Title:
Numerical Model for Flexural Behavior of Reinforced Concrete Members Subjected to Low-Velocity Impact Loads
Author(s):
Hyeon-Jong Hwang, Thomas H.-K. Kang, and Chang-Soo Kim
Publication:
Structural Journal
Volume:
116
Issue:
2
Appears on pages(s):
65-76
Keywords:
beam(s); flexural failure; impact energy; impact-resistant design; maximum deflection; reinforced concrete
DOI:
10.14359/51711136
Date:
3/1/2019
Abstract:
Maximum deflection of simply supported reinforced concrete (RC) beams is used as a performance index for impact-resistant design. To investigate the maximum deflection of flexure-dominant RC beams subject to the impact of heavy-mass, low-velocity projectiles, a nonlinear numerical analysis was performed. In the analysis, the strain rate effect of concrete and reinforcing bars, the confinement effect of stirrups on concrete, and the spalling effect of cover concrete were considered as improvement from previous models. Based on the analysis results, the relationship between the impact energy and deflection of flexure-dominant RC beams was proposed and used to estimate the deformation energy and maximum deflection when subjected to low-velocity impact, eliminating the use of complicated dynamic analysis. In this study, prior data from 16 static and 95 dynamic RC beam specimens that showed flexure failure at high strain rates were collected and used for model verification. Finally, the performance-based design requirements to prevent the strength degradation due to cover concrete spalling of RC beams under impact loading are discussed. The parametric study based on the performance-based design requirements shows that the impact resistance of RC beams increases with the decrease of the hammer mass-to-RC beam mass ratio and the increase of the tension bar ratio and concrete strength.
Related References:
1. Li, J.; Wu, C.; Hao, H.; Su, Y.; and Liu, Z., “Blast Resistance of Concrete Slab Reinforced with High Performance Fibre Material,” Journal of Structural Integrity and Maintenance, V. 1, No. 2, 2016, pp. 51-59. doi: 10.1080/24705314.2016.1179496
2. Kim, S.; Kang, T. H.-K.; and Yun, H.-D., “Evaluation of Impact Resistance of Steel Fiber-Reinforced Concrete Panels Using Design Equations,” ACI Structural Journal, V. 114, No. 4, July-Aug. 2017, pp. 911-921. doi: 10.14359/51689540
3. Hong, S., and Kang, T. H.-K., “Dynamic Strength Properties of Concrete and Reinforcing Steel Subject to Extreme Loads,” ACI Structural Journal, V. 113, No. 5, Sept-Oct. 2016, pp. 983-995. doi: 10.14359/51688754
4. Banthia, N.; Mindess, S.; Bentur, A.; and Pigeon, M., “Impact Testing of Concrete Using a Drop-weight Impact Machine,” Experimental Mechanics, V. 29, No. 1, 1989, pp. 63-69. doi: 10.1007/BF02327783
5. Kishi, N.; Mikami, H.; Matsuoka, K. G.; and Ando, T., “Impact Behavior of Shear-Failure-Type RC Beams without Shear Rebar,” International Journal of Impact Engineering, V. 27, No. 9, 2002, pp. 955-968. doi: 10.1016/S0734-743X(01)00149-X
6. Fujikake, K.; Senga, T.; Ueda, N.; Ohno, T.; and Katagiri, M., “Study on Impact Response of Reactive Powder Concrete beam and Its Analytical Model,” Journal of Advanced Concrete Technology, V. 4, No. 1, 2006, pp. 99-108. doi: 10.3151/jact.4.99
7. Soleimani, S. M.; Banthia, N.; and Mindess, S., “Behavior of RC Beams under Impact Loading: Some New Findings,” Proceedings of the Sixth International Conference on Fracture Mechanics of Concrete and Concrete Structures, Catania, Italy, Taylor & Francis, London, UK, 2007, pp. 867-874.
8. Fujikake, K.; Li, B.; and Soeun, S., “Impact Response of Reinforced Concrete Beam and its Analytical Evaluation,” Journal of Structural Engineering, ASCE, V. 135, No. 8, 2009, pp. 938-950. doi: 10.1061/(ASCE)ST.1943-541X.0000039
9. Saatci, S., and Vecchio, F. J., “Effects of Shear Mechanisms on Impact Behavior of Reinforced Concrete Beams,” ACI Structural Journal, V. 106, No. 1, Jan.-Feb. 2009, pp. 78-86.
