DOI QR코드

DOI QR Code

Modelling dowel action of discrete reinforcing bars for finite element analysis of concrete structures

  • Kwan, A.K.H. (Department of Civil Engineering, The University of Hong Kong) ;
  • Ng, P.L. (Department of Civil Engineering, The University of Hong Kong)
  • Received : 2011.08.15
  • Accepted : 2012.04.16
  • Published : 2013.07.01

Abstract

In the finite element analysis of reinforced concrete structures, discrete representation of the steel reinforcing bars is considered advantageous over smeared representation because of the more realistic modelling of their bond-slip behaviour. However, there is up to now limited research on how to simulate the dowel action of discrete reinforcing bars, which is an important component of shear transfer in cracked concrete structures. Herein, a numerical model for the dowel action of discrete reinforcing bars is developed. It features derivation of the dowel stiffness based on the beam-on-elastic-foundation theory and direct assemblage of the dowel stiffness matrix into the stiffness matrices of adjoining concrete elements. The dowel action model is incorporated in a nonlinear finite element program based on secant stiffness formulation and application to deep beams tested by others demonstrates that the incorporation of dowel action can improve the accuracy of the finite element analysis.

Keywords

References

  1. ASCE Task Committee on Finite Element Analysis of Reinforced Concrete Structures (1982), "State-of-the-Art Report on Finite Element Analysis of Reinforced Concrete Structures", ASCE, New York, USA.
  2. Bresler, B. and Scordelis, A.C. (1963), "Shear strength of reinforced concrete beams", ACI J., 60(1), 51-74.
  3. Comite Euro-International du Beton (1993), CEB-FIP Model Code 1990: Model Code for Concrete Structures, Thomas Telford, London, UK.
  4. Dei Poli, S., Di Prisco, M. and Gambarova, P.G. (1992), "Shear response, deformations, and subgrade stiffness of a dowel bar embedded in concrete", ACI S. J., 89(6), 665-675.
  5. Dei Poli, S., Di Prisco, M. and Gambarova, P.G. (1993), "Cover and stirrup effects on the shear response of dowel bar embedded in concrete", ACI S. J., 90(4), 441-450.
  6. Dulacska, H. (1972), "Dowel action of reinforcement crossing cracks in concrete", ACI J., 69(12), 754-757.
  7. El-Ariss, B. (2007), "Behavior of beams with dowel action", Eng. Struct., 29(6), 899-903. https://doi.org/10.1016/j.engstruct.2006.07.008
  8. Essenburg, F. (1962), "Shear deformation in beams on elastic foundations", J. Appl. Mech., ASME, 29, 313-317. https://doi.org/10.1115/1.3640547
  9. Goodman, R.E., Taylor, R.L. and Brekke, T.L. (1968), "A model for the mechanics of jointed rock", J. Soil Mech. Found. Division, ASCE, 94(3), 637-659.
  10. Guo, Z.H. and Zhang, X.Q. (1987), "Investigation of complete stress-deformation curves for concrete in tension", ACI Mater. J., 84(4), 278-285.
  11. Hassan Dirar, S.M.O. and Morley, C.T. (2005), "Nonlinear finite element analysis of reinforced concrete deep beams", (Eds. Onate, E. and Owen, D.R.J.), Proceedings of the 8th International Conference on Computational Plasticity, Barcelona, Spain.
  12. He, X.G. (1999), "Constitutive modeling of reinforced concrete for nonlinear finite element analysis", Ph.D. Thesis, The University of Hong Kong, Hong Kong.
  13. He, X.G. and Kwan, A.K.H. (2001), "Modeling dowel action of reinforcement bars for finite element analysis of concrete structures", Comput. Struct., 79(6), 595-604. https://doi.org/10.1016/S0045-7949(00)00158-9
  14. Hetenyi, M.I. (1958), Beams on Elastic Foundation: Theory with Applications in the Fields of Civil and Mechanical Engineering, The University of Michigan Press, Ann Arbor, USA.
  15. Hwang, S.J., Lu, W.Y. and Lee, H.J. (2000), "Shear strength prediction for deep beams", ACI Struct. J., 97(3), 367-376.
  16. Jimenez, R., White, R.N. and Gergely, P. (1979), "Bond and dowel capacities of reinforced concrete", ACI J., 76(1), 73-92.
  17. Kazaz, I. (2011), "Finite element analysis of shear-critical reinforced concrete walls", Comput. Concrete, 8(2), 143-162. https://doi.org/10.12989/cac.2011.8.2.143
  18. Krefeld, W.J. and Thurston, C.W. (1966), "Contribution of longitudinal steel to shear resistance of reinforced concrete beams", ACI J., 63(3), 325-344.
  19. Kupfer, H.B. and Gerstle, K.H. (1973), "Behavior of concrete under biaxial stresses", J. Eng. Mech. Division, ASCE, 99(4), 853-866.
  20. Kwak, H.G. and Kim, D.Y. (2004), "FE analysis of RC shear wall subject to monotonic loading", Mag. Concrete Res., 56(7), 387-403. https://doi.org/10.1680/macr.2004.56.7.387
  21. Mander, J.B. (1984), "Seismic Design of Bridge Piers", Ph.D. Thesis, University of Canterbury, New Zealand.
  22. Mannava, S.S., Bush, T.D. and Kukreti, A.R. (1999), "Load-deflection behavior of smooth dowels", ACI Struct. J., 96(6), 891-898.
  23. Millard, S.G. and Johnson, R.P. (1984), "Shear transfer across cracks in reinforced concrete due to aggregate interlock and dowel action", Mag. Concrete Res., 36(126), 9-21. https://doi.org/10.1680/macr.1984.36.126.9
  24. Ng, P.L. (2007), "Constitutive modelling and finite element analysis of reinforced concrete structures", Ph.D. Thesis, The University of Hong Kong, Hong Kong.
  25. Oliveira, R.S., Ramalho, M.A. and Correa, M.R.S. (2008), "A layered finite element for reinforced concrete beams with bond-slip effects", Cement Concrete Compos., 30(3), 245-252. https://doi.org/10.1016/j.cemconcomp.2007.09.007
  26. Park, R. and Paulay, T. (1975), Reinforced Concrete Structures, John Wiley & Sons, New York, USA.
  27. Pimentel, M., Cachim, P. and Figueiras, J. (2008), "Deep-beams with indirect supports: numerical modelling and experimental assessment", Comput. Concrete, 5(2), 117-134. https://doi.org/10.12989/cac.2008.5.2.117
  28. Pruijssers, A.F. (1988), "Aggregate interlock and dowel action under monotonic and cyclic loading", Ph.D. Thesis, Delft University of Technology, Netherland.
  29. Russo, G., Venir, R. and Pauletta, M. (2005), "Reinforced concrete deep beams-shear strength model and design formula", ACI Struct. J., 102(3), 429-437.
  30. Saenz, L.P. (1964), "Discussion of the paper 'Equation for the stress-strain curve of concrete' by Prakash Desayi and S. Krishman", ACI J., 61(9), 1229-1235.
  31. Smith, K.N. and Vantsiotis, A.S. (1982), "Shear strength of deep beams", ACI J., 79(3), 201-213.
  32. Soroushian, P., Obaseki, K., Baiyasi, M.I., El-Sweidan, B. and Choi, K.B. (1988), "Inelastic cyclic behavior of dowel bars", ACI Struct. J., 85(1), 23-29.
  33. Soroushian, P., Obaseki, K., Rojas, M.C. and Najm, H.S. (1987), "Behavior of bars in dowel action against concrete cover", ACI Struct. J., 84(2), 170-176.
  34. Soroushian, P., Obaseki, K., Rojas, M.C. and Sim, J.S. (1986), "Analysis of dowel bars acting against concrete core", ACI J., 83(4), 642-649.
  35. Vintzeleou, E.N. and Tassios, T.P. (1986), "Mathematical models for dowel action under monotonic and cyclic conditions", Mag. Concrete Res., 38(134), 13-22. https://doi.org/10.1680/macr.1986.38.134.13
  36. Vintzeleou, E.N. and Tassios, T.P. (1987), "Behavior of dowels under cyclic deformations", ACI Struct. J., 84(1), 18-30.
  37. Walraven, J.C. (1980), "Aggregate interlock: a theoretical and experimental analysis", Ph.D. Thesis, Delft University of Technology, Netherlands.
  38. Xie, Y.L., Ahmad, S.H., Yu, T.J., Hino, S. and Chung, W. (1994), "Shear ductility of reinforced concrete beams of normal and high-strength concrete", ACI Struct. J., 91(2), 140-149.
  39. Yu, R.C., Saucedo, L. and Ruiz, G. (2011), "Finite-element study of the diagonal-tension failure in reinforced concrete beams", Int. J. Fracture, 169(2), 169-182. https://doi.org/10.1007/s10704-011-9592-z
  40. Zhao, Z.Z., Kwan, A.K.H. and He, X.G. (2004), "Nonlinear finite element analysis of deep reinforced concrete coupling beams", Eng. Strcut., 26(1), 13-25. https://doi.org/10.1016/j.engstruct.2003.08.014

