Abstract
Reinforcing steel bars play a crucial role in reinforced concrete constructions. To comprehend the behavior of reinforced concrete structures under extreme conditions like impact and blast, it is imperative to investigate the influence of strain rate on reinforcing steel bars. This study aims to investigate the performance of 550D reinforcing steel bars with diameters of 8 and 10 mm under high-strain-rate loading conditions. The experiments were conducted using a Split Hopkinson Pressure Bar setup to analyze the tensile and compressive behavior of the reinforcing steel bars at high strain rates. Precise calibration of both compressive and tensile Split Hopkinson Pressure Bars was carried out to ensure the dynamic equilibrium of the propagating waves within the specimen. Specimens featuring a 3 mm gauge diameter were utilized for dynamic tension, whereas specimens with l/d ratios of 0.5 and 1.0 were employed for dynamic compression at various strain rates. Stress–strain curves for the reinforcing steel bars were plotted at different strain rates, and the strain rate sensitivity was analyzed. High-speed photography was used to examine the deformation of samples under compression at high strain rates. It was observed that the percentage of elongation was higher for l/d 0.5 compared to l/d 1.0 at nearly the same strain rate. The research further assessed the Cowper–Symonds and Johnson–Cook constitutive models for tension and compression at high strain rates, providing an accurate prediction of the true stress–strain relationship. The derived strain rate parameters indicated that both 8- and 10-mm reinforcing steel bars exhibited similar behavior under dynamic tension. However, the 10-mm reinforcing steel under dynamic compression demonstrated higher values than the 8-mm reinforcing steel. These findings offer potential applications in exploring the dynamic characteristics of similar reinforcing steels and their corresponding structural components in future investigations.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig7_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig8_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig9_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig10_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig11_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig12_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig13_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig14_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig15_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11665-024-09615-z/MediaObjects/11665_2024_9615_Fig16_HTML.png)
Similar content being viewed by others
References
L.J. Malvar, Review of Static and Dynamic Properties of Steel Reinforcing Bars, ACI Mater. J., 1998, 95, p 609–616.
D. Asprone, E. Cadoni, and A. Prota, Tensile High Strain-Rate Behavior of Reinforcing Steel from an Existing Bridge, ACI Struct. J., 2009, 106, p 523–529.
E. Cadoni and D. Forni, Mechanical Behaviour of B500A Rebars: Effect of Elevated Temperature and High Strain-Rate, Fire Saf. J., 2021, 122, p 103321.
E. Cadoni and D. Forni, Mechanical Behaviour of a Very-High Strength Steel (S960QL) Under Extreme Conditions of High Strain Rates and Elevated Temperatures, Fire Saf. J., 2019, 109, p 102869.
E. Cadoni, M. Fontana, D. Forni, and M. Knobloch, High Strain Rates Testing and Constitutive Modeling of B500B Reinforcing Steel at Elevated Temperatures, Eur. Phys. J. Spcl. Top., 2018, 227, p 179–199.
E. Cadoni, M. Dotta, D. Formi, and N. Tesio, High Strain Rate Behaviour in Tension of Steel B500A Reinforcing Bar, Mater. Struct., 2015, 48, p 1803–1813.
E. Cadoni, M. Dotta, D. Forni, N. Tesio, and C. Alertini, Mechanical Behaviour of Quenched and Self-Tempered Reinforcing Steel in Tension Under High Strain Rate, Mater. Des., 2013, 49, p 657–666.
N.K. Singh, E. Cadoni, M.K. Singha, and N.K. Gupta, Dynamic Tensile and Compressive Behaviors of Mild Steel at Wide Range of Strain Rates, J. Eng. Mech., 2013, 139, p 1197–1206.
E. Cadoni, L. Fenu, and D. Forni, Strain Rate Behaviour in Tension of Austenitic Stainless Steel Used for Reinforcing Bars, Constr. Build. Mater., 2012, 35, p 399–407.
N.K. Singh, E. Cadoni, M.K. Singha, and N.K. Gupta, Dynamic Tensile Behavior of Multi Phase High Yield Strength Steel, Mater. Des., 2011, 32, p 5091–5098.
N.K. Singh, E. Cadoni, M.K. Singha, and N.K. Gupta, Mechanical Behavior of Advanced High Strength Steel at High Strain Rates, Appl. Mech. Mater., 2011, 82, p 178–183.
