Technical Papers
Jul 21, 2014

Lateral Strain-to-Axial Strain Relationship of Confined Concrete

Publication: Journal of Structural Engineering
Volume 141, Issue 5

Abstract

The use of fiber-reinforced polymers (FRP) has become widely accepted engineering practice for strengthening reinforced concrete members. It is well established that lateral confinement of concrete with FRP composites can significantly enhance its strength and ductility. As the confinement pressure generated by FRP on the confined concrete depends on the lateral expansion of concrete, the mechanism of concrete expansion inside the FRP shell is of significant interest. A review of the existing stress-strain models of FRP-confined concrete revealed the need for a model that accurately predicts the dilation characteristic of confined concrete as it provides the essential link between the response of the concrete core and the passive confinement mechanism of the FRP shell. It is also understood that knowledge established from the research area of actively confined concrete can be employed in the development of a model applicable for both FRP-confined and actively confined concretes. Based on a large number of experimental test results of both FRP-confined and actively confined concretes, a generic model is proposed to describe the lateral strain-to-axial strain relationship of confined concrete. The instrumentation arrangements of the tested specimens have allowed for the lateral strain-axial strain relationships of confined concrete to be captured throughout the tests. The trend of the lateral strain-to-axial strain relationship of confined concrete is shown to be a function of the confining pressure, type of confining material and concrete strength. Assessment of models with the experimental databases showed that the predictions of the proposed model are well above existing models and in good agreement with the test results of both FRP-confined and actively confined concretes.