Cited by

  1. Finite element analysis of concrete shrinkage cracks 2017, https://doi.org/10.1177/1369433217746346
  2. Two-dimensional early thermal crack analysis of concrete structures by finite element method vol.143, 2017, https://doi.org/10.1016/j.engstruct.2017.04.005
  3. Crack width analysis of reinforced concrete members under flexure by finite element method and crack queuing algorithm vol.105, 2015, https://doi.org/10.1016/j.engstruct.2015.10.012
  4. Investigation of load transfer along interfaces of jacketed square columns vol.63, pp.3, 2013, https://doi.org/10.12989/sem.2017.63.3.293
  5. Winkler spring behavior in FE analyses of dowel action in statically loaded RC cracks vol.21, pp.5, 2013, https://doi.org/10.12989/cac.2018.21.5.593
  6. Tension stiffening approach for deformation assessment of flexural reinforced concrete members under compressive axial load vol.20, pp.6, 2013, https://doi.org/10.1002/suco.201800286
  7. Constitutive Model for Aggregate Interlock in FEM Analyses of Concrete Interfaces with Embedded Steel Bars vol.14, pp.1, 2013, https://doi.org/10.1186/s40069-019-0390-8
  8. Experimental Validation of Finite Element Models for Reinforced Concrete Beams with Discontinuities That Form Dowel-Type Joints vol.4, pp.3, 2013, https://doi.org/10.3390/vibration4030032