A Novel DEM-Subset Simulation Approach for the Behavior and Reliability Calibration of FRP-Reinforced Concrete Beams
Source abstract
Abstract
Fiber-reinforced polymer (FRP) bars are increasingly utilized to replace steel bars in concrete beams because of their chemical resistance, light weight, and high strength. Therefore, this paper develops a computational program based on a branch of discrete element method (DEM), namely, rigid body spring network, and subset simulation to simulate the behavior of FRP-reinforced concrete beams. Moreover, the reliability indices and the resistance reduction factor of FRP-reinforced concrete beams designed by ACI 440.1R-15 and by nonlinear analysis are also evaluated. In the numerical model, the constitutive laws of materials and the uncertainties of numerous random variables are considered. After verifying with results obtained from ACI 440.1R-15 and experiments, it is obvious that the proposed procedure can capture the behavior of FRP-reinforced concrete beams well in terms of load-carrying capacity, crack formation, and failure modes with the mean and CoV of only 1.037 and 0.052, respectively. The results of the study also show that the values of 0.68 and 0.75 corresponding to the target reliability indices of 4.0 and 3.5 can be taken for the design of FRP-reinforced concrete beams by nonlinear analysis.
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Research context
OpenAlex topics: Structural Behavior of Reinforced Concrete · Innovative concrete reinforcement materials · Masonry and Concrete Structural Analysis
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References (62)
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1. Abd El Fattah, A., Al-Duais, I., Riding, K., et al. (2018). Field evaluation of corrosion mitigation on reinforced concrete in marine exposure conditions. Construction and Building Materials, 165, 663–674. https://doi.org/10.1016/j.conbuildmat.2018.01.07710.1016/j.conbuildmat.2018.01.077 ↗
2. Abed, F., Al-Mimar, M., & Ahmed, S. (2021). Performance of BFRP RC beams using high strength concrete. Composites Part c: Open Access, 4, Article 100107. https://doi.org/10.1016/j.jcomc.2021.10010710.1016/j.jcomc.2021.100107 ↗
3. Acciai, A., D’Ambrisi, A., De Stefano, M., et al. (2016). Experimental response of FRP reinforced members without transverse reinforcement: Failure modes and design issues. Composites Part B: Engineering, 89, 397–407. https://doi.org/10.1016/j.compositesb.2016.01.00210.1016/j.compositesb.2016.01.002 ↗
4. ACI440.1R-15. (2015) Guide for the Design and Construction of Structural Concrete Reinforced with Fiber-Reinforced Polymer (FRP) Bars.
5. Adam, M. A., Said, M., Salah, A., et al. (2023). Experimental and analytical study of high performance concrete beams reinforced with Basalt FRP bars. Structures, 55, 510–530. https://doi.org/10.1016/j.istruc.2023.06.06110.1016/j.istruc.2023.06.061 ↗
6. Ahmed, H. Q., Jaf, D. K., & Yaseen, S. A. (2020). Flexural capacity and behaviour of geopolymer concrete beams reinforced with glass fibre-reinforced polymer bars. International Journal of Concrete Structures and Materials, 14(1), Article 14. https://doi.org/10.1186/s40069-019-0389-110.1186/s40069-019-0389-1 ↗
7. Ahmed, M., El-Sayed, A. K., Alhozaimy, A. M., et al. (2024). Prediction of strand corrosion damage in prestressed concrete beams through visual inspection of corrosion concrete cracking. Construction and Building Materials, 416, Article 135232. https://doi.org/10.1016/j.conbuildmat.2024.13523210.1016/j.conbuildmat.2024.135232 ↗
8. Al-Furjan, M. S. H., Shan, L., Shen, X., et al. (2022). A review on fabrication techniques and tensile properties of glass, carbon, and Kevlar fiber reinforced polymer composites. Journal of Materials Research and Technology, 19, 2930–2959. https://doi.org/10.1016/j.jmrt.2022.06.00810.1016/j.jmrt.2022.06.008 ↗
9. Alsayed, S. H. (1998). Flexural behaviour of concrete beams reinforced with GFRP bars. Cement and Concrete Composites, 20(1), 1–11. https://doi.org/10.1016/S0958-9465(97)00061-910.1016/S0958-9465(97)00061-9 ↗
10. Arιoglu E, Arιoglu N and Arιoglu E (1999) Evaluation of the Engineering Properties of the Very High-Strength Concrete (C170) Produced at the Yapι Merkezi Inc.-Turkey. In Proceedings of 5th International Symposium on Utilization of High Strength/High Performance Concrete. Sandefjord, Norway, 981–990.
