Computers and Concrete

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A modified RBSM for simulating the failure process of RC structures

  • Zhao, Chao (School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing)) ;
  • Zhong, Xingu (School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing)) ;
  • Liu, Bo (School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing)) ;
  • Shu, Xiaojuan (School of Civil Engineering, Hunan University of Science and Technology) ;
  • Shen, Mingyan (School of Civil Engineering, Hunan University of Science and Technology)
  • Received : 2017.04.22
  • Accepted : 2017.12.23
  • Published : 2018.02.25
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Abstract

In this paper, a modified rigid body spring model (RBSM) is proposed and used to analyze the damage and failure process of reinforced concrete (RC) structures. In the proposed model, the concrete is represented by an assembly of rigid blocks connected with a uniform distribution of normal and tangential springs to simulate the macroscopic mechanical behavior of concrete. Steel bars are evenly dispersed into rigid blocks as a kind of homogeneous axial material, and an additional uniform distribution of axial and dowel springs is defined to consider the axial stiffness and dowel action of steel bars. Perfect bond between the concrete and steel bars is assumed, and tension stiffening effect of steel bars is modeled by adjusting the constitutive relationship for the tensile reinforcement. Adjacent blocks are allowed to separate at the contact interface, which makes it convenient and easy to simulate the cracking process of concrete. The failure of the springs is determined by the Mohr-Coulomb type criterion with the tension and compression caps. The effectiveness of the proposed method is confirmed by elastic analyses of a cantilever beam under different loading conditions and failure analyses of a RC beam under two-point loading.

