Computers and Concrete

  • 제10권3호
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  • Pages.307-330
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  • 2012
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  • 1598-8198(pISSN)
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  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
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Numerical and statistical analysis about displacements in reinforced concrete beams using damage mechanics

  • Pituba, Jose J. De C. (Computational Modelling of Structures Group, Civil Engineering Department, Campus Catalao, Federal University of Goias Catalao) ;
  • Delalibera, Rodrigo G. (Computational Modelling of Structures Group, Civil Engineering Department, Campus Catalao, Federal University of Goias Catalao) ;
  • Rodrigues, Fabio S. (Computational Modelling of Structures Group, Civil Engineering Department, Campus Catalao, Federal University of Goias Catalao)
  • 투고 : 2011.04.25
  • 심사 : 2012.04.17
  • 발행 : 2012.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

This work intends to contribute for the improvement of the procedure suggested by Brazilian Technical Code that takes into account the cracked concrete stiffness in the estimative of the displacement of reinforced concrete beams submitted to service loads. A damage constitutive model accounting for induced anisotropy, plastic deformations and bimodular elastic response is used in order to simulate the concrete behaviour, while an elastoplastic behaviour is admitted for the reinforcement. The constitutive models were implemented in a program for bars structures analysis with layered finite elements. Initially, the damage model is briefly presented as well as the parametric identification of the materials that have been used in the reinforced concrete beams. After that, beams with different geometries and reinforcement area are analyzed and a statistical method (ANOVA) is employed in order to identify the main variables in the problem. Soon after, the same procedure is used with another resistance of concrete, where the compression strength is changed. The numerical responses are compared with the ones obtained by Brazilian Technical Code and experimental tests in order to validate the use of the damage model. Finally, some remarks are discussed based on responses presented in this work.

