Numerical Simulation of Fiber-reinforced Concrete under Cyclic Loading using Extended Finite Element Method and Concrete Damaged Plasticity

Document Type : Original Article

Authors

MODSGC Unit, National School of Applied Sciences Al Hoceima, University Abdelmalek Essaadi, Tangier, Morocco

Abstract

In recent years, the scientific community has shown a growing interest in fiber-reinforced concrete (FRC) for modern structures due to its enhanced ductility compared to traditional reinforced concrete (RC). This paper introduces an analytical model that incorporates a comprehensive fiber reinforcing index (RI) to study various types of FRC. The analysis focuses on the compressive and tensile behaviors, damage evolution under cyclic loading, and crack propagation in the concrete matrix. To effectively simulate crack initiation and propagation in FRC structures, the extended finite element method (XFEM) is employed, leveraging its fracture-solving capabilities. Additionally, the XFEM is combined with the concrete damaged plasticity (CDP) modeling approach to examine the quasi-static and hysteretic performance of FRC columns. Three-dimensional nonlinear finite element models are constructed using the commercial software Abaqus. These models incorporate steel fibers, polypropylene fibers, and a combination of both types of fibers in the FRC structures. Furthermore, the accuracy of the XFEM-CDP-based analysis in predicting hysteretic behavior is validated against results from previous research articles, demonstrating reasonable accuracy. It allows engineers to accurately capture the nonlinear behavior of concrete, including cracking, crushing, and plastic deformation, while also considering the complex crack patterns, providing a better understanding of the seismic performance of FRC structures using numerical simulations.

