International Journal of Steel Structures

, Volume 18, Issue 5, pp 1541–1559 | Cite as

An Accurate Analysis for Sandwich Steel Beams with Graded Corrugated Core Under Dynamic Impulse

  • Asmita Rokaya
  • Jeongho KimEmail author


This paper addresses the dynamic loading characteristics of the shock tube onto sandwich steel beams as an efficient and accurate alternative to time consuming and complicated fluid structure interaction using finite element modeling. The corrugated sandwich steel beam consists of top and bottom flat substrates of steel 1018 and corrugated cores of steel 1008. The corrugated core layers are arranged with non-uniform thicknesses thus making sandwich beam graded. This sandwich beam is analogous to a steel beam with web and flanges. Substrates correspond to flanges and cores to web. The stress–strain relations of steel 1018 at high strain rates are measured using the split-Hopkinson pressure. Both carbon steels are assumed to follow bilinear strain hardening and strain rate-dependence. The present finite element modeling procedure with an improved dynamic impulse loading assumption is validated with a set of shock tube experiments, and it provides excellent correlation based on Russell error estimation with the test results. Four corrugated graded steel core arrangements are taken into account for core design parameters in order to maximize mitigation of blast load effects onto the structure. In addition, numerical study of four corrugated steel core placed in a reverse order is done using the validated finite element model. The dynamic behavior of the reversed steel core arrangement is compared with the normal core arrangement for deflections, contact force between support and specimen and plastic energy absorption.


Carbon steel sandwich beam Corrugated core Graded core Shock tube test Russell error 



We gratefully acknowledge the financial support from the U.S. Department of Homeland Security (Award 2008-ST-061-TS0002-02) to the University of Connecticut through Center for Resilient Transportation Infrastructure (Director: Prof. Michael Accorsi). We also acknowledge material processing and characterization by Prof. Rainer Hebert’s group at University of Connecticut and strain rate dependent properties and shock tube test provided by Prof. Arun Shukla’s group at University of Rhode Island.


