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Dynamic bending behaviours of RC beams under monotonic loading with variable rates

  • Xiao, Shiyun (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Li, Jianbo (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Mo, Yi-Lung (Department of Civil and Environmental Engineering, University of Houston)
  • Received : 2016.09.27
  • Accepted : 2017.05.10
  • Published : 2017.09.25

Abstract

Dynamic behaviours of reinforced concrete (RC) bending beams subjected to monotonic loading with different loading rates were studied. A dynamic experiment was carried out with the electro-hydraulic servo system manufactured by MTS (Mechanical Testing and Simulation) Systems Corporation to study the effect of loading rates on the mechanical behaviours of RC beams. The monotonic displacement control loading, with loading rates of 0.1 mm/s, 0.5 mm/s, 1 mm/s, 5 mm/s and 10 mm/s, was imposed. According to the test results, the effects of loading rates on the failure model and load-displacement curve of RC beams were investigated. The influences of loading rates on the cracking, ultimate, yield and failure strengths and displacements, ductility and dissipated energy capability of RC beams were studied. Then, the three-dimensional finite element models of RC beams, with the rate-dependent DP (Drucker-Prager) model of concrete and three rate-dependent model of steel reinforcement, were described and verified using the experimental results. Finally, the dynamic mechanical behaviours and deformation behaviours of the numerical results were compared with those of the experimental results.