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References

Albanesi, T., Nuti, C., and Vanzi, I. (2007). “Closed form constitutive relationship for concrete filled FRP tubes under compression.” Constr. Build. Mater., 21(2), 409–427.
Ansari, F., and Li, Q. B. (1998). “High-strength concrete subjected to triaxial compression.” ACI Mater. J., 95(6), 747–755.
Attard, M. M., and Setunge, S. (1996). “Stress-strain relationship of confined and unconfined concrete.” ACI Mater. J., 93(5), 432–442.
Balmer, G. G. (1949). “Shearing strength of concrete under high triaxial stress-computation of Mohr’s envelope as a curve.”, Dept. of the Interior Bureau of Reclamation, Denver, CO.
Becque, J., Patnaik, A. K., and Rizkalla, S. H. (2003). “Analytical models for concrete confined with FRP tubes.” J. Compos. Constr., 31–38.
Bellotti, R., and Rossi, P. (1991). “Cylinder tests: Experimental technique and results.” Mater. Struct., 24(1), 45–51.
Binici, B. (2005). “An analytical model for stress-strain behavior of confined concrete.” Eng. Struct., 27(7), 1040–1051.
Candappa, D. C., Sanjayan, J. G., and Setunge, S. (2001). “Complete triaxial stress-strain curves of high-strength concrete.” J. Mater. Civ. Eng., 209–215.
Chun, S. S., and Park, H. C. (2002). “Load carrying capacity and ductility of RC columns confined by carbon fiber reinforced polymer.” Proc., 3rd Int. Conf. on Composites in Infrastructure, Univ. of Arizona, Tucson, AZ.
Elwi, A. A., and Murray, D. W. (1979). “A 3D hypoelastic concrete constitutive relationship.” J. Eng. Mech. Div., 623–641.
Fam, A. Z., and Rizkalla, S. H. (2001). “Confinement model for axially loaded concrete confined by circular fiber-reinforced polymer tubes.” ACI Struct. J., 98(4), 451–461.
Gabet, T., Malecot, Y., and Daudeville, L. (2008). “Triaxial behaviour of concrete under high stresses: Influence of the loading path on compaction and limit states.” Cem. Concr. Res., 38(3), 403–412.
Gardner, N. J. (1969). “Triaxial behavior of concrete.” J. Am. Concr. Inst., 66(2), 136–146.
Grassl, P. (2004). “Modelling of dilation of concrete and its effect in triaxial compression.” Finite Elem. Anal. Des., 40(9–10), 1021–1033.
Hammons, M. I., and Neeley, B. D. (1993). “Triaxial characterization of high-strength Portland cement concrete.”, Transportation Research Board, Washington, DC, 73–77.
Harmon, T. G., Gould, N. C., Ramakrishnan, S., and Wang, E. H. (2002). “Confined concrete columns subjected to axial load, cyclic shear, and cyclic flexure—Part I: Analytical models.” ACI Struct. J., 99(1), 32–41.
Harmon, T. G., Ramakrishnan, S., and Wang, E. H. (1998). “Confined concrete subjected to uniaxial monotonic loading.” J. Eng. Mech., 1303–1309.
Harries, K. A., and Kharel, G. (2002). “Behavior and modeling of concrete subject to variable confining pressure.” ACI Mater. J., 99(2), 180–189.
Hurlbut, B. (1985). “Experimental and computational investigation of strain-softening in concrete.” Ph.D. dissertation, Univ. of Colorado, Denver, CO.
Imran, I. (1994). “Applications of nonassociated plasticity in modeling the mechanical response of concrete.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Imran, I., and Pantazopoulou, S. J. (1996). “Experimental study of plain concrete under triaxial stress.” ACI Mater. J., 93(6), 589–601.
Imran, I., and Pantazopoulou, S. J. (2001). “Plasticity model for concrete under triaxial compression.” J. Eng. Mech., 281–290.
Jamet, P., Millard, A., and Nahas, G. (1984). “Triaxial behaviour of a micro-concrete complete stress-strain curves for confining pressures ranging from 0 to 100 MPa.” Int. Conf. on Concrete Under Multiaxial Conditions, Presses de l'Université Paul, Toulouse, France.
Jiang, T., and Teng, J. G. (2007). “Analysis-oriented stress-strain models for FRP-confined concrete.” Eng. Struct., 29(11), 2968–2986.
Karabinis, A. I., and Rousakis, T. C. (2002). “Concrete confined by FRP material: A plasticity approach.” Eng. Struct., 24(7), 923–932.
Kent, D. C., and Park, R. (1971). “Flexural members with confined concrete.” J. Struct. Div., 1969–1990.
Kotsovos, M. D., and Newman, J. B. (1979). “A mathematical description of the deformational behaviour of concrete under complex loading.” Mag. Concr. Res., 31(107), 77–90.
Kotsovos, M. D., and Newman, J. B. (1978). “Generalized stress-strain relations for concrete.” J. Eng. Mech., 845–856.
Lahlou, K., Aitcin, P. C., and Chaallal, O. (1992). “Behaviour of high-strength concrete under confined stresses.” Cem. Concr. Compos., 14(3), 185–193.
Lim, J. C., and Ozbakkaloglu, T. (2014). “Confinement model for FRP-confined high-strength concrete.” J. Compos. Constr., 04013058.
Lokuge, W. P., Sanjayan, J. G., and Setunge, S. (2005). “Stress-strain model for laterally confined concrete.” J. Mater. Civ. Eng., 607–616.
Lu, X. B., and Hsu, C. T. T. (2007). “Stress-strain relations of high-strength concrete under triaxial compression.” J. Mater. Civ. Eng., 261–268.
Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 1804–1826.
Marques, S. P. C., Marques, D., da Silva, J. L., and Cavalcante, M. A. A. (2004). “Model for analysis of short columns of concrete confined by fiber-reinforced polymer.” J. Compos. Constr., 332–340.
Mirmiran, A., and Shahawy, M. (1997). “Dilation characteristics of confined concrete.” Mech. Cohesive-Frictional Mater., 2(3), 237–249.