10. Tachibana, S.; Masuya, H.; and Nakamura, S., “Performance-Based Design of Reinforced Concrete Beams under Impact,” Journal of Natural Hazards and Earth System Science, V. 10, No. 6, 2010, pp. 1069-1078. doi: 10.5194/nhess-10-1069-2010
11. Kishi, N., and Mikami, H., “Empirical Formulas for Designing Reinforced Concrete Beams under Impact Loading,” ACI Structural Journal, V. 109, No. 4, July-Aug. 2012, pp. 509-519.
12. Yoo, D.; Banthia, N.; Kim, S.; and Yoon, Y., “Response of Ultra-High-Performance Fiber-Reinforced Concrete Beams with Continuous Steel Reinforcement Subjected to Low-Velocity Impact Loading,” Composite Structures, V. 126, 2015, pp. 233-245. doi: 10.1016/j.compstruct.2015.02.058
13. Zhan, T.; Wang, Z.; and Ning, J., “Failure Behaviors of Reinforced Concrete Beams Subjected to High Impact Loading,” Engineering Failure Analysis, V. 56, 2015, pp. 233-243. doi: 10.1016/j.engfailanal.2015.02.006
14. Wakabayashi, M.; Nakamura, T.; Yoshida, N.; Iwai, S.; and Watanabe, Y., “Dynamic Loading Effects on the Structural Performance of Concrete and Steel Materials and Beams,” Proceedings of the 7th World Conference. on Earthquake Engineering, Turkish National Committee on Earthquake Engineering, Istanbul, Turkey, 1980, pp. 271-278.
15. Kulkarni, S. M., and Shah, S. P., “Response of Reinforced Concrete Beams at High Strain Rates,” ACI Structural Journal, V. 95, No. 6, Nov.-Dec. 1998, pp. 705-715.
16. Li, B.; Park, R.; and Tanaka, H., “Constitutive Behavior of High-Strength Concrete under Dynamic Loads,” ACI Structural Journal, V. 97, No. 4, July-Aug. 2000, pp. 619-629.
17. Li, M., and Li, H., “Effects of Strain Rate on Reinforced Concrete Beam,” Advanced Materials Research, V. 243, No. 249, 2011, pp. 4033-4036. doi: 10.4028/www.scientific.net/AMR.243-249.4033
18. Cotsovos, D. M.; Stathopoulos, N. D.; and Zeris, C. A., “Behavior of RC Beams Subjected to High Rates of Concentrated Loading,” Journal of Structural Engineering, ASCE, V. 134, No. 12, 2008, pp. 1839-1851. doi: 10.1061/(ASCE)0733-9445(2008)134:12(1839)
19. Bhatti, A. Q.; Kishi, N.; Mikami, H.; and Ando, T., “Elasto-Plastic Impact Response Analysis of Shear-Failure-Type RC Beams with Shear Rebars,” Materials & Design, V. 30, No. 3, 2009, pp. 502-510. doi: 10.1016/j.matdes.2008.05.068
20. Kishi, N., and Bhatti, A. Q., “An Equivalent Fracture Energy Concept for Nonlinear Dynamic Response Analysis of Prototype RC Girders Subjected to Falling-Weight Impact Loading,” International Journal of Impact Engineering, V. 37, No. 1, 2010, pp. 103-113. doi: 10.1016/j.ijimpeng.2009.07.007
21. Jiang, H.; Wang, X.; and He, S., “Numerical Simulation of Impact Tests on Reinforced Concrete Beams,” Materials & Design, V. 39, 2012, pp. 111-120. doi: 10.1016/j.matdes.2012.02.018
22. Adhikary, S. D.; Li, B.; and Fujikake, K., “Dynamic Behavior of Reinforced Concrete Beams under Varying Rates of Concentrated Loading,” International Journal of Impact Engineering, V. 47, 2012, pp. 24-38. doi: 10.1016/j.ijimpeng.2012.02.001
23. Adhikary, S. D.; Li, B.; and Fujikake, K., “Strength and Behavior in Shear of Reinforced Concrete Deep Beams under Dynamic Loading Conditions,” Nuclear Engineering and Design, V. 259, 2013, pp. 14-28. doi: 10.1016/j.nucengdes.2013.02.016
24. Adhikary, S. D.; Li, B.; and Fujikake, K., “State-of-the-Art Review on Low-Velocity Impact Response of Reinforced Concrete Beams,” Magazine of Concrete Research, V. 68, No. 14, 2016, pp. 701-723. doi: 10.1680/jmacr.15.00084
25. Carta, G., and Stochino, F., “Theoretical Models to Predict the Flexural Failure of Reinforced Concrete Beams under Blast Loads,” Engineering Structures, V. 49, 2013, pp. 306-315. doi: 10.1016/j.engstruct.2012.11.008
26. Stochino, F., and Carta, G., “SDOF Models for Reinforced Concrete Beams under Impulsive Loads Accounting for Strain Rate Effects,” Nuclear Engineering and Design, V. 276, 2014, pp. 74-86. doi: 10.1016/j.nucengdes.2014.05.022
27. fib, “fib Model Code for Concrete Structures 2010,” fib, Ernst & Sohn, Berlin, Germany, 2010, 420 pp.
