Mechanical Engineering for Society and Industry

Articles

Spring-back effect on double arrowhead auxetic structures for EV battery compartment protectors

Asep Indra Komara , Indrawanto , Rachman Setiawan , Bagus Budiwantoro , Dedy Ariefijanto

Abstract

Cellular structures such as double arrowhead (DAH) have great potential for development as impact-absorbing modules for electric-vehicle battery compartments. The DAH structure is relatively light and absorbs energy well, but the complex manufacturing presents challenges. One potential manufacturing process is sheet metal forming (SMF) technology. In SMF, a common obstacle is spring-back, which affects the assembly process and may reduce the energy-absorption performance of the DAH structure. This article aims to determine the effect of the manufacturing process on the spring-back of the DAH structure on its energy absorption performance. Experimental results showed that all tested conditions produced positive spring-back. Punch velocity had a greater influence than lubrication, where higher punch velocity reduced the spring-back angle, while lubrication showed only a minor effect. The experimental spring-back correction factor (Kθ) ranged from 1.002 to 1.025 depending on the forming conditions. These results indicate that spring-back can be effectively controlled by adjusting punch speed and compensating for tooling angle.

Keywords

cellular structures; double arrowhead; impact absorber; sheet metal; springback

References

  1. [1] L. J. Gibson and M. F. Ashby, Cellular solids, structure and properties, 2nd Ed. Cambridge, United Kingdom: Cambridge University Press, 1997.
  2. [2] L. J. Gibson, “Modelling the mechanical behavior of cellular materials,” Materials Science and Engineering: A, vol. 110, no. C, pp. 1–36, Mar. 1989, doi: 10.1016/0921-5093(89)90154-8.
  3. [3] C. O. Ufodike, M. F. Ahmed, and G. Dolzyk, “Additively manufactured biomorphic cellular structures inspired by wood microstructure,” Journal of the Mechanical Behavior of Biomedical Materials, vol. 123, no. August 2021l, p. 104729, Nov. 2021, doi: 10.1016/j.jmbbm.2021.104729.
  4. [4] L. J. Gibson, “Biomechanics of cellular solids,” Journal of Biomechanics, vol. 38, no. 3, pp. 377–399, Mar. 2005, doi: 10.1016/j.jbiomech.2004.09.027.
  5. [5] M. Mudassir, F. Tarlochan, and M. A. Mansour, “Nature-Inspired Cellular Structure Design for Electric Vehicle Battery Compartment: Application to Crashworthiness,” Applied Sciences, vol. 10, no. 13, p. 4532, Jun. 2020, doi: 10.3390/app10134532.
  6. [6] A. Evans, “Multifunctionality of cellular metal systems,” Progress in Materials Science, vol. 43, no. 3, pp. 171–221, Jul. 1998, doi: 10.1016/S0079-6425(98)00004-8.
  7. [7] Q. Feng, Q. Tang, Z. Liu, Y. Liu, and R. Setchi, “An investigation of the mechanical properties of metallic lattice structures fabricated using selective laser melting,” Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol. 232, no. 10, pp. 1719–1730, Aug. 2018, doi: 10.1177/0954405416668924.
  8. [8] Y. Zhao, Y. Wang, J. Hao, Y. Wang, K. Wang, and S. Tai, “Study on mechanical properties of cellular structures with negative Poisson’s ratio based on the development of Abaqus plug-in tool,” Composite Structures, vol. 322, no. July, p. 117348, Oct. 2023, doi: 10.1016/j.compstruct.2023.117348.
  9. [9] A. Sur, S. Narkhede, and S. Darvekar, “Applications, Manufacturing and Thermal Characteristics of Micro-Lattice Structures: Current State of the Art,” Engineering Journal, vol. 23, no. 6, pp. 419–431, Nov. 2019, doi: 10.4186/ej.2019.23.6.419.
  10. [10] U. Sajjad, T. Rehman, M. Ali, C. W. Park, and W.-M. Yan, “Manufacturing and potential applications of lattice structures in thermal systems: A comprehensive review of recent advances,” International Journal of Heat and Mass Transfer, vol. 198, p. 123352, Dec. 2022, doi: 10.1016/j.ijheatmasstransfer.2022.123352.
  11. [11] M. Ali et al., “On the assessment of the mechanical properties of additively manufactured lattice structures,” Engineering Analysis with Boundary Elements, vol. 142, no. February, pp. 93–116, Sep. 2022, doi: 10.1016/j.enganabound.2022.05.019.
  12. [12] H. Yin, W. Zhang, L. Zhu, F. Meng, J. Liu, and G. Wen, “Review on lattice structures for energy absorption properties,” Composite Structures, vol. 304, no. October 2022, p. 116397, Jan. 2023, doi: 10.1016/j.compstruct.2022.116397.
  13. [13] X. Xue, C. Lin, F. Wu, Z. Li, and J. Liao, “Lattice structures with negative Poisson’s ratio: A review,” Materials Today Communications, vol. 34, no. 8 December 2022, p. 105132, Mar. 2023, doi: 10.1016/j.mtcomm.2022.105132.
  14. [14] S. Yang, Y. Wen, H. Sun, C. Liang, and Y. Li, “Study on springback prediction based on neutral layer displacement in three-dimensional stretch-bending forming of profiles,” International Journal of Solids and Structures, vol. 311, no. November 2024, p. 113241, Apr. 2025, doi: 10.1016/j.ijsolstr.2025.113241.
  15. [15] C.-C. Chu, “The effect of restraining force on springback,” International Journal of Solids and Structures, vol. 27, no. 8, pp. 1035–1046, 1991, doi: 10.1016/0020-7683(91)90099-2.
  16. [16] L. Reddy, B. C. Rao, P. R. Reddy, and P. V. R. R. Reddy, “A Review on Springback in Metal Forming,” International Journal of Engineering Research & Technology, vol. 3, no. 1, pp. 646–655, