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Numerical study of the effect of fatigue on impact performance of RC beams

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Abstract

Some existing concrete structures not only face threats of possible explosions and impact, but also suffer from long-term fatigue loads induced by traffic or vibration of machines. Researchers have conducted extensive investigations on concrete structures against highly dynamic load, e.g., blast or impact. However, the fatigue damage and performance deterioration of flexural members due to long-term cyclic loads throughout the service life have not been considered in the analysis of structures against highly dynamic loads. Studies have proven that fatigue damage resulted in degradation of concrete strength and modulus of elasticity (MoE), as well as a reduction in the strength of steel bars. The deteriorated materials caused a reduction in the residual capacity and stiffness of reinforced concrete (RC) structures under quasi-static loads. Therefore, ignoring the effect of fatigue may result in an overestimation of the performance of existing structures against blast or impact loads. This study numerically investigates the effect of fatigue on the impact performance of RC beams. The grid section method (GSM) is proposed to simulate RC beams with fatigue damage. The GSM is applied to divide the RC beam into compressive and tensile zones and assign deteriorated strength and MoE of concrete to corresponding zones according to the stress level. Numerical models of the RC beam with fatigue damage are established using LS-DYNA and validated against experimental results. The effect of different factors, including fatigue cycles, reinforcement ratio, concrete strength, and impact energy, on the impact behavior of RC beams is examined. Based on the results, the correction method is proposed to take into consideration of the fatigue damage in the estimation of RC beams against highly dynamic load.

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References

  1. Khoshkenari A G, Shafigh P, Moghimi M, et al. The role of 0–2 mm fine recycled concrete aggregate on the compressive and splitting tensile strengths of recycled concrete aggregate concrete. Mater Des, 2014, 64: 345–354

    Article  Google Scholar 

  2. Yi W J, Zhao D B, Kunnath S K. Simplified approach for assessing shear resistance of reinforced concrete beams under impact loads. Aci Struct J, 2016, 4: 747–756

    Google Scholar 

  3. Zhou X, Zhang R, Xiong R, et al. An experimental study of the impact mechanical properties of RC beams following replacements of stainless steel reinforcements of equal strength. Adv Mater Sci Eng, 2019, 2019: 1–16

    Google Scholar 

  4. Jin L, Zhang R, Dou G, et al. Experimental and numerical study of reinforced concrete beams with steel fibers subjected to impact loading. Int J Damage Mech, 2018, 27: 1058–1083

    Article  Google Scholar 

  5. Pham T M, Chen W, Elchalakani M, et al. Experimental investigation on lightweight rubberized concrete beams strengthened with BFRP sheets subjected to impact loads. Eng Struct, 2020, 205: 110095

    Article  Google Scholar 

  6. Hao H, Tran T T, Li H, et al. On the accuracy, reliability and controllability of impact tests of RC beams. Int J Impact Eng, 2021, 157: 103979

    Article  Google Scholar 

  7. Pham T M, Chen W, Elchalakani M, et al. Sensitivity of lateral impact response of RC columns reinforced with GFRP bars and stirrups to concrete strength and reinforcement ratio. Eng Struct, 2021, 242: 112512

    Article  Google Scholar 

  8. Xu X Z, Ma T B, Wang Z H. A theoretical model of rigid projectile perforation of concrete slabs using the energy method. Sci China Tech Sci, 2018, 61: 699–710

    Article  Google Scholar 

  9. Huang D, Wang T, Shahawy M. Impact studies of multigirder concrete bridges. J Struct Eng, 1993, 119: 2387–2402

    Article  Google Scholar 

  10. US Department of Defense. Unified facilities criteria (UFC) 3-340-02. Structures to resist the effects of accidental explosions, 2008

  11. Su Q, Wu H, Sun H S, et al. Experimental and numerical studies on dynamic behavior of reinforced UHPC panel under medium-range explosions. Int J Impact Eng, 2021, 148: 103761

    Article  Google Scholar 

  12. Hao Y, Hao H. Influence of the concrete DIF model on the numerical predictions of RC wall responses to blast loadings. Eng Struct, 2014, 73: 24–38

    Article  Google Scholar 

  13. Albertini C, Cadoni E, Labibes K. Study of the mechanical properties of plain concrete under dynamic loading. Exp Mech, 1999, 39: 137–141

