Finite Element Modeling of the behavior of Hybrid-Fiber Reinforced Concrete under Triaxial Compression

Naserifar, Ali

doi:10.61186/NMCE.2312.1039

Finite Element Modeling of the behavior of Hybrid-Fiber Reinforced Concrete under Triaxial Compression

Document Type : Research

Author

Ali Naserifar

Assistant Professor, Faculty of Civil Engineering, Yadegare-e-Imam khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran.

10.61186/NMCE.2312.1039

Abstract

Concrete is the most popular building material in the worldwide. However, its low tensile strength causes cracks to initiate in the low step of loading. Today, fibers of various types are used in concrete mixtures to improve the behavior of it. However, the behavior of fiber reinforced concrete has been studied frequently but a numerical model that can predict the behavior of fiber reinforced concrete well is under research. In this research, the integration algorithm of the structural equations and the implementation of the William-Warnke behavioral model for fiber reinforced concrete are presented. The aforementioned behavioral model is coded and linked to ABQUS software as a subprogram and used in the analysis of boundary value problems. To carry out validation, several real triaxial tests have been simulated and compared with the results of real tests. The results show that the coded model simulates the laboratory behavior of fiber reinforced concrete as well and can be used in modeling real projects.

Keywords

Fiber Reinforced Concrete

Constitutive Model

Tri-axial Behavior

Subjects

Structural Engineering

[1] Mujalli, M. A., Dirar, S., Mushtaha, E., Hussien, A., & Maksoud, A. (2022). Evaluation of the Tensile Characteristics and Bond Behaviour of Steel Fibre-Reinforced Concrete: An Overview. Fibers, 10(12), 104.‏

[2] Nataraja, M. C., Dhang, N., & Gupta, A. P. (1999). Stress–strain curves for steel-fiber reinforced concrete under compression. Cement and concrete composites, 21(5-6), 383-390.‏

[3] Zhang, M. H., Li, L., & Paramasivam, P. (2004). Flexural toughness and impact resistance of steel-fibre-reinforced lightweight concrete. Magazine of concrete research, 56(5), 251-262.‏

[4] Song, P. S., & Hwang, S. (2004). Mechanical properties of high-strength steel fiber-reinforced concrete. Construction and Building Materials, 18(9), 669-673.‏

[5] Brandt, A. M. (2008). Fibre reinforced cement-based (FRC) composites after over 40 years of development in building and civil engineering. Composite structures, 86(1-3), 3-9.‏

[6] Shafei, B., Kazemian, M., Dopko, M., & Najimi, M. (2021). State-of-the-art review of capabilities and limitations of polymer and glass fibers used for fiber-reinforced concrete. Materials, 14(2), 409.‏

[7] Xu, L., Li, B., Chi, Y., Li, C., Huang, B., & Shi, Y. (2018). Stress-strain relation of steel-polypropylene-blended fiber-reinforced concrete under uniaxial cyclic compression. Advances in Materials Science and Engineering, 2018.‏

[8] Cucchiara, C., La Mendola, L., & Papia, M. (2004). Effectiveness of stirrups and steel fibres as shear reinforcement. Cement and concrete composites, 26(7), 777-786.‏

[9] Dancygier, A. N., & Savir, Z. (2006). Flexural behavior of HSFRC with low reinforcement ratios. Engineering structures, 28(11), 1503-1512.

[10] Holschemacher, K., Mueller, T., & Ribakov, Y. (2010). Effect of steel fibers on mechanical properties of high-strength concrete. Materials & Design (1980-2015), 31(5), 2604-2615.

[11] Olivito, R. S., & Zuccarello, F. A. (2010). An experimental study on the tensile strength of steel fiber reinforced concrete. Composites Part B: Engineering, 41(3), 246-255.

[12] Ding, Y., You, Z., & Jalali, S. (2011). The composite effect of steel fibers and stirrups on the shear behavior of beams using self-consolidating concrete. Engineering Structures, 33(1), 107-117.

