Unified Bond Stress–Slip Model for Reinforced Concrete
Publication: Journal of Structural Engineering
Volume 139, Issue 11
Abstract
Despite extensive investigations of bond stress versus slip modeling for RC structures, most existing bond stress–slip models are incomplete, discontinuous, and insufficiently accurate. These problems can cause nonconvergence and other difficulties in computational simulations of concrete structures that use bond-slip models. Through systematical analyses of an existing database of bond-slip behavior and data regressions, this work develops a unified bond stress–slip model that overcomes these difficulties and is suitable for numerical simulations. The model is given by a single and mathematically continuous equation that does not distinguish between plain and confined concrete or splitting and pullout failure because such judgments are arrived at automatically by evaluating the model parameters. Furthermore, the model outperforms the existing models in the precision of its predictions.
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Acknowledgments
The work described in this paper was fully supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CityU 123711).
References
American Concrete Institute (ACI). (1995). Building code requirements for reinforced concrete, ACI Committee 318, Detroit.
Azizinamini, A., Stark, M., Roller, J. J., and Ghosh, S. K. (1993). “Bond performance of reinforcing bars embedded in high-strength concrete.” ACI Struct. J., 90(5), 554–561.
Bamonte, P. F., and Gambarova, P. G. (2007). “High-bond bars in NSC and HPC: Study on size effect and on the local bond stress-slip law.” J. Struct. Eng., 133(2), 225–234.
Choi, O. C., and Lee, W. S. (2002). “Interfacial bond analysis of deformed bars to concrete.” ACI Struct. J., 99(6), 750–756.
Comité Euro-International du Béton and Fédération Internationale de la Précontrainte (CEB-FIP). (1993). CEB-FIP model code 1990, Lausanne, Switzerland.
Darwin, D., Tholen, M. L., Idun, E. K., and Zuo, J. (1996). “Splice strength of high relative rib area reinforcing bars.” ACI Struct. J., 93(1), 95–107.
Den Uijl, J. A., and Bigaj, A. J. (1996). “A bond model for ribbed bars based on concrete confinement.” HERON, 41(3), 201–226.
Eligehausen, R., Popov, E. P., and Bertero, V. V. (1983). “Local bond stress-slip relationships of deformed bars under generalized excitations.” Rep. UCB/EERC-83/23, Earthquake Engineering Research Center, Univ., of California, Berkeley, CA.
Esfahani, M. R., and Kianoush, M. R. (2005). “Development/splice length of reinforcing bars.” ACI Struct. J., 102(1), 22–30.
Esfahani, M. R., and Rangan, B. V. (1996). Studies on bond between concrete and reinforcing bars, School of Civil Engineering, Curtin Univ., of Technology, Perth, Australia.
Esfahani, M. R., and Rangan, B. V. (1998a). “Bond between normal strength and high-strength concrete (HSC) and reinforcing bars in splices in beams.” ACI Struct. J., 95(3), 272–280.
Esfahani, M. R., and Rangan, B. V. (1998b). “Local bond strength of reinforcing bars in normal strength and high-strength concrete (HSC).” ACI Struct. J., 95(2), 96–106.
Esfahani, M. R., and Rangan, B. V. (2000). “Influence of transverse reinforcement on bond strength of tensile splices.” Cement Concr. Compos., 22(3), 159–163.
Girgin, Z. C., Arioglu, N., and Arioglu, E. (2007). “Evaluation of strength criteria for very-high-strength concretes under triaxial compression.” ACI Struct. J., 104(3), 278–284.
Giuriani, E., and Plizzari, G. A. (1985). Local bond-slip law after splitting of concrete, Milan Univ. of Technology, Milan, Italy.
Giuriani, E., Plizzari, G., and Schumm, C. (1991). “Role of stirrups and residual tensile strength of cracked concrete on bond.” J. Struct. Eng., 117(1), 1–18.
Harajli, M. H. (2006). “Effect of confinement using steel, FRC, or FRP on the bond stress-slip response of steel bars under cyclic loading.” Mater. Struct., 39(6), 621–634.
Harajli, M. H. (2009). “Bond stress-slip model for steel bars in unconfined or steel, FRC, or FRP confined concrete under cyclic loading.” J. Struct. Eng., 135(5), 509–518.
Harajli, M. H., and Al-Hajj, J. (2002). “Bond stress-slip response of reinforcing bars in high-strength concrete.” Proc., 3rd Int. Symp. on Bond in Concrete: From Research to Standards, Budapest Univ. of Technology and Economics, Budapest, Hungary, 570–577.
Harajli, M. H., Hamad, B. S., and Rteil, A. A. (2004). “Effect of confinement of bond strength between steel bars and concrete.” ACI Struct. J., 101(5), 595–603.
