DOI QR코드

DOI QR Code

Composed material models for nonlinear behavior of reinforced concrete

  • Dede, Tayfun (Department of Civil Engineering, Karadeniz Technical University) ;
  • Ayvaz, Yusuf (Department of Civil Engineering, Yildiz Technical University)
  • Received : 2012.04.25
  • Accepted : 2013.03.31
  • Published : 2013.09.01

Abstract

The purpose of this study is to present different composed material models for reinforced concrete structures (RC). For this aim a nonlinear finite element analysis program is coded in MATLAB. This program contains several yield criteria and stress-strain relationships for compression and tension behavior of concrete. In this study, the well-known criteria, Drucker-Prager, von Mises, Mohr Coulomb, Tresca, and two new criteria, Hsieh-Ting-Chen and Bresler-Pister, are taken into account. It is concluded that the coded program, the new yield criteria, and the models considered can be effectively used in the nonlinear analysis of reinforced concrete beams.

Keywords

References

  1. Ayoub, A. and Filippou, F.C. (1998), "Nonlinear finite-element analysis of RC shear panels and wall", J. Struct. Eng., 124(3), 298-308. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:3(298)
  2. Barros, H.F.M. and Martins, R.A.F. (2012), "Nonlinear analysis of service stresses in reinforced Concrete sections-closed form solutions", Comput. Concr., 10(5), 541-555. https://doi.org/10.12989/cac.2012.10.5.541
  3. Barzegar, F. and Schnobrich, W.C. (1962), "Nonlinear Finite Element Analysis of RC Under Short TermMonotonic Loading", 0, SRS No.530, University of Illinois, Urbana.
  4. Belmouden, Y. and Lestuzzi, P. (2007) "Analytical model for predicting nonlinear reversed cyclic behavior of reinforced concrete structural walls", Eng. Struct., 29(7), 1263-1276. https://doi.org/10.1016/j.engstruct.2006.08.014
  5. Bentz, E.C. (1999) "Sectional analysis of reinforced concrete members", Ph.D. Thesis, University of Tronto.
  6. Bitchoff, P.H. (2003), "Tension stiffening and cracking of steel fiber-reinforced concrete", J. Mat. Civil Eng., 15(2), 174-182. https://doi.org/10.1061/(ASCE)0899-1561(2003)15:2(174)
  7. Bitchoff, P.H. (2001), "Effects of shrinkage on tension stiffening and cracking in reinforced concrete", Can. J. Civil Eng., 28(3), 363-374. https://doi.org/10.1139/l00-117
  8. Bratina, S., Saje, M. and Planinc, I. (2004), "On materially and geometrically nonlinear analysis of reinforced concrete planar frames", Int. J. Solids Struct., 41(24-25), 7181-7207. https://doi.org/10.1016/j.ijsolstr.2004.06.004
  9. Bresler, B. and Pister, K.S. (1958), "Strenght of concrete under combined stresses", J. Am. Concr. Inst. 55(9), 321-345.
  10. Bresler, B. and Scordelis, A.C. (1964), "Shear strength of reinforced concrete beams-series II", SESM Report No 64-2, University of California, Berkeley.
  11. Burns, N.H. and Siess, C.P. (1962), "Load-deformations characteristics of beam-column connections in reinforced concrete", Civil Engineering Studies, SRS No.243, University of Illinois, Urbana.
  12. Cervenka, V. and Gerstle, K.H. (1971), "Inelastic analysis of reinforced concrete panels. Part I: theory", Assoc Bridge Struct. Engrs. Publs, 31(11), 31-45.
  13. Chen, W.F. (1982), Plasticity in Reinforced Concrete, McGraw-Hill, New York.
  14. Chen, W.F. (1994), Constitutive Equation for Engineering Materials, Elsevier, New York.
  15. Collins, M.P. and Porasz, A. (1989), "Shear design of high strength concrete", CEB Bulletin d' Information. 193, 77-83.
  16. Darwin, D. and Pecknold, D.A. (1976), "Analysis of RC shear panels under cyclic loading", J. Struct. Div. ASCE, 102(2), 355-69.
