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A finite macro-element for corroded reinforced concrete

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Abstract

This paper proposes a model of the mechanical behaviour of corroded reinforced concrete members subjected to bending under service load. The model is based on the formulation of a macro-element to be used in FEM analysis, having a length equal to the distance between two consecutive flexural cracks and a cross-section equal to the member cross-section. The mechanical formulation is directly written in generalized variables (bending moment and curvature) and is based on the concept of the transfer length necessary for the transmission of tensile load from re-bar to tensile concrete thanks to the bond. It is thus possible to take into account the effect of reinforcement corrosion on the bond between re-bar and concrete, by increasing the transfer length versus intensity of corrosion. The variation of the transfer length versus corrosion is expressed using a scalar damage parameter. A first experimental validation is performed on a 17-year-old beam kept in a chloride environment under its service load.

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References

  1. Castel A, François R, Arliguie G (2000) Mechanical behaviour of corroded reinforced concrete beams, part.1: Experimental study of corroded beams. Materials and Structures, 33:539–544.

    Article  Google Scholar 

  2. Castel A, François R, Arliguie G (2000) Mechanical behaviour of corroded reinforced concrete beams, part.2: Bond and notch effects. Materials and Structures, 33:545–551.

    Article  Google Scholar 

  3. Rodriguez J, Ortega LM, Casal J, Diez JM (1996) Assessing structural conditions of concrete structures with corroded reinforcements. 4th Int. Congress on concrete in the service of mankind, Proceedings of an International Conference, Dundee UK.

  4. Gilbert RI, Wanner RF (1978) Tension stiffening in reinforced concrete slabs. J of Structural Engineering ASCE, 104(12):1885–1900.

    Google Scholar 

  5. Vecchio FJ (1989) Non-linear finite element analysis of reinforced concrete membranes. ACI Struct. J., 86(1):26–35.

    MathSciNet  Google Scholar 

  6. Thomas TC, Zhang H, Zhang LX (1996) Tension stiffening in reinforced concrete membrane elements. ACI Struct. J., 93(1):108–115.

    Google Scholar 

  7. Chan HC, Chueng YK, Huang YP (1992) Crack analysis of reinforced concrete tension members. J of Structural Enginering ASCE, 118(8):2118–2132.

    Google Scholar 

  8. Choi C-K, Cheung S-H (1996) Tension stiffening model for planar reinforced concrete members, computers & structures, 59(1):179–190.

  9. Gupta A, Maestrini SR (1989) Post-cracking behavior of membrane reinforced concrete elements including tension stiffening. J. of Structural Engineering ASCE, 115(4):957–976.

    Article  Google Scholar 

  10. Floegl H, Herbert H, Mang A. (1982) Tension stiffening concept on bond slip. J. of Structural Engineering ASCE, 108(12):2681–2701.

    Google Scholar 

  11. Hwang S-J, Leu Y-R, Hwang H-L (1996) Tensile bond strengths of deformed bars of high-strength concrete, ACI Structural Journal, 93(1):11–20.

    Google Scholar 

  12. Kaufmann W, Marti P (1998) Structural concrete: cracked membrane model. Journal of structural engineering, 1467–1475.

  13. Manfredi G, Pecce M (1998) A refined RC beam element including bond-slip relationship for the analysis of continuous beams. Computers & Structures, 69:53–62.

    Article  MATH  Google Scholar 

  14. Salem H, Maekawa K (1999) Spacially averaged tensile mechanics for cracked concrete and reinforcement in highly inelastic range, Concrete library of JSCE No. 34:151–169.

  15. Somayaji S, Shah SP (1981) Bond stress versus slip relationship and cracking response of tension members. ACI J. 78(3):217–225.

    Google Scholar 

  16. Yang S, Chen J (1988) Bond slip and crack width calculations of tension members, ACI Structural Journal, 85:414–422.

    Google Scholar 

  17. Alwis WAM. (1990) Trilinear moment-curvature relationship for reinforced concrete beams. ACI Structural Journal, 87(3):276–283.

    Google Scholar 

  18. Carreira JD, Chu K (1986) The moment-curvature relationship of reinforced concrete members. ACI Structural Journal, 83(2):191–198.

    Google Scholar 

  19. El-Metwally SE, Chen W (1989) Load-deformation relations for reinforced concrete sections. ACI Structural Journal, 86(2).

  20. Ghali A (1993) Deflection of reinforced concrete members: a critical review. ACI Structural Journal 90(4):364–373.

    Google Scholar 

  21. Favre R, Charif H (1994) Basic model and simplified calculation of deformations according to the CEB-FIP model code 1990. ACI Structural Journal 91(2).

  22. Prakhya GKV, Morley CT. (1990) Tension stiffening and moment curvature relations of reinforced concrete elements. ACI Structural Journal, 87(5):597–605.

