Technical Papers
Mar 22, 2017

Simplified Constitutive Model for Fatigue Behavior of Concrete in Compression

Publication: Journal of Materials in Civil Engineering
Volume 29, Issue 7

Abstract

In the literature, three basic assumptions are used to modify monotonic constitutive models in order to simplify fatigue analysis of concrete. First, the fatigue hysteresis loop at failure is assumed to intersect the monotonic stress–strain envelope. Second, it is assumed that the peak stress of a fatigue-damaged concrete element intersects the monotonic stress–strain envelope. Third, the centerlines of fatigue hysteresis loops are assumed to converge at a common point. Although the modifications supposedly lead to improved predictions, experimental verifications of these assumptions are currently insufficient to justify their implementation in the fatigue analysis of complex and large concrete structures where considerations of safety and cost-effectiveness are expedient. From experimental verifications conducted to ascertain the conservative level of these assumptions, it was found that the first and second assumptions seem reasonable, while the third assumption was inaccurate and thus in need of improvement. As such, a new convergence point is proposed. The constitutive models for high-strength and normal-strength concrete in compression were also modified as functions of the irreversible strain and residual strength. Further, a model was proposed for the irreversible strain accumulation, and its corroboration with experimental results showed good agreement.

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Acknowledgments

The authors gratefully acknowledge the Natural Science and Engineering Research Council (NSERC) of Canada and Hatch Ltd. for the invaluable contributions and financial support to this research. The authors also acknowledge the assistance received from the Niger Delta Development Commission and the Delta State Government of Nigeria.

