symp., Creep and Shrinkage of Concrete, E and FN Spon, London, U.K., 207–212.
11.
Yamada, Y. (1980). Plasticity and viscoelasticity . Baifukan, Tokyo, Japan (in Japanese).
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Copyright © 1996 American Society of Civil Engineers.
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Published online: Mar 1, 1996
Published in print: Mar 1996
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