Browse > Article
http://dx.doi.org/10.12989/cac.2022.30.4.289

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)
Publication Information
Computers and Concrete / v.30, no.4, 2022 , pp. 289-299 More about this Journal
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
debonding; equivalent elastic modulus; four-point bending test; random cracking theory; reinforced concrete;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 ACI Committee 408 (2003), ACI 408R-03 Bond and Development of Straight Reinforcing Bars in Tension, America Concrete Institute, 1-49.
2 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.   DOI
3 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.   DOI
4 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.   DOI
5 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.   DOI
6 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.   DOI
7 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.
8 Vos, E. and Reinhardt, H.W. (1982), "Influence of loading rate On bond behaviour of reinforcing steel", Materiaux Constr., 15(85), 3-10.   DOI
9 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.   DOI
10 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.
11 Bauweraerts, P. (1998), Aspects of the Micromechanical Characterization of Fibre Reinforced Brittle Matrix Composites, Vrije Universiteit Brussel, Brussel.
12 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.
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.   DOI
14 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.   DOI
15 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.   DOI
16 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.   DOI
17 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.   DOI
18 Aveston, J., Mercer, R.A. and Sillwood, J.M. (1974), Composites-Standards Testing and Design, IPC Sci. Technol. Press.
19 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.   DOI
20 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.   DOI
21 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).   DOI
22 Gu, J., Wu, X., Cuypers, H. and Wastiels, J. (1998), Transactions on Engineering Sciences, Vol 21, WIT Press.
23 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.   DOI
24 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.   DOI
25 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.   DOI
26 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.
27 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).   DOI
28 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.   DOI
29 Saeed, M.N. (1979), "Internal measurement of bond stress slip relationship in reinforced concrete", ACI J, 76, 19.
30 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.   DOI
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.   DOI
32 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.   DOI
33 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.   DOI
34 Rao, G.A. (2014), "Parameters influencing bond strength of rebars in reinforced concrete", Int. J. Appl. Eng. Technol., 4(1), 2277-212.
35 Xin-zheng, L. and Jian-jing, J. (2004), "Studies on FRP-Concrete Interface", Tsinghua University.