Technical Papers
Nov 15, 2019

Fracture Mechanics–Based Fatigue Life Prediction Method for RC Slabs in Punching Shear Failure Mode

Publication: Journal of Structural Engineering
Volume 146, Issue 1

Abstract

In the last few decades, a punching shear failure model has been commonly observed in reinforced concrete (RC) bridge deck slabs around the world, which makes studies on the fatigue performance of RC bridge slabs an urgency. This paper focuses on the critical punching shear cracks, and the analytical fatigue life prediction method developed for RC bridge deck slabs that fail in a punching shear mode under moving wheel loads. In the proposed method, the fatigue crack growth is assumed to be as a result of concrete bridging stress degradation and rebar-concrete interface bond-slip degradation. With the obtained crack growths of the punching shear cracks, the fatigue life is predicted following a certain punching shear failure criterion combined with experimental observations. The reliability of this method is then confirmed with a positive outcome between predictions from the proposed method and results from experiments as well as some empirical equations from statistically fitting experimental results.

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Data Availability Statement

All data, models, and code generated or used during this study appear in the published article.

Acknowledgments

We are grateful to Dr. K. Kakuma from Civil Engineering Research Institute for Cold Region for providing us with helpful suggestions and unpublished experimental data.

References

AASHTO. 1983. Standard method of test for rapid determination of the chloride permeability of concrete. AASHTO 277. Washington, DC: AASHTO.
Abe, T. 2005. “Study on punching shear load-carrying capacity of RC slab.” [In Japanese.] J. Coll. Ind. Tech. Nihon Univ. 38 (2): 11–21.
ACI (American Concrete Institute). 1999. Building code requirements for structural concrete (ACI 318-99) and commentary (318R-99). ACI 318. Farmington Hills, MI: ACI.
Balázs, G., and R. Koch. 1992. “Influence of load history on bond behavior.” [In German.] In Proc., Int. Conf. on Bond in Concrete: From Research to Practice, 7.1–10. Riga, Latvia: Euro-International Concrete Committee, Riga Technical Univ.
Belarbi, A., and T. T. Hsu. 1994. “Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete.” ACI Struct. J. 91 (4): 465–474.
Building Seismic Safety Council. 2000. Prestrandard and commentary for the seismic rehabilitation of buildings. Washington, DC: Building Seismic Safety Council.
CEB-FIP (Comité Euro-International du Béton—Fédération Internationale de la Précontrainte). 1991. Model code 1990, 87–109. Paris: CEB.
CEN (European Committee for Standardization). 1991. Design of concrete structures. Part 1: General rules and rules for buildings. Eurocode 2. Brussels, Belgium: CEN.
Dehestani, M., and S. Mousavi. 2015. “Modified steel bar model incorporating bond-slip effects for embedded element method.” Constr. Build. Mater. 81: 284–290. https://doi.org/10.1016/j.conbuildmat.2015.02.027.
Deng, P., and T. Matsumoto. 2017a. “Estimation of the rebar force in RC members from the analysis of the crack mouth opening displacement based on fracture mechanics.” J. Adv. Concr. Technol. 15 (2): 81–93. https://doi.org/10.3151/jact.15.81.
Deng, P., and T. Matsumoto. 2017b. “Weight function determinations for shear cracks in reinforced concrete beams based on finite element method.” Eng. Fract. Mech. 177 (May): 61–78. https://doi.org/10.1016/j.engfracmech.2017.03.046.
Drar, A. A. M., and T. Matsumoto. 2016. “Fatigue analysis of RC slabs reinforced with plain bars based on the bridging stress degradation concept.” J. Adv. Concr. Technol. 14 (1): 21–34. https://doi.org/10.3151/jact.14.21.
El-Ariss, B. 2007. “Behavior of beams with dowel action.” Eng. Struct. 29 (6): 899–903. https://doi.org/10.1016/j.engstruct.2006.07.008.
Esfahani, M. R., and M. R. Kianoush. 2005. “Development/splice length of reinforcing bars.” ACI Struct. J. 102 (1): 22.
Graddy, J. C., J. Kim, J. H. Whitt, N. H. Burns, and R. E. Klingner. 2002. “Punching-shear behavior of bridge decks under fatigue loading.” ACI Struct. J. 99 (3): 257–266.
Harajli, M. H., B. S. Hamad, and A. A. Rteil. 2005. “Effect of confinement on the bond strength between steel bars and concrete.” ACI Struct. J. 102 (3): 496. https://doi.org/10.1007/s11527-005-9054-z.
Hordijk, D. A. 1992. “Tensile and tensile fatigue behaviour of concrete; Experiments, modelling and analyses.” J. Heron 37 (1): 79.
Jelić, I., M. Pavlović, and M. Kotsovos. 1999. “A study of dowel action in reinforced concrete.” Mag. Concr. Res. 51 (2): 131–141. https://doi.org/10.1680/macr.1999.51.2.131.
Li, V. C., and T. Matsumoto. 1998. “Fatigue crack growth analysis of fiber reinforced concrete with the effect of interfacial bond degradation.” Cem. Concr. Compos. 20 (5): 339–351. https://doi.org/10.1016/S0958-9465(98)00010-9.
