Finite-Element Method to Predict Reinforcing Bar Buckling in RC Structures
Publication: Journal of Structural Engineering
Volume 141, Issue 5
Abstract
Buckling of longitudinal bars is a common form of damage in reinforced concrete (RC) structures subjected to earthquakes. Previous research has illustrated the impact of cyclic loading on bar buckling which often occurs upon the reversal from a tensile loading cycle. This paper presents a finite-element method to predict reinforcement buckling under seismic loading that also captures the details of the buckling mechanism. This method combines a fiber-based model to simulate the reinforced concrete member itself and an independent finite-element model of the local plastic hinge region. The strain demands in the plastic hinge region are determined from the fiber-based model of the overall structure subjected to the ground motion. The strain history is then imposed on the finite element bar buckling model to predict the localized behavior. Comparisons between the model performance and experimental observations are shown to assess the accuracy of the proposed method.
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References
Abaqus [Computer software]. Abaqus Analysis User’s Manual 6.11, Dassault Systèmes Simulia Corp.
Alejano, L., and Alonso, E. (2005). “Considerations of the dilatancy angle in rocks and rock masses.” Int. J. Rock Mech. Min. Sci., 42(4), 481–507.
Bae, S., Mieses, A. M., and Bayrak, O. (2005). “Inelastic buckling of reinforcing bars.” J. Struct. Eng., 314–321.
Berry, M. P., and Eberhard, M. O. (2005). “Practical performance model for bar buckling.” J. Struct. Eng., 1060–1070.
Calladine, C. R. (1973). “Inelastic buckling of columns: The effect of imperfections.” Int. J. Mech. Sci., 15(7), 593–604.
Dhakal, R., and Maekawa, K. (2002a). “Reinforcement stability and fracture of cover concrete in reinforced concrete members.” J. Struct. Eng., 1253–1262.
Dhakal, R. P., and Maekawa, K. (2002b). “Modeling of post-yield buckling of reinforcement.” J. Struct. Eng., 1139–1147.
Dodd, L., and Restrepo-Posada, J. (1995). “Model for predicting cyclic behavior of reinforcing steel.” J. Struct. Eng., 433–445.
El-Bahy, A., Kunnath, S. K., Stone, W. C., and Taylor, A. W. (1999a). “Cumulative seismic damage of circular bridge columns: Benchmark and low-cycle fatigue tests.” ACI Struct. J., 96(4), 633–641.
El-Bahy, A., Kunnath, S. K., Stone, W. C., and Taylor, A. W. (1999b). “Cumulative seismic damage of circular bridge columns: Variable amplitude tests.” ACI Struct. J., 96(5), 71–719.
Engesser, F. (1889). “Ueber die knickfestigkeit gerader stabe.” Zeitschrift des Architekten-und Ingenieur—Vereins zu Hannover, 35, 445–462 (in German).
Engesser, F. (1891). “Die knickfestigkeit gerader stabe.” Zentralblatt der Bauverwaltung, Berlin, Germany, 483 (in German).
Erasmus, L. A. (1981). “Cold straightening of partially embedded reinforcing bars—A different view.” Concr. Int., 3(6), 47–52.
Euler, L. (1759). “Sur le forces des colonnes.” Memoires de l’Academie Royale des Sciences et Belles Lettres, 13, Berlin, Germany, (in French).
Feng, Y., Kowalsky, M. J., and Nau, J. M. (2012). “Fiber-based modeling for investigating the effect of load history on the behavior of RC bridge columns.” 15th World Conf. on Earthquake Engineering, International Association for Earthquake Engineering, Tokyo, Japan.
Feng, Y., Kowalsky, M. J., and Nau, J. M. (2013). “Fiber-based modeling of circular reinforced concrete bridge columns.” J. Earthquake Eng.
Goodnight, J. C., Kowalsky, M. J., and Nau, J. M. (2012). “Experimental observations on the effect of load history on performance limit states of circular bridge columns.” 15th World Conf. on Earthquake Engineering, Lisbon, Portugal.
Goodnight, J. C., Kowalsky, M. J., and Nau, J. M. (2013). “The effect of load history on performance limit states of circular bridge columns.” J. Bridge Eng., 1383–1396.
Jasinski, F. (1895). “Noch ein Wort zu den Knickfragen.” Schweizerische Bauzeitung, XXV(25), 172–175.
Lee, J., and Fenves, G. L. (1998). “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech., 892–900.
Lemaitre, J., and Chaboche, J.-L. (1990). Mechanics of solid materials, Cambridge University Press, Cambridge, U.K.
Lubliner, J., Oliver, J., Oller, S., and Onate, E. (1989). “A plastic-damage model for concrete.” Int. J. Solids Struct., 25(3), 229–326.
Malm, R. (2006). “Shear cracks in concrete structures subjected to in-plain stresses.”, The Royal Institute of Technology, Stockholm, Sweden.
Masukawa, J., Kumiko, S., and Maekawa, K. (1999). “Three-dimensional nonlinear FEM analysis of hollow bridge piers considering spalling of concrete cover and buckling of reinforcing bars.” Trans. Jpn. Concr. Inst., 21, 255–262.
Mau, S. T., and El-Mabsout, M. (1989). “Inelastic buckling of reinforcing bars.” J. Eng. Mech., 1–17.
Moyer, M. J., and Kowalsky, M. J. (2003). “Influence of tension strain on buckling of reinforcement in concrete columns.” ACI Struct. J., 3(2), 75–85.
Restrepo-Posada, J. I., Dodd, L. L., Park, R., and Cooke, N. (1994). “Variables affecting cyclic behavior of reinforcing steel.” J. Struct. Eng., 3178–3196.
Rodriguez, M., Botero, J., and Villa, J. (1999). “Cyclic stress-strain behavior of reinforcing steel including effect of buckling.” J. Struct. Eng., 605–612.
Shanley, F. R. (1947). “Inelastic column theory.” J. Aeronaut. Sci., 14(5), 261–264.
Tanaka, H., and Park, R. (1987). “Prediction of the ultimate longitudinal compressive concrete strain at hoop fracture using energy considerations.” Bull. New Zealand Nat. Soc. Earthquake Eng., 20(4), 290–305.
von Karman, T. (1910). Untersuchungen uber Knickfestigkeit, Forschungsarbeiten, No. 81, Berlin, Germany.
Wang, Y. C., and Restrepo, J. I. (1996). “Strength enhancement of concentrically loaded reinforced concrete columns using TYFO S fibrwrap jackets.”, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Zong, Z., Kunnath, S., and Monti, G. (2013). “Simulation of reinforcing bar buckling in circular reinforced concrete columns.” ACI Struct. J., 110, 607–616.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 141 • Issue 5 • May 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jun 18, 2013
Accepted: Feb 6, 2014
Published online: Jul 23, 2014
Discussion open until: Dec 23, 2014
Published in print: May 1, 2015
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