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Failure criteria of concrete- A review

  • Muthukumar, G. (Civil Engineering Department, BITS) ;
  • Kumar, Manoj (Civil Engineering Department, BITS)
  • Received : 2012.06.24
  • Accepted : 2014.10.01
  • Published : 2014.11.28

Abstract

Concrete is a versatile construction material used in many engineering structures. The design of concrete structures requires a thorough understanding of their material properties under various loading conditions. Several experimental investigations have been carried out to examine the behavior of concrete. This paper is an attempt to summarize the behavioral aspects of concrete under different loading conditions. Failure models developed out of these experimental investigations are reported in this paper with their merits and demerits.

Keywords

References

  1. Ansari, F. (1987), "Stress-strain response of microcracked concrete in direct tension", ACI Mater. J., 84(6), 481-490.
  2. Bagheripour, M.H., Rahgozar, R., Pashnesaz, H. and Malekinejad, M. (2011), "A complement to hoek-brown failure criterion for strength prediction in anisotropic rock", Geomech. Eng., 3(1), 61-81. https://doi.org/10.12989/gae.2011.3.1.061
  3. Balmer (1949), Shearing Strength of Concrete under High Triaxial Stress-Computation of Mohr's Envelope as a Curve, Structural Research Laboratory Report, No SP-23, United States Department of the Interior, Bureau of Reclamation, Washington, DC.
  4. Bhargava, P., Bhowmick, R., Sharma, U. and Kaushik, S.K. (2006), "Three-dimensional finite element modeling of confined high-strength concrete columns", Special Publication, ACI , 238, 249-266.
  5. Bortolotti, L., Carta, S. and Cireddu, D. (2005), "Unified yield criterion for masonry and concrete in multiaxial stress states", ASCE, J. Mater. Civil Eng., 17(1), 54-62. https://doi.org/10.1061/(ASCE)0899-1561(2005)17:1(54)
  6. Brestler, B. and Pister. (1958), "Behavior of concrete under triaxial compressive-compressive-tensile stresses", ACI Mater. J., 8(2), 181-185.
  7. Brestler, B. and Pister. (1958), "Strength of concrete under combined stresses", Proceedings of ACI Journal, 55(3), 321-346.
  8. Buyukozturk, O. and Shareef. S.S. (1985), "Constitutive modeling of concrete in finite element analysis", Comput. Struct., 21(3), 581-610. https://doi.org/10.1016/0045-7949(85)90135-X
  9. Carreira, D.J. and Chu, K.H. (1986), "Stress-strain relationship for plain concrete in compression", Proceedings of ACI Journal, 82(6), 797-804.
  10. Cedolin, L. and Mulas, M.G. (1984), "Biaxial stress-strain relation for concrete", ASCE, J. Eng. Mech. Div., 110(2), 187-206. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:2(187)
  11. Cedolin, L., Crutzen, Y.R.J. and Dei Poli, S. (1977), "Triaxial stress-strain relationship for concrete", ASCE, J. Eng. Mech. Div., 103(3), 423-439.
  12. Chen, A.C.T. and Chen, W.F. (1975), "Constitutive relations for concrete", J. Eng. Mech. Div. 101(4), 465-481.
  13. Chen, W. F. (1982), "Plasticity in reinforced concrete", McGraw-Hill, New York.
  14. Chen, W.F. and Han, D.J. (2008), "Plasticity for structural engineers", J. Ross Publishing, India.
  15. Darwin, D. and Pecknold, D.A. (1977), "Nonlinear biaxial stress-strain law for concrete", ASCE, J. Eng. Mech. Div., 103(2), 229-241.
  16. Dede, T. and Ayvaz, Y. (2010), "Comprative study of plasticity models for concrete material by using different criteria including Hseih-Ting-Chen criterion", Mater. Des., 31(3), 1482-1489. https://doi.org/10.1016/j.matdes.2009.08.026
  17. Du, X.L., Lu D.C., Gong, Q.M. and Zhao, M. (2010), "Nonlinear unified strength criterion for concrete under three-dimensional stress states", ASCE, J. Eng. Mech. Div., 131(1), 51-59.
