Technical Papers
Nov 23, 2021

Dynamic Response Prediction of RC Structural Components Subjected to Combined Blast and Fragment Impact

Publication: Journal of Structural Engineering
Volume 148, Issue 2

Abstract

The paper presents a methodology for enumerating the dynamic response of one-way reinforced concrete (RC) structural elements subjected to combined blast and fragment loading, a scenario commonly associated with the detonation of cased explosive charges. The proposed methodology is motivated by the relatively few studies published in this area and the simplified design procedures that are currently used for addressing this problem. The formulated framework, in addition to the consideration of the blast and the fragment loading, also accounts for the damage incurred by the member due to the localized penetration caused by the impacting fragments. The fragment-induced damage is accounted for by considering a member having a reduced cross-sectional depth, i.e., a damaged member. Material nonlinearity and the strain rate–sensitive aspects of both concrete and steel are also considered. The dynamic structural response of the member was quantified by idealizing the member as an equivalent single-degree-of-freedom system. Finite-element (FE) simulations were conducted by the authors for assessing the efficacy of the adopted formulations. On the basis of the comparative assessment, the results of the FE simulations were found to match relatively well with the results of the proposed approach (relative difference being in the range of 8.95%12.67%). Additionally, the peak displacements for the cased explosive charges were noted to increase by approximately 31%123% compared to bare (uncased) explosive charges of similar charge weights. While this observation underlines the severity of cased explosive charges, it also qualitatively highlights the damaging propensity of the striking fragments, a component that generally is not exclusively considered for design purposes.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This research is supported by the Science & Engineering Research Board (SERB) of the Department of Science & Technology (DST), India (MTR/2019/000713), which is gratefully acknowledged.