[13] Negi, B. S., & Jain, K. (2022, May). Shear resistant mechanisms in steel fiber reinforced concrete beams: An analytical investigation. In Structures (Vol. 39, pp. 607-619). Elsevier.

[14] W.-F. Chen, D.-J. Han, Plasticity for structural engineers, J. Ross Publishing, 2007.

[15] Belarbi, A., & Hsu, T. T. (1995). Constitutive laws of softened concrete in biaxial tension compression. Structural Journal, 92(5), 562-573.‏

[16] Ansari, F., & Li, Q. (1998). High-strength concrete subjected to triaxial compression. Materials Journal, 95(6), 747-755.‏

[17] Attard, M. M., & Setunge, S. (1996). Stress-strain relationship of confined and unconfined concrete. Materials Journal, 93(5), 432-442.‏

[18] Hussein, A., & Marzouk, H. (2000). Behavior of high-strength concrete under biaxial stresses. ACI Materials Journal, 97(1), 27-36.‏

[19] Benipal, G. S., & Singh, A. K. (2006). Plasticity-based constitutive model for concrete in stress space. Latin American Journal of Solids and Structures, 417-441.‏

[20] Grassl, P., Lundgren, K., & Gylltoft, K. (2002). Concrete in compression: a plasticity theory with a novel hardening law. International Journal of Solids and Structures, 39(20), 5205-5223.‏

[21] Hammoud, R., Boukhili, R., & Yahia, A. (2013). Unified formulation for a triaxial elastoplastic constitutive law for concrete. Materials, 6(9), 4226-4248.‏

[22] Hsu, L. S., & Hsu, C. T. (1994). Stress-strain behavior of steel-fiber high-strength concrete under compression. Structural Journal, 91(4), 448-457.‏

[23] Murugappan, K., Paramasivam, P., & Tan, K. H. (1993). Failure envelope for steel-fiber concrete under biaxial compression. Journal of materials in civil engineering, 5(4), 436-446.‏

[24] Hu, X. D., Day, R., & Dux, P. (2003). Biaxial failure model for fiber reinforced concrete. Journal of materials in civil engineering, 15(6), 609-615.‏

[25] Chi, Y., Xu, L., & Yu, H. S. (2014). Plasticity model for hybrid fiber-reinforced concrete under true triaxial compression. Journal of Engineering Mechanics, 140(2), 393-405.‏

[26] Tran, T. T., Pham, T. M., Tran, D. T., Ha, N. S., & Hao, H. (2024). Modified plastic damage model for steel fiber reinforced concrete. Structural Concrete.‏

[27] Wang, H., Li, L., & Du, X. (2024). A thermo-mechanical coupling model for concrete including damage evolution. International Journal of Mechanical Sciences, 263, 108761.

[28] Golpasand, G. B., & Farzam, M. (2023). Triaxial behavior of concrete containing recycled fibers-an experimental study. Construction and Building Materials, 406, 133430.

[29] Seow, P. E. C., & Swaddiwudhipong, S. (2005). Failure surface for concrete under multiaxial load—A unified approach. Journal of materials in civil engineering, 17(2), 219-228.‏

[30] Yun, H. D., Yang, I. S., Kim, S. W., Jeon, E., Choi, C. S., & Fukuyama, H. (2007). Mechanical properties of high-performance hybrid-fibre-reinforced cementitious composites (HPHFRCCs). Magazine of Concrete Research, 59(4), 257-271.‏

[31] Di Prisco, M., Plizzari, G., & Vandewalle, L. (2009). Fibre reinforced concrete: new design perspectives. Materials and structures, 42, 1261-1281.‏

[32] K.J. Willam, E.P. Warnke, Constitutive model for the triaxial behaviour of concrete, in: Proc., Seminar on Concrete Structures Subjected to Triaxial Stresses, Int. Association of Bridge and Structural Engineering, Zurich, Switzerland, 1974.

