Coupled systems mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Data driven inverse stochastic models for fiber reinforced concrete

  • Received : 2021.07.16
  • Accepted : 2021.10.11
  • Published : 2021.12.25
⟨ Previous Next ⟩

Abstract

Fiber-reinforced concrete (FRC) is a composite material where small fibers made from steel or polypropylene or similar material are embedded into concrete matrix. In a material model each constituent should be adequately described, especially the interface between the matrix and fibers that is determined with the 'bond-slip' law. 'Bond-slip' law describes relation between the force in a fiber and its displacement. Bond-slip relation is usually obtained from tension laboratory experiments where a fiber is pulled out from a matrix (concrete) block. However, theoretically bond-slip relation could be determined from bending experiments since in bending the fibers in FRC get pulled-out from the concrete matrix. We have performed specially designed laboratory experiments of three-point beam bending with an intention of using experimental data for determination of material parameters. In addition, we have formulated simple layered model for description of the behavior of beams in the three-point bending test. It is not possible to use this 'forward' beam model for extraction of material parameters so an inverse model has been devised. This model is a basis for formulation of an inverse model that could be used for parameter extraction from laboratory tests. The key assumption in the developed inverse solution procedure is that some values in the formulation are known and comprised in the experimental data. The procedure includes measured data and its derivative, the formulation is nonlinear and solution is obtained from an iterative procedure. The proposed method is numerically validated in the example at the end of the paper and it is demonstrated that material parameters could be successfully recovered from measured data.

Keywords

Acknowledgement

This work has been supported by Croatian Science Foundation through project HRZZ 7926 "Separation of parameter influence in engineering modeling and by the European Union through the European Regional Development Fund, Operational Programme "Competitiveness and Cohesion 2014-2020" of the Republic of Croatia, project "Protection of Structural Integrity in Energy and Transport" (ZaCjel, KK.01.1.1.04.0056), which is gratefully acknowledged.

References

  1. Ibrahimbegovic, A. and Mejia-Nava, R.A. (2021), "Heterogeneities and material-scales providing physically-based damping to replace Rayleigh damping for any structure size", Couple. Syst. Mech., 10, 201-216. http://doi.org/10.12989/csm.2021.10.3.201.
  2. Ibrahimbegovic, A., Mathies, H.G. and Karavelic, E. (2020), "Reduced model of macro-scale stochastic plasticity identification by Bayesian inference in application to quasi-brittle failure of concrete", Comput. Meth. Appl. Mech. Eng., 372, 113428. https://doi.org/10.1016/j.cma.2020.113428.
  3. Kozar, I. and Ozbolt, J. (2010), "Some aspects of load-rate sensitivity in visco-elastic microplane model", Comput. Concrete, 7(4) 317-329. http://doi.org/10.12989/cac.2010.7.4.317.
  4. Kozar, I., Bede, N., Mrakovcic, S. and Bozic, Z. (2021), "Layered model of crack growth in concrete beams in bending", Procedia Struct. Integrit., 31, 134-139. https://doi.org/10.1016/j.prostr.2021.03.022.
  5. Kozar, I., Ibrahimbegovic, A. and Rukavina, T. (2018), "Material model for load rate sensitivity", Couple. Syst. Mech., 7, 141-216. http://doi.org/10.12989/csm.2018.7.2.141.
  6. Kozar, I., Toric Malic, N. and Rukavina, T. (2018), "Inverse model for pullout determination of steel fibers", Couple. Syst. Mech., 7, 197-209. http://doi.org/10.12989/csm.2018.7.2.197.
  7. Kozar, I., Toric Malic, N., Mrakovcic, S. and Simonetti, D. (2019b), "Combining deterministic and stochastic parameter estimation for fiber reinforced concrete modeling", ECCOMAS MSF 2019, Eds. A. Ibrahimbegovic, S. Dolarevic, E. Dzaferovic, M. Hrasnica, I. Bjelonja, M. Zlatar, K. Hanjalic, Sarajevo, Bosnia and Hercegovina, September.
  8. Kozar, I., Toric Malic, N., Mrakovcic, S. and Simonetti, D. (2019c), "Parameter estimation in fiber reinforced concrete", Proceedings of the International Conference on Sustainable Materials, Systems and Structures (SMSS2019), Eds. I. Gabrijel, C. Grosse, M. Skazlic, Rovinj, Croatia, April.
  9. Kozar, I., Toric Malic, N., Simonetti, D. and Bozic, Z. (2020), "Stochastic properties of bond-slip parameters at fibre pull-out", Eng. Fail. Anal., 111, 104478. https://doi.org/10.1016/j.engfailanal.2020.104478.
  10. Kozar, I., Toric Malic, N., Smolcic, Z. and Simonetti, D. (2019a), "Bond-slip parameter estimation in fibre reinforced concrete at failure using inverse stochastic model", Eng. Fail. Anal., 104, 84-95. https://doi.org/10.1016/j.engfailanal.2019.05.019.
  11. Ozbolt, J., Li, Y.J. and Kozar, I. (2001), "Microplane model for concrete with relaxed kinematic constraint", Int. J. Solid. Struct., 38(16), 2683-2711. https://doi.org/10.1016/S0020-7683(00)00177-3.
  12. Rukavina, I., Ibrahimbegovic, A., Do, X.N. and Markovic, D. (2019), "ED-FEM multi-scale computation procedure for localized failure", Couple. Syst. Mech., 8, 111-127. https://doi.org/10.12989/csm.2019.8.2.111.
  13. Rukavina, T., Ibrahimbegovic, A. and Kozar, I. (2019a), "Fiber-reinforced brittle material fracture models capable of capturing a complete set of failure modes including fiber pull- out", Comput. Meth. Appl. Mech. Eng., 355, 157-192. https://doi.org/10.1016/j.cma.2019.05.054.
  14. Rukavina, T., Ibrahimbegovic, A. and Kozar, I. (2019b), "Multi-scale representation of plastic deformation in fiber-reinforced materials: application to reinforced concrete", Latin Am. J. Solid. Struct., 25, 1-11. https://doi.org/10.1590/1679-78255341.
  15. Sarfaraz, S.M., Rosic, B.V, Matthies, H.G. and Ibrahimbegovic, A. (2018), "Stochastic upscaling via linear bayesian updating", Couple. Syst. Mech., 7, 211-231. https://doi.org/10.12989/csm.2018.7.2.211.
  16. Thacker, B.H., Doebling, S.W., Hemez, F.M., Anderson, M.C., Pepin, J.E. and Rodriguez, E.A. (2004), "Concepts of model verification and validation", Los Alamos National Laboratory, LA-14167-MS. https://doi.org/10.2172/835920.