Harajli, M. H., Hout, M., and Jalkh, W. (1995). “Local bond stress-slip behavior of reinforcing bars embedded in plain and fiber concrete.” ACI Mater. J., 92(4), 343–354.
He, W., Wu, Y. F., and Liew, K. M. (2008). “A fracture energy based constitutive model for the analysis of reinforced concrete structures under cyclic loading.” Comput. Methods Appl. Mech. Eng., 197(51–52), 4745–4762.
Huang, Z., Engstrom, B., and Magnusson, J. (1996). “Experimental and analytical studies of the bond behaviour of deformed bars in high strength concrete.” 4th Int. Symp. on Utilization of High-Strength/High-Performance Concrete, Vol. 3, Laboratories des Ponts et Chaussées Paris, 1115–1124.
Ichinose, T., Kanayama, Y., Inoue, Y., and Bolander, J. E. (2004). “Size effect on bond strength of deformed bars.” Construct. Build. Mater., 18(7), 549–558.
Martin, H. (1973). “On the interrelation among surface roughness, bond and bar stiffness in the reinforcement subject to short-term loading.” Deutscher Ausschuss Stahlbeton, (228), 1–50 (in German).
MATLAB 7.6 [Computer Software]. Natick, MA, Mathworks.
Mendis, P., and French, C. (2000). “Bond strength of reinforcement in high-strength concrete.” Adv. Struct. Eng., 3(3), 245–253.
Menzel, C. A. (1939). “Some factors influencing results of pull-out bond tests.” ACI J. Proc., 35(6), 517–542.
Mirza, S. M., and Houde, J. (1979). “Study of bond stress-slip relationships in reinforced concrete.” ACI J. Proc., 76(1), 19–46.
Morita, S., and Fujii, S. (1982). “Bond capacity of deformed bars due to splitting of surrounding concrete.” Proc., Int. Conf. on Bond in Concrete, P. Bartos, ed., Applied Science Publishers, London, 331–341.
Nilson, A. H. (1968). “Nonlinear analysis of reinforced concrete by the finite element method.” ACI J. Proc., 65(9), 757–766.
Orangun, C. O., Jirsa, J. O., and Breen, J. E. (1977). “A reevaluation of test data on development length and splices.” ACI J., 74(3), 114–122.
Rehm, G. (1961). “On the fundamentals of steel-concrete bond.” Deutscher Ausschuss für Stahlbeton, (138), 1–59 (in German).
Reynolds, G. C., and Beeby, A. W. (1982). “Bond strength of deformed bars.” Proc., Int. Conf. on Bond in Concrete, P. Bartos, ed., Applied Science Publishers, London, 434–445.
Soroushian, P., and Choi, K. B. (1989). “Local bond of deformed bars with different diameters in confined concrete.” ACI Struct. J., 86(2), 217–222.
Turk, K., Caliskan, S., and Yildirim, M. S. (2005). “Influence of loading condition and reinforcement size on the concrete/reinforcement bond strength.” Struct. Eng. Mech., 19(3), 337–346.
Walker, P. R., Batayneh, M. K., and Regan, P. E. (1997). “Bond strength tests on deformed reinforcement in normal weight concrete.” Mater. Struct., 30(7), 424–429.
Weathersby, J. H. (2003). “Investigation of bond slip between concrete and steel reinforcement under dynamic loading conditions.” Ph.D. thesis, Louisiana State Univ., Baton Rouge, LA.
Wu, Y. F., and Zhou, Y. W. (2010). “Unified strength model based on Hoek-Brown failure criterion for circular and square concrete columns confined by FRP.” J. Compos. Constr., 14(2), 175–184.
Xu, Y. L. (1990). “Experimental study of anchorage properties for deformed bars in concrete.” Ph.D. thesis, Tsinghua Univ., Beijing.
Zhao, X. M., Wu, Y. F., and Leung, A. Y. T. (2012). “Analyses of plastic hinge regions in reinforced concrete beams under monotonic loading.” Eng. Struct., 34, 466–482.
Zhao, Y. (2001). “Studies on the bond behavior and durability of reinforced concrete structures.” Ph.D. thesis, Zhejiang Univ., Hangzhou, China
Zuo, J., and Darwin, D. (2000). “Splice strength of conventional and high relative rib area bars in normal and high-strength concrete.” ACI Struct. J., 97(4), 630–641.
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Published In
Journal of Structural Engineering
Volume 139 • Issue 11 • November 2013
Pages: 1951 - 1962
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Apr 27, 2012
Accepted: Sep 25, 2012
Published online: Sep 28, 2012
Published in print: Nov 1, 2013
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