DOI QR코드

DOI QR Code

A trilinear stress-strain model for confined concrete

  • Ilki, Alper (Istanbul Technical University, Civil Engineering Faculty, Structural and Earthquake Engineering Laboratory) ;
  • Kumbasar, Nahit (Istanbul Technical University, Civil Engineering Faculty, Reinforced Concrete Division) ;
  • Ozdemir, Pinar (Istanbul Technical University, Civil Engineering Faculty, Mechanics Department) ;
  • Fukuta, Toshibumi (Building Research Institute)
  • Received : 2003.06.11
  • Accepted : 2004.06.26
  • Published : 2004.11.25

Abstract

For reaching large inelastic deformations without a substantial loss in strength, the potential plastic hinge regions of the reinforced concrete structural members should be confined by adequate transverse reinforcement. Therefore, simple and realistic representation of confined concrete behaviour is needed for inelastic analysis of reinforced concrete structures. In this study, a trilinear stress-strain model is proposed for the axial behaviour of confined concrete. The model is based on experimental work that was carried out on nearly full size specimens. During the interpretation of experimental data, the buckling and strain hardening of the longitudinal reinforcement are also taken into account. The proposed model is used for predicting the stress-strain relationships of confined concrete specimens tested by other researchers. Although the proposed model is simpler than most of the available models, the comparisons between the predicted results and experimental data indicate that it can represent the stress-strain relationship of confined concrete quite realistically.

Keywords

References

  1. Ahmad, S.H. and Shah, S.P. (1982), "Stress-strain curves of concrete confined by spiral reinforcement", J. of the American Concrete Institute, 79(6), 484-490.
  2. Ahmad, S.H. and Shah, S.P. (1985), "Behavior of hoop confined concrete under high strain rates", J. of the American Concrete Institute, 82, 634-647.
  3. Assa, B. and Nishiyama, M. (1998), "Prediction of load-displacement curve of high-strength concrete columns under simulated seismic loading", ACI Struct. J., 95(5), 547-557.
  4. Braga, F. and Laterza, M. (1998), "A new approach to the confinement of R/C columns", Proc. of Eleventh European Conf. on Earthquake Engineering, Paris, September.
  5. Chang, G.A. and Mander, J.B. (1994), "Seismic energy fatigue damage analysis of bridge columns: Part I - Evaluation of seismic capacity", Technical Report, NCEER-94-0006, State University of New York at Buffalo, NY.
  6. Cusson, D. and Paultre, P. (1995), "Stress-strain model for confined high-strength concrete", J. Struct. Eng., ASCE, 121(3), 468-477. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:3(468)
  7. Dilger, W.H., Koch, R. and Kowalczyk, R. (1984), "Ductility of plain and confined concrete under different strain rates", J. of the American Concrete Institute, 81, 73-81.
  8. Hoshikuma, J., Kawashima, K., Nagaya, K. and Taylor, A.W. (1997), "Stress-strain model for confined reinforced concrete in bridge piers", J. Struct. Eng., ASCE, 123(5), 624-633. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:5(624)
  9. Hsu, L.S. and Hsu, C.T.T. (1994), "Complete stress-strain behaviour of high-strength concrete under compression", Magazine of Concrete Research, 46(169), 301-312. https://doi.org/10.1680/macr.1994.46.169.301
  10. Ilki, A., Ozdemir, P. and Fukuta, T. (1997), "Confinement effect of reinforced concrete columns with circular cross-section", BRI Research Paper, 143, Building Research Institute, Tsukuba.
  11. Ilki, A., Ozdemir, P. and Fukuta, T. (1998), "Observed behavior of confined concrete under compression", Proc. of 11th European Conf. on Earthquake Engineering, Paris, France, on CD-ROM.
  12. Ilki, A. (1999), "A compilation on the stress-strain relationships of confined concrete", Technical Report No. TDV/TR022/36, Turkish Earthquake Foundation, Istanbul, (in Turkish).
  13. Ilki, A. and Kumbasar, N. (2001), "A comparison between experimental data and analytical models for confined concrete", Technical Journal of Turkish Chamber of Civil Engineers, 12(3), 2419-2433, (in Turkish).
  14. Kent, D.C. and Park, R. (1971), "Flexural members with confined concrete", J. Struct. Div., ASCE, 97(ST7), 1969-1990.
  15. Mander, J.B. (1983), "Seismic design of bridge piers", A thesis submitted in partial fulfillment of the requirements for the Degree of Doctor of Philosophy in Civil Engineering, University of Canterbury, Christchurch.
  16. Mander, J.B., Priestley, M.J.N. and Park, R. (1988a), "Observed stress-strain behavior of confined concrete", J. Struct. Div., 114(8), 1827-1849. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1827)
  17. Mander, J.B., Priestley, M.J.N. and Park, R. (1988b), "Theoretical stress-strain model for confined concrete", J. Struct. Div., ASCE, 114(8), 1804-1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)
  18. Mau, S.T. and El-Mabsout, M. (1989), "Inelastic buckling of reinforcing bars", J. Eng. Mech., ASCE, 115(1), 1- 17. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:1(1)
  19. Mau, S.T. (1990), "Effect of tie spacing on inelastic buckling of reinforcing bars", ACI Struct. J., 87(6), 671-677.
  20. Monti, G. and Nuti, C. (1992), "Nonlinear cyclic behavior of reinforcing bars including buckling", J. Struct. Eng., ASCE, 118(12), 3268-3284. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:12(3268)
  21. Mugurama, H., Watanabe, F., Iwashimizu, T. and Mitsueda, R. (1983), "Ductility improvement of high strength concrete by lateral confinement", Transactions of Japan Concrete Institute, 5, 403-410.
  22. Mugurama, H., Watanabe, F. and Komuro, T. (1990), "Ductility improvement of high-strength concrete columns with lateral confinement," In ACI Spec. Publ., SP-121-4, Am. Conc. Inst., Detroit, Mich., 47-60.
  23. Park, R., Priestley, M.J.N. and Gill, W.D. (1982), "Ductility of square-confined concrete columns", J. Struct. Div., ASCE, 108(ST4), 929-950.
  24. Priestley, M.J.N., Park, R. and Potangaroa, R.T. (1981), "Ductility of spirally confined columns", J. Struct. Div., ASCE, 107(ST1), 181-202.
  25. Rodriguez, M.E., Botero, J.C. and Villa, J. (1999), "Cyclic stress-strain behavior of reinforcing steel including effect of buckling", J. Struct. Eng., ASCE, 125(6), 605-612. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:6(605)
  26. Saatcioglu, M. and Razvi, S.R. (1992), "Strength and ductility of confined concrete", Struct. J., ASCE, 118(6), 1590-1607. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1590)
  27. Saatcioglu, M., Salamat, A.H. and Razvi, S.R. (1995), "Confined columns under eccentric loading", J. Struct. Eng., ASCE, 121(11), 1547-1556. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:11(1547)
  28. Sakai, K. and Sheikh, S.A. (1989), "What do we know about confinement in reinforced concrete columns?", ACI Struct. J., 86(2), 192-207.
  29. Sargin, M., Ghosh, K. and Handa, V.K. (1971), "Effects of lateral reinforcement upon the strength and deformation properties of concrete," Magazine of Concrete Research, 23(75-76), 99-110. https://doi.org/10.1680/macr.1971.23.76.99
  30. Sheikh, S.A. (1982), "A comparative study of confinement models", J. of the American Concrete Institute, 79(3), 296-305.
  31. Sheikh, S.A. and Uzumeri, S.M. (1982), "Analytical model for concrete confinement in tied columns", J. Struct. Div., ASCE, 108(ST12), 2703-2722.
  32. Sheikh, S.A. and Toklucu, M.T. (1993), "Reinforced concrete columns confined by circular spirals and hoops", ACI Struct. J., 90(5), 542-553.
  33. Vallenas, J., Bertero, V.V. and Popov, E.P. (1977), "Concrete confined by rectangular hoops subjected to axial loads", Report No. UBC/EERC-77/13, University of California, Berkeley.
  34. Yalcin, C. and Saatcioglu, M. (2000), "Inelastic analysis of reinforced concrete columns", Comput. Struct., 77, 539-555. https://doi.org/10.1016/S0045-7949(99)00228-X