Keywords

Acknowledgement

Supported by : National Science Foundation of China

References

  1. Abbas, A.A., Pullen, A.D. and Cotsovos, D.M. (2010), "Structural response of RC wide beams under low-rate and impact loading", Mag. Concrete Res., 62(10), 723-740. https://doi.org/10.1680/macr.2010.62.10.723
  2. Adhikary, S.D., Li, B. and Fujikake, K. (2012), "Dynamic behavior of reinforced concrete beams under varying rates of concentrated loading", J. Imp. Eng., 47(4), 24-38. https://doi.org/10.1016/j.ijimpeng.2012.02.001
  3. Adhikary, S.D., Li, B. and Fujikake, K. (2014), "Effects of high loading rate on reinforced concrete beams", ACI Struct. J., 111(3), 651-660.
  4. Adhikary, S.D., Li, B. and Fujikake, K. (2013), "Strength and behavior in shear of reinforced concrete deep beams under dynamic loading conditions", Nucl. Eng. Des., 259(6), 14-28. https://doi.org/10.1016/j.nucengdes.2013.02.016
  5. Al-Haddad, M.S. (1995), "Curvature ductility of reinforced concrete beams under low and high strain rates", ACI Struct. J., 92(5), 526-534.
  6. Beshara, F.B.A. and Virdi, K.S. (1992), "Prediction of dynamic response of blast-loaded reinforced concrete structures", Comput. Struct., 44(1), 297-313. https://doi.org/10.1016/0045-7949(92)90249-Y
  7. Bischoff, P.H. and Perrry, S.H. (1991), "Compressive behaviour of concrete at high strain rates", Mater. Struct., 24, 425-450. https://doi.org/10.1007/BF02472016
  8. Cadoni, E., Labibes, K. and Albertini, C. (2001), "Strain-rate effect on the tensile behaviour of concrete at different relative humidity levels", Mater. Struct., 34(1), 21-26. https://doi.org/10.1007/BF02482196
  9. CEB 187 (1988), Concrete Structures under Impact and Impulsive Loading, Comite Euro-International du Beton, Lausanne, Switzerland.
  10. Cotsovos, D.M., Stathopoulos, N.D. and Zeris, C.A. (2008), "Behavior of RC beams subjected to high rates of concentrated loading", J. Structs Eng., 134(12), 1839-1851. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:12(1839)
  11. Domenico, A., Ezio, C. and Andrea, P. (2009), "Tensile high strain-rate behavior of reinforcing steel from an existing bridge", ACI Struct. J., 106(4), 523-529.
  12. Fang, Q., Liu, J.C., Zhang, Y.D. and Qian, Q.H. (2001), "Finite element analysis of failure modes of blast-loaded r/c beams", Eng. Mech., 18(2), 1-8.
  13. Fang, Q. and Qian, Q.H. (1997), "Discussion on the consideration of the rate sensitivity in design of protective structures", Expl. Shock Wave., 17(2), 104-110.
  14. Farag, H.M. and Leach, P. (1996), "Material modelling for transient dynamic analysis of reinforced concrete structures", J. Numer. Meth. Eng., 39(12), 2111-2129. https://doi.org/10.1002/(SICI)1097-0207(19960630)39:12<2111::AID-NME946>3.0.CO;2-3
  15. Fu, H.C., Erki, M.A. and Seckin, M. (1991), "Review of effects of loading rate on reinforced concrete", J. Struct. Eng., 117(12), 3660-3679. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:12(3660)
  16. Fujikake, K., Li, B. and Soeun, S. (2009), "Impact response of reinforced concrete beam and its analytical evaluation", ASCE J. Struct. Eng., 135(8), 938-950. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000039
  17. Fujikake, K., Senga, T., Ueda N., Ohno, T. and Katagiri, M. (2006b), "Study on impact response of reactive powder concrete beam and its analytical model", J. Adv. Concrete Technol., 4(1), 99-108. https://doi.org/10.3151/jact.4.99
  18. Fujikake, K., Senga, T., Ueda, N., Ohno, T. and Katagiri, M. (2006a), "Nonlinear analysis for reactive powder concrete beams under rapid flexural loadings", J. Adv. Concrete Technol., 4(1), 85-97. https://doi.org/10.3151/jact.4.85
  19. Fukuda, T., Sanuki, S., Miyakawa, M. and Fujikake, K. (2011), "Influence of loading rate on shear failure resistance of RC beams", Appl. Mech. Mater., 82, 229-234. https://doi.org/10.4028/www.scientific.net/AMM.82.229
  20. GB 50010-2010 (2011), Code for Design of Concrete Structures, Ministry of Housing and Urban-Rural Development, Beijing, China.
  21. Ghabossi, M.W.A. and Isenberg, J. (1984), "R/C structures under impulsive loading", J. Struct. Eng., 110(3), 505-522. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:3(505)
  22. Krauthammer, T., Bazeos, N. and Holmquist, T.J. (1986), "Modified SDOF analysis of RC box-type structures", J. Struct. Eng., 112(4), 726-744. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:4(726)
  23. Krauthammer, T. (1984), "Shallow-buried RC box-type structures", J. Struct. Eng., 110(3), 637-651. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:3(637)
  24. Kulkarni, S.M. and Shah, S.P. (1998), "Response of reinforced concrete beams at high strain rates", ACI Struct. J., 95(6), 705-715.
  25. Kunnath, S.K. and Reinhorn, A.M. (1990), "Model for inelastic biaxial bending interaction of reinforced concrete beamcolumns", ACI Struct. J., 87(3), 284-291.
  26. Li, H.N. and Li, M. (2013), "Experimental and numerical study on dynamic properties of RC beam", Mag. Concrete Res., 65(12), 744-756. https://doi.org/10.1680/macr.12.00198
  27. Li, M. and Li, H.N. (2010), "Dynamic test and constitutive model for reinforcing steel", Chin. Civil Eng. J., 43(4), 70-75.
  28. Malvar, L.J. (1998), "Review of static and dynamic properties of steel reinforcing bars", ACI Mater. J., 95(5), 609-616.
  29. Nurnbergerova, T., Krizma, M. and Hajek, J. (2001), "Theoretical model of the determination of the deformation rates of RC beams", Constr. Build. Mater., 15(4), 169-176. https://doi.org/10.1016/S0950-0618(01)00005-8
  30. Oh, B.H. (1987), "Behaviour of concrete under dynamic tensile loads", ACI Mater. J., 84(1), 8-13.
  31. Pandey, A.K. (2011), "An iterative approach for curvature ductility of RC beams at high strain rates", J. Struct. Eng., 38(4), 307-317.
  32. Pandey, A.K. (2013), "Flexural ductility of RC beam sections at high strain rates", Comput. Concrete, 12(4), 537-552. https://doi.org/10.12989/cac.2013.12.4.537
  33. Rossi, P. and Toutlemonde, F. (1996), "Effect of loading rate on the tensile behaviour of concrete: Description of the physical mechanisms", Mater. Struct., 29(2), 116-118. https://doi.org/10.1007/BF02486201
  34. Rossi, P., Van, M. and Jan, G.M. (1994), "Effect of loading rate on the strength of concrete subjected to uniaxial tension", Mater. Struct., 27(5), 260-264. https://doi.org/10.1007/BF02473042
  35. Sziveri, J., Topping, B.H.V. and Ivanyi, P. (1999), "Parallel transient dynamic non-linear analysis of reinforced concrete plates", Adv. Eng. Softw., 30(9-11), 867-882. https://doi.org/10.1016/S0965-9978(98)00102-1
  36. Tedesco, J.W., Ross, C.A., McGill, P.B. and O'Neil, B.P. (1991), "Numerical analysis of high strain-rate concrete direct tension tests", Comput. Struct., 40(2), 313-327. https://doi.org/10.1016/0045-7949(91)90357-R
  37. Valipour, H.R., Huynh, L. and Foster, S.J. (2009), "Analysis of RC beams subjected to shock loading using a modified fibre element formulation", Comput. Concrete, 6(5), 377-390. https://doi.org/10.12989/cac.2009.6.5.377
  38. Wang, L.H., Zhou, X.Y., Yan, W.M. and Yu, M. (2006), "Test study on the nonlinear dynamic characteristics of reinforced concrete beams", J. Seismol. Res., 29(1), 65-71.
  39. Xiao, S.Y., Li, H.N. and Lin, G. (2008), "Dynamic behaviour and constitutive model of concrete at different strain rates", Mag. Concrete Res., 60(4), 271-278. https://doi.org/10.1680/macr.2008.60.4.271
  40. Zielinski, A.J., Reinhardt, H.W. and Kormeling, H.A. (1981), "Experiments on concrete under uniaxial impact tensile loading", Mater. Struct., 14(2), 103-112.