DOI QR코드

DOI QR Code

Finite element modelling of GFRP reinforced concrete beams

  • Stoner, Joseph G. (WSP Canada) ;
  • Polak, Maria Anna (Department of Civil and Environmental Engineering, University of Waterloo)
  • 투고 : 2019.11.08
  • 심사 : 2020.03.22
  • 발행 : 2020.04.25

초록

This paper presents a discussion of the Finite Element Analysis (FEA) when applied for the analysis of concrete elements reinforced with glass fibre reinforced polymer (GFRP) bars. The purpose of such nonlinear FEA model development is to create a tool that can be used for numerical parametric studies which can be used to extend the existing (and limited) experiment database. The presented research focuses on the numerical analyses of concrete beams reinforced with GFRP longitudinal and shear reinforcements. FEA of concrete members reinforced with linear elastic brittle reinforcements (like GFRP) presents unique challenges when compared to the analysis of members reinforced with plastic (steel) reinforcements, which are discussed in the paper. Specifically, the behaviour and failure of GFRP reinforced members are strongly influenced by the compressive response of concrete and thus modelling of concrete behaviour is essential for proper analysis. FEA was performed using the commercial software ABAQUS. A damaged-plasticity model was utilized to simulate the concrete behaviour. The influence of tension, compression, dilatancy, mesh, and reinforcement modelling was studied to replicate experimental test data of beams previously tested at the University of Waterloo, Canada. Recommendations for the finite element modelling of beams reinforced with GFRP longitudinal and shear reinforcements are offered. The knowledge gained from this research allows for the development of a rational methodology for modelling GFRP reinforced concrete beams, which subsequently can be used for extensive parametric studies and the formation of informed recommendations to design standards.

키워드

과제정보

The authors would like to thank the Ontario Centres of Excellence, Natural Sciences and Engineering Research Council of Canada, and Schoeck Canada for their financial contributions to this research.