Montoya, E., Vecchio, F. J., and Sheikh, S. A. (2006). “Compression field modeling of confined concrete: Constitutive models.” J. Mater. Civ. Eng., 510–517.
Moran, D. A., and Pantelides, C. P. (2002). “Stress-strain model for fiber-reinforced polymer-confined concrete.” J. Compos. Constr., 233–240.
Newman, J. B. (1979). Concrete under complex stress, Dept. of Civil Engineering, Imperial College of Science and Technology, London, U.K.
Ozbakkaloglu, T., and Akin, E. (2012). “Behavior of FRP-confined normal- and high-strength concrete under cyclic axial compression.” J. Compos. Constr., 451–463.
Ozbakkaloglu, T., and Lim, J. C. (2013). “Axial compressive behavior of FRP-confined concrete: Experimental test database and a new design-oriented model.” Compos. Part B: Eng., 55, 607–634.
Ozbakkaloglu, T., Lim, J. C., and Vincent, T. (2013). “FRP-confined concrete in circular sections: Review and assessment of stress–strain models.” Eng. Struct., 49, 1068–1088.
Ozbakkaloglu, T., and Saatcioglu, M. (2006). “Seismic behavior of high-strength concrete columns confined by fiber-reinforced polymer tubes.” J. Compos. Constr., 538–549.
Ozbakkaloglu, T., and Vincent, T. (2013). “Axial compressive behavior of circular high-strength concrete-filled FRP tubes.” J. Compos. Constr., 04013037.
Park, H., and Kim, J. Y. (2005). “Plasticity model using multiple failure criteria for concrete in compression.” Int. J. Solids Struct., 42(8), 2303–2322.
Pessiki, S., Harries, K. A., Kestner, J. T., Sause, R., and Ricles, J. M. (2001). “Axial behavior of reinforced concrete columns confined with FRP jackets.” J. Compos. Constr., 237–245.
Richart, F. E., Brandtzaeg, A., and Brown, R. L. (1928). “A study of the failure of concrete under combined compressive stresses.”, Univ. of Illinois, Engineering Experimental Station, Champaign, IL.
Rutland, C. A., and Wang, M. L. (1997). “The effects of confinement on the failureorientation in cementitiousmaterialsexperimentalobservations.” Cem. Concr. Compos., 19(2), 149–160.
Saatcioglu, M., and Razvi, S. R. (1992). “Strength and ductility of confined concrete.” J. Struct. Eng., 1590–1607.
Setunge, S., Attard, M. M., and Darvall, P. L. (1993). “Ultimate strength of confined very high-strength concretes.” ACI Struct. J., 90(6), 632–641.
Sfer, D., Carol, I., Gettu, R., and Etse, G. (2002). “Study of the behavior of concrete under triaxial compression.” J. Eng. Mech., 156–163.
Sheikh, S. A., and Uzumeri, S. M. (1980). “Strength and ductility of tied concrete columns.” J. Struct. Eng., 1079–1102.
Smith, S. S., Willam, K. J., Gerstle, K. H., and Sture, S. (1989). “Concrete over the top--or, is there life after peak?” ACI Mater. J., 86(5), 491–497.
Spoelstra, M. R., and Monti, G. (1999). “FRP-confined concrete model.” J. Compos. Constr., 143–150.
Tan, K. H., and Sun, X. (2004). “Failure criteria of concrete under triaxial compression.” Int. Symp. Confined Concrete, American Concrete Institute, Farmington Hills, MI.
Tasdemir, M. A., Tasdemir, C., Jefferson, A. D., Lydon, F. D., and Barr, B. I. G. (1998). “Evaluation of strains at peak stresses in concrete: A three-phase composite model approach.” Cem. Concr. Res., 20(4), 301–318.
Teng, J. G., Huang, Y. L., Lam, L., and Ye, L. P. (2007). “Theoretical model for fiber-reinforced polymer-confined concrete.” J. Compos. Constr., 201–210.
Vincent, T., and Ozbakkaloglu, T. (2013a). “Influence of concrete strength and confinement method on axial compressive behavior of FRP-confined high- and ultra high-strength concrete.” Compos. Part B, 50, 413–428.
Vincent, T., and Ozbakkaloglu, T. (2013b). “Influence of fiber orientation and specimen end condition on axial compressive behavior of FRP-confined concrete.” Constr. Build. Mater., 47, 814–826.
Vu, X. H., Malecot, Y., Daudeville, L., and Buzaud, E. (2009). “Experimental analysis of concrete behavior under high confinement: Effect of the saturation ratio.” Int. J. Solids Struct., 46(5), 1105–1120.
Xiao, Q. G., Teng, J. G., and Yu, T. (2010). “Behavior and modeling of confined high-strength concrete.” J. Compos. Constr., 249–259.
Xiao, Y., and Wu, H. (2000). “Compressive behavior of concrete confined by carbon fiber composite jackets.” J. Mater. Civ. Eng., 139–146.
Xiao, Y., and Wu, H. (2003). “Compressive behavior 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 high-strength concretes containing silica fume.” ACI Mater. J., 92(2), 135–145.
Yu, T., Teng, J. G., Wong, Y. L., and Dong, S. L. (2010a). “Finite element modeling of confined concrete-I: Drucker-Prager type plasticity model.” Eng. Struct., 32(3), 665–679.
Yu, T., Teng, J. G., Wong, Y. L., and Dong, S. L. (2010b). “Finite element modeling of confined concrete-II: Plastic-damage model.” Eng. Struct., 32(3), 680–691.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 141Issue 5May 2015

History

Received: May 24, 2013
Accepted: Apr 4, 2014
Published online: Jul 21, 2014
Discussion open until: Dec 21, 2014
Published in print: May 1, 2015

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Jian C. Lim
Ph.D. Candidate, School of Civil, Environmental and Mining Engineering, Univ. of Adelaide, Adelaide SA 5005, Australia.
Togay Ozbakkaloglu [email protected]
Senior Lecturer, School of Civil, Environmental and Mining Engineering, Univ. of Adelaide, Adelaide SA 5005, Australia (corresponding author). E-mail: [email protected]

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