Novel Composite Beam Element with Bond-Slip for Nonlinear Finite-Element Analyses of Steel/FRP-Reinforced Concrete Beams
Publication: Journal of Structural Engineering
Volume 139, Issue 12
Abstract
A new one-dimensional two-node layered composite beam element that accounts for the bond-slip between reinforcing bars and surrounding concrete is presented for nonlinear analysis of steel/fiber-reinforced polymer (FRP) concrete beams. A layered approach is used not only to represent the nonlinear material property accurately but also to model the bond-slip effect between the reinforcing bars and the concrete. In addition to the typical transverse displacement and rotation at the two nodes of the beam element, additional nodal degrees of freedom are introduced to represent the axial displacements of the reinforcements to account for bond-slip effect. Timoshenko’s beam functions are employed for the displacement shape functions, and shear locking is avoided naturally. The element is validated against numerical examples and demonstrated to be accurate and computationally efficient for the analysis of steel/FRP-reinforced concrete beams with bond-slip.
Get full access to this article
View all available purchase options and get full access to this article.
References
Achillides, Z., and Pilakoutas, K. (2006). “FE modelling of bond interaction of FRP bars to concrete.” Struct. Concrete, 7(1), 7–16.
Aiello, M. A., Leone, M., and Pecce, M. (2007). “Bond performances of FRP rebars-reinforced concrete.” J. Mater. Civ. Eng., 205–213.
Benmokrane, B., Chaallal, O., and Masmoudi, R. (1996). “Flexural response of concrete beams reinforced with FRP reinforcing bars.” ACI Struct. J., 93(1), 46–55.
Comite Euro-International du Beton. (1993). CEB-FIP model code 1990, Thomas Telford Services Ltd, Lausanne, Switzerland.
Cosenza, E., Manfredi, G., and Realfonzo, R. (1997). “Behavior and modelling of bond of FRP rebars to concrete.” J. Compos. Constr., 40–51.
Ferreira, A. J. M., Camanho, P. P., Marques, A. T., and Fernandes, A. A. (2001). “Modelling of concrete beams reinforced with FRP re-bars.” Compos. Struct., 53(1), 107–116.
Ferreira, A. J. M., Ribeiro, M. C. S., and Marques, A. T. (2004). “Analysis of hybrid beams composed of GFRP profiles and polymer concrete.” Int. J. Mech. Mater. Des., 1(2), 143–155.
Gomes, H. M., and Awruch, A. M. (2001). “Some aspects on three-dimensional numerical modelling of reinforced concrete structures using the finite element method.” Adv. Eng. Softw., 32(4), 257–277.
Jendele, L., and Cervenka, J. (2006). “Finite element modeling of reinforcement with bond.” Comput. Struct., 84(28), 1780–1791.
Khalfallah, S. (2008). “Tension stiffening bond modelling of cracked flexural reinforced concrete beams.” J. Civ. Eng. Manag., 14(2), 131–137.
Kullaa, J. (1996). “Dimensional analysis of bond modulus in fiber pullout.” J. Struct. Eng., 783–787.
Kwak, H. G., and Filippou, F. C. (1997). “Nonlinear FE analysis of R/C structures under monotonic loads.” Comput. Struct., 65(1), 1–16.
Malvar, L. J., Cox, J. V., and Cochran, K. B. (2003). “Bond between carbon fiber reinforced polymer bars and concrete. I: experimental study.” J. Compos. Constr., 154–163.
Manfredi, G., and Pecce, M. (1998). “A refined R.C. beam element including bond–slip relationship for the analysis of continuous beams.” Comput. Struct., 69(1), 53–62.
Monti, G., and Spacone, E. (2000). “Reinforced concrete fiber beam element with bond-slip.” J. Struct. Eng., 654–661.
Naaman, A. E., Namur, G. G., Alwan, J. M., and Najm, H. S. (1991). “Fiber pullout and bond slip. I: Analytical study.” J. Struct. Eng., 2769–2790.
Nitereka, C., and Neale, K. W. (1999). “Analysis of reinforced concrete beams strengthened in flexure with composite laminates.” Can. J. Civ. Eng., 26(5), 646–654.
Nour, A., Massicotte, B., Yildiz, E., and Koval, V. (2007). “Finite element modeling of concrete structures reinforced with internal and external fibre-reinforced polymers.” Can. J. Civ. Eng., 34(3), 340–354.
Okelo, R., and Yuan, R. L. (2005). “Bond strength of fiber reinforced polymer rebars in normal strength concrete.” J. Compos. Constr., 203–213.
Oliveira, R. S., Ramalho, M. A., and Corrêa, M. R. S. (2008). “A layered finite element for reinforced concrete beams with bond–slip effects.” Cem. Concr. Compos., 30(3), 245–252.
Owen, D. R. J., and Figueiras, J. A. (1984). “Ultimate load analysis of reinforced concrete plates and shells including geometric nonlinear effects.” Finite element software for plates and shells, E. Hinton and D. R. J. Owen, eds., Pineridge Press, Swansea, UK.
Rabczuk, T., Akkermann, J., and Eibl, J. (2005). “A numerical model for reinforced concrete structures.” Int. J. Solid Struct., 42(5–6), 1327–1354.
Rafi, M. M., Nadjai, A., and Ali, F. (2007a). “Analytical modeling of concrete beams reinforced with carbon FRP bars.” J. Compos. Mater., 41(22), 2675–2690.
Rafi, M. M., Nadjai, A., and Ali, F. (2007b). “Experimental testing of concrete beams reinforced with carbon FRP bars.” J. Compos. Mater., 41(22), 2657–2673.
Rafi, M. M., Nadjai, A., and Ali, F. (2008a). “Finite element modeling of carbon fiber-reinforced polymer reinforced concrete beams under elevated temperatures.” ACI Struct. J., 105(6), 701–710.
Rafi, M. M., Nadjai, A., Ali, F., and Talamona, D. (2008b). “Aspects of behaviour of CFRP reinforced concrete beams in bending.” Constr. Build. Mater., 22(3), 277–285.
Spacone, E., and Limkatanyu, S. (2000). “Responses of reinforced concrete members including bond-slip effects.” ACI Struct. J., 97(6), 831–839.
Zhang, Y. X., Bradford, M. A., and Gilbert, R. I. (2007). “A layered shear-flexural plate/shell element using Timoshenko beam functions for nonlinear analysis of reinforced concrete plates.” Finite Elem. Anal. Des., 43(11–12), 888–900.
Zhang, Y. X., and Lin, X. (2013). “Nonlinear finite element analyses of steel/FRP-reinforced concrete beams by using a novel composite beam element.” Adv. Struct. Eng., 16(2), 339–352.
Information & Authors
Information
Published In
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 22, 2012
Accepted: Feb 21, 2013
Published online: Feb 23, 2013
Published in print: Dec 1, 2013
Discussion open until: Feb 13, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.