References

Adhikary, S. D. 2016. “Review of glazing and glazing systems under blast loading.” Pract. Period. Struct. Des. Constr. 21 (1): 04015009. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000264.
Adhikary, S. D., L. R. Chandra, A. Christian, and K. C. G. Ong. 2017. “Influence of cylindrical charge orientation on the blast response of high strength concrete panels.” Eng. Struct. 149 (Oct): 35–49. https://doi.org/10.1016/j.engstruct.2016.04.035.
Adhikary, S. D., L. R. Chandra, A. Christian, and K. C. G. Ong. 2018. “SHCC-strengthened RC panels under near-field explosions.” Constr. Build. Mater. 183 (Sep): 675–692. https://doi.org/10.1016/j.conbuildmat.2018.06.199.
ASCE. 2011. Blast protection of buildings. ASCE/SEI 59-11. Reston, VA: ASCE.
Biggs, J. M. 1964. Introduction to structural dynamics. New York: McGraw-Hill.
Borrvall, T., and W. Riedel. 2011. “The RHT concrete model in LS-DYNA.” In Proc., 8th European LS-DYNA Users Conf. Dublin, OH: DYNAmore.
Carta, G., and F. Stochino. 2013. “Theoretical models to predict the flexural failure of reinforced concrete beams under blast loads.” Eng. Struct. 49 (Apr): 306–315. https://doi.org/10.1016/j.engstruct.2012.11.008.
CEB (Comite Euro-International Du Beton). 1993. CEB-FIP model code 1990. London: Thomas Telford.
Charif, A., M. J. Shannag, and S. Dghaither. 2014. “Ductility of reinforced lightweight concrete beams and columns.” Lat. Am. J. Solids Struct. 11 (7): 1251–1274. https://doi.org/10.1590/S1679-78252014000700010.
CSA (Canadian Standard Association). 2012. Design and assessment of buildings subjected to blast loads. CAN/CSA S850-12. Rexdale, ON, Canada: CSA.
Del Linz, P., S. C. Fan, and C. K. Lee. 2016. “Modeling of combined impact and blast loading on reinforced concrete slabs.” Lat. Am. J. Solids Struct. 13 (12): 2266–2282. https://doi.org/10.1590/1679-78252516.
Fujikake, K., B. Li, and S. Soeun. 2009. “Impact response of reinforced concrete beam and its analytical evaluation.” J. Struct. Eng. 135 (8): 938–950. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000039.
Goswami, A., S. D. Adhikary, and B. Li. 2019. “Predicting the punching shear failure of concrete slabs under low velocity impact loading.” Eng. Struct. 184 (Apr): 37–51. https://doi.org/10.1016/j.engstruct.2019.01.081.
Grisaro, H. Y., D. Benamou, and A. N. Dancygier. 2018. “Investigation of blast and fragmentation loading characteristics—Field tests.” Eng. Struct. 167 (Jul): 363–375. https://doi.org/10.1016/j.engstruct.2018.04.013.
Grisaro, H. Y., and A. N. Dancygier. 2018a. “Characteristics of combined blast and fragments loading.” Int. J. Impact Eng. 116 (Jun): 51–64. https://doi.org/10.1016/j.ijimpeng.2018.02.004.
Grisaro, H. Y., and A. N. Dancygier. 2018b. “Spatial mass distribution of fragments striking a protective structure.” Int. J. Impact Eng. 112 (Feb): 1–14. https://doi.org/10.1016/j.ijimpeng.2017.10.003.
Grisaro, H. Y., and A. N. Dancygier. 2019. “Representation of damage caused by fragmentation impact in design and analysis of reinforced concrete barriers.” Eng. Struct. 197 (Oct): 109387. https://doi.org/10.1016/j.engstruct.2019.109387.
Grisaro, H. Y., A. N. Dancygier, and D. Benamou. 2019. “Structural properties of RC plates damaged by fragmentation impact.” Constr. Build. Mater. 207 (May): 463–476. https://doi.org/10.1016/j.conbuildmat.2019.02.096.
Grunwald, C., B. Schaufelberger, A. Stolz, W. Riedel, and T. Borrvall. 2017. “A general concrete model in hydrocodes: Verification and validation of the Riedel–Hiermaier–Thoma model in LS-DYNA.” Int. J. Prot. Struct. 8 (1): 58–85. https://doi.org/10.1177/2041419617695977.
Gurney, R. W. 1943. The initial velocities of fragments from bombs, shells, grenades. Chandigarh, India: Ballistic Research Laboratories.
Hader, H. 1983. Effects of bare and cased explosive charges on reinforced concrete walls. Zurich, Switzerland: Basler (Ernst) and Partners.
Heckötter, C., and J. Sievers. 2017. “Comparison of the RHT concrete material model in LS-DYNA and ANSYS AUTODYN.” In Proc., 11th European LS-DYNA Users Conf. Dublin, OH: DYNAmore.
Holmquist, T. J., and G. R. Johnson. 1993. “A computational constitutive model for concrete subjected to large strains, high strain rates, and high pressures.” In Proc., 14th Int. Symp. on Ballistics. Amsterdam, Netherlands: Elsevier.
Hutchinson, M. D. 2009. “The escape of blast from fragmenting munitions casings.” Int. J. Impact Eng. 36 (2): 185–192. https://doi.org/10.1016/j.ijimpeng.2008.05.002.
Krauthammer, T. 2008. Modern protective structures. Boca Raton, FL: CRC Press.
Lan, S., and K. B. Morrill. 2016. “Numerical simulation for combined blast & fragment effects on RC slabs.” In Proc., 7th Int. Conf. on Computational Methods (ICCM 16). Berkeley, CA: International Conference of Computational Methods in Sciences and Engineering.
LSTC (Livermore Software Technology Corporation). 2007. LS-DYNA software. Livermore, CA: LSTC.
Malvar, L. J., and J. E. Crawford. 1998. “Dynamic increase factors for steel reinforcing bars.” In Proc., 28th DDESB Seminar. Fort Belvoir, VA: Defense Technical Information Center.
Marchand, K. A., M. M. Vargas, and J. D. Nixon. 1992. The synergistic effects of combined blast and fragment loadings. Tyndall Air Force Base, FL: Engineering & Services Laboratory, Air Force Engineering & Services Center.
Mott, N. F. 1943. Fragmentation of HE shells: A theoretical formula for the distribution of weights of fragments. Boston: Fragmentation Panel of the Static Detonation Committee, Advisory Council on Scientific Research and Technical Development, Ministry of Supply.
Mott, N. F., and E. H. Linfoot. 1943. A theory of fragmentation. Boston: Fragmentation Panel of the Static Detonation Committee, Advisory Council on Scientific Research and Technical Development, Ministry of Supply.
Nyström, U., and K. Gylltoft. 2009. “Numerical studies of the combined effects of blast and fragment loading.” Int. J. Impact Eng. 36 (8): 995–1005. https://doi.org/10.1016/j.ijimpeng.2009.02.008.
Patel, K., A. Goswami, and S. D. Adhikary. 2020. “Response characterization of highway bridge piers subjected to blast loading.” Struct. Concr. 21 (6): 2377–2395. https://doi.org/10.1002/suco.201900286.
Riedel, W., K. Thoma, and S. Hiermaier. 1999. “Penetration of reinforced concrete by BETA-B-500 numerical analysis using a new macroscopic concrete model for hydrocodes.” In Proc., 9th Int. Symp. on Interaction of the Effect of Munitions with Structures. Berlin-Strausberg, Germany: International Symposium on Interaction of the Effects of Munitions with Structures.
Stochino, F., and G. Carta. 2014. “SDOF models for reinforced concrete beams under impulsive loads accounting for strain rate effects.” Nucl. Eng. Des. 276 (Sep): 74–86. https://doi.org/10.1016/j.nucengdes.2014.05.022.
Thiagarajan, G., A. V. Kadambi, S. Robert, and C. F. Johnson. 2015. “Experimental and finite element analysis of doubly reinforced concrete slabs subjected to blast loads.” Int. J. Impact Eng. 75 (Jan): 162–173. https://doi.org/10.1016/j.ijimpeng.2014.07.018.
Thiagarajan, G., R. Rahimzadeh, and A. Kundu. 2013. “Study of pressure-impulse diagrams for reinforced concrete columns using finite element analysis.” Int. J. Prot. Struct. 4 (4): 485–504. https://doi.org/10.1260/2041-4196.4.4.485.
Thiagarajan, G., A. K. Vasudevan, and S. Robert. 2011. “Numerical modeling of concrete slabs reinforced with high strength low alloy vanadium steel bars subjected to blast loads.” ACI Spec. Publ. 281 (Dec): 263–277.
Thorenfeldt, E., A. Tomaszewicz, and J. J. Jensen. 1987. “Mechanical properties of high- strength concrete and application in design.” In Proc., Symp.: Utilization of High Strength Concrete. Seattle, WA: Allen Institute for AI.
Tu, Z., and Y. Lu. 2009. “Evaluation of typical concrete material models used in hydrocodes for high dynamic response simulations.” Int. J. Impact Eng. 36 (1): 132–146. https://doi.org/10.1016/j.ijimpeng.2007.12.010.
UFC (Unified Facilities Criteria). 2008. Structures to resist the effects of accidental explosions. UFC 3-340-02. Washington, DC: UFC, US DoD.
Weathersby, J. H. 2003. “Investigation of bond slip between concrete and steel reinforcement under dynamic loading conditions.” Accessed June 16, 2021. https://digitalcommons.lsu.edu/gradschool_dissertations/1649.
Wu, C., D. J. Oehlers, and I. Day. 2009. “Layered blast capacity analysis of FRP retrofitted RC member.” Adv. Struct. Eng. 12 (3): 435–449. https://doi.org/10.1260/136943309788708338.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 148Issue 2February 2022

