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Tensile damage of reinforced concrete and simulation of the four-point bending test based on the random cracking theory

  • Chang, Yan-jun (College of Civil and Architectural Engineering, Guangxi University) ;
  • Wan, Li-yun (College of Civil and Architectural Engineering, Guangxi University) ;
  • Mo, De-kai (College of Civil and Architectural Engineering, Guangxi University) ;
  • Hu, Dan (College of Civil and Architectural Engineering, Guangxi University) ;
  • Li, Shuang-bei (College of Civil and Architectural Engineering, Guangxi University)
  • Received : 2021.03.02
  • Accepted : 2022.08.27
  • Published : 2022.10.25

Abstract

Based on the random cracking theory, the cylinder RVE model of reinforced concrete is established and the damage process is divided into three stages as the evolution of the cracks. The stress distribution along longitude direction of the concrete and the steel bar in the cylinder model are derived. The equivalent elastic modulus of the RVE are derived and the user-defined field variable subroutine (USDFLD) for the equivalent elastic modulus is well integrated into the ABAQUS. Regarding the tensile rebars and the concrete surrounding the rebars as the equivalent homogeneous transversely isotropic material, and the FEM analysis for the reinforced concrete beams is conducted with the USDFLD subroutine. Considering the concrete cracking and interfacial debonding, the macroscopic damage process of the reinforced concrete beam under four-point bending loading in the simulation. The volume fraction of rebar and the cracking degree are mainly discussed to reveal their influence on the macro-performance and they are calibrated with experimental results. Comparing with the bending experiment performed with 8 reinforced concrete beams, the bending stiffness of the second stage and the ultimate load simulated are in good agreement with the experimental values, which verifies the effectiveness and the accuracy of the improved finite element method for reinforced concrete beam.

Keywords

Acknowledgement

This project is supported by the National Natural Science Foundation of China (Grant Nos. 11962001, 51738004, 51768004, 51878186), the Science and Technology Major Project of Guangxi (AA18118055) and the Interdisciplinary Scientific Research Foundation of Guangxi University (Grant No. 2022JCA003).