11. Ashour, A. F. (2006). Flexural and shear capacities of concrete beams reinforced with GFRP bars. Construction and Building Materials, 20(10), 1005–1015. https://doi.org/10.1016/j.conbuildmat.2005.06.02310.1016/j.conbuildmat.2005.06.023 ↗
12. Aurenhammer, F., Klein, R., & Lee, D.-T. (2012). Voronoi diagrams and delaunay triangulations. World Scientific.
13. Bischoff, P. H., & Gross, S. P. (2011). Equivalent moment of inertia based on integration of curvature. Journal of Composites for Construction, 15(3), 263–273. https://doi.org/10.1061/(ASCE)CC.1943-5614.000016410.1061/(ASCE)CC.1943-5614.0000164 ↗
14. ACI318-14.(2014) Building Code Requirements for Structural Concrete.
15. Casolo, S., & Diana, V. (2018). Modelling laminated glass beam failure via stochastic rigid body-spring model and bond-based peridynamics. Engineering Fracture Mechanics, 190, 331–346. https://doi.org/10.1016/j.engfracmech.2017.12.02810.1016/j.engfracmech.2017.12.028 ↗
16. Choobbor, S. S., Hawileh, R. A., Abu-Obeidah, A., et al. (2019). Performance of hybrid carbon and basalt FRP sheets in strengthening concrete beams in flexure. Composite Structures, 227, Article 111337. https://doi.org/10.1016/j.compstruct.2019.11133710.1016/j.compstruct.2019.111337 ↗
17. De, B., Bera, M., Bhattacharjee, D., et al. (2024). A comprehensive review on fiber-reinforced polymer composites: Raw materials to applications, recycling, and waste management. Progress in Materials Science, 146, Article 101326. https://doi.org/10.1016/j.pmatsci.2024.10132610.1016/j.pmatsci.2024.101326 ↗
18. Duic, J., Kenno, S., & Das, S. (2018). Performance of concrete beams reinforced with basalt fibre composite rebar. Construction and Building Materials, 176, 470–481. https://doi.org/10.1016/j.conbuildmat.2018.04.20810.1016/j.conbuildmat.2018.04.208 ↗
19. Eivind Hognestad, N.W.H., & Douglas, M. Concrete stress distribution in ultimate strength design. ACI Journal Proceedings 1955;52(12). https://doi.org/10.14359/11609.10.14359/11609 ↗
20. El-Nemr, A., Ahmed, E. A., El-Safty, A., et al. (2018). Evaluation of the flexural strength and serviceability of concrete beams reinforced with different types of GFRP bars. Engineering Structures, 173, 606–619. https://doi.org/10.1016/j.engstruct.2018.06.08910.1016/j.engstruct.2018.06.089 ↗
21. Escórcio, P., & França, P. M. (2016). Experimental study of a rehabilitation solution that uses GFRP bars to replace the steel bars of reinforced concrete beams. Engineering Structures, 128, 166–183. https://doi.org/10.1016/j.engstruct.2016.09.01310.1016/j.engstruct.2016.09.013 ↗
22. Farah, K. (2010). Analytical investigation on non-linear behavior of RC members strengthened with extremely bonded FRP. Hokkaido University.
