Analytical Model for Circular Normal- and High-Strength Concrete Columns Confined with FRP
This article is a reply.
VIEW THE ORIGINAL ARTICLEThis article has a reply.
VIEW THE REPLYPublication: Journal of Composites for Construction
Volume 14, Issue 5
Abstract
This paper presents a new incremental stress-strain model for fiber-reinforced polymer (FRP)-confined concrete. The model, able to accommodate concrete with a wide range of strength (25–110 MPa), is based on material properties, force equilibrium, and strain compatibility, and uses newly developed models for constantly confined concrete. An expression is proposed to calculate a FRP jacket rupture strain in columns. Beyond the initiation of rupture, gradual failure of a FRP jacket is modeled to account for the size effect on the FRP-confined concrete columns. This proposed constitutive model is unique in that it accommodates a wide range of concrete strength and uses an analytical rupture strain of a FRP jacket to predict the complete stress-strain curve. Small and large specimens tested by the authors and other researchers are used to validate the proposed model. Very good to excellent agreements have been achieved between the analytical and experimental responses.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers would like to express their gratitude to the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Network of Centers of Excellence on Intelligent Sensing for Innovative Structures (ISIS) Canada for financing this research.NSERC
References
Ahmad, S. H., and Shah, S. P. (1982). “Stress-strain curves of concrete confined by spiral reinforcement.” ACI Struct. J., 79(6), 484–490.
Ansari, F., and Li, Q. (1998). “High-strength concrete subjected to triaxial compression.” ACI Mater. J., 95(6), 747–755.
Arιoglu, N., Girgin, Z. C., and Arιoglu, E. (2006). “Evaluation of ratio between splitting tensile strength and compressive strength for concretes up to 120 MPa and its application in strength criterion.” ACI Mater. J., 103(1), 18–24.
Attard, M. M., and Setunge, S. (1996). “Stress-strain relationship of confined and unconfined concrete.” ACI Mater. J., 93(5), 432–442.
Cairns, S. W., and Sheikh, S. A. (2001). “Circular concrete columns externally reinforced with pre-fabricated carbon polymer shells.” Research Rep. No. CS-01-01, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Campione, G., and Miraglia, N. (2003). “Strength and strain capacities of concrete compression members reinforced with FRP.” Cem. Concr. Compos., 25(1), 31–41.
Candappa, D. P., Sanjayan, J. G., and Setunge, S. (2001). “Complete triaxial stress-strain curves of high-strength concrete.” J. Mater. Civ. Eng., 13(3), 209–215.
Carey, S. A., and Harries, K. A. (2005). “Axial behavior and modeling of confined small-, medium- and large- scale circular sections with carbon fiber-reinforced polymer jackets.” ACI Struct. J., 102(4), 596–604.
Chen, W. F. (1988). “Evaluation of plasticity-based constitutive models for concrete material.” Solid Mech. Arch., 13(1), 1–63.
Cui, C., and Sheikh, S. A. (2009). “Behavior of normal- and high- strength concrete confined with fiber-reinforced polymers (FRP).” Research Rep. No. CS-01-09, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Cui, C., and Sheikh, S. A. (2010). “Experimental study of normal- and high- strength concrete confined with fiber-reinforced polymers.” J. Compos. Constr. 14(5) (in press).
Demers, M., and Neale, K. W. (1994). “Strengthening of concrete columns with unidirectional composite sheets.” Development in Short and Medium Span Bridge Engineering, Proc., 4th Int. Conf. on Short and Medium Bridges, Canadian Society for Civil Engineering, Montréal, 895–905.
Elwi, A. A., and Murray, D. W. (1979). “A 3D hypoelastic concrete constitutive relationship.” J. Eng. Mech., 105(4), 623–641.
Fam, A. Z., and Rizkalla, S. H. (2001). “Confinement model for axially loaded concrete confined by circular fibre-reinforced polymer tubes.” ACI Struct. J., 98(4), 451–461.
Fardis, M. N., and Khalili, H. H. (1981). “Concrete encased in fiberglass-reinforced plastic.” ACI Struct. J., 78(6), 440–446.
Harajli, M. H. (2006). “Axial stress-strain relationship for FRP confined circular and rectangular concrete columns.” Cem. Concr. Compos., 28(10), 938–948.
Harries, K. A., and Kharel, G. (2002). “Behaviour and modelling of concrete subject to variable confining pressure.” ACI Mater. J., 99(2), 180–189.
Imran, I., and Pantazopoulou, S. J. (1996). “Experimental study of plain concrete under triaxial stress.” ACI Mater. J., 93(6), 589–601.
Jaffry, S. A. D., and Sheikh, S. A. (2001). “Concrete-filled glass fiber-reinforced polymer (GFRP) shells under concentric compression.” Research Rep. No. SJ-01-01, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Lahlou, K., Aïtcin, P. C., and Chaallal, O. (1992). “Behavior of high-strength concrete under confined stresses.” Cem. Concr. Compos., 14, 185–193.
Laine, D. P. (2004). “Effect of axial preloads on confined concrete.” MS thesis, Univ. of Toronto, Toronto.
Lam, L., and Teng, J. G. (2003). “Design-oriented stress-strain model for FRP-confined concrete.” Constr. Build. Mater., 17, 471–489.
Lam, L., and Teng, J. G. (2004). “Ultimate condition of fiber-reinforced polymer-confined concrete.” J. Compos. Constr., 8(6), 539–548.