History

Received: Jun 23, 2021
Accepted: Sep 17, 2021
Published online: Nov 23, 2021
Published in print: Feb 1, 2022
Discussion open until: Apr 23, 2022

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Abhiroop Goswami, S.M.ASCE [email protected]
Ph.D. Student, Dept. of Civil Engineering, Indian Institute of Technology (ISM) Dhanbad, Dhanbad, Jharkhand 826004, India. Email: [email protected]
Professor, Dept. of Civil Engineering, Univ. of Missouri Kansas City, 352 Flarsheim Hall, 5100 Rockhill Rd., Kansas City, MO 64110. ORCID: https://orcid.org/0000-0001-5645-232X. Email: [email protected]
Assistant Professor, Dept. of Civil Engineering, Indian Institute of Technology (ISM) Dhanbad, Dhanbad, Jharkhand 826004, India (corresponding author). ORCID: https://orcid.org/0000-0002-6711-0752. Email: [email protected]; [email protected]

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Cited by

  • Effect of Combined Blast and Fragment Loading on RC Wall and Its Mitigation Using Composite Sections, Journal of Performance of Constructed Facilities, 10.1061/JPCFEV.CFENG-4366, 37, 5, (2023).
  • High-Strength Materials for the Response Enhancement of Reinforced Concrete Structures Subjected to Cased Explosive Charges, Journal of Structural Engineering, 10.1061/(ASCE)ST.1943-541X.0003491, 148, 11, (2022).
  • RC structures subjected to combined blast and fragment impact loading: A state-of-the-art review on the present and the future outlook, International Journal of Impact Engineering, 10.1016/j.ijimpeng.2022.104355, 170, (104355), (2022).

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