Computers and Concrete

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Application of direct tension force transfer model with modified fixed-angle softened-truss model to finite element analysis of steel fiber-reinforced concrete members subjected to Shear

  • Lee, Deuck Hang (Department of Architectural Engineering, University of Seoul) ;
  • Hwang, Jin-Ha (Department of Architectural Engineering, University of Seoul) ;
  • Ju, Hyunjin (Department of Architectural Engineering, University of Seoul) ;
  • Kim, Kang Su (Department of Architectural Engineering, University of Seoul)
  • Received : 2012.02.12
  • Accepted : 2013.07.30
  • Published : 2014.01.25
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Abstract

Steel fiber-reinforced concrete (SFRC) is known as one of the efficient modern composites that can greatly enhance the material performance of cracked concrete in tension. Such improved tensile resistance mechanism at crack interfaces in SFRC members can be heavily influenced by methodologies of treatments of crack direction. While most existing studies have focused on developing the numerical analysis model with the rotating-angle theory, there are only few studies on finite element analysis models with the fixed-angle model approach. According to many existing experimental studies, the direction of principal stress rotated after the formation of initial fixed-cracks, but it was also observed that new cracks with completely different angles relative to the initial crack direction very rarely occurred. Therefore, this study introduced the direct tension force transfer model (DTFTM), in which tensile resistance of the fibers at the crack interface can be easily estimated, to the nonlinear finite element analysis algorithm with the fixed-angle theory, and the proposed model was also verified by comparing the analysis results to the SFRC shear panel test results. The secant modulus method adopted in this study for iterative calculations in nonlinear finite element analysis showed highly stable and fast convergence capability when it was applied to the fixed-angle theory. The deviation angle between the principal stress direction and the fixed-crack direction significantly increased as the tensile stresses in the steel fibers at crack interfaces increased, which implies that the deviation angle is very important in the estimation of the shear behavior of SFRC members.