  18. Fanning, P. (2001), "Nonlinear models of Reinforced and post-tensioned concrete beams", Elect. J. Struct., 2, 111-119.
  19. Fan, S.C. and Wang, F. (2002), "A new strength criterion for concrete", ACI Struct. J., 99(3), 317-326.
  20. Fardis, M.N., Alibe, B. and Tasoulas, J.L. (1983), "Monotonic and cyclic constitutive law for concrete", ASCE, J. Eng. Mech. Div., 109(2), 516-536. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:2(516)
  21. Fehling, E., leutbecher, T. and Roeder, F.K. (2011), "Compression-Tension strength of Reinforced and Fiber-Reinforced concrete", ACI Struct. J., 108(3), 350-359.
  22. Folino, P., Etse, G. and Will, A. (2009), "Performance dependent failure criterion for normal-and high-strength concretes", ASCE, J. Eng.Mech. Div., 35(12), 1393-1409.
  23. Gardner, N.J. (1989), "Triaxial behavior of concrete", Proceedings of ACI Journal, 66(2), 136-146.
  24. Gopalarathnam, V.S. and Shah, S.P. 1985), "Softening response of plain concrete in direct tension", ACI Struct. J., 82(2), 310-323.
  25. Han, D.J. and Chen, W.F. 1987), "Constitutive modelling in analysis of concrete structures", ASCE, J. Eng. Mech. Div., 113(4), 577-593. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:4(577)
  26. Hinchberger, S.D. (2009), "Simple single-surface failure criterion for concrete", Technical Notes. ASCE, J. Eng. Mech., 135(7), 729-732. https://doi.org/10.1061/(ASCE)0733-9399(2009)135:7(729)
  27. Hognestad, E., Hansen, N.W. and McHenry, D. (1955), "Concrete stress distribution in ultimate strength design", ACI Journal, 52(4), 455-480.
  28. Hughes, B.P. and Chapman, G.P. (1966), "The complete stress-strain curve for concrete in direct tension", RILEM Bulletin, 30, 95-97.
  29. Hussein, A. and Marzouk, H. (2000), "Behavior of high-strength concrete under biaxial stresses", ACI Mater. J., 97(1), pp. 27-36.
  30. Imran, I. and Pantazopoulou, S.J. (2001), "Plasticity model for concrete under triaxial compression", ASCE, J. Eng. Mech. Div., 127(3), 281-290. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:3(281)
  31. Imran, I. and Pantazopoulou, S.J. (1991), "Experimental study of plain concrete under triaxial stresses", ACI Mater. J., 93(6), 589-601.
  32. Karam, G. and Tabbara, M. (2012), "Hoek-brown strength criterion for actively confined concrete", J. Mater. Civil Eng., 21(3), 110-118.
  33. Karsan, I.D. and Jirsa, J.O. (1969), "Behavior of concrete under compressive loadings", ASCE, J. Struct. Div., 95(12), 2543-2563.
  34. Kotsovos, M.D. and Newman J.B. (1977), "Behavior of concrete under multiaxial stress", Proceedings of ACI J., 74(9), 443-446.
  35. Kupfer, H. and Gerstle. (1973), "Behavior of concrete under biaxial stresses", ASCE, J. Eng. Mech. Div., 99(4), 853-866.
  36. Kupfer, H., Hilsdorf, H.K. and Rusch, H. (1969), "Behavior of concrete under biaxial stresses", Proceedings of ACI J., 66(8), 656-666.
  37. Kwak, H.G. and Filippou, F.P. (1990), Finite Element Analysis of Reinforced Concrete Structures under Monotonic Loads, Report No. UCB/SEMM-90/14, Earthquake Engineering Research Centre, University of California, Berkeley.
  38. Li, L.Y. and Harmon T.G. (1990), "Three-parameter failure criterion for concrete", ASCE, J. Mater. Civil Eng., 2(4), 215-222. https://doi.org/10.1061/(ASCE)0899-1561(1990)2:4(215)
  39. Lan, S. and Guo, Z. (1999), "Biaxial compression behavior of concrete under repeated loading", ASCE, J. Mater. Civil Eng., 105(11), 105-115.
  40. Lee, S.K., Song, Y.C. and Han, S.H. (2004), "Biaxial behavior of plain concrete of nuclear containment building", Nuclear Eng. Des., 227(2), 143-153. https://doi.org/10.1016/j.nucengdes.2003.09.001