Keywords

Acknowledgement

Supported by : Natural Science Foundation of China

References

  1. Aoyagi, Y. and Yamada, K. (1983), "Strength and deformation characteristics of reinforced concrete shell elements subjected to in-plane forces", Proc. JPN Soc. Civil Eng., 331, 167-180.
  2. Barzegar, F. and Maddipudi, S. (1997), "Three-dimensional modeling of concrete structures. II: reinforced concrete", J. Struct. Eng., ASCE, 123(10), 1347-1356. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:10(1347)
  3. Belytschko, T. and Black, T. (1999), "Elastic crack growth in finite elements with minimal remeshing", Int. J. Numer. Meth. Eng., 45(5), 601-620. https://doi.org/10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S
  4. Belytschko, T., Krongauz, Y., Fleming, M., Organ, D. and Liu, W.K.S. (1996), "Smoothing and accelerated computations in the element free Galerkin method", J. Comput. Appl. Math., 74(1-2), 111-126. https://doi.org/10.1016/0377-0427(96)00020-9
  5. Bernardi, P., Cerioni, R., Michelini, E. and Sirico, A. (2015), "Numerical modeling of the cracking behaviour of RC and SFRC shear-critical beams", Eng. Fract. Mech., 167, 151-166.
  6. Burns, S.J. and Hanley, K.J. (2017), "Establishing stable timesteps for DEM simulations of non-collinear planar collisions with linear contact laws", Int. J. Numer. Meth. Eng., 110, 186-200. https://doi.org/10.1002/nme.5361
  7. Carter, B.J., Wawrzynek, P.A. and Ingraffea, A.R. (2000), "Automated 3-D crack growth simulation", Int. J. Numer. Meth. Eng., 47(1), 229-253. https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<229::AID-NME769>3.0.CO;2-2
  8. Cong, Y., Kong, L., Zheng, Y.R., Erdi, A.B. and Wang, Z.Q. (2015), "Experimental study on shear strength of concrete", Concrete, 5, 40-45.
  9. Guo, N. and Zhao, J.D. (2014), "A coupled FEM/DEM approach for hierarchical multiscale modelling of franular media", Int. J. Numer. Meth. Eng., 99(11), 789-818. https://doi.org/10.1002/nme.4702
  10. Jankowiak, T. and Lodygowski, T. (2005), "Identification of parameters of concrete damage plasticity constitutive model", Found. Civil Environ. Eng., 6, 53-69.
  11. Jin, C., Soltani, M. and An, X.H. (2005), "Experimental and numerical study of cracking behaviour of openings in concrete dams", Comput. Struct., 83(8), 525-535. https://doi.org/10.1016/j.compstruc.2004.11.002
  12. Kawai, T. (1977). "New element models in discrete structural analysis", J. Soc. Naval Arch. JPN, 141(2), 187-193.
  13. Li, M.G., Yu, H.T., Wang, J.H. and Chen, J.J. (2015), "A multiscale coupling approach between discrete element method and finite difference method for dynamic analysis", Int. J. Numer. Meth. Eng., 102(1), 1-21. https://doi.org/10.1002/nme.4771
  14. Long, X. and Lee, C.K. (2015) "Modelling of two dimensional reinforced concrete beam-column joints under monotonic loading", Adv. Struct. Eng., 18(9), 1461-1474. https://doi.org/10.1260/1369-4332.18.9.1461
  15. Long, X. and Lee, C.K. (2015), "Improved strut-and-tie method for 2D RC beam-column joints under monotonic loading", Comput. Concrete, 15(5), 807-831. https://doi.org/10.12989/cac.2015.15.5.807
  16. Long, X., Bao, J.Q., Tan, K.H. and Lee, C.K. (2014) "Numerical simulation of reinforced concrete beam/column failure considering normal-shear stress interaction", Eng. Struct., 74, 32-43. https://doi.org/10.1016/j.engstruct.2014.05.011
  17. Long, X., Tan, K.H. and Lee, C.K. (2013), "A 3D co-rotational beam element for steel and RC framed structures", Struct. Eng. Mech., 48(5), 587-613. https://doi.org/10.12989/sem.2013.48.5.587
  18. Long, X., Tan, K.H. and Lee, C.K. (2014) "Bond stress-slip prediction under pullout and dowel action in reinforced concrete joints", ACI Struct. J., 111(4), 977-988.
  19. Long, Y.C., Zhou, Y.D. and Zhang, C.H. (2007), "Reinforcement stiffening model for reinforced concrete interaction effects", J. Tsinghua Univ. (Sci. & Tech.), 47(6), 793-796.
  20. Ottosen, N.S. (1980), "Constitutive model for short-time loading of concrete", J. Eng. Mech. Div., 105(1), 127-141.
  21. Ozcan, D.M., Bayraktar, A., Sahin, A., Haktanir, T. and Turker, T. (2009), "Experimental and finite element analysis on the steel fiber-reinforced concrete (SFRC) beams ultimate behaviour", Constr. Build. Mater., 23, 1064-1077 https://doi.org/10.1016/j.conbuildmat.2008.05.010
  22. Saito, S. and Hikosaka, H. (1999), "Numerical analyses of reinforced concrete structures using spring network models", J. Mater. Concrete Struct., Pavem., JSCE, 44(627), 289-303.
  23. Shi G.H. (1988), "Discontinuous deformation analysis: a new numerical model for the statics and dynamics of block systems", Ph.D. Dissertation, University of California at Berkeley, Berkeley.
  24. Shi G.H. (1994), "Modeling dynamic rock failure by discontinuous deformation analysis with simplex integrations", Proceedings of the 1st North American Rock Mechanics Symposium, Austin, Texas, July.
  25. Sirico, A., Michelini, E., Bernardi, P. and Cerioni, R. (2017), "Simulation of the response of shrunk reinforced concrete elements subjected to short-term loading: a bi-dimensional numerical approach", Eng. Fract. Mech., 174, 64-79. https://doi.org/10.1016/j.engfracmech.2016.11.020
  26. Soroushian, P., Obaseki, K. and Rojas, M.C. (1987), "Bearing strength and stiffness of concrete under reinforcing bars", ACI Mater. J., 84(3), 179-184.
  27. Tang, G.B. and Xiang, Y.Q. (2015), "Mechanical properties and numerical simulation of crack interface in reinforced concrete", Shuilixuebao, 46, 42-50.
  28. Vecchio, F.J. and Shim, W. (2004), "Experimental and analytical re-examination of classic concrete beams", J. Struct. Eng., ASCE, 130(3), 460-469. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:3(460)
  29. Vecchio, F.J., Bentz, E.C. and Collins, M.P. (2004), "Tools for forensic analysis of concrete structures", Comput. Concrete, 1(1), 1-14. https://doi.org/10.12989/cac.2004.1.1.001
  30. Wang, Y.F. and Zhang, Q. (2009), "Analysis of anti-sliding stability in deep foundation of Xiangjiaba gravity dam based on interface element method", Rock Soil Mech., 30(9), 2691-2696.
  31. Yao, C., Shao, J.F., Jiang, Q.H. and Zhou, C.B. (2016), "Numerical study of excavation induced fractures using an extended rigid block spring method", Comput. Geotech., 85, 368-383.
  32. Zhang, Q., Wang, Z.Q. and Xia, X.Z. (2012), "Interface stress element method and its application in analysis of anti-sliding stability of gravity dam", Sci. China Technol. Sci., 55(12), 3285-3291. https://doi.org/10.1007/s11431-012-5059-3

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