References

  1. ACI Committee 408 (2003), ACI 408R-03 Bond and Development of Straight Reinforcing Bars in Tension, America Concrete Institute, 1-49.
  2. Ahmad, S., Pilakoutas, K., Rafi, M.M. and Zaman, Q.U. (2018), "Bond strength prediction of steel bars in low strength concrete by using ANN", Comput. Concrete, 22(2), 249-259. https://doi.org/10.12989/cac.2018.22.2.249.
  3. Al-Osta, M.A., Al-Sakkaf, H.A., Sharif, A.M., Ahmad, S. and Baluch, M.H. (2018), "Finite element modeling of corroded RC beams using cohesive surface bonding approach", Comput. Concrete, 22(2), 167-182. https://doi.org/10.12989/cac.2018.22.2.167.
  4. Avenston, J., Cooper, G.A. and Kelly, A. (1971), "Single and multiple fracture in the properties of fiber-composites", Proceedings of the National Physical Laboratory, 15-26.
  5. Aveston, J. and Kelly, A. (1973), "Theory of multiple fracture of fibrous composites", J. Mater. Sci., 8(3), 352-362. https://doi.org/10.1007/BF00550155.
  6. Aveston, J., Mercer, R.A. and Sillwood, J.M. (1974), Composites-Standards Testing and Design, IPC Sci. Technol. Press.
  7. Bauweraerts, P. (1998), Aspects of the Micromechanical Characterization of Fibre Reinforced Brittle Matrix Composites, Vrije Universiteit Brussel, Brussel.
  8. Cairns, J. (2015), "Bond and anchorage of embedded steel reinforcement in fib Model Code 2010", Struct. Concrete, 16(1), 45-55. https://doi.org/10.1002/suco.201400043.
  9. Choi, C.K. and Cheung, S.H. (1996), "Tension stiffening model for planar reinforced", Comput. Struct., 59(1), 179-190. https://doi.org/10.1016/0045-7949(95)00146-8.
  10. Cuypers, H. and Wastiels, J. (2002). "Application of a stochastic matrix cracking theory on E-glass fibre reinforced cementitious composites", Proceedings of the 10th European Conference on Composite Materials ECCM10, Paper 305, 10.
  11. de Almeida Filho, F.M., El Debs, M.K. and El Debs, A.L.H. (2008), "Bond-slip behavior of self-compacting concrete and vibrated concrete using pull-out and beam tests", Mater. Struct. Constr., 41(6), 1073-1089. https://doi.org/10.1617/s11527-007-9307-0.
  12. Fleury, F., Reynouard, J.M. and Merabet, O. (2000), "Multicomponent model of reinforced concrete joints for cyclic loading", J. Eng. Mech., 126(8), 804-811. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:8(804).
  13. Gao, W.Y., Dai, J.G., Teng, J.G. and Chen, G.M. (2013), "Finite element modeling of reinforced concrete beams exposed to fire", Eng. Struct., 52, 488-501. https://doi.org/10.1016/j.engstruct.2013.03.017.
  14. Gu, J., Wu, X., Cuypers, H. and Wastiels, J. (1998), Transactions on Engineering Sciences, Vol 21, WIT Press.
  15. Hillerborg, A., Modeer, M. and Petersson, P.E. (1976), "Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements", Cement Concrete Res., 6(6), 773-781. https://doi.org/10.1016/0008-8846(76)90007-7.
  16. Hong, S. and Park, S.K. (2012), "Uniaxial bond stress-slip relationship of reinforcing bars in concrete", Adv. Mater. Sci. Eng., 2012, Article ID 328570. https://doi.org/10.1155/2012/328570.
  17. Kim, J. and LaFave, J.M. (2007), "Key influence parameters for the joint shear behaviour of reinforced concrete (RC) beamcolumn connections", Eng. Struct., 29(10), 2523-2539. https://doi.org/10.1016/j.engstruct.2006.12.012.
  18. Koutromanos, I. and Shing, P.B. (2012), "Cohesive crack model to simulate cyclic response of concrete and masonry structures", ACI Struct. J., 109(3), 349-358. https://doi.org/10.14359/51683748.
  19. Li, S.H., Li, Z., Mura, T. and Shah, S.P. (1992), "Multiple fracture of fiber-reinforced brittle matrix composites based on micromechanics", Eng. Fract. Mech., 43(4), 561-579. https://doi.org/10.1016/0013-7944(92)90199-O.
  20. Lindorf, A. and Curbach, M. (2011), "Slip behaviour at cyclic pullout tests under transverse tension", Constr. Build. Mater., 25(8), 3617-3624. https://doi.org/10.1016/j.conbuildmat.2011.03.057.
  21. Lundgren, K. (2000), "Pull-out tests of steel-encased specimens subjected to reversed cyclic loading", Mater. Struct., 33(7), 450-456. https://doi.org/10.1007/BF02480665.
  22. Mazzarolo, E., Scotta, R., Berto, L. and Saetta, A. (2012), "Long anchorage bond-slip formulation for modeling of R.C. elements and joints", Eng. Struct., 34, 330-341. https://doi.org/10.1016/j.engstruct.2011.09.005.
  23. Mendes, L.A.M. and Castro, L.M.S.S. (2013), "A new RC bond model suitable for three-dimensional cyclic analyses", Comput. Struct., 120, 47-64. https://doi.org/10.1016/j.compstruc.2013.01.007.
  24. Morris, G.J. (2015), "Experimental evaluation of local bond behaviour of deformed reinforcing bars in concrete structures", Master Eng. Thesis, Univ. Canterbury, Christchurch, New Zealand.
  25. Murcia-Delso, J., Stavridis, A. and Shing, P.B. (2013), "Bond strength and cyclic bond deterioration of large-diameter bars", ACI Struct. J., 110(4), 659-669. https://doi.org/10.14359/51685751.
  26. Namur, G.G., Alwan, J.M. and Najm, H.S. (1992), "Fiber pullout and bond slip. I: Analytical study", J. Struct. Eng., 117(9), 2769-2790. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:9(2769).
  27. Purnell, P., Buchanan, A.J., Short, N.R., Page, C.L. and Majumdar, A.J. (2000), "Determination of bond strength in glass fibre reinforced cement using petrography and image analysis", J. Mater. Sci., 35(18), 4653-4659. https://doi.org/10.1023/A:1004882419034.
  28. Rao, G.A. (2014), "Parameters influencing bond strength of rebars in reinforced concrete", Int. J. Appl. Eng. Technol., 4(1), 2277-212.
  29. Saeed, M.N. (1979), "Internal measurement of bond stress slip relationship in reinforced concrete", ACI J, 76, 19.
  30. Shima, H., Chou, L.L. and Okamura, H. (1987), "Micro and macro models for bond in reinforced concrete", J. Facult. Eng., Univ. Tokyo, Ser. B, 39(2), 133-194.
  31. Tang, C.W. (2015), "Local bond stress-slip behavior of reinforcing bars embedded in lightweight aggregate concrete", Comput. Concrete, 16(3), 449-466. https://doi.org/10.12989/cac.2015.16.3.449.
  32. Vos, E. and Reinhardt, H.W. (1982), "Influence of loading rate On bond behaviour of reinforcing steel", Materiaux Constr., 15(85), 3-10. https://doi.org/10.1007/BF02473553
  33. Widom, B. (1965), "Random sequential addition of hard spheres to a volume", J. Chem. Phys., 44(10), 3888-3894. https://doi.org/10.1063/1.1726548.
  34. Xin-zheng, L. and Jian-jing, J. (2004), "Studies on FRP-Concrete Interface", Tsinghua University.
  35. Zhao, L., Zhang, W., Bai, X., Yan, T. and Li, T. (2015), "Single spring joint element based on the mixed coordinate system", Math. Probl. Eng., 2015, Article ID 979678 https://doi.org/10.1155/2015/979678.