References

Al-Gadhib, A. H., Baluch, M. H., Shaalan, A., and Khan, A. R. (2000). “Damage model for monotonic and fatigue response of high strength concrete.” Int. J. Damage Mech., 9(1), 57–78.
Cachim, P. B., Figueiras, J. A., and Pereira, P. A. A. (2002). “Fatigue behaviour of fibre-reinforced concrete in compression.” Cem. Concr. Compos., 24(2), 211–217.
Chaboche, J. (1981). “Continuum damage mechanics: A tool to describe the phenomena before crack initiation.” Nucl. Eng. Des., 64(2), 233–247.
Chaboche, J. (1988a). “Continuum damage mechanics. Part I: General concepts.” J. Appl. Mech., 55(1), 59–72.
Chaboche, J. (1988b). “Continuum damage mechanics. Part II: Damage growth, crack initiation, and crack growth.” J. Appl. Mech., 55(1), 59–72.
Collins, M. P., and Mitchell, D. (1997). Prestressed concrete structures, Response Publications, Toronto and Montreal.
Dafalias, Y. F., and Popov, E. P. (1977). “Cyclic loading for materials with a vanishing elastic region.” Nucl. Eng. Des., 41(2), 293–302.
Eligehausen, R., Kazic, M., and Sippel, T. M. (1992). “Creep and fatigue analysis of reinforced concrete structures.” Proc., Riga, Latvia, Int. Conf. Bond in Concrete from Research to Practice, Riga Technical Univ., Riga, Latvia.
Hognestad, E. (1951). “A study on combined bending and axial load in reinforced concrete members.” University of Illinois Engineering Experiment Station, Univ. of Illinois, Urbana-Champaign, IL, 43–46.
Holmen, J. O. (1982). “Fatigue of concrete by constant and variable amplitude loading.” ACI SP 75(4), 71–110.
Isojeh, B. (2016). “Fatigue behaviour of steel fibre concrete in direct tension.” ACI Mater. J., in press.
Isojeh, B., El-Zeghayar, M., and Vecchio, F. J. (2016). “Concrete damage under fatigue loading in uniaxial compression.” ACI Mater. J., in press.
Karsan, I. D., and Jirsa, J. O. (1969). “Behaviour of concrete under compressive loadings.” J. Struct. Div., 95(12), 2543–2563.
Lemaitre, J. (1986). “Local approach of fracture.” J. Eng. Fract. Mech., 25(5–6), 523–537.
Lemaitre, J., and Chaboche, J. L. (1990). Mechanics of solid materials. Cambridge University Press, Cambridge, U.K.
Medeiros, A., et al. (2015). “Effect of the loading frequency on the compressive fatigue behavior of plain and fiber reinforced concrete.” Int. J. Fatigue, 70, 342–350.
Otter, D. E., and Naaman, A. E. (1989). “Model for response of concrete to random compressive loads.” J. Struct. Eng., 2794–2809.
Park, Y. J. (1990). “Fatigue of concrete under random loadings.” J. Struct. Eng., 3228–3235.
Petryna, Y. S., Pfanner, D., Stangenberg, F., and Kratzig, W. B. (2002). “Reliability of reinforced concrete structures under fatigue.” Reliab. Eng. Syst. Saf., 77(3), 253–261.
Popovics, S. (1970). “A review of stress–strain relationships for concrete.” ACI J., 67(3), 243–248.
Raithby, K. D., and Galloway, J. W. (1974). “Effects of moisture condition, age and rate of loading on fatigue of plain concrete.” ABELES Symp., American Concrete Institute, Detroit, 15–34.
Sparks, P. R., and Menzies, J. B. (1973). “The effect of rate of loading upon the static and fatigue strength of plain concrete in compression.” Mag. Concr. Res., 25(83), 73–80.
Su, E. C. M., and Hsu, T. T. C. (1988). “Biaxial compression fatigue and discontinuity of concrete.” ACI Mater. J., 85(3), 178–188.
Suaris, W., Ouyang, C., and Fernando, V. M. (1990). “Damage model for cyclic loading of concrete.” J. Eng. Mech., 1020–1035.
Tamulenas, V., Gelazius, V., and Ramanauskas, R. (2014). “Calculation technique for stress–strain analysis of RC elements subjected to high-cycle compression.” Mokslas: Lietuvos Ateitis, 6(5), 468–473.
Torrenti, J. M., Pijaudier-Cabot, G., and Reynouard, J. (2010). Mechanical behaviour of concrete: Cyclic and dynamic loading, fatigue of structural concrete, ISTE and Wiley, Hoboken, NJ, 185–223.
Vega, I. M., Bhatti, M. A., and Nixon, W. A. (1995). “A nonlinear fatigue damage model for concrete in tension.” Int. J. Damage Mech., 4(4), 362–379.
Xiang, T., and Zhao, R. (2007). “Reliability evaluation of chloride diffusion in fatigue damaged concrete.” Eng. Struct., 29(7), 1539–1547.
Zanuy, C., Fuente, P., and Albajar, L. (2007). “Effect of fatigue degradation of the compression zone of concrete in reinforced concrete sections.” Eng. Struct., 29(11), 2908–2920.
Zhang, B., et al. (1996). “Effects of loading frequency and stress reversal on fatigue life of plain concrete.” Mag. Concr. Res., 48(177), 361–375.
Zhang, B., Phillips, D. V., and Green, D. R. (1998). “Sustained loading effect on the fatigue life of plain concrete.” Mag. Concr. Res., 50(3), 263–276.
Zhang, W., and Cai, Y. (2010). “Continuum damage mechanics and numerical applications.” Springer, Heidelberg, Germany.
Zuradzka, S. S. (2008). Fatigue strength of concrete under sulphate attack, Cracow Univ. of Technology, Cracow, Poland, 31–155.

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 29Issue 7July 2017

History

Received: Apr 27, 2016
Accepted: Oct 20, 2016
Published online: Mar 22, 2017
Published in print: Jul 1, 2017
Discussion open until: Aug 22, 2017

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Authors

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Ph.D. Candidate, Dept. of Civil Engineering, Univ. of Toronto, Toronto, ON, Canada M5S 1A4 (corresponding author). ORCID: https://orcid.org/0000-0002-5095-5134. E-mail: [email protected]
Maria El-Zeghayar, Ph.D.
Civil Engineer, Renewable Power Business Unit, Hatch Ltd., Niagara falls, ON, Canada L2E 7J7.
Frank J. Vecchio, Ph.D.
P.Eng.
Professor, Dept. of Civil Engineering, Univ. of Toronto, Toronto, ON, Canada M5S 1A4.

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