참고문헌

  1. Adam, M.A., Said, M., Mahmoud, A.A. and Shanour, A.S. (2015), "Analytical and experimental flexural behavior of concrete beams reinforced with glass fiber reinforced polymers bars", Constr. Build. Mater., 84, 354-366. https://doi.org/10.1016/j.conbuildmat.2015.03.057.
  2. Arafa, A., Farghaly, A.S. and Benmokrane, B., (2019), "Nonlinear finite-element analysis for predicting the behavior of concrete squat walls reinforced with GFRP bars", J. Struct. Eng., ASCE, 145(10), 04019107. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002399.
  3. Canadian Standards Association (CSA). (2012), Design and Construction of Building Structures with Fibre-Reinforced Polymers, CAN/CSA S806-12, Mississauga, Ontario.
  4. CEB-FIP (1993), Model Code 1990 (MC 90), Design Code, Thomas Telford, London.
  5. Cornelissen, H., Hordijk, D. and Reinhardt, H. (1986), "Experimental determination of crack softening characteristics of normal weight and lightweight concrete", Heron, 32(2), 45-56.
  6. Dassault Systems Simulia Corp. (DSS) (2012), ABAQUS Analysis User's Manual 6.12, Providence, RI, USA.
  7. Ferreira, A.J.M., Camanho, P.P., Marques, A.T. and Fernandes, A.A. (2001), "Modelling of concrete beams reinforced with FRP re-bars", Compos. Struct., 53(1), 101-116. https://doi.org/10.1016/S0263-8223(00)00182-3.
  8. Genikomsou, A. and Polak, M.A. (2015), "Finite element analysis of punching shear of concrete slabs using damaged plasticity model in Abaqus", Eng. Struct., 98(4), 38-48. https://doi.org/10.1016/j.engstruct.2015.04.016.
  9. Hillerborg, A., Modeer, M. and Petersson, P. (1976), "Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements", Cement Concrete Res., 6(6), 773-782. https://doi.org/10.1016/0008-8846(76)90007-7.
  10. International Federation for Structural Concrete (2008), Constitutive Modelling of High Strength/High Performance Concrete - Bulletin 42, Lausanne, Switzerland.
  11. International Federation for Structural Concrete (2010), Model Code 2010. First Complete Draft, Version 1, Lausanne, Switzerland.
  12. International Federation for Structural Concrete (2013), Code-Type Models for Structural Behaviour of Concrete, Lausanne, Switzerland.
  13. Jankowiak, T. and Lodygowski, T. (2005), "Identification of parameters of concrete damage plasticity constitutive model". Found. Civil Environ. Eng., 6(1), 53-69.
  14. Jumaaa, G.B. and Yousif, A.R. (2019), "Numerical modeling of size effect in shear strength of FRP-reinforced concrete beams", Struct., 20, 237-254. https://doi.org/10.1016/j.istruc.2019.04.008.
  15. Kaya, M. and Yaman, C. (2018), "Modelling the reinforced concrete beams strengthened with GFRP against shear crack", Comput. Concrete, 21(2), 127-137. https://doi.org/10.12989/cac.2018.21.2.127.
  16. Krall, M. (2014), "Tests on concrete beams with GFRP flexural and shear reinforcements & analysis method for indeterminate strut-and-tie models with brittle reinforcements", Master's Thesis, University of Waterloo, Canada.
  17. Kupfer, H., Hilsdorf, H. and Rusch, H. (1969), "Behaviour of concrete under biaxial stresses", ACI J. Proc., 66(8), 656-666.
  18. Lee, J. and Fenves, G. (1998), "Plastic-damage model for cyclic loading of concrete structures", J. Eng. Mech., 124(8), 892-900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892).
  19. Lubliner, J., Oliver, J., Oller, S. and Onate, E. (1989), "A plastic-damage model for concrete", Int. J. Solid. Struct., 25(3), 299-326. https://doi.org/10.1016/0020-7683(89)90050-4.
  20. Malm, R. (2006), "Shear cracks in concrete structures subjected to in-plane stresses", Thesis, Royal Institute of Technology, Stockholm, Sweden.
  21. Mohamed, K., Farghaly, A.S., Benmokrane, B. and Neale, K.W. (2017), "Nonlinear finite-element analysis for the behavior prediction and strut efficiency factor of GFRP-reinforced concrete deep beams", Eng. Struct., 137, 145-161. https://doi.org/10.1016/j.engstruct.2017.01.045.
  22. Nehdi, M., Chabib, H.E. and Said, A.A. (2007), "Proposed shear design equations for FRP-reinforced concrete beams based on genetic algorithms approach", J. Mater. Civil Eng., 19(12), 1033-1042. https://doi.org/10.1061/(ASCE)0899-1561(2007)19:12(1033).
  23. Nour, A., Massicotte, B., Yildiz, E. and Koval, V. (2007), "Finite element modelling of concrete structures reinforced with internal and external fibre-reinforced polymers", Can. J. Civil Eng., 34(3), 340-354. https://doi.org/10.1139/l06-140.
  24. Petersson, P. (1981), "Crack growth and development of fracture zones in plain concrete and similar materials", Report TVBM - 1006, Lund Institute of Technology, Lund, Sweden.
  25. Polling, R. (2001), "Eine Praxisnahe, Schdigungsorientierte Materialbeschreibung von Stahlbeton", Dissertation, Ruhr-Universitt Bochum, Germany.
  26. Rafi, M.M., Nadjai, A. and Ali, F. (2007), "Analytical modeling of concrete beams reinforced with carbon FRP bars", J. Compos. Mater., 41(22), 2675-2690. https://doi.org/10.1177/0021998307078728.
  27. Reineck, K., Kuchma, D., Kim, K. and Marx, S. (2003), "Shear data for reinforced concrete members with shear reinforcement", ACI Struct. J., 100(2), 240-249.
  28. Saleh, Z., Sheikh, M.N., Remennikow, A. and Basu, A. (2019), "Numerical analysis of behavior of glass fiber-reinforced polymer bar-reinforced concrete beams under impact loads", ACI Struct. J., 116(5), 151-160.
  29. Stoner, J. (2015), "Finite element modelling of GFRP reinforced concrete beams", Master's Thesis, University of Waterloo, Canada.
  30. Trunk, B. and Wittmann, F. (1998), "Experimental investigation into the size dependence of fracture mechanics parameters", Third International Conference of Fracture Mechanics of Concrete Structures, 3, 1937-1948.
  31. Yu, T., Teng, J., Wong, Y. and Dong, S. (2010), "Finite element modeling of confined concrete-I: Drucker Prager type plasticity model", Eng. Struct., 32(3), 665-679. https://doi.org/10.1016/j.engstruct.2009.11.014

피인용 문헌

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