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New constitutive models for non linear analysis of high strength fibrous reinforced concrete slabs

  • Yaseen, Ahmed Asaad (Civil Engineering Department, University of Mosul) ;
  • Abdul-Razzak, Ayad A. (Civil Engineering Department, University of Mosul)
  • Received : 2019.04.30
  • Accepted : 2022.02.25
  • Published : 2022.04.10

Abstract

The main goal of this study is to prepare a program for analyzing High Strength Steel Fibrous Reinforced Concrete (HSSFRC) slabs and predict the response and strength of the slab instead of preparing a prototype and testing it in the laboratory. For this purpose, new equations are proposed to represent the material properties of High Strength Steel Fibrous Reinforced Concrete. The proposed equations obtained from performing regression analysis on many experimental results using statistical programs. The finite element method is adopted for non-linear analysis of the slabs. The eight-node "Serendipity element" (3 DoF) is chosen to represent the concrete. The layered approach is adopted for concrete elements and the steel reinforcement is represented by a smeared layer. The compression properties of the concrete are modeled by a work hardening plasticity approach and the yield condition is determined depending on the first two stress invariants. A tensile strength criterion is adopted in order to estimate the cracks propagation. many experimental results for testing slabs are compared with the numerical results of the present study and a good agreement is achieved regarding load-deflection curves and crack pattern. The response of the load deflection curve is slightly stiff at the beginning because the creep effect is not considered in this study and for assuming perfect bond between the steel reinforcement and the concrete, however, a great agreement is achieved between the ultimate load from the present study and experimental results. For the models of the tension stiffening and cracked shear modulus, the value of Bg and Bt (Where Bg and Bt are the curvature factor for the cracked shear modulus and tension stiffening models respectively) equal to 0.005 give good results compared with experimental result.