23. Ferrier, E., Michel, L., Zuber, B., et al. (2015). Mechanical behaviour of ultra-high-performance short-fibre-reinforced concrete beams with internal fibre reinforced polymer bars. Composites Part B, Engineering, 68, 246–258. https://doi.org/10.1016/j.compositesb.2014.08.00110.1016/j.compositesb.2014.08.001 ↗
24. Fidelis (2025) https://www.fidelisfea.com/post/how-much-does-abaqus-cost-and-what-is-included.
25. Fu, L., Nakamura, H., Chi, S., et al. (2023). Shear strength degradation mechanism dependent on size increase in RC slender beams by using 3D Rigid-Body-Spring-Method. Structures, 48, 989–1002. https://doi.org/10.1016/j.istruc.2023.01.01610.1016/j.istruc.2023.01.016 ↗
26. Gong, F., Wang, Z., Zhou, Y., et al. (2022). Mesoscale simulation of frost damage to rock material based on Rigid Body Spring Method. Cold Regions Science and Technology, 201, Article 103621. https://doi.org/10.1016/j.coldregions.2022.10362110.1016/j.coldregions.2022.103621 ↗
27. Haber, Z.B., De la Varga, I., Graybeal, B.A., et al. (2018). Properties and behavior of UHPC-class materials.
28. He, Z., & Qiu, F. (2011). Probabilistic assessment on flexural capacity of GFRP-reinforced concrete beams designed by guideline ACI 440.1R-06. Construction and Building Materials, 25(4), 1663–1670. https://doi.org/10.1016/j.conbuildmat.2010.10.00510.1016/j.conbuildmat.2010.10.005 ↗
29. Huang, Z., Chen, W., Tran, T. T., et al. (2021). Experimental and numerical study on concrete beams reinforced with Basalt FRP bars under static and impact loads. Composite Structures, 263, Article 113648. https://doi.org/10.1016/j.compstruct.2021.11364810.1016/j.compstruct.2021.113648 ↗
30. Hussein, A., Huang, H., & Wu, Z. (2023). Modelling of long-term performance of RC beams under coupling steel corrosion and bond deterioration. Structures, 57, Article 105159. https://doi.org/10.1016/j.istruc.2023.10515910.1016/j.istruc.2023.105159 ↗
31. Iervolino, I., & Galasso, C. (2012). Comparative assessment of load–resistance factor design of FRP-reinforced cross sections. Construction and Building Materials, 34, 151–161. https://doi.org/10.1016/j.conbuildmat.2012.02.02110.1016/j.conbuildmat.2012.02.021 ↗
32. Kassem, C., Farghaly Ahmed, S., & Benmokrane, B. (2011). Evaluation of flexural behavior and serviceability performance of concrete beams reinforced with FRP bars. Journal of Composites for Construction, 15(5), 682–695. https://doi.org/10.1061/(ASCE)CC.1943-5614.000021610.1061/(ASCE)CC.1943-5614.0000216 ↗
33. Kazemi, M., Madandoust, R., Chastre, C., et al. (2021). Numerical study on the flexural behaviour of normal- and high-strength concrete beams reinforced with GFRP bar, using different amounts of transverse reinforcement. Structures, 34, 3113–3124. https://doi.org/10.1016/j.istruc.2021.09.07710.1016/j.istruc.2021.09.077 ↗
34. Keun-HyeokYang, J.-H.M., Myung-Sug, C., & Kang, T. H. K. (2014). Stress-strain model for various unconfined concretes in compression. ACI Structural Journal. https://doi.org/10.14359/5168663110.14359/51686631 ↗