    Article  Google Scholar 

  14. Zineddin M, Krauthammer T. Dynamic response and behavior of reinforced concrete slabs under impact loading. Int J Impact Eng, 2007, 34: 1517–1534

    Article  Google Scholar 

  15. Song Y P. Dynamic Constitutive Relations and Failure Criteria of Concrete (in Chinese). Beijing: Science Press, 2012

    Google Scholar 

  16. Tavakoli H R, Mahmoudi S, Goltabar A R, et al. Experimental evaluation of the effects of reverse cyclic loading rate on the mechanical behavior of reinforced SCC beams. Constr Build Mater, 2017, 131: 254–266

    Article  Google Scholar 

  17. Zhang B, Wu K. Residual fatigue strength and stiffness of ordinary concrete under bending. Cement Concrete Res, 1997, 27: 115–126

    Article  Google Scholar 

  18. Baluch M H, Al-Gadhib A H, Khan A R, et al. CDM Model for residual strength of concrete under cyclic compression. Cement Concrete Compos, 2003, 25: 503–512

    Article  Google Scholar 

  19. Holmen J O. Fatigue of concrete by constant and variable amplitude loading. ACI Spec Publ, 1982, 71–110

  20. Gao D, Gu Z, Zhu H, et al. Fatigue behavior assessment for steel fiber reinforced concrete beams through experiment and fatigue prediction model. Structures, 2020, 27: 1105–1117

    Article  Google Scholar 

  21. Banjara N K, Ramanjaneyulu K. Investigations on behaviour of flexural deficient and CFRP strengthened reinforced concrete beams under static and fatigue loading. Construction Building Mater, 2019, 201: 746–762

    Article  Google Scholar 

  22. Liu F, Zhou J, Yan L. Study of stiffness and bearing capacity degradation of reinforced concrete beams under constant-amplitude fatigue. PLoS ONE, 2018, 13: e0192797

    Article  Google Scholar 

  23. Li L, Hou B, Lu Z, et al. Fatigue behaviour of sea sand concrete beams reinforced with basalt fibre-reinforced polymer bars. Construction Building Mater, 2018, 179: 160–171

    Article  Google Scholar 

  24. Zhu J S, Zhu X C. Study on simplified method for the analysis of fatigue failure process of RC bridges. Eng Mech, 2012, 29: 107–114

    Google Scholar 

  25. Song L, Cui C, Liu J, et al. Corrosion-fatigue life assessment of RC plate girder in heavy-haul railway under combined carbonation and train loads. Int J Fatigue, 2021, 151: 106368

    Article  Google Scholar 

  26. Meng X, Khoso S A, Lyu F, et al. Study on the influence and mechanism of sodium chlorate on COD reduction of minerals processing wastewater. Miner Eng, 2019, 134: 1–6

    Article  Google Scholar 

  27. Teles D V C, Oliveira M C, Amorim D L N F. A simplified lumped damage model for reinforced concrete beams under impact loads. Eng Struct, 2020, 205: 110070

    Article  Google Scholar 

  28. Li H, Chen W, Pham T M, et al. Analytical and numerical studies on impact force profile of RC beam under drop weight impact. Int J Impact Eng, 2021, 147: 103743

    Article  Google Scholar 

  29. Hao H, Hao Y, Li J, et al. Review of the current practices in blast-resistant analysis and design of concrete structures. Adv Struct Eng, 2016, 19: 1193–1223

    Article  Google Scholar 

  30. Kachkouch F Z, Noberto C C, de Albuquerque Lima Babadopulos L F, et al. Fatigue behavior of concrete: A literature review on the main relevant parameters. Construction Building Mater, 2022, 338: 127510

    Article  Google Scholar 

  31. Zeng Z B, Li Z R. Fatigue study of the S-N curve of reinforced bars for ordinary concrete beams. China Civil Eng J, 1999, 5: 10–14

    Google Scholar 

  32. Tong L, Liu B, Zhao X L. Numerical study of fatigue behaviour of steel reinforced concrete (SRC) beams. Eng Fract Mech, 2017, 178: 477–496

