Three-Dimensional Nonlinear Finite-Element Analysis of Prestressed Concrete Beams Strengthened in Shear with FRP Composites
Publication: Journal of Composites for Construction
Volume 15, Issue 6
Abstract
Nonlinear finite-element (FE) analysis was carried out to investigate the structural response of prestressed concrete (PC) beams strengthened with fiber reinforced polymer (FRP) composites in shear. Development of the FE model for concrete structures dominated by shear, in particular for FRP-strengthened concrete structures, requires careful consideration in choosing the appropriate elements and constitutive laws to simulate the proper failure mode. The paper presents a new three-dimensional technique to model FRP-strengthened prestressed concrete beams. Most previous work has dealt with two-dimensional analysis of FRP-strengthened reinforced concrete beams. The novel attributes of the proposed model lie in the description of the three-dimensional constitutive material models for each component. The model accounts for the softening behavior of concrete under a triaxial state of stress. A new three-dimensional interface element necessary to capture the debonding failure was proposed. In particular, the effect of the out of plane stress behavior of the FRP-concrete interface, which is currently unavailable through experimental measurements, was carefully evaluated. The use of mechanical anchors to improve the bond behavior was properly simulated. In addition, the prestressing operation and precracking effects were also simulated in the model through a phased analysis technique, which makes it possible to predict the response with respect to the time-dependent behavior of elements and materials. The FE model developed in this study was calibrated through comparison with test results. This paper reports not only on the fundamental investigation of the strengthening effect of FRP composites for PC beams but also on the identification of the damage mechanisms and the progression of failure. The model was shown to provide a good level of correlation with experimental data, and could therefore be used to conduct extensive parameter studies.
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Acknowledgments
The authors wish to express their sincere gratitude and appreciation to the National Cooperative Highway Research Program (NCHRP), the Intelligent Systems Center (ISC) and the National University Transportation Center (UTC) at Missouri University of Science and Technology, for funding this research work.
References
Al-Mahaidi, R., Lee, K., and Taplin, G. (2001). “Behavior and analysis of RC T-beams partially damaged in shear and repaired with CFRP laminates.” Proc., 2001 Structural Congress and Exposition, ASCE, Washington, DC.
Arduini, M., Nanni, A., Di Tommaso, A., and Focacci, F. (1997). “Shear response of continuous RC beams strengthened with carbon FRP sheets.” Proc., 3rd Int. Symp. on Non-Metallic (FRP) Reinforcement for Concrete Structures, Vol. 1, Japan Concrete Institute, Tokyo, 459–466.
Baky, H. A., Ebead, U. A., and Neale, K. W. (2007). “Flexural and interfacial behavior of FRP strengthened reinforced concrete beams.” J. Compos. Constr., 11(6), 629–639.
Belarbi, A., Bae, S. W., Ayoub, A., Kuchma, D., Mirmiran, A., and Okeil, A. (2010). “Design of FRP systems for strengthening concrete girders in shear.” Technical Rep. of NCHRP Project 12-75, National Cooperative Highway Research Program, Transportation Research Board, Washington, DC.
Coronado, C. A., and Lopez, M. M. (2007). “Damage approach for the prediction of debonding failure on concrete elements strengthened with FRP.” J. Compos. Constr., 11(4), 391–400.
DIANA Version 9.3 [Computer software]. TNO DIANA BV. Delft, Netherlands.
Godat, A., Neale, K. W., and Labossiere, P. (2007). “Numerical modeling of FRP shear strengthened reinforced concrete beams.” J. Compos. Constr., 11(6), 640–649.
Kachlakev, D., and McCurry, D. (2000). “Behaviour of full-scale reinforced concrete beams retrofitted for shear and flexural with FRP laminates.” Composites, Part B, 31(6), 445–452.
Kim, S. W., and Vecchio, F. J. (2008). “Modeling of shear critical reinforced concrete structures repaired with fiber reinforced polymer composites.” J. Struct. Eng., 134(8), 1288–1299.
Kishi, N., Zhang, G., and Mikami, H. (2005). “Numerical cracking and debonding analysis of RC beams reinforced with FRP sheet.” J. Compos. Constr., 9(6), 507–514.
Lu, X. Z., Chen, J. F., Ye, L. P., Teng, J. G., and Rotter, J. M. (2005a). “Theoretical analysis of stress distributions in FRP side bonded to RC beams for shear strengthening.” Proc., Int. Symp. on Bond Behavior of FRP in Structures (BBFS2005), International Institute for FRP in Construction (IIFC), Manitoba, Canada, 363–370.
Lu, X. Z., Chen, J. F., Ye, L. P., Teng, J. G., and Rotter, J. M. (2009). “RC beams shear-strengthened with FRP: Stress distributions in the FRP reinforcement.” Constr. Build. Mater., 23(4), 1544–1554.