  17. Dede, T. and Ayvaz, Y. (2009), "Nonlinear analysis of reinforced concrete beam with/without tension stiffening effect", Mat. Des., 30(9), 3846-3851. https://doi.org/10.1016/j.matdes.2009.02.003
  18. Demir, F. (1998), "Applications of finite element in reinforced concrete elements", Ph.D. Thesis, Istanbul Technical University.
  19. Desayi, P. and Krishnan, S. (1964), "Equation for the stress-strain curve of concrete". ACI J. 6, 345-350.
  20. Hognestad, E. (1951), "A sudy of cnbined and aial lad in rinforced cncrete mmbers", University of Illinois Engineering Station, Bulletin Series 399:1.
  21. Hoshikuma, J., Kazuhiko, K., Kazuhiko, N. and Taylor, A.W. (1996), "A model for confinement effect on stress-strain relation of reinforced concrete columns for seismic design", Proceeding of the 11th World conference Eartquake Engneering, London.
  22. Hsieh, S.S., Ting, E.C. and Chen, W.F. (1979), "An Elastic-Fracture Model for Concrete", Proceeding of the Third Engineering Mechanics Division Specialty Conference, 437-440.
  23. Izumo, J., Shin, H., Maekawa, K. and Okamura, H. (1992), "An analytical model for RC panels subjected to in-plane stresses", Conc. Shear Earth., 206-215.
  24. Koksal, H.O., Doran, B. and Turgay, T. (2009), "A practical approach for modeling FRP wrapped concrete columns", Const. Buil. Mat., 23(3), 1429-1437. https://doi.org/10.1016/j.conbuildmat.2008.07.008
  25. Kwak, H.G. and Kim, D.Y. (2001), "Nonlinear analysis of RC shear walls considering tension-stiffening effect", Comput. Struct., 79(5), 499-517. https://doi.org/10.1016/S0045-7949(00)00157-7
  26. Pankaj, P. and Lin, E. (2005), "Material modeling in the seismic response analysis for the design of RC frames structures", Eng. Struct., 27(7), 1014-1023. https://doi.org/10.1016/j.engstruct.2005.02.003
  27. Park, H. and Kim, J.Y. (2005), "Plasticity model using multiple failure criteria for concrete in compression", Int. J. Plast., 42(8), 2303-2322.
  28. Park, R. and Paulay, T. (1975), Reinforced concrete structures, John Wiley & Sons, Inc, United States of America.
  29. Popovics, S. (1973), "A numerical approach to the complete stress-strain curve of concrete", Cem. Concr. Res., 3(5), 583-599. https://doi.org/10.1016/0008-8846(73)90096-3
  30. Ronagh, S.S. and Ronagh, H.R. (2011), "Numerical modelling for monitoring the hysteretic behaviour of CFRP-retrofitted RC exterior beam-column joints", Struct. Eng. Mech., 38(1), 27-37. https://doi.org/10.12989/sem.2011.38.1.027
  31. Saenz, L.P. (1964), "Discussion of equation for the stress-strain curve of concrete by Desayi and Krishnan", Am. Conc. Ins. J., 61(3), 1229-1235.
  32. Shayanfar, M.A., Kheyroddin, A. and Mirza, M.S. (1997), "Element size effects in nonlinear analysis of reinforced concrete members", Comput. Struct., 62(2), 339-352. https://doi.org/10.1016/S0045-7949(96)00007-7
  33. Stramandinoli, R.S.B. and Rovere, H.L.L. (2008), "An efficient tension-stiffening model for nonlinear analysis of reinforced concrete members", Eng. Struct., 30(7), 2069-2080. https://doi.org/10.1016/j.engstruct.2007.12.022
  34. Wang, T. and Hsu, T.T.C. (2001), "Nonlinear finite element analysis of concrete structures using new Constitutive Models", Comput. Struct., 79(32), 2781-2791. https://doi.org/10.1016/S0045-7949(01)00157-2
  35. Wong, P.S.L. (1992), "User Facilities for 2D Nonlinear Finite Element Analysis of Reinforced Concrete", M. Sc. Thesis, University of Toronto.
  36. Zhao, Z.Z., Kwan, A.K.H. and He, X.G. (2004), "Nonlinear finite element analysis of deep reinforced concrete coupling beams", Eng. Struct., 26(1), 13-25. https://doi.org/10.1016/j.engstruct.2003.08.014

Cited by

  1. Developing Nonlinear Behavior of Reinforced Concrete Elements Using an Intelligent Approach vol.25, pp.13, 2021, https://doi.org/10.1080/13632469.2019.1628126