    Article  Google Scholar 

  33. Zhang B, Phillips D V, Wu K. Effects of loading frequency and stress reversal on fatigue life of plain concrete. Mag Concrete Res, 1996, 48: 361–375

    Article  Google Scholar 

  34. Kachanov L M. On the rupture time under the condition of creep. Izv Akad Nauk SSSR, Otd. Tekh Nauk, 1958, 26

  35. Gilormini P, Licht C, Suquet P. Growth of voids in a ductile matrix: A review. Arch Mech, 1988, 1: 43–80

    Google Scholar 

  36. GB50010-2010. Code for design of concrete structures. National Standard of the People’s Republic of China, Beijing: China Building Industry Press, 2010

    Google Scholar 

  37. Cornelissen H A W, Reinhardt H W. Fracture control of engineering structures. In: Proceedings of the Europe Conference on Fracture. Amsterdam, 1987

  38. Pham T M, Hao H. Effect of the plastic hinge and boundary conditions on the impact behavior of reinforced concrete beams. Int J Impact Eng, 2017, 102: 74–85

    Article  Google Scholar 

  39. Shi Y, Hao H, Li Z X. Numerical derivation of pressure-impulse diagrams for prediction of RC column damage to blast loads. Int J Impact Eng, 2008, 35: 1213–1227

    Article  Google Scholar 

  40. Fan W, Xu X, Zhang Z, et al. Performance and sensitivity analysis of UHPFRC-strengthened bridge columns subjected to vehicle collisions. Eng Struct, 2018, 173: 251–268

    Article  Google Scholar 

  41. Malvar L J. Review of static and dynamic properties of steel reinforcing bars. Materials J, 1998, 5: 609–616

    Google Scholar 

  42. El-Tawil S, Ogunc C, Okeil A, et al. Static and fatigue analyses of RC beams strengthened with CFRP laminates. J Compos Constr, 2001, 5: 258–267

    Article  Google Scholar 

  43. Nayal R, Rasheed H A. Tension stiffening model for concrete beams reinforced with steel and FRP bars. J Mater Civ Eng, 2006, 18: 831–841

    Article  Google Scholar 

  44. Xu J, Zhu P, Ma Z J, et al. Fatigue flexural analysis of concrete beams reinforced with hybrid GFRP and steel bars. Eng Struct, 2019, 199: 109635

    Article  Google Scholar 

  45. Zheng A, Zong S, Lu Y, et al. Fatigue performance of corrosion-damaged beams strengthened with FRP grid-reinforced ECC matrix composites. Eng Struct, 2022, 255: 113938

    Article  Google Scholar 

  46. Gao D, Gu Z, Tang J, et al. Fatigue performance and stress range modeling of SFRC beams with high-strength steel bars. Eng Struct, 2020, 216: 110706

    Article  Google Scholar 

  47. Pham T M, Hao H. Behavior offiber-reinforced polymer-strengthened reinforced concrete beams under static and impact loads. Int J Protective Struct, 2017, 8: 3–24

    Article  Google Scholar 

  48. Gao D, Gu Z, Wu C. Bending behavior and deflection prediction of high-strength SFRC beams under fatigue loading. J Mater Res Tech, 2020, 9: 6143–6159

    Article  Google Scholar 

  49. Schläfli M, Brühwiler E. Fatigue of existing reinforced concrete bridge deck slabs. Eng Struct, 1998, 20: 991–998

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Civil Engineering, Tianjin University, Tianjin, 300350, China

    Jie Li, ChunYuan Liu & DanDan Xiao

  2. Tianjin Key Laboratory of Prefabricated Buildings and Intelligent Construction, Hebei University of Technology, Tianjin, 300401, China

    YiFei Hao

Authors
  1. Jie Li
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  2. YiFei Hao
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  3. ChunYuan Liu
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  4. DanDan Xiao
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Corresponding authors

Correspondence to YiFei Hao or ChunYuan Liu.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51908188, 51938011) and the Natural Science Foundation of Hebei Province (Grant No. E2020402079).

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Li, J., Hao, Y., Liu, C. et al. Numerical study of the effect of fatigue on impact performance of RC beams. Sci. China Technol. Sci. 66, 346–362 (2023). https://doi.org/10.1007/s11431-022-2189-9

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  • DOI: https://doi.org/10.1007/s11431-022-2189-9

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