Keywords

Acknowledgement

Supported by : Ministry of Land, Transport and Maritime Affairs

References

  1. Abrishami, H.H. and Mitchell, D. (1997), "Influence of steel fibers on tension stiffening", ACI Struct. J., 94(6), 769-776.
  2. ACI-ASCE Committee 445 on Shear and Torsion (1999), "Recent approaches to shear design of structural concrete", J. Struct. Engr., ASCE, 124(12), 1375-1417.
  3. ACI Committee 544 (1988), "Design consideration for steel fiber reinforced concrete (ACI 544.4R-88)", ACI Struct. J., 85(5), 563-580.
  4. Bathe, K.J. (1996), Finite Element Procedure, Prentice-Hall, Upper Saddle River, NJ.
  5. Chen, W.F. (1982), Plasticity in Reinforced Concrete, McGraw-Hill, USA.
  6. Collins, M.P. and Mitchell, D. (1991), Prestressed Concrete Structures, Prentice Hill, Englewood Cliffs, NJ, USA.
  7. Crisfield, M.A. and Wills, J. (1989), "Analysis of R/C panels using different concrete models", J. Engr. Mech., ASCE, 115(3), 578-597. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:3(578)
  8. Dupont D. and Vandewalle, L. (2003), "Calculation of crack widths with the s-e method", Test and Design Methods for Steel Fibre Reinforced Concrete: Background and Experiences - Proceedings of the RILEM TC162-TDF Workshop, RILEM Technical Committee 162-TDF, Bochum, Germany, 119-144.
  9. Hwang, J.H., Lee, D.H., Kim, K.S., Ju, H. and Seo, S.Y. (2012), "Evaluation of shear performance of steel fiber-reinforced concrete beams using a modified smeared-truss model", Mag. Concrete Res., 65(5), 283-296.
  10. Hwang, J.H., Lee, D.H., Ju, H.J., Kim, K.S. Seo, S.Y. and Kang, J.W. (2013), "Shear behavior models of steel fiber-reinforced concrete beams modifying softened truss model approaches", Materials, Special Publication: Constitutive model on composite materials, 6(10), 4847-4867.
  11. Hu, H. and Schnobrich, W.C. (1990), "Nonlinear analysis of cracked reinforced concrete", ACI Struct. J., 87(2), 199-207.
  12. Hsu, T.T.C. (1998), "Stresses and crack angles in concrete membrane elements", J. Struct. Eng., ASCE, 124(12), 1476-1484. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:12(1476)
  13. Hsu, T.T.C. and Mo, Y.L. (2010), Unified Theory of Concrete Structures, Wiley and Sons, USA.
  14. Janis, O. (2008), "New frontiers for steel fiber-reinforced concrete", Concrete Int., 30(5), 45-50.
  15. Ju, H., Lee, D.H., Hwang, J.H., Kang, J.W., Kim, K.S. and Oh, Y.H. (2013), "Torsional behavior model of steel fiber-reinforced concrete members modifying fixed-angle softened-truss model", Comp. Part B: Eng., 45(1), 215-231. https://doi.org/10.1016/j.compositesb.2012.09.021
  16. Ju, H., Lee, D.H., Hwang, J.H., Kim, K.S. and Oh, Y.H. (2013), "Fixed-angle smeared-truss approach with direct tension force transfer model for torsional behavior of steel fiber-reinforced concrete members", J. Adv. Concrete Tech., 11(1), 215-229. https://doi.org/10.3151/jact.11.215
  17. Kim, J.Y., Park, H.G. and Yi, S.T. (2011), "Plasticity model for directional nonlocality by tension cracks in concrete planar members", Engr. Struct., 33(3), 1001-1012. https://doi.org/10.1016/j.engstruct.2010.12.023
  18. Kim, K.S., Lee, D.H., Hwang, J. and Kuchma, D.A. (2012), "Shear behavior model for steel fiber-reinforced concrete members without transverse reinforcements", Comp. Part B: Eng., 43(5), 2324-2334. https://doi.org/10.1016/j.compositesb.2011.11.064
  19. Lee, D.H., Hwang, J.H., Ju, H., Kim, K.S. and Kuchma, D.A. (2012), "Nonlinear finite element analysis of steel fiber-reinforced concrete members using direct tension force transfer model", Finite Elem. Anal. Des., 50(1), 266-286. https://doi.org/10.1016/j.finel.2011.10.004
  20. Lee, J.Y., Kim, S.W. and Mansur, M.Y. (2011), "Nonlinear analysis of shear-critical reinforced concrete beams using fixed angle theory", J. Struct. Engr, ASCE, 137(10), 1017-1029. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000345
  21. Lee, S.C., Cho, J.Y. and Vecchio, F.J. (2011), "Diverse embedment model for steel fiber-reinforced concrete in tension: model development", ACI Mat. J., 108(5), 516-525.
  22. Lim, T.Y., Paramsivam, P. and Lee, S.L. (1987), "Analytical model for tensile behavior of steel-fiber concrete", ACI Mat. J., 84(4), 286-298.
  23. Logan, D.L. (2007), A First Course in the Finite Element Method, 4th Ed., Thomson, Toronto, ON, Canada.
  24. Narayanan, R. and Darwish, I.Y.S. (1987), "Use of steel fibers as shear reinforcement", ACI Struct. J., 84(3), 216-227.
  25. Neville, A.M. (1996), Properties of Concrete, 4th ed., Wiley and Sons, London, UK.
  26. Ngo, D. and Scordelis, A.C. (1967), "Finite element analysis of reinforced concrete beams", ACI J. Proceedings, 64(3), 152-163.
  27. Pang, X.D. and Hsu, T.T.C. (1996), "Fixed angle softened truss model for reinforced concrete", ACI Struct. J., 93(2), 197-207.
  28. Popovics, S. (1973), "A numerical approach to the complete stress-strain curve and concrete", Cement Concrete Res., 3(5), 583-599. https://doi.org/10.1016/0008-8846(73)90096-3
  29. Romualdi, J.P. and Mandel, J.A. (1964), "Tensile strength of concrete affected by uniformly distributed and closely spaced short lengths of wire reinforcement", ACI J., Proceeding, 61(6), 657-671.
  30. Smith, I.M. and Griffiths, D.V. (2004), Programming the Finite Element Analysis, (4th Ed. John Wiley and Sons), Hoboken, NJ, USA.
  31. Soroushian, P. and Lee, C.D. (1990), "Distribution and orientation of fibers in steel fiber reinforced concrete", ACI Mat. J., 87(5), 433-439.
  32. Susetyo, J. (2009), "Fibre reinforcement for shrikage crack control in prestressed, precast segmental bridges", Ph.D dissertation, University of Toronto, Toronto, ON, Canada.
  33. Susetyo, J., Gauvreau, P. and Vecchio, F.J. (2011), "Effectiveness of steel fiber as minimum shear reinforcement", ACI Struct. J., 108(4), 488-496.
  34. Susetyo, J., Gauvreau, P. and Vecchio, F.J. (2013), "Steel fiber-reinforced concrete panels in shear: analysis and modeling", ACI Struct. J., 110(2), 285-295.
  35. Tan, K.H. and Mansur, M.A. (1990), "Shear transfer in steel fiber concrete", J. Mat. Civ. Eng., ASCE, 2(4) 202-214.
  36. Tan, K.H., Murugappan, K. and Paramasivam, P. (1992), "Shear behavior of steel fiber reinforced concrete beams", ACI Struct. J., 89(6), 3-11.
  37. Vecchio, F.J. (1989), "Nonlinear finite element analysis of reinforced concrete membranes", ACI Struct. J., 86(1), 26-35.
  38. Vecchio, F.J. (1990), "Reinforced concrete membrane element formulation", J. Struct. Eng., ASCE, 116(3), 730-750. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:3(730)
  39. Vecchio, F.J. and Collins, M.P. (1986), "Modified compression field theory for reinforced concrete elements subjected to shear", ACI J. Proceedings, 83(2), 219-231.
  40. Voo, J.Y.L. and Foster, S.J. (2003), Variable Engagement Model for Fibre Reinforced Concrete in Tension, UNICIV Report No. R-420 June 2003, University of New South Wales, Sydney, Australia, 1-86.
  41. 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
  42. Yang, T.Y. (1986), Finite Element Structural Analysis, Prentice-Hall, Englewood Cliffs, NJ, USA.

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