D. Forni, B. Chiaia, and E. Cadoni, Strain Rate Behaviour in Tension of S355 Steel: Base for Progressive Collapse Analysis, Eng. Struct., 2016, 119, p 164–173.
F. Lin, Y. Dong, X. Kuang, and L. Lu, Strain Rate Behavior in Tension of Reinforcing Steels HPB235, HRB335, HRB400, and HRB500, Materials, 2016, 9, p 1013.
X. Zeng, Z. Wang, and J. Huo, Tensile Behavior of 400 MPa Grade Anti-Earthquake Hot-Rolled Ribbed Bar (HRB400E) Over a Wide Strain Rate Range, Constr. Build. Mater., 2020, 249, p 118729.
X. Zeng, J. Huo, H. Wang, Z. Wang, and M. Elchalakani, Dynamic Tensile Behavior of Steel HRB500E Reinforcing Bar at Low, Medium, and High Strain Rates, Materials, 2020, 13, p 185.
X. Zeng and J. Huo, Rate-Dependent Constitutive Model of High-Strength Reinforcing Steel HTRB600E in Tension, Constr. Build. Mater., 2023, 363, p 129824.
T. Bhujangrao, C. Froustey, E. Iriondo, F. Veiga, P. Darnis, and F.G. Mata, Review of Intermediate Strain Rate Testing Devices, Metals, 2020, 10, p 894.
M. Sun and J.A. Packer, High Strain Rate Behaviour of Cold-Formed Rectangular Hollow Sections, Eng. Struct., 2014, 62–63, p 181–192.
G.R. Cowper and P.S. Symonds, Strain-Hardening and Strain-Rate Effects in the Impact Loading of Cantilever Beams (1957).
R. Johnson and W.K. Cook, A Constitutive Model and Data for Metals Subjected to Large Strains High Strain Rates and High Temperatures. In: Proceedings 7th International Symposium on Ballistics (1983) 541–547.
F.J. Zerilli and R.W. Armstrong, Dislocation-Mechanics-Based Constitutive Relations for Material Dynamics Calculations, J. Appl. Phys., 1987, 61, p 1816–1825.
J.H. Sung, J.H. Kim, and R. Wagoner, A Plastic Constitutive Equation Incorporating Strain, Strain-Rate, and Temperature, Int. J. Plast, 2010, 26, p 1746–1771.
W. Li and H. Chen, Tensile Performance of Normal and High-Strength Structural Steels at High Strain Rates, Thin-Walled Struct., 2023, 184, p 110457.
H. Li, F.H. Li, R. Zhang, and X.D. Zhi, High Strain Rate Experiments and Constitutive Model for Q390D Steel, J. Constr. Steel Res., 2023, 206, p 107933.
X. Liu, Z. He, J. Ye, L. Yan, S. Li, and Y. Tang, Study on Dynamic Mechanical Behavior of Q460JSC and HQ600 High Strength Steel, J. Constr. Steel Res., 2020, 173, p 106232.
X. Yang, H. Yang, Z. Lai, and S. Zhang, Dynamic Tensile Behavior of S690 High-Strength Structural Steel at Intermediate Strain Rates, J. Constr. Steel Res., 2020, 168, p 105961.
Y. Zhu, H. Yang, and S. Zhang, Dynamic Mechanical Behavior and Constitutive Models of S890 High-Strength Steel at Intermediate and High Strain Rates, J. Mater. Eng. Perform., 2020, 29, p 6727–6739.
X. Yang, H. Yang, and S. Zhang, Rate-Dependent Constitutive Models of S690 High-Strength Structural Steel, Constr. Build. Mater., 2019, 198, p 597–607.
H. Yang, X. Yang, A.H. Varma, and Y. Zhu, Strain-Rate Effect and Constitutive Models for Q550 High-Strength Structural Steel, J. Mater. Eng. Perform., 2019, 28, p 6626–6637.
H. Qian, D. Yan, S. Chen, G. Chen, Y. Tian, and G. Chen, Effect of High Temperature Exposure and Strain Rate on Mechanical Properties of High-Strength Steel Rebars, J. Mater. Civ. Eng., 2019, 31, p 04019261.
A.A. Alabi, P.L. Moore, L.C. Wrobel, J.C. Campbell, and W. He, Tensile Behaviour of S690QL and S960QL Under High Strain Rate, J. Constr. Steel Res., 2018, 150, p 570–580.
L. Huang, X.X. Wang, C. Zhang, L. Choe, and M. Engelhardt, High Temperature Mechanical Properties of High Strength Structural Steels Q550, Q690 and Q890, Fire Technol., 2018, 54, p 1609–1628.