Keywords

Main Subjects


  1. Opabola, E. A., and Mangalathu, S. “Seismic fragility assessment of bridges with as-built and retrofitted splice-deficient columns.” Bulletin of Earthquake Engineering, Vol. 21, No. 1, (2023), 583-603. https://doi.org/10.1007/s10518-022-01521-w
  2. Zhang, Y. Y., Harries, K. A., and Yuan, W. C. “Experimental and numerical investigation of the seismic performance of hollow rectangular bridge piers constructed with and without steel fiber reinforced concrete.” Engineering Structures, Vol. 48, (2013), 255-265. https://doi.org/10.1016/j.engstruct.2012.09.040
  3. Marc-André, D., and Bruno, M. “Tension Lap Splices Strengthened with Ultrahigh-Performance Fiber-Reinforced Concrete.” Journal of Materials in Civil Engineering, Vol. 27, No. 7, (2015), 4014206. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001169
  4. Hajsadeghi, M., Jalali, M., Chin, C. S., Zirakian, T., and Bahrebar, M. “Flexural Performance of Fibre Reinforced Concrete with an Optimised Spirally Deformed Steel Fibre.” International Journal of Engineering, Transactions C: Aspects, Vol. 34, No. 6, (2021), 1390-1397. https://doi.org/10.5829/ije.2021.34.06c.01
  5. Rahmanzadeh, S., and Tariverdilo, S. “Evaluating Applicability of ASTM C 928 Approach in Assessing Adequacy of Patch Repair of Bridge Piers.” International Journal of Engineering Transactions C: Aspects, Vol. 33, No. 12, (2020), 2455-2463. https://doi.org/10.5829/ije.2020.33.12c.04
  6. Magbool, H. M., and Zeyad, A. M. “The effect of various steel fibers and volcanic pumice powder on fracture characteristics of Self-Compacting concrete.” Construction and Building Materials, Vol. 312, (2021), 125444. https://doi.org/https://doi.org/10.1016/j.conbuildmat.2021.125444
  7. Zhang, P., Wei, S., Wu, J., Zhang, Y., and Zheng, Y. “Investigation of mechanical properties of PVA fiber-reinforced cementitious composites under the coupling effect of wet-thermal and chloride salt environment.” Case Studies in Construction Materials, (2022).
  8. Huang, L., Xu, L., Chi, Y., and Xu, H. “Experimental investigation on the seismic performance of steel-polypropylene hybrid fiber reinforced concrete columns.” Construction and Building Materials, Vol. 87, (2015), 16-27. https://doi.org/10.1016/j.conbuildmat.2015.03.073
  9. Liang, X., Xing, P., and Xu, J. “Experimental and numerical investigations of the seismic performance of columns with fiber-reinforced concrete in the plastic hinge region.” Advances in Structural Engineering, Vol. 19, No. 9, (2016), 1484-1499. https://doi.org/10.1177/1369433216643896
  10. Zhang, Y., and Dias-da-Costa, D. “Seismic vulnerability of multi-span continuous girder bridges with steel fibre reinforced concrete columns.” Engineering Structures, Vol. 150, (2017), 451-464. https://doi.org/10.1016/j.engstruct.2017.07.053
  11. Pang, Y., Cai, L., Ouyang, H., and Zhou, X. “Seismic performance assessment of different fibers reinforced concrete columns using incremental dynamic analysis.” Construction and Building Materials, Vol. 203, (2019), 241-257. https://doi.org/10.1016/j.conbuildmat.2019.01.087
  12. Chi, Y., Yu, M., Huang, L., and Xu, L. “Finite element modeling of steel-polypropylene hybrid fiber reinforced concrete using modified concrete damaged plasticity.” Engineering Structures, Vol. 148, (2017), 23-35. https://doi.org/10.1016/j.engstruct.2017.06.039
  13. Aljazaeri, Z. R., and Al-Jaberi, Z. “Numerical Study on Flexural Behavior of Concrete Beams Strengthened with Fiber Reinforced Cementitious Matrix Considering Different Concrete Compressive Strength and Steel Reinforcement Ratio.” International Journal of Engineering Transactions A: Basics, Vol. 34, No. 4, (2021), 793-802. https://doi.org/10.5829/ije.2021.34.04a.05
  14. Broumand, P., and Khoei, A. R. “X-FEM Modeling of Dynamic Ductile Fracture Problems with a Nonlocal Damage-Viscoplasticity Model.” Finite Elements in Analysis and Design, Vol. 99, No. C, (2015), 49-67. https://doi.org/10.1016/j.finel.2015.01.002
  15. Sadat Hosseini, A., Hajikarimi, P., Fallah Hosseini, S., Aliakbari, A., and Moghadas Nejad, F. “Semi-circular bending setup for predicting fracture characteristics of high-strength fiber-reinforced concrete.” Theoretical and Applied Fracture Mechanics, Vol. 123, (2023), 103729. https://doi.org/https://doi.org/10.1016/j.tafmec.2022.103729
  16. Javanmardi, M. R., and Maheri, M. R. “Extended finite element method and anisotropic damage plasticity for modelling crack propagation in concrete.” Finite Elements in Analysis and Design, Vol. 165, (2019), 1-20. https://doi.org/https://doi.org/10.1016/j.finel.2019.07.004
