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A 3D Plasticity Model for Concrete and Its Application to Concrete Under Non-uniform FRP Confinement

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10th International Conference on FRP Composites in Civil Engineering (CICE 2021)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 198))

Abstract

Fiber-reinforced polymer (FRP)-confined concrete members have been attracting extensive research attention. The mechanical behavior of concrete under uniform FRP confinement, as is found in FRP-confined circular concrete columns under concentric compression, has been well understood and can be accurately predicted using existing theoretical models. However, the same cannot be said about concrete under non-uniform confinement, as is found in FRP-confined concrete members with a non-circular cross-section or subjected to eccentric compression. The major obstacle is the lack of an accurate constitutive model for concrete under non-uniform passive confinement. The existing analytical stress-strain models for FRP-confined concrete are essentially one-dimensional (1D) (i.e. the so-called design-oriented models) or two-dimensional (2D) (i.e. the so-called analysis-oriented models), and are therefore not directly applicable to concrete under non-uniform FRP confinement which requires three-dimensional (3D) stress and strain relationships. The conventional plasticity models, though having the ability to predict 3D stress-strain responses, have been developed to reflect the experimental behavior of concrete under active stresses, and are thus incapable of accurate prediction of the behavior of FRP-confined concrete. An improvement to such a conventional plasticity model is to embed an accurate 2D analysis-oriented analytical model for FRP-confined concrete into a 3D plasticity model, leading to an analytically augmented (AA) plasticity model. However, such a combination involves an inherent approximation in connecting the 2D response of the former with the 3D response of the latter, and as a result such an AA plasticity model is still inaccurate for concrete under substantially non-uniform FRP confinement. This paper first presents a new plasticity constitutive model for concrete developed by the authors, in which a novel potential surface is employed to accurately predict the 3D stress-strain behavior of concrete under non-uniform passive confinement. The model has been implemented with the general-purpose finite element package ABAQUS, and its performance is demonstrated through simulating the mechanical behavior of an FRP-confined elliptical concrete column under concentric compression.

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References

  • Grassl P, Lundgren K, Gylltoft K (2002) Concrete in compression: a plasticity theory with a novel hardening law. Int J Solids Struct 39(20):5205–5223

    Article  Google Scholar 

  • Kupfer H, Hilsdorf HK, Rusch H (1969) Behavior of concrete under biaxial stresses. ACI J 66(8):656–666

    Google Scholar 

  • Lam L, Teng JG (2004) Ultimate condition of fiber reinforced polymer-confined concrete. J Compos Constr (ASCE) 8(6):539–548

    Article  Google Scholar 

  • Lee J, Fenves GL (1998) Plastic-damage model for cyclic loading of concrete structures. J Eng Mech (ASCE) 124(8):892–900

    Article  Google Scholar 

  • Liu KC, Jiang C, Yu T, Teng JG (2021) Axial compressive behavior of elliptical FRP tube-confined concrete columns. (Under preparation)

    Google Scholar 

  • Menetrey P, Willam KJ (1995) Triaxial failure criterion for concrete and its generalization. ACI Struct J 92(3):311–318

    Google Scholar 

  • Mohammadi M, Dai JG, Wu YF, Bai YL (2019) Development of extended drucker-prager model for non-uniform FRP-confined concrete based on triaxial tests. Constr Build Mater 224:1–18

    Article  Google Scholar 

  • Teng JG, Huang YL, Lam L, Ye LP (2007) Theoretical model for fiber-reinforced polymer-confined concrete. J Compos Constr (ASCE) 11(2):201–210

    Article  Google Scholar 

  • Yu T, Teng JG, Wong YL, Dong SL (2010a) Finite element modeling of confined concrete-I: Drucker-Prager type plasticity model. Eng Struct 32(3):665–679

    Google Scholar 

  • Yu T, Teng JG, Wong YL, Dong SL (2010b) Finite element modeling of confined concrete-II: Plastic-damage model. Eng Struct 32(3):680–691

    Google Scholar 

  • Zheng BT, Teng JG (2021) A plasticity constitutive model for concrete under multiaxial compression. (Submitted for publication)

    Google Scholar 

Download references

Acknowledgment

The authors are grateful for the financial support received from the Research Grants Council (RGC) of the Hong Kong Special Administrative Region, China, through the Theme-based Research Scheme (Project No.: T22–502/18-R), and the National Natural Science Foundation of China (NSFC)/RGC Joint Research Scheme (Project No.: N_PolyU520/16).

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Correspondence to J. G. Teng .

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Zheng, B.T., Teng, J.G. (2022). A 3D Plasticity Model for Concrete and Its Application to Concrete Under Non-uniform FRP Confinement. In: Ilki, A., Ispir, M., Inci, P. (eds) 10th International Conference on FRP Composites in Civil Engineering. CICE 2021. Lecture Notes in Civil Engineering, vol 198. Springer, Cham. https://doi.org/10.1007/978-3-030-88166-5_55

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  • DOI: https://doi.org/10.1007/978-3-030-88166-5_55

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-88165-8

  • Online ISBN: 978-3-030-88166-5

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