  1. Al Quran, F. M. (2016). Effect of annealing on low carbon steel grade 1008. International Journal of Metallurgical & Materials, 6(2), 1–6.Google Scholar
  2. Apetre, N. A., Sankar, B. V., & Ambur, D. R. (2006). Low-velocity impact response of sandwich beams with functionally graded core. International Journal of Solids and Structures, 43(9), 2479–2496.CrossRefGoogle Scholar
  3. Bringas, J. E. (2004). Handbooks of comparative world steel standards. West Conshohocken: ASTM International.Google Scholar
  4. Dharmasena, K. P., Wadley, H. N., Xue, Z., & Hutchinson, J. W. (2008). Mechanical response of metallic honeycomb sandwich panel structures to high-intensity dynamic loading. International Journal of Impact Engineering, 35(9), 1063–1074.CrossRefGoogle Scholar
  5. Fleck, N. A., & Deshpande, V. S. (2004). The resistance of clamped sandwich beams to shock loading. Journal of Applied Mechanics, 71(3), 386–401.CrossRefGoogle Scholar
  6. Gardner, N., & Shukla, A. (2011). The blast response of sandwich composites with a graded core: Equivalent core layer mass vs. equivalent core layer thickness. In T. Proulx (Ed.), Dynamic behavior of materials (Vol. 1, pp. 281–288). New York, NY: Springer.CrossRefGoogle Scholar
  7. Gardner, N., Wang, E., Kumar, P., & Shukla, A. (2012). Blast mitigation in a sandwich composite using graded core and polyurea interlayer. Experimental Mechanics, 52(2), 119–133.CrossRefGoogle Scholar
  8. Hanssen, A. G., Enstock, L., & Langseth, M. (2002). Close-range blast loading of aluminum foam panels. International Journal of Impact Engineering, 27(6), 593–618.CrossRefGoogle Scholar
  9. Hossain, M. K., Liu, Q. L., & O’Toole, B. J. (2007). Functionally graded foam material system for energy absorption. In SAMPE 39th ISTC, Cincinnati, OH.Google Scholar
  10. Kumar, P., LeBlanc, J., Stargel, D. S., & Shukla, A. (2012). Effect of plate curvature on blast response of aluminum panels. International Journal of Impact Engineering, 46, 74–85.CrossRefGoogle Scholar
  11. LeBlanc, J., & Shukla, A. (2010). Dynamic response and damage evolution in composite materials subjected to underwater explosive loading: An experimental and computational study. Composite Structures, 92(10), 2421–2430.CrossRefGoogle Scholar
  12. LeBlanc, J., & Shukla, A. (2011). Dynamic response of curved composite panels to underwater explosive loading: Experimental and computational comparisons. Composite Structures, 93(11), 3072–3081.CrossRefGoogle Scholar
  13. LeBlanc, J., Shukla, A., Rousseau, C., & Bogdanovich, A. (2007). Shock loading of three-dimensional woven composite materials. Composite Structures, 79(3), 344–355.CrossRefGoogle Scholar
  14. Li, S., Li, X., Wang, Z., Wu, G., Lu, G., & Zhao, L. (2016). Finite element analysis of sandwich panels with stepwise graded aluminum honeycomb cores under blast loading. Composites Part A Applied Science and Manufacturing, 80, 1–2.CrossRefGoogle Scholar
  15. Li, S., Wang, Z., Wu, G., Zhao, L., & Li, X. (2014). Dynamic response of sandwich spherical shell with graded metallic foam cores subjected to blast loading. Composites Part A Applied Science and Manufacturing, 56, 262–271.CrossRefGoogle Scholar
  16. Liang, C. C., Yang, M. F., & Wu, P. W. (2001). Optimum design of metallic corrugated core sandwich panels subjected to blast loads. Ocean Engineering, 28(7), 825–861.CrossRefGoogle Scholar
  17. Nurick, G. N., Langdon, G. S., Chi, Y., & Jacob, N. (2009). Behavior of sandwich panels subjected to intense air blast—Part 1: Experiments. Composite Structures, 91(4), 433–441.CrossRefGoogle Scholar
  18. Rathbun, H. J., Radford, D. D., Xue, Z., He, M. Y., Yang, J., Deshpande, V., et al. (2006). Performance of metallic honeycomb-core sandwich beams under shock loading. International Journal of Solids and Structures, 43(6), 1746–1763.CrossRefGoogle Scholar
  19. Russell, D. M. (1997). Error measures for comparing transient data: Part I: Development of a comprehensive error measure. In Proceedings of the 68th shock and vibration symposium, Hunt Valley, MD, pp. 175–184.Google Scholar
  20. Tekalur, S. A., Shukla, A., & Shivakumar, K. (2008). Blast resistance of polyurea based layered composite materials. Composite Structures, 84(3), 271–281.CrossRefGoogle Scholar
  21. Tilbrook, M. T., Deshpande, V. S., & Fleck, N. A. (2006). The impulsive response of sandwich beams: Analytical and numerical investigation of regimes of behavior. Journal of the Mechanics and Physics of Solids, 54(11), 2242–2280.CrossRefGoogle Scholar
  22. Vaidya, S., Zhang, L., Maddala, D., Hebert, R., Wright, J. T., Shukla, A., et al. (2015). Quasi-static response of sandwich steel beams with corrugated cores. Engineering Structures, 97, 80–89.CrossRefGoogle Scholar
  23. Wang, E., Gardner, N., Gupta, S., & Shukla, A. (2012). Fluid-structure interaction and its effect on the performance of composite structures under air-blast loading. International Journal of Multiphysics, 6(3), 219–239.CrossRefGoogle Scholar
  24. Wang, E., Gardner, N., & Shukla, A. (2009). The blast resistance of sandwich composites with stepwise graded cores. International Journal of Solids and Structures, 46(18), 3492–3502.CrossRefGoogle Scholar
  25. Wang, E., & Shukla, A. (2010). Analytical and experimental evaluation of energies during shock wave loading. International Journal of Impact Engineering, 37(12), 1188–1196.CrossRefGoogle Scholar
  26. Wright, J. T. (2012). Thermo-dynamic response of ASME A913 grade 65 steel and graded, corrugated sandwich panels under shock loading. University of Rhode Island.Google Scholar
  27. Xue, Z., & Hutchinson, J. W. (2003). Preliminary assessment of sandwich plates subject to blast loads. International Journal of Mechanical Sciences, 45(4), 687–705.CrossRefGoogle Scholar
  28. Yazici, M., Wright, J., Bertin, D., & Shukla, A. (2014). Experimental and numerical study of foam filled corrugated core steel sandwich structures subjected to blast loading. Composite Structures, 110, 98–109.CrossRefGoogle Scholar
  29. Yazici, M., Wright, J., Bertin, D., & Shukla, A. (2015). Preferentially filled foam core corrugated steel sandwich structures for improved blast performance. Journal of Applied Mechanics, 82(6), 061005.CrossRefGoogle Scholar
  30. Zhang, L., Hebert, R., Wright, J. T., Shukla, A., & Kim, J. H. (2014). Dynamic response of corrugated sandwich steel plates with graded cores. International Journal of Impact Engineering, 65, 185–194.CrossRefGoogle Scholar

Copyright information

© Korean Society of Steel Construction 2018

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringUniversity of ConnecticutStorrsUSA

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