[33] Slater, E., Moni, M., & Alam, M. S. (2012). Predicting the shear strength of steel fiber reinforced concrete beams. Construction and Building Materials, 26(1), 423-436.

[34] Sabetifar, H., & Nematzadeh, M. (2021, December). An evolutionary approach for formulation of ultimate shear strength of steel fiber-reinforced concrete beams using gene expression programming. In Structures (Vol. 34, pp. 4965-4976). Elsevier.

[35] Lu, X., & Hsu, C. T. T. (2006). Behavior of high strength concrete with and without steel fiber reinforcement in triaxial compression. Cement and Concrete Research, 36(9), 1679-1685.

[36] Pantazopoulou, S. J., & Zanganeh, M. (2001). Triaxial tests of fiber-reinforced concrete. Journal of Materials in Civil Engineering, 13(5), 340-348.

[37] Farnam, Y., Moosavi, M., Shekarchi, M., Babanajad, S. K., & Bagherzadeh, A. (2010). Behaviour of slurry infiltrated fiber concrete (SIFCON) under triaxial compression. Cement and concrete research, 40(11), 1571-1581.

[38] Jiang, J. F., Xiao, P. C., & Li, B. B. (2017). True-triaxial compressive behaviour of concrete under passive confinement. Construction and Building Materials, 156, 584-598.

[39] Abbas, Y. M., & Khan, M. I. (2023). Prediction of compressive stress–strain behavior of hybrid steel–polyvinyl-alcohol fiber reinforced concrete response by fuzzy-logic approach. Construction and Building Materials, 379, 131212.

[40] Raza, A., Selmi, A., Arshad, M., Elhadi, K. M., & Alashker, Y. (2024). Tests and modeling of hybrid fiber-reinforced geopolymer concrete elements having BFRP helix: An application for sustainable built environment. Journal of Building Engineering, 82, 108229.

[41] Willam, K. J. (1974). Constitutive model for the triaxial behavior of concrete. In IABSE Seminar on Concrete Structure subjected Triaxial Stresses (pp. 1-30).

[42] Chi, Y. (2012). Plasticity theory based constitutive modelling of hybrid fiber reinforced concrete (Doctoral dissertation, University of Nottingham).

[43] Blanco, A., Pujadas, P., Cavalaro, S., De la Fuente, A., & Aguado, A. (2014). Constitutive model for fiber reinforced concrete based on the Barcelona test. Cement and Concrete Composites, 53, 327-340.

[44] Mihai, I. C., Jefferson, A. D., & Lyons, P. (2016). A plastic-damage constitutive model for the finite element analysis of fiber reinforced concrete. Engineering Fracture Mechanics, 159, 35-62.

[45] Chi, Y., Yu, M., Huang, L., & Xu, L. (2017). Finite element modeling of steel-polypropylene hybrid fiber reinforced concrete using modified concrete damaged plasticity. Engineering Structures, 148, 23-35.

[46] Liang, X., & Wu, C. (2018). Meso-scale modelling of steel fiber reinforced concrete with high strength. Construction and Building Materials, 165, 187-198.

[47] Ribeiro, M. L., Vandepitte, D., & Tita, V. (2013). Damage model and progressive failure analyses for filament wound composite laminates. Applied Composite Materials, 20, 975-992.‏

[48] Chi, Y., Xu, L., & Yu, H. S. (2014). Constitutive modeling of steel-polypropylene hybrid fiber reinforced concrete using a non-associated plasticity and its numerical implementation. Composite Structures, 111, 497-509.

[49] Sloan, S. W., Abbo, A. J., & Sheng, D. (2001). Refined explicit integration of elastoplastic models with automatic error control. Engineering Computations, 18(1/2), 121-194.

[50] Dowell, M., & Jarratt, P. (1972). The “Pegasus” method for computing the root of an equation. BIT Numerical Mathematics, 12, 503-508