35. Lin, C.-S., & Scordelis, A. C. (1975). Nonlinear analysis of RC shells of general form. Journal of the Structural Division, 101(3), 523–538. https://doi.org/10.1061/JSDEAG.000400510.1061/JSDEAG.0004005 ↗
36. Liu, Y., Wu, T., Liu, X., et al. (2024). Bending performance of lightweight aggregate concrete beam subjected to reinforcement corrosion: Experimental and numerical study. Structures, 67, Article 107054. https://doi.org/10.1016/j.istruc.2024.10705410.1016/j.istruc.2024.107054 ↗
37. Lu, Y., Huang, L., Zhang, X., et al. (2025). Modeling of non-grouted interlocking brick masonry using rigid-body-spring model. Engineering Structures, 331, Article 119971. https://doi.org/10.1016/j.engstruct.2025.11997110.1016/j.engstruct.2025.119971 ↗
38. Masoud Hassanzadeh, A., Dehestani, M., & Nazarpour, H. (2023). Reliability analysis of flexural provisions of FRP-RC beams and sensitivity analysis based on FORM. Engineering Structures, 285, Article 116037. https://doi.org/10.1016/j.engstruct.2023.11603710.1016/j.engstruct.2023.116037 ↗
39. Moodi, Y., Sohrabi, M. R., & Mousavi, S. R. (2021). Corrosion effect of the main rebar and stirrups on the bond strength of RC beams. Structures, 32, 1444–1454. https://doi.org/10.1016/j.istruc.2021.03.09610.1016/j.istruc.2021.03.096 ↗
40. Mostafa, O. M., Rahman, M. K., Al-Zahrani, M. M., et al. (2023). Flexural behavior and bond coefficient of BFRP bar reinforced normal and high strength concrete beams. Construction and Building Materials, 401, Article 132896. https://doi.org/10.1016/j.conbuildmat.2023.13289610.1016/j.conbuildmat.2023.132896 ↗
41. Muhammad, M. A., & Ahmed, F. R. (2023). Evaluation of deflection and flexural performance of reinforced concrete beams with glass fiber reinforced polymer bars. Case Studies in Construction Materials, 18, Article e01855. https://doi.org/10.1016/j.cscm.2023.e0185510.1016/j.cscm.2023.e01855 ↗
42. Nassif, M. K., Erfan, A. M., Fadel, O. T., et al. (2021). Flexural behavior of high strength concrete deep beams reinforced with GFRP bars. Case Studies in Construction Materials, 15, Article e00613. https://doi.org/10.1016/j.cscm.2021.e0061310.1016/j.cscm.2021.e00613 ↗
43. Park, R., & Paulay, T. (1991). Reinforced concrete structures. Wiley.
44. Popovics, S. (1973). A numerical approach to the complete stress-strain curve of concrete. Cement and Concrete Research, 3(5), 583–599. https://doi.org/10.1016/0008-8846(73)90096-310.1016/0008-8846(73)90096-3 ↗
45. Qin, R., Zhou, A., & Lau, D. (2017). Effect of reinforcement ratio on the flexural performance of hybrid FRP reinforced concrete beams. Composites Part B: Engineering, 108, 200–209. https://doi.org/10.1016/j.compositesb.2016.09.05410.1016/j.compositesb.2016.09.054 ↗
46. Ribeiro, S. E. C., & Diniz, S. M. C. (2013). Reliability-based design recommendations for FRP-reinforced concrete beams. Engineering Structures, 52, 273–283. https://doi.org/10.1016/j.engstruct.2013.02.02610.1016/j.engstruct.2013.02.026 ↗
47. Saleh, Z., Sheikh, M. N., Remennikov, A. M., et al. (2019). Numerical investigations on the flexural behavior of GFRP-RC beams under monotonic loads. Structures, 20, 255–267. https://doi.org/10.1016/j.istruc.2019.04.00410.1016/j.istruc.2019.04.004 ↗