  17. Belletti, B., Cerioni, R., Meda, A., and Plizzari, G. “Design Aspects on Steel Fiber-Reinforced Concrete Pavements.” Journal of Materials in Civil Engineering, Vol. 20, (2008). https://doi.org/10.1061/(ASCE)0899-1561(2008)20:9(599)
  18. Prisco, M., Dozio, D., and Belletti, B. “On the fracture behaviour of thin-walled SFRC roof elements.” Materials and Structures, Vol. 46, No. 5, (2013), 803-829. https://doi.org/10.1617/s11527-012-9935-x
  19. Ren, X., and Li, J. “Multi-scale based fracture and damage analysis of steel fiber reinforced concrete.” Engineering Failure Analysis, Vol. 35, (2013), 253-261. https://doi.org/10.1016/j.engfailanal.2013.01.029
  20. Zhang, H., Huang, Y., Xu, S., Natarajan, S., and Yao, F. “An explicit methodology of random fibre modelling for FRC fracture using non-conforming meshes and cohesive interface elements.” Composite Structures, Vol. 310, (2023), 116762. https://doi.org/https://doi.org/10.1016/j.compstruct.2023.116762
  21. Rabczuk, T., and Belytschko, T. “Cracking particles: a simplified meshfree method for arbitrary evolving cracks.” International Journal for Numerical Methods in Engineering, Vol. 61, No. 13, (2004), 2316-2343. https://doi.org/https://doi.org/10.1002/nme.1151
  22. Moslemi, H., and Khoei, A. R. “3D adaptive finite element modeling of non-planar curved crack growth using the weighted superconvergent patch recovery method.” Engineering Fracture Mechanics, Vol. 76, No. 11, (2009), 1703-1728. https://doi.org/https://doi.org/10.1016/j.engfracmech.2009.03.013
  23. De Maio, U., Greco, F., Leonetti, L., Nevone Blasi, P., and Pranno, A. “A cohesive fracture model for predicting crack spacing and crack width in reinforced concrete structures.” Engineering Failure Analysis, Vol. 139, (2022), 106452. https://doi.org/https://doi.org/10.1016/j.engfailanal.2022.106452
  24. Kurumatani, M., Soma, Y., and Terada, K. “Simulations of cohesive fracture behavior of reinforced concrete by a fracture-mechanics-based damage model.” Engineering Fracture Mechanics, Vol. 206, (2018). https://doi.org/10.1016/j.engfracmech.2018.12.006
  25. Fallah, N. “A development in the finite volume method for the crack growth analysis without global remeshing.” International Journal of Engineering, Transactions A: Basics, Vol. 29, No. 7, (2016), 898-908. Retrieved from doi: 10.5829/idosi.ije.2016.29.07a.03
  26. Abadel, A., Abbas, H., Almusallam, T., Al-Salloum, Y., and Siddiqui, N. “Mechanical properties of hybrid fibre-reinforced concrete – analytical modelling and experimental behaviour.” Magazine of Concrete Research, Vol. 68, No. 16, (2016), 823-843. https://doi.org/10.1680/jmacr.15.00276
  27. Almusallam, T., Ibrahim, S. M., Al-Salloum, Y., Abadel, A., and Abbas, H. “Analytical and experimental investigations on the fracture behavior of hybrid fiber reinforced concrete.” Cement and Concrete Composites, Vol. 74, (2016), 201-217. https://doi.org/10.1016/j.cemconcomp.2016.10.002
  28. Lubliner, J., Oliver, J., Oller, S., and Oñate, E. “A plastic-damage model for concrete.” International Journal of Solids and Structures, Vol. 25, No. 3, (1989), 299-326. https://doi.org/10.1016/0020-7683(89)90050-4
  29. Lee, J., and Fenves, G. L. “Plastic-Damage Model for Cyclic Loading of Concrete Structures.” Journal of Engineering Mechanics, Vol. 124, No. 8, (1998), 892-900. https://doi.org/10.1061/(asce)0733-9399(1998)124:8(892)
  30. Chi, Y., Xu, L., and Yu, H. sui. “Constitutive modeling of steel-polypropylene hybrid fiber reinforced concrete using a non-associated plasticity and its numerical implementation.” Composite Structures, Vol. 111, No. 1, (2014), 497-509. https://doi.org/10.1016/j.compstruct.2014.01.025
  31. Rousakis, T. C., Karabinis, A. I., Kiousis, P. D., and Tepfers, R. “Analytical modelling of plastic behaviour of uniformly FRP confined concrete members.” Composites Part B: Engineering, Vol. 39, No. 7-8, (2008), 1104-1113. https://doi.org/10.1016/J.COMPOSITESB.2008.05.001
  32. Melenk, J. M., and Babuška, I. “The partition of unity finite element method: Basic theory and applications.” Computer Methods in Applied Mechanics and Engineering, Vol. 139, No. 1-4, (1996), 289-314. https://doi.org/10.1016/S0045-7825(96)01087-0
  33. Moes, N., Dolbow, J., and Belytschko, T. “A Finite Element Method for Crack Growth without Remeshing.” International Journal for Numerical Methods in Engineering, Vol. 46, , (1999), 131-150. https://doi.org/10.1002/(SICI)1097-0207(19990910)46:13.0.CO;2-J