  41. Linhua, J., Dahai, H. and Nianxiang, X. (1991), "Behavior of concrete under triaxial compressive-compressive tensile stresses", ACI Mater. J., 88(2), 181-185.
  42. Liu, T.C.Y., Nilson, A.H. and Slate, S.F.O. (1972), "Stress-strain response and fracture of a concrete in uniaxial and biaxial compression", Proceedings of ACI Journal, 69(5), 291-295.
  43. Menetrey, P. and Willam, K.J. (1995), "Triaxial failure criterion for concrete and its generalization", Proceedings of ACI Journal, 92(3), 311-318.
  44. Mills, L.L. and Zimmerman, R.M. (1970), "Compressive Strength of Plain Concrete Under Multiaxial Loading Conditions", Proceedings of ACI J., 67(10), 802-807.
  45. Mlakar, P.F., Vitaya-Udom, K.P. and Cole, R.A. (1985), "Dynamic tensile-compressive behavior of concrete", ACI Journal, 86(5), 484-491.
  46. Mansour, M.H. (2010), "Theoretical analysis of tunnel lining subjected to fire", J. Eng. Sci., 38(3), 619-640.
  47. Nayak, G.C. and Zeinkiewicz, O.C. (1972), "Convenient forms of stress invariants for plasticity", ASCE, J. Struct. Eng., 98(4), 949-954.
  48. Ottosen N.S. (1993), "A failure criterion for concrete", ASCE, J. Eng. Mech. Div., 103(4), 527-535.
  49. Ren, X., Yang, W., Zhou, Y. and Li, J. (2008), "Behavior of high performance concrete under uniaxial and biaxial loading", ACI Mater. J., 105(6), 548-557.
  50. Ribeiro, G. de O. and Oliveira, A.L. (1998), "Elastoplastic analysis of RC plates using the Reissner's model and the boundary element method", Proceedings of Computational Mechanics, New Trends and Applications, Barcelona, Spain.
  51. Seow, P.E.C. (2005), "A unified failure criterion for normal, high-strength and steel fibre-reinforced concrete", PhD Thesis, Department of Civil Engineering, National University of Singapore, Singapore.
  52. Seow, P.E.C. and Swaddiwudhipong S. (2005), "Failure surface for concrete under multiaxial load - a unified approach", ASCE, J. Mater.Civil Eng., 17(2), 219-228. https://doi.org/10.1061/(ASCE)0899-1561(2005)17:2(219)
  53. Sinha, B.P., Gerstle, K.H. and Tulin, L.G.(1964), "Stress-strain relations for concrete under cyclic loading", Proceedings of ACI Journal, 61(2), 195-212.
  54. Tasuji, M.E., Slate, F.O. and Nilson, A.H. (1978), "Stress-strain response and fracture of concrete in biaxial loading", Proceedings of ACI Journal, 75(7), 306-312.
  55. Tsai, W.T. (1988), "Uniaxial compressional stress-strain relation of concrete", ASCE, J. Struct. Div., ASCE, 114(9), 2133-2166. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:9(2133)
  56. Vecchio (1998), "Lessons from the analysis of a 3-D concrete shear wall", Struct. Eng. Mech., 6(4), 439-455. https://doi.org/10.12989/sem.1998.6.4.439
  57. Willam, K. and Warnke, E. (1975), "Constitutive model for triaxial behaviour of concrete", Proceedings of the International Association for Bridge and Structural Engineering, Zurich, Switzerland, 1-30.
  58. Yan, Z. and Pantelides, C.P. (2006), "Fiber-Reinforced polymer jacketed and shape - modified compression members: II - Model", ACI Struct. J., 103(6), 894-903.
  59. Yin, W.S., Su, E.C.M., Mansur, M.A. and Hsu, T.T.C. (1989), "Biaxial tests of plain and fibre concrete", ACI Mater. J., 86(3), 236-243.
  60. Yu, M.H. (2002b), "Advances in strength theories for materials under complex stress state in the 20th century", Appl. Mech. Rev. ASME, 55(3), 169-218. https://doi.org/10.1115/1.1472455
  61. Yu, M.H. (2004), "Unified strength theory and its applications", Springer, Berlin.
  62. Zhi, W.C., Hai, G.Z. and Qin, Z.X. (1987), "Experimental investigation of biaxial and triaxial compressive concrete strength", ACI Mater. J., 84(2), 92-100.

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