Lu, X. Z., Teng, J. G., Ye, L. P., and Jiang, J. J. (2005b). “Bond-slip models for FRP sheets/plates bonded to concrete.” Eng. Struct., 27(6), 920–937.
Lu, X. Z., Teng, J. G., Ye, L. P., and Jiang, J. J. (2005c). “Meso-scale finite element model for FRP sheets/plates bonded to concrete.” Eng. Struct., 27(4), 564–575.
Lu, X. Z., Teng, J. G., Ye, L. P., and Jiang, J. J. (2007). “Intermediate crack debonding in FRP strengthened RC beams: FE analysis and strength model.” J. Compos. Constr., 11(2), 161–174.
Malek, A., and Saadatmanesh, H. (1998a). “Ultimate shear capacity of reinforced concrete beams strengthened with web-bonded fiber reinforced plastic plates.” ACI Struct. J., 95(4), 391–399.
Malek, A., and Saadatmanesh, H. (1998b). “Analytical study of reinforced concrete beams strengthened with web-bonded fiber-reinforced plastic plates or fabrics.” ACI Struct. J., 95(3), 343–352.
Niu, H., and Wu, Z. (2005). “Numerical analysis of debonding mechanisms in FRP strengthened RC beams.” Comput. Aided Civ. Infrastruct. Eng., 20(5), 354–368.
Perez, J. J., Zhao, L., and O’Riordan-Adjah, C. A. (2005). “Finite element evaluation of the effects of lateral anchorage strips on the behavior of CFRP strengthened RC beams.” Proc., Int. Symp. Bond Behavior of FRP in Structures (BBFS2005), International Institute for FRP in Construction (IIFC), Manitoba, Canada, 303–308.
Pham, H. B., and Al-Mahaidi, R. (2005). “Finite element modeling of RC beams retrofitted with CFRP fabrics.” Proc., 7th Int. RILEM Symp. on Non-Metallic (FRP) Reinforcement for Concrete Structures (FRPRCS-7), American Concrete Institute (ACI), Detroit, MI, 499–514.
Pham, H. B., Al-Mahaidi, R., and Saouma, V. (2006). “Modeling of CFRP-concrete bond using smeared and discrete cracks.” Compos. Struct., 75(1-4), 145–150.
Qu, Z., Lu, X. Z., Ye, L. P., Chen, J. F., and Rotter, J. M. (2006). “Numerical modeling of FRP shear strengthened RC beams using compression field theory.” Proc., 3rd Int. Conf. on FRP Composites in Civil Engineering (CICE2006), International Institute for FRP in Construction (IIFC), Manitoba, Canada, 391–394.
Sato, Y., and Vecchio, F. J. (2003). “Tension stiffening and crack formation in reinforced concrete members with fiber-reinforced polymer sheets.” J. Struct. Eng., 129(6), 717–724.
Selby, R. G., and Vecchio, F. J. (1993). “Three-dimensional constitutive relations for reinforced concrete.” Tech. Rep. 93-02, Univ. of Toronto, Toronto.
Thorenfeldt, E., Tomaszewicz, A., and Jensen, J. J. (1987). “Mechanical properties of high strength concrete and application in design.” Proc., Symp. on Utilization of High Strength Concrete and Application in Design, American Concrete Institute (ACI), Detroit, MI, 149–159.
Vecchio, F. J. (2000). “Disturbed stress field model for reinforced concrete: Formulation.” J. Struct. Eng., 126(9), 1070–1077.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear.” J. Am. Concr. Inst., 83(2), 219–231.
Vecchio, F. J., and Collins, M. P. (1993). “Compression response of cracked reinforced concrete.” J. Struct. Eng., 119(12), 3590–3610.
Wong, R. (2001). “Towards modeling of reinforced concrete members with externally bonded fiber-reinforced polymer (FRP) composites.” MS thesis, Univ. of Toronto, Toronto.
Wong, R. S. Y., and Vecchio, F. J. (2003). “Towards modeling of reinforced concrete members with externally bonded fiber reinforced polymer composites.” ACI Struct. J., 100(1), 47–55.
Wu, Z., and Yin, J. (2003). “Fracturing behaviors of FRP strengthened concrete structure.” Eng. Fract. Mech., 70(10), 1339–1355.
Yang, Z. J., Chen, J. F., and Proverbs, D. (2003). “Finite element modelling of concrete cover separation failure in FRP plated RC beams.” Constr. Build. Mater., 17(1), 3–13.
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© 2011 American Society of Civil Engineers.
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Received: Aug 19, 2010
Accepted: May 19, 2011
Published online: May 21, 2011
Published in print: Dec 1, 2011
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