Keywords

References

  1. Abbass, W., Khan, M.I. and Mourad, S. (2018), "Evaluation of mechanical properties of steel fiber reinforced concrete with different strengths of concrete", Constr. Build. Mater., 168, 556-569. https://doi.org/10.1016/j.conbuildmat.2018.02.164.
  2. Abdul-Razzak, A.A. (1996), "Non linear finite element analysis of fibrous reinforced concrete structural members", Ph.D. Thesis, University of Mosul.
  3. Abdul-Razzak, A.A. and Abdullah, S.M. (2002), "The influence of tension stiffening models on the nonlinear analysis of reinforced concrete slabs", SIGMA, 5(1), 9-18.
  4. Abdul-Razzak, A.A. and Ali, A.A.M. (2011), "Influence of cracked concrete models on the nonlinear analysis of high strength steel fibre reinforced concrete corbels", Compos. Struct., 93, 2277-2287. https://doi.org/10.1016/j.compstruct.2011.03.016.
  5. Abdul-Razzak, A.A. and Mohammed, A.A.J. (2011), "Modelling and numerical simulation of high strength fibre reinforced concrete corbels", Appl. Math. Model., 35, 2901-2915. https://doi.org/10.1016/j.apm.2010.11.073.
  6. Al-Mahaidi, R.S.H. (1978), "Non linear finite element analysis of reinforced concrete deep members", Ph.D. Thesis, Cornell University.
  7. Al-Shaarbaf, I.A.S. and Al-Rmahee, M.A.A. (2009), "Non linear finite element analysis of high strength reinforced concrete slabs", Al-Qadisiya J. Eng. Sci., 2(3).
  8. Al-sinjari, A.M.S. (2014), "Punching shear resistance of self compacting flat slabs reinforced with steel fibers", M.Sc. Thesis, University of Mosul.
  9. Eldin, H.K.S., Mohamed, H.A., Khater, M. and Ahmed, S. (2014), "Mechanical properties of ultra high performance fiber reinforced concrete", Int. J. Eng. Innov. Technol., 4(4), 4-10.
  10. Gul, M., Bashir, A. and Naqash, J.A. (2014), "Study of modulus of elasticity of steel fiber reinforced concrete", Int. J. Eng. Adv. Technol., 3(4), 304-309.
  11. Hinton, E. and Owen, D.R.J. (1984), Finite Element Software for Plates and Shells, Pineridge Press Limited, Swansea.
  12. Jang, S.J. and Yun, H.D. (2017), "Combined effects of steel fiber and coarse aggregate size on the compressive and flexural toughness of high-strength concrete", Compos. Struct., 185, 203-211. https://doi.org/10.1016/j.compstruct.2017.11.009.
  13. Koksal, F., Altun, F., Yigit, I. and Sahin, Y. (2008), "Combined effect of silica fume and steel fiber on the mechanical properties of high strength concretes", Constr. Build. Mater., 22, 1874-1880. https://doi.org/10.1016/j.conbuildmat.2007.04.017.
  14. Lee., S.C., Oh, J.H. and Cho, J.Y. (2015), "Compressive behavior of fiber-reinforced concrete with end-hooked steel fibers", Mater., 8, 1442-1458. https://doi.org/10.3390/ma8041442.
  15. Lim, D.H. and Nawy, E.G. (2005), "Behaviour of plain and steel fibre reinforced high strength concrete under uniaxial and biaxial compression", Mag. Concrete Res., 57(10), 603-610. https://doi.org/10.1680/macr.2005.57.10.603.
  16. Lin, W.J.V. and Quek, S.T. (2007), "Tensile behavior of twisted steel fiber reinforced cementitious composite", 32nd Conference on Our World in Concrete & Structures, Singapore.
  17. Lin, W.T., Huang, R., Lee, C.L. and Hsu, H.M. (2008), "Effect of steel fiber on the mechanical properties of cement based composites containing silica fume", J. Marine Sci. Technol., 16(3), 214-221. https://doi.org/10.51400/2709-6998.2010.
  18. Marar, K., Eren, O. and Yitmen, I. (2011), "Compression Specific Toughness of Normal Strength Steel Fiber Reinforced Concrete (NSSFRC) and High Strength Steel Fiber Reinforced Concrete (HSSFRC)", Mater. Res., 14(2), 239-247. https://doi.org/10.1590/S1516-14392011005000042.
  19. Mohammed, A.A. (2011), "Non linear analysis of high strength fibrous reinforced concrete corbels using plane stress element", M.Sc. Thesis, University of Mosul.
  20. Musmar, M.A. and Rjoub, M.I. (2007), "A mathematical expression for split tensile strength of steel fiber reinforced concrete", J. Eng. Sci., 35(2), 323-335. https://doi.org/10.21608/JESAUN.2007.111527.
  21. Nematzadeh, M. and Hasan-Nattaj, F. (2017), "Compressive stress-strain model for high-strength concrete reinforced with forta-ferro and steel fibers", J. Mater. Civil Eng. Struct., 29(10), 04017152. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001990.
  22. Pawade, P.Y., Nagarnaik, P.B. and Pande, A.M. (2011), "Performance of steel fiber on standard strength concrete in compression", Int. J. Civil Struct. Eng., 2(2), 483-492.
  23. Ragab, K.S. (2013), "Study punching shear of steel fiber reinforced self compacting concrete slabs by nonlinear analysis", Int. J. Civil Struct. Constr. Arch. Eng., 7(9), 288-299. https://doi.org/10.5281/zenodo.1087586.
  24. Salman, M.M., Al-Shaarbaf, I. and Aliewi, J.M. (2014), "Experimental study on the behavior of normal and high strength self compacting reinforced concrete corbels", J. Eng. Develop., 18(6), 17-35.
  25. Sokolov, A. (2010), "Tension stiffening model for reinforced concrete beams", Ph.D., Vilnius Gediminas Technical University.
  26. Song, P.S. and Hwang, S. (2004), "Mechanical properties of high strength steel fiber reinforced concrete", Constr. Build. Mater., 18, 669-673. https://doi.org/10.1016/j.conbuildmat.2004.04.027.
  27. Sumathi, A. and Mohan, K.S.R. (2014), "Strength predictions of admixed high performance steel fiber concrete", Int. J. ChemTech Res., 6(11), 4729-4736.
  28. Thomas, J. and Ramaswamy, A. (2007), "Mechanical properties of steel fiber reinforced concrete", J. Mater. Civil Eng., 19(5), 385-392. https://doi.org/10.1061/(ASCE)0899-1561(2007)19:5(385).
  29. Vecchio, F. and Collins, M.P. (1986), "The modified compressive - Field theory for reinforced concrete elements subjected to shear", ACI J. Proc., 83(2), 219-231.
  30. Yaseen, A.A. (2006), "Punching shear strength of steel fiber high strength reinforced concrete slabs", M.Sc. Thesis, University of Portsmouth.