Maeda, Y., and S. Matsui. 1984. “Punching shear load equation of reinforced concrete slabs.” [In Japanese.] Doboku Gakkai Ronbunshu. 1984 (348): 133–141.
Maekawa, K., E. Gebreyouhannes, T. Mishima, and X. An. 2006. “Three-dimensional fatigue simulation of RC slabs under traveling wheel-type loads.” J. Adv. Concr. Technol. 4 (3): 445–457. https://doi.org/10.3151/jact.4.445.
Maekawa, K., H. Okamura, and A. Pimanmas. 2003. Non-linear mechanics of reinforced concrete. Boca Raton, FL: CRC Press.
Maekawa, K., and J. Qureshi. 1996. “Computational model for reinforcing bar embedded in concrete under combined axial pullout and transverse displacement.” Doboku Gakkai Ronbunshu. 1996 (538): 227–239. https://doi.org/10.2208/jscej.1996.538_227.
Maekawa, K., and J. Qureshi. 1997. “Stress transfer across interfaces in reinforced concrete due to aggregate interlock and dowel action.” Doboku Gakkai Ronbunshu. 1997 (557): 159–172. https://doi.org/10.2208/jscej.1997.557_159.
Matsui, S. 1987. “Fatigue strength of RC-slabs of Highway Bridges by Wheel Running.” [In Japanese.] Proc. JCI 9 (2): 627–632.
Matsui, S. 2007. Road bridge deck: Design, construction, and maintenance. [In Japanese.] Tokyo: Morikita Publishing.
Matsumoto, T., and V. C. Li. 1999. “Fatigue life analysis of fiber reinforced concrete with a fracture mechanics based model.” Cem. Concr. Comp. 21 (4): 249–261. https://doi.org/10.1016/S0958-9465(99)00004-9.
Mitamura, H., K. Syakushiro, T. Matsumoto, and S. Matsui. 2012. “Experimental study on fatigue durability of RC deck slabs with overlay retrofit.” [In Japanese.] J. Struct. Eng. 58A: 1166–1177.
Oh, B. H., and S. H. Kim. 2007. “Realistic models for local bond stress-slip of reinforced concrete under repeated loading.” J. Struct. Eng. 133 (2): 216–224. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:2(216).
Perdikaris, P., and S. Beim. 1988. “RC bridge decks under pulsating and moving load.” J. Struct. Eng. 114 (3): 591–607. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:3(591).
Perdikaris, P., S. Beim, and S. Bousias. 1989. “Slab continuity effect on ultimate and fatigue strength of reinforced concrete bridge deck models.” ACI Struct. J. 86 (4): 483–491.
Plizzari, G., S. Cangiano, and S. Alleruzzo. 1997. “The fatigue behavior of cracked concrete.” Fatigue Fract. Eng. Mater. Struct. 20 (8): 1195–1206. https://doi.org/10.1111/j.1460-2695.1997.tb00323.x.
Rehm, G., and R. Eligehausen. 1979. “Bond of ribbed bars under high cycle repeated loads.” J. Am. Concr. Inst. https://doi.org/10.18419/opus-376.
Salem, H. M., and K. Maekawa. 2004. “Pre-and postyield finite element method simulation of the bond of ribbed reinforcing bars.” J. Struct. Eng. 130 (4): 671–680. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:4(671).
Schläfli, M., and E. Brühwiler. 1998. “Fatigue of existing reinforced concrete bridge deck slabs.” Eng. Struct. 20 (11): 991–998. https://doi.org/10.1016/S0141-0296(97)00194-6.
Stang, H., and T. Aarre. 1992. “Evaluation of crack width in FRC with conventional reinforcement.” Cem. Concr. Compos. 14 (2): 143. https://doi.org/10.1016/0958-9465(92)90007-I.
Stang, H., V. C. Li, and H. Krenchel. 1995. “Design and structural applications of stress-crack width relations in fiber reinforced concrete.” Mater. Struct. 28 (4): 210–219. https://doi.org/10.1007/BF02473251.
Vintzēleou, E., and T. Tassios. 1986. “Mathematical models for dowel action under monotonic and cyclic conditions.” Mag. Concr. Res. 38 (134): 13–22. https://doi.org/10.1680/macr.1986.38.134.13.
Zararis, P. D., and G. C. Papadakis. 2001. “Diagonal shear failure and size effect in RC beams without web reinforcement.” J. Struct. Eng. 127 (7): 733–742. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:7(733).
Zhang, J., H. Stang, and V. C. Li. 1999. “Fatigue life prediction of fiber reinforced concrete under flexural load.” Int. J. Fatigue. 21 (10): 1033–1049. https://doi.org/10.1016/S0142-1123(99)00093-6.
Zhang, J., H. Stang, and V. C. Li. 2001. “Crack bridging model for fiber reinforced concrete under fatigue tension.” Int. J. Fatigue 23 (8): 655–670. https://doi.org/10.1016/S0142-1123(01)00041-X.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 146Issue 1January 2020

History

Received: Aug 7, 2018
Accepted: Jun 10, 2019
Published online: Nov 15, 2019
Published in print: Jan 1, 2020
Discussion open until: Apr 15, 2020

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Authors

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Assistant Professor, Faculty of Engineering, Hokkaido Univ., Hokkaido 060-8628, Japan (corresponding author). ORCID: https://orcid.org/0000-0003-2679-899X. Email: [email protected]
Takashi Matsumoto [email protected]
Professor, Faculty of Engineering, Hokkaido Univ., Hokkaido 060-8628, Japan. Email: [email protected]

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