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참고문헌

  1. ABNT - Technical Codes Brazilian Association - NBR 6118:2003 (2007), Design of concrete structures - Procedure, Rio de Janeiro, in portuguese.
  2. Alvares, M.S. (1993), On the damage model for the concrete: formulation, parametric identification and applications with finite element method, Master Sciences Thesis, University of Sao Paulo, Sao Paulo, Brazil, in portuguese.
  3. Brancherie, D. and Ibrahimbegovic, A. (2009), "Novel anisotropic continuum-discrete damage model capable of representing localized failure of massive structures. Part I: theoretical formulation and numerical implementation", Int. J. Eng. Comput., 26(1-2), 100-127.
  4. Branson, D.E. (1968), "Procedures for computing deflections", ACI J., 65(9), New York, September.
  5. Curnier, A., He, Q. and Zysset, P. (1995), "Conewise linear elastic materials", J. Elasticity, 37(1), 1-38. https://doi.org/10.1007/BF00043417
  6. Delalibera, R.G. and Giongo, J.S. (2008), "Theoretical and numerical analysis of reinforced concrete beams with confinement reinforcement", IBRACON Struct. Mater. J., 1(17), 17-30.
  7. Greco, A. and Pau, A. (2011), "Detection of a concentrated damage in a parabolic arch by measured static displacements", Struct. Eng. Mech., 39(6), 751-765. https://doi.org/10.12989/sem.2011.39.6.751
  8. Ibrahimbegovic, A., Jehel, P. and Davenne, L. (2008), "Coupled damage-plasticity constitutive model and direct stress interpolation", Comput. Mech., 42(1), 1-11. https://doi.org/10.1007/s00466-007-0230-6
  9. Kucerova, A., Brancherie, D., Ibrahimbegovic, A., Zeman, J. and Bittnar, Z. (2009), "Novel anisotropic continuumdiscrete damage model capable of representing localized failure of massive structures: Part II: identification from tests under heterogeneous stress field", Int. J. Eng. Comput., 26(1-2), 128-144.
  10. La Borderie, C. (1991), Unilateral phenomena in damage materials: modeling and application to the concrete structures analysis, Doctoral Dissertation, University of Paris, France, in french.
  11. Lemaitre, J. and Chaboche, J.L. (1990), Mechanics of solid materials, Cambridge: Cambridge University Press.
  12. Lima Junior, H.C. and Giongo, J.S. (2004), "Steel-fibre high-strength concrete prisms confined by rectangular ties under concentric compression", Mater. Struct., 37(274), 689-697. https://doi.org/10.1007/BF02480514
  13. Mazars, J. (1986), "A description of micro and macroscale damage of concrete structures", Eng. Fract. Mech., 25(5-6), 729-737. https://doi.org/10.1016/0013-7944(86)90036-6
  14. Montgomery, D.C. (1996), Design and analysis of experiments, Arizona State University, 4th Edition, John Wiley & Sons.
  15. Murthy, A.R.C., Palani, G.S., Iyer, N.R. and Gopinath, S. (2008), "A methodology for remaining life prediction of concrete structural components accounting for tension softening effect", Comput. Concrete, 5(3), 261-277. https://doi.org/10.12989/cac.2008.5.3.261
  16. Na, C. and Kwak, H. (2011), "A numerical tension-stiffening model for ultra-high strength fiber reinforced concrete beams", Comput. Concrete, 8(1), 1-22. https://doi.org/10.12989/cac.2011.8.1.001
  17. Pituba, J.J.C. (2006a), "On the formulation of damage constitutive models for bimodular and anisotropic media", Proc. 3th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering, Lisbon.
  18. Pituba, J.J.C. (2006b), "Formulation of damage models for bimodular and anisotropic media", Revi. Sul-Am. de Eng. Estrut., 3, 7-29.
  19. Pituba, J.J.C. (2008), "An anisotropic model of damage and unilateral effect for brittle materials", Int. J. Appl. Math. Comput. Sci., 4, 100-105.
  20. Pituba, J.J.C. (2009), "Local state method applied on the formulation of damage constitutive models for concrete", Acta Sci. Tech., 31(1), 15-23.
  21. Pituba, J.J.C. (2010), "Validation of a damage model for the non-linear analysis of reinforced concrete structures", Acta Sci. Technol., 32(3), 251-259.
  22. Pituba, J.J.C. and Fernandes, G.R. (2011), "An anisotropic damage for the concrete", J. Eng. Mech., 137(9), 610-624. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000260
  23. Proenca, S.P.B. and Pituba, J.J.C. (2003), "A damage constitutive model accounting for induced anisotropy and bimodular elastic response", Latin Am. J. Sol. Struct., 1(1), 101-117.
  24. Ramadoss, P. and Nagamani, K. (2012), "Statistical methods of investigation on the compressive strength on high-performance steel fiber reinforced concrete", Comput. Concrete, 9(2), 153-169. https://doi.org/10.12989/cac.2012.9.2.153
  25. Vecchio, F.J. and Emara, M.B. (1992), "Shear deformations in reinforced concrete frames", ACI Struct. J., 89(1), 46-56.
  26. Zhu, Q., Kondo, D. and Shao, J. (2009), "Homogenization-based analysis of anisotropic damage in brittle materials with unilateral effect and interactions between microcracks", Int. J. Numer. Anal. Meth. Geomech., 33(6), 749-772. https://doi.org/10.1002/nag.741

피인용 문헌

  1. A bi-dissipative damage model for concrete vol.8, pp.1, 2015, https://doi.org/10.1590/S1983-41952015000100006
  2. Avaliação de deflexões em estruturas de concretoarmado utilizando mecânica do dano vol.7, pp.1, 2014, https://doi.org/10.1590/S1983-41952014000100005
  3. A damage model formulation: unilateral effect and RC structures analysis vol.15, pp.5, 2015, https://doi.org/10.12989/cac.2015.15.5.709
  4. Evaluation of a proposed model for concrete at mesoscopic scale vol.10, pp.5, 2017, https://doi.org/10.1590/s1983-41952017000500009
  5. Elasto-plastic damage modelling of beams and columns with mechanical degradation vol.19, pp.3, 2017, https://doi.org/10.12989/cac.2017.19.3.315
  6. A proposal to use the inverse problem for determining parameters in a constitutive model for concrete vol.25, pp.13, 2012, https://doi.org/10.1007/s00500-021-05745-x