28. Spacone, E., and El-Tawil, S., “Nonlinear Analysis of Steel-Concrete Composite Structures: State of the Art,” Journal of Structural Engineering, ASCE, V. 130, No. 2, 2004, pp. 159-168. doi: 10.1061/(ASCE)0733-9445(2004)130:2(159)
29. Kent, D. C., and Park, R., “Flexural Members with Confined Concrete,” Journal of the Structural Divisiion, ASCE, V. 97, No. 7, 1971, pp. 1969-1990.
30. Scott, B. D.; Park, R.; and Priestley, M. J. N., “Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates,” ACI Journal Proceedings, V. 79, No. 1, Jan-Feb. 1982, pp. 13-27.
31. Mattock, A. H., “Discussion of ‘Rotation Capacity of Reinforced Concrete Beams’,” Journal of the Structural Division, ASCE, V. 93, No. 2, 1967, pp. 519-522.
32. Comite Euro-International du Beton, “Concrete Structures under Impact and Impulsive Loading,” CEB Bulletin, Lausanne, Switzerland, 1988, 187 pp.
33. Limberger, E.; Brandes, K.; and Herter, J., “Influence of Mechanical Properties of Reinforcing Steel on the Ductility of Reinforced Concrete Beams with Respect to High Strain Rates,” Proceedings of RILEM/CEB/IABSE/IASS Interassociation Symposium on Concrete Structures under Impact and Impulsive Loading, BAM, Berlin, Germany, 1982, pp. 134-145.
34. Ammann, W.; Mühlematter, M.; and Bachmann, H., “Stress-Strain Behaviour of Non-prestressed and Prestressed Reinforcing Steel at High Strain Rates,” Proceedings of RILEM/CEB/IABSE/IASS Interassociation Symposium on Concrete Structures under Impact and Impulsive Loading, BAM, Berlin, Germany, 1982, pp. 146-156.
35. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-14) and Commentary (ACI 318R-14),” American Concrete Institute, Farmington Hills, MI, 2014, 519 pp.
36. Hognestad, E., “A Study of Combined Bending and Axial Load in Reinforced Concrete Members,” Bulletin Series No. 399, University of Illinois Engineering Experimental Station, Urbana, IL, 1951.
37. Dhakal, R. P., and Maekawa, K., “Reinforcement Stability and Fracture of Cover Concrete in Reinforced Concrete Members,” Journal of Structural Engineering, ASCE, V. 128, No. 10, 2002, pp. 1253-1262. doi: 10.1061/(ASCE)0733-9445(2002)128:10(1253)
38. Choi, K. K.; Shin, D. W.; and Park, H. G., “Shear-Strength Model for Slab-Column Connections Subjected to Unbalanced Moment,” ACI Structural Journal, V. 111, No. 3, May-June 2014, pp. 491-502. doi: 10.14359/51686533
39. Korea Concrete Institute, “Concrete Code (KCI 2012),” Seoul, Korea, 2012, 599 pp. (in Korean)
40. Wu, H.; Fang, Q.; Peng, Y.; Gong, Z. M.; and Kong, X. Z., “Hard Projectile Perforation on the Monolithic and Segmented RC Panels with a Rear Steel Liner,” International Journal of Impact Engineering, V. 76, No. 1, 2015, pp. 232-250. doi: 10.1016/j.ijimpeng.2014.10.010
41. Hwang, H. J.; Kim, S.; and Kang, T. H.-K., “Energy-Based Penetration Model for Local Impact-Damaged Concrete Members,” ACI Structural Journal, V. 114, No. 5, Sept-Oct. 2017, pp. 1189-1200. doi: 10.14359/51689868