48. Sanez, L. (1964). Discussion of equation for the stress-strain curve of concrete’by Desayi and Krishnan.
49. Sarhan, M. M., & Al-Zwainy, F. M. S. (2022). Analytical investigations of concrete beams reinforced with FRP bars under static loads. Structures, 44, 152–158. https://doi.org/10.1016/j.istruc.2022.07.07510.1016/j.istruc.2022.07.075 ↗
50. Sharifi Ghalehnoei, M., & Noormohammadi, N. (2025). Finite element investigation of the flexural performance of RC beams with various dimensions strengthened using prestressed CFRP sheets. International Journal of Concrete Structures and Materials, 19(1), Article 93. https://doi.org/10.1186/s40069-025-00839-410.1186/s40069-025-00839-4 ↗
51. Subramanian, N., Solaiyan, E., Sendrayaperumal, A., et al. (2022). Flexural behaviour of geopolymer concrete beams reinforced with BFRP and GFRP polymer composites. Advances in Structural Engineering, 25(5), 954–965. https://doi.org/10.1177/1369433221105422910.1177/13694332211054229 ↗
52. Toutanji, H., & Deng, Y. (2003). Deflection and crack-width prediction of concrete beams reinforced with glass FRP rods. Construction and Building Materials, 17(1), 69–74. https://doi.org/10.1016/S0950-0618(02)00094-610.1016/S0950-0618(02)00094-6 ↗
53. Tran, H., & Nguyen-Thoi, T. (2025). Flexural behavior of beams reinforced with FRP bars: Test database, design guideline assessment, and reliability evaluation. Buildings. https://doi.org/10.3390/buildings1518337310.3390/buildings15183373 ↗
54. Tran, H., Nguyen-Thoi, T., & Dinh, H.-B. (2025). State-of-the-art review of studies on the flexural behavior and design of FRP-reinforced concrete beams. Materials. https://doi.org/10.3390/ma1814329510.3390/ma18143295 ↗
55. Vendr. (2025). https://www.vendr.com/buyer-guides/ansys.
56. Wang, Z., Xie, J., Li, J., et al. (2022). Flexural behaviour of seawater–sea sand concrete beams reinforced with GFRP bars: Effects of the reinforcement ratio, stirrup ratio, shear span ratio and prestress level. Journal of Building Engineering, 54, Article 104566. https://doi.org/10.1016/j.jobe.2022.10456610.1016/j.jobe.2022.104566 ↗
57. Wu, M.H.Q. (2010). Tension stiffening in reinforced concrete-instantaneous and time-dependent behaviour. UNSW Sydney.
58. Yapar, O., Basu, P. K., & Nordendale, N. (2015). Accurate finite element modeling of pretensioned prestressed concrete beams. Engineering Structures, 101, 163–178. https://doi.org/10.1016/j.engstruct.2015.07.01810.1016/j.engstruct.2015.07.018 ↗
59. Yoo, D.-Y., Banthia, N., & Yoon, Y.-S. (2016). Flexural behavior of ultra-high-performance fiber-reinforced concrete beams reinforced with GFRP and steel rebars. Engineering Structures, 111, 246–262. https://doi.org/10.1016/j.engstruct.2015.12.00310.1016/j.engstruct.2015.12.003 ↗
60. Youssef, M. A., & Moftah, M. (2007). General stress–strain relationship for concrete at elevated temperatures. Engineering Structures, 29(10), 2618–2634. https://doi.org/10.1016/j.engstruct.2007.01.00210.1016/j.engstruct.2007.01.002 ↗
61. Zhang, B., Zhu, H., Xiong, T., et al. (2024). Flexural behavior of FRP bars reinforced seawater coral aggregate concrete beams incorporating alkali-activated materials. Materials and Structures, 57(2), Article 26. https://doi.org/10.1617/s11527-024-02298-x10.1617/s11527-024-02298-x ↗
62. Zou, Y., Ji, Y., & Li, W. (2024). Research on the durability of FRP-bonded concrete beams subjected to a performance probabilistic design method. Materials and Structures, 57(2), Article 30. https://doi.org/10.1617/s11527-024-02304-210.1617/s11527-024-02304-2 ↗