    Google Scholar 

  23. CEB-FIP (1990) model code. Structural concrete. basis of design volume 2. Updated knowledge of the CEB-FIP model code, 1999.

  24. Kwak HG, Song JY (2002) Cracking analysis of RC members using polynomial strain distribution function. Engineering Structures, 24(4):455–468.

    Article  Google Scholar 

  25. Davenne L, Ragueneau F, Mazars J, Ibrahimbegovic A. (2003) Efficient approaches to finite element analysis in earthquake engineering. Computers & Structures, 81(12):1223–1239.

    Article  Google Scholar 

  26. Takeda T, Filippou FC, Taucer FF (1996). Fiberbeam-column model for non-linear analysis of RC frames. I : Formulation. Earthquake Engineering and Structural Dynamics, 25(7):711–725.

    Article  Google Scholar 

  27. Elachachi SM, Breysse D, Houy L, (2004) Longitudinal variability of soils and structural response of sewer networks. Computers and Geotechnics, 31: 625–641.

    Google Scholar 

  28. François R, Arliguie G, Maso JC (1994) Durabilité du béton armé soumis à l'action des chlorures, Annales de l'ITBTP, no 529, p. 1–48.

  29. François R, Ringot E (1988) Capteur de force sur chevêtre de charge pour poutre en béton armé, GAMAC INFO, no 2–3, pp. 21–28.

  30. Maldague JC (1965) Contribution à l'étude des déformations instantanées des poutres en béton armé. Institut Technique du Bâtiment et des Travaux Publics no 213.

  31. Batoz J-L., Dhatt G, (1990) Modélisation des structures par éléments finis, Vol. 2, poutres et plaques, Ed. Hermes

  32. Carde C., François R (1997) Aging damage model of concrete behavior during the leaching process. Materials and Structures, 30: 465–472.

    Google Scholar 

  33. Gérard B, Pijaudier-Cabot G, La Borderie C (1998) Coupled diffusion damage modelling and the implications on failure due to strain localisation, Int J. Solids & Structures, 35:4170–4120.

    Google Scholar 

  34. Saetta A, Scotta R, Vitaliani R (1999) coupled environmental-Mechanical damage model of RC structures, J Engrg Mech ASCE, 125:930–940.

    Google Scholar 

  35. Vidal T, Castel A, François R (2004) Analyzing crack width to predict corrosion in reinforced concrete. Cement and Concrete Research, 34(1):165–174.

    Article  Google Scholar 

  36. Almusallam AA, Al-Gahtani AS, Aziz AR, Rasheeduzzafar (1996) Effect of reinforcement corrosion on bond strength. Construction and Building Materials, 10(2):123–129.

    Article  Google Scholar 

  37. Mangat PS, Elgarf MS (1999) Bond characteristics of corroding reinforcement in concrete beams. Materials and structures, 32:89–97.

    Article  Google Scholar 

  38. Fang C, Lundgren K, Chen L, Zhu C (2004) Corrosion influence on bond in reinforced concrete. Cement and Concrete Research, 34:2159–2167.

    Article  Google Scholar 

  39. Cabrera JG (1996) Deterioration of concrete due to reinforcement corrosion, Cement and Concrete Composites, 18:47–59.

  40. Lee HS, Noguchi T, Tomosawa F (2002) Evaluation of the bond properties between concrete and reinforcement as a function of the degree of reinforcement corrosion. Cement and Concrete Research, 32(202):1313–1318.

    Article  Google Scholar 

  41. Ballim Y, Reid, JC (2003) Reinforcement corrosion and the deflection of RC beams–an experimental critique of current test methods. Cement and Concrete Composites, 25:625–632.

    Article  Google Scholar 

  42. Stanish K, Hooton RD, Pantazopoulou SJ (1999) Corrosion effects on bond strength in reinforced concrete. ACI Struct J, 96(6):915–921.

    Google Scholar 

  43. Tachibana Y, Maeda K, Kajikawa M, Kawamura M (1990) Mechanical behaviour of RC beams damaged by corrosion of reinforcement In Page CL, Treadaway KWJ, Bamforth PB, editors; Corrosion of reinforcement in concrete, Elsevier Applied Science, 178–187.

  44. Vu N-A, Castel A, François R (2005) BenchMark des poutre de la Rance, modélisation LMDC, Research Report to RGCU, (in French).

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Authors and Affiliations

  1. LMDC, INSA Toulouse, Toulouse, France

    Raoul François

  2. LMDC, UPS Toulouse, Toulouse, France

    Arnaud Castel & Thierry Vidal

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  1. Raoul François
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  2. Arnaud Castel
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  3. Thierry Vidal
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François, R., Castel, A. & Vidal, T. A finite macro-element for corroded reinforced concrete. Mater Struct 39, 571–584 (2006). https://doi.org/10.1617/s11527-006-9096-x

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