Cited by

  1. Estimation of flexural capacity of quadrilateral FRP-confined RC columns using combined artificial neural network vol.42, 2012, https://doi.org/10.1016/j.engstruct.2012.04.013
  2. Model uncertainty in the estimation of the resistance of circular reinforced concrete columns confined by carbon fiber reinforced polymer vol.14, pp.1, 2018, https://doi.org/10.1080/15732479.2017.1328447
  3. Compression behavior of concrete columns confined by high strength steel wire vol.54, 2014, https://doi.org/10.1016/j.conbuildmat.2013.12.083
  4. Compressive behavior of large-scale square reinforced concrete columns confined with carbon fiber reinforced polymer jackets vol.31, pp.1, 2010, https://doi.org/10.1016/j.matdes.2009.06.008
  5. FRP Retrofit of Low and Medium Strength Circular and Rectangular Reinforced Concrete Columns vol.20, pp.2, 2008, https://doi.org/10.1061/(ASCE)0899-1561(2008)20:2(169)
  6. Seismic Retrofit of Brittle and Low Strength RC Columns Using Fiber Reinforced Polymer and Cementitious Composites vol.12, pp.3, 2009, https://doi.org/10.1260/136943309788708356
  7. Monotonic Behavior of Reinforced Concrete Columns Confined with High-Performance Ferrocement vol.139, pp.4, 2013, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000684
  8. Seismic Retrofit of Full-Scale Substandard Extended Rectangular RC Columns through CFRP Jacketing: Test Results and Design Recommendations vol.23, pp.1, 2019, https://doi.org/10.1061/(ASCE)CC.1943-5614.0000907
  9. Modeling for complete stress-strain curve of circular concrete columns confined with steel spiral and FRP vol.44, pp.None, 2004, https://doi.org/10.1016/j.jobe.2021.103294