J. Chen, W. Shu, and J. Li, Constitutive Model of Q345 Steel at Different Intermediate Strain Rates, Int. J. Steel Struct., 2017, 17, p 127–137.
J. Chen, J. Li, and Z. Li, Experiment Research on Rate-Dependent Constitutive Model of Q420 Steel, Constr. Build. Mater., 2017, 153, p 816–823.
X. Yun and L. Gardner, Stress-Strain Curves for Hot-Rolled Steels, J. Constr. Steel Res., 2017, 133, p 36–46.
W. Chen and B. Song, Split Hopkinson (Kolsky) Bar Design, Testing and Applications, Springer, New York, 2011.
H. Kolsky, An Investigation of the Mechanical Properties of Materials at Very High Rates of Loading, Proc. Phys. Soc., 1949, 62, p 676.
A. Kumar and M.A. Iqbal, Numerical Investigation of Tensile and Compressive Behavior of Mild Steel Subjected to High Strain Rate, Int. J. Struct. Stab. Dyn., 2023 https://doi.org/10.1142/S021945542440011X
M.M. Khan and M.A. Iqbal, Design, Development, and Calibration of Split Hopkinson Pressure Bar System for Dynamic Material Characterization of Concrete, Int. J. Prot. Struct., 2023 https://doi.org/10.1177/20414196231155947
M.M. Khan, A. Kumar, and M.A. Iqbal, Development of Tensile Split Hopkinson Pressure Bar Technique for Studying the Dynamic Behaviour of Metals, Mech. Solids, 2023 https://doi.org/10.3103/S0025654423601568
D. Mohr and G. Gary, M-shaped Specimen for the High-Strain Rate Tensile Testing Using a Split Hopkinson Pressure Bar Apparatus, Exp. Mech., 2007, 47(5), p 681–692.
T. Nicholas, Tensile Testing of Materials at High Rates of Strain, Exp. Mech., 1981, 21, p 177–185.
U.Y. Lindholm, High Strain-rate Testing: Tension and Compression, Exp. Mech., 1968, 8, p 1–9.
E.D.H. Davies and S.C. Hunter, The Dynamic Compression Testing of Solids by the Method of the split Hopkinson Pressure Bar, J. Mech. Phys. Solids, 1963, 11, p 155–179.
P. Bridgman, The Stress Distribution at the Neck of a Tension Specimen, Trans. ASME, 1944, 32(1944), p 553–574.
P. Bridgman, Studies in Large Plastic Flow and Fracture, 2nd ed. Harvard University Press, Harvard, 1964.
O.S. Hopperstad, T. Borvik, M. Langseth, K. Labibes, and C. Albertini, On the Influence of Stress Triaxiality and Strain Rate on the Behavior of Structural Steel. Part I. Experiments, Eur. J. Mech. A. Solids, 2003, 22, p 1–13.
M.A. Iqbal, K. Senthil, P. Sharma, and N.K. Gupta, An Investigation of the Constitutive Behavior of Armox 500T Steel and Armor Piercing Incendiary Projectile Material, Int. J. Impact Eng, 2016, 96, p 146–164.
M.A. Iqbal, K. Senthil, P. Bhargava, and N.K. Gupta, The Characterization and Ballistic Evaluation of Mild Steel, Int. J. Impact Eng, 2015, 78, p 98–113.
R.D. Thomson and J.W. Hancock, Ductile Failure by Void Nucleation, Growth and Coalescence, Int. J. Fract., 1984, 26, p 99112.
J.W. Hancock and A.C. Mackenzie, On the Mechanisms of Ductile Failure in High Strength Steels Subjected to Multi-Axial Stress-States, J. Mech. Phys. Solids, 1976, 24, p 147–160.
G.R. Johnson and W.H. Cook, Fracture Characteristics of Three Metals Subjected to Various Strain Rates, Temperatures, and Pressures, Eng. Fract. Mech., 1985, 21, p 31–48.
Acknowledgments
The authors gratefully acknowledge the experimental facility provided by the Indian Institute of Technology Roorkee, India, and the financial assistance provided by the Atomic Energy Regulatory Board (AERB), Government of India.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Kumar, A., Iqbal, M.A. Material Characterization of 550D Reinforcing Steel Bar at High Strain Rates. J. of Materi Eng and Perform (2024). https://doi.org/10.1007/s11665-024-09615-z
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11665-024-09615-z