Lam, L., Teng, J. G., Cheung, C. H., and Xiao, Y. (2006). “FRP-confined concrete under cyclic axial compression.” Cem. Concr. Compos., 28(10), 949–958.
Li, Q., and Ansari, F. (2000). “High-strength concrete in triaxial compression by different sizes of specimens.” ACI Mater. J., 97(6), 684–689.
Lu, X. (2005). “Uniaxial and triaxial behaviour of high strength concrete with and without steel fibers.” Ph.D. thesis, New Jersey Institute of Technology, Newark, N.J.
Mander, J. B., Priestley, M. J. N., and Park, R. (1987). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 114(8), 1804–1826.
Marques, S. P. C., Marques, D. C. S. C., Silva, J. L., and Cavalcante, M. A. A. (2004). “Model for analysis of short columns of concrete confined by fibre-reinforced polymer.” J. Compos. Constr., 8(4), 332–340.
Miyauchi, K., Inoue, S., Kuroda, T., and Kobayashi, A. (1999). “Strengthening effects of concrete columns with carbon fiber sheet.” Trans. Jpn. Concr. Inst., 21, 143–150.
Montoya, E. (2003). “Behavior and analysis of confined concrete.” Ph.D. thesis, Univ. of Toronto, Toronto.
Nanni, A., and Bradford, N. M. (1995). “FRP jacketed concrete under uniaxial compression.” Constr. Build. Mater., 9(2), 115–124.
Pantazopoulou, S. J., and Mills, R. H. (1995). “Microstructural aspects of the mechanical response of plain concrete.” ACI Mater. J., 92(6), 605–616.
Pessiki, S., Harries, K. A., Kestner, J. T., Sausem, R., and Ricles, J. M. (2001). “Axial behavior of reinforced concrete columns confined with FRP jackets.” J. Compos. Constr., 5(4), 237–245.
Punshi, V., and Sheikh, S. A. (2003). “Non-linear analysis of circular FRP-confined concrete columns using finite-element methods.” Research Rep. No. PS-01-03, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Saadatmanesh, H., and Ehsani, M. R. (1994). “Strength and ductility of concrete columns externally reinforced with fiber composite straps.” ACI Struct. J., 91(4), 434–447.
Saafi, M., Toutanji, H. A., and Li, Z. (1999). “Behaviour of concrete columns confined with fibre reinforced polymer tubes.” ACI Mater. J., 96(4), 500–509.
Saenz, N., and Pantelides, C. P. (2007). “Strain-based confinement model for FRP-confined concrete.” J. Struct. Eng., 133(6), 825–833.
Samaan, M., Mirmiran, A., and Shahawy, M. (1998). “Model of concrete confined by fiber composites.” J. Struct. Eng., 124(9), 1025–1031.
Samdani, S., and Sheikh, S. A. (2004). “Analytical study of FRP-confined concrete columns.” Proc., 4th Int. Conf. on Concrete under Severe Conditions, Korea Concrete Institute, Seoul, South Korea, 27–30.
Sargin, M. (1971). “Stress-strain relationship for concrete and the analysis of structural concrete sections.” Study No. 4, Solid Mechanics Div., Univ. of Waterloo, Waterloo, ON, Canada.
Sfer, D., Carol, I., Gettu, R., and Etse, G. (2002). “Study of the behavior of concrete under triaxial compression.” J. Eng. Mech., 128(2), 156–163.
Sheikh, S. A., Jaffry, S. A. D., and Cui, C. (2007). “Investigation of glass-fiber-reinforced polymer shells as formwork and reinforcement for concrete columns.” Can. J. Civ. Eng., 34(3), 389–402.
Sheikh, S. A., and Uzumeri, S. M. (1982). “Analytical model for concrete confinement in tied columns.” J. Struct. Div., 108(12), 2703–2722.
Spoelstra, M. R., and Monti, G. (1999). “FRP-confined concrete model.” J. Compos. Constr., 3(3), 143–150.
Teng, J. G., Huang, Y. L., Lam, L., and Ye, L. P. (2007). “Theoretical model for fiber-reinforced polymer-confined concrete.” J. Compos. Constr., 11(2), 201–210.
Toutanji, H. A. (1999). “Stress-strain characteristics of concrete columns externally confined with advanced fibre composite sheets.” ACI Mater. J., 96(3), 397–404.
Vecchio, F. J. (1992). “Finite-element modeling of concrete expansion and confinement.” J. Struct. Eng., 118(9), 2390–2406.
Xiao, Y., and Wu, H. (2000). “Compressive behavior of concrete confined by carbon fiber composite jackets.” J. Mater. Civ. Eng., 12(2), 139–145.
Xiao, Y., and Wu, H. (2003). “Compressive behaviour of concrete confined by various types of FRP composite jackets.” J. Reinf. Plast. Compos., 22(13), 1187–1201.
Xie, J., Elwi, A. E., and MacGregor, J. G. (1995). “Mechanical properties of three high-strength concretes containing silica fume.” ACI Mater. J., 92(2), 135–145.
Yong, Y. K., Nour, M. G., and Nawy, E. (1988). “Behavior of laterally confined high-strength concrete under axial loads.” J. Struct. Div., 114(2), 332–351.
Yu, Q. (2001). “A study on the stress-strain relationship of FRP-confined concrete in axial compression.” Ind. Constr., 31(4), 5–8 (in Chinese).
Information & Authors
Information
Published In
Copyright
© 2010 ASCE.
History
Received: Jun 29, 2009
Accepted: Feb 4, 2010
Published online: Feb 22, 2010
Published in print: Oct 2010
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.