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Predicting the Compressive Stress–Strain Curve of FRP-Confined Concrete Column Considering the Variation of Poisson’s Ratio

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Abstract

As it is well known, Poisson’s ratio of concrete is not constant during a loading process, but increases with increasing compressive loading. In this study, the effect of Poisson’s ratio and its variation on the compressive behavior of FRP-confined concrete is investigated using finite element (FE) analysis. The concrete triaxial behavior was modeled using plasticity theory and damage mechanics. Buckling of longitudinal rebars and bending of transverse rebars were included in the model. Because of the software limitations for applying the variation of Poisson’s ratio during the loading process, a stepwise procedure is proposed. For the sake of verification and corroboration of the results, for column samples under different confining and reinforcing conditions, the available test data in literature were examined. The data set contains 25 FRP-confined normal strength concrete columns with different number of FRP layers with or without steel reinforcement. The results of this study demonstrate the importance of considering the variation of Poisson’s ratio in 3D finite element analysis of confined concrete. Comparing the results obtained from the proposed model with the available test results in the literature shows that the average absolute error (AAE) of the proposed model is less than 14% with standard deviation (SD) of 6.16%. Therefore, the capability of this model in estimation of the entire compressive stress–strain curve of concrete columns over a wide range of confining conditions is acceptable.

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References

  1. Li P, Wu Y-F (2016) Stress–strain behavior of actively and passively confined concrete under cyclic axial load. Compos Struct 149:369–384

    Google Scholar 

  2. Vincent T, Ozbakkaloglu T (2017) Lateral strain-to-axial strain model for concrete-filled FRP tube columns incorporating interface gap and prestressed confinement. J Compos Constr 21(5):04017021

    Google Scholar 

  3. Fardis MN, Khalili HH (1982) FRP-encased concrete as a structural material. Mag Concr Res 34(121):191–202

    Google Scholar 

  4. Karbhari VM, Gao Y (1997) Composite jacketed concrete under uniaxial compression—verification of simple design equations. J Mater Civ Eng 9(4):185–193

    Google Scholar 

  5. Samaan M, Mirmiran A, Shahawy M (1998) Model of concrete confined by fiber composites. J Struct Eng 124(9):1025–1031

    Google Scholar 

  6. Xiao Y, Wu H (2000) Compressive behavior of concrete confined by carbon fiber composite jackets. J Mater Civ Eng 12(2):139–146

    Google Scholar 

  7. Lam L, Teng J (2003) Design-oriented stress–strain model for FRP-confined concrete. Constr Build Mater 17(6–7):471–489

    Google Scholar 

  8. Lam L, Teng J (2003) Design-oriented stress–strain model for FRP-confined concrete in rectangular columns. J Reinf Plast Compos 22(13):1149–1186

    Google Scholar 

  9. Wu G, Lü Z, Wu Z (2006) Strength and ductility of concrete cylinders confined with FRP composites. Constr Build Mater 20(3):134–148

    Google Scholar 

  10. Abbasnia R, Holakoo A (2012) An investigation of stress–strain behavior of FRP-confined concrete under cyclic compressive loading. Int J Civ Eng 10(3):201–209

    Google Scholar 

  11. Mirmiran A, Shahawy M (1996) A new concrete-filled hollow FRP composite column. Compos B Eng 27(3–4):263–268

    Google Scholar 

  12. Spoelstra MR, Monti G (1999) FRP-confined concrete model. J Compos Constr 3(3):143–150

    Google Scholar 

  13. Shahawy M, Mirmiran A, Beitelman T (2000) Tests and modeling of carbon-wrapped concrete columns. Compos B Eng 31(6–7):471–480

    Google Scholar 

  14. Mirmiran A, Zagers K, Yuan W (2000) Nonlinear finite element modeling of concrete confined by fiber composites. Finite Elem Anal Des 35(1):79–96

    MATH  Google Scholar 

  15. Karabinis AI, Rousakis TC, Manolitsi GE (2008) 3D finite-element analysis of substandard RC columns strengthened by fiber-reinforced polymer sheets. J Compos Constr 12(5):531–540

    Google Scholar 

  16. Yu T et al (2010) Finite element modeling of confined concrete-II: plastic-damage model. Eng Struct 32(3):680–691

    Google Scholar 

  17. Kupfer H, Hilsdorf HK, Rusch H (1969) Behavior of concrete under biaxial stresses. In: Journal proceedings

  18. Ottosen NS (1979) Constitutive model for short-time loading of concrete. J Eng Mech Div ASCE 105:127–141

    Google Scholar 

  19. Elwi AA, Murray DW (1979) A 3D hypoelastic concrete constitutive relationship. J Eng Mech Div 105(4):623–641

    Google Scholar 

  20. Loo Y, Base G (1990) Variation of creep Poisson’s ratio with stress in concrete under short-term uniaxial compression. Mag Concr Res 42(151):67–73

    Google Scholar 

  21. Mirmiran A, Shahawy M (1997) Dilation characteristics of confined concrete. Mech Cohes Frict Mater Int J Exp Model Comput Mater Struct 2(3):237–249

    Google Scholar 

  22. Candappa D, Sanjayan J, Setunge S (2001) Complete triaxial stress–strain curves of high-strength concrete. J Mater Civ Eng 13(3):209–215

    Google Scholar 

  23. Lu X, Hsu C-T (2007) Tangent Poisson’s ratio of high-strength concrete in triaxial compression. Mag Concr Res 59(1):69–77

    Google Scholar 

  24. Ispir M, Dalgic KD, Ilki A (2018) Hybrid confinement of concrete through use of low and high rupture strain FRP. Compos B Eng 153:243–255

    Google Scholar 

  25. Abaqus (2014) Abaqus analysis user’s manual 6.14. Dassault Systemes Simulia, Providence

    Google Scholar 

  26. Lubliner J et al (1989) A plastic-damage model for concrete. Int J Solids Struct 25(3):299–326

    Google Scholar 

  27. Haghinejada A, Nematzadeh M (2016) Three-dimensional finite element analysis of compressive behavior of circular steel tube-confined concrete stub columns by new confinement relationships. Latin Am J Solids Struct 13(5):916–944

    Google Scholar 

  28. Lin G, Teng J (2017) Three-dimensional finite-element analysis of FRP-confined circular concrete columns under eccentric loading. J Compos Constr 21(4):04017003

    Google Scholar 

  29. Raza A, Ahmad A (2019) Numerical investigation of load-carrying capacity of GFRP-reinforced rectangular concrete members using CDP model in ABAQUS. Adv Civ Eng 2019:21

    Google Scholar 

  30. Rewers I (2019) Numerical analysis of RC beam with high strength steel reinforcement using CDP model. In: IOP conference series: materials science and engineering. IOP Publishing

  31. Seok S et al (2018) High-resolution finite element modeling for bond in high-strength concrete beam. Eng Struct 173:918–932

    MathSciNet  Google Scholar 

  32. Maghsoudi M, Maghsoudi AA (2019) Finite element and experimental investigation on the flexural response of pre-tensioned T-girders. Int J Civ Eng 17(5):541–553

    Google Scholar 

  33. Jiang T et al (2020) Three-dimensional nonlinear finite element modeling for bond performance of ribbed steel bars in concrete under lateral tensions. Int J Civ Eng 18:595–617

    Google Scholar 

  34. Du G et al (2019) Experimental and numerical studies on concrete filled circular steel tubular (CFCST) members under impact loads. Int J Civ Eng 17(8):1211–1226

    Google Scholar 

  35. Rasouli M, Broujerdian V (2019) 3D finite element modeling of FRP-confined rectangular short columns considering variation of Poisson’s ratio. Iran J Sci Technol Trans Civ Eng 44:449–461

    Google Scholar 

  36. Yu T et al (2010) Finite element modeling of confined concrete-I: Drucker–Prager type plasticity model. Eng Struct 32(3):665–679

    Google Scholar 

  37. Carreira DJ, Chu K-H (1985) Stress–strain relationship for plain concrete in compression. In: Journal proceedings

  38. Aslani F, Jowkarmeimandi R (2012) Stress–strain model for concrete under cyclic loading. Mag Concr Res 64(8):673–685

    Google Scholar 

  39. Doran B, Koksal H, Turgay T (2009) Nonlinear finite element modeling of rectangular/square concrete columns confined with FRP. Mater Des 30(8):3066–3075

    Google Scholar 

  40. Yeh F-Y, Chang K-C (2012) Size and shape effects on strength and ultimate strain in FRP confined rectangular concrete columns. J Mech 28(4):677–690

    Google Scholar 

  41. Rochette P, Labossiere P (2000) Axial testing of rectangular column models confined with composites. J Compos Constr 4(3):129–136

    Google Scholar 

  42. Rousakis TC, Karabinis AI (2012) Adequately FRP confined reinforced concrete columns under axial compressive monotonic or cyclic loading. Mater Struct 45(7):957–975

    Google Scholar 

  43. Toutanji H (1999) Stress–strain characteristics of concrete columns externally confined with advanced fiber composite sheets. Mater J 96(3):397–404

    Google Scholar 

  44. Issa CA, Chami P, Saad G (2009) Compressive strength of concrete cylinders with variable widths CFRP wraps: experimental study and numerical modeling. Constr Build Mater 23(6):2306–2318

    Google Scholar 

  45. Büyüköztürk O, Yu T-Y (2006) Understanding and assessment of debonding failures in FRP-concrete systems. In: Seventh international congress on advances in civil engineering, Citeseer

  46. Lim JC, Ozbakkaloglu T (2014) Design model for FRP-confined normal-and high-strength concrete square and rectangular columns. Mag Concr Res 66(20):1020–1035

    Google Scholar 

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Correspondence to Vahid Broujerdian.

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Rasouli, M., Broujerdian, V. & Kazemnadi, A. Predicting the Compressive Stress–Strain Curve of FRP-Confined Concrete Column Considering the Variation of Poisson’s Ratio. Int J Civ Eng 18, 1365–1380 (2020). https://doi.org/10.1007/s40999-020-00550-3

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  • DOI: https://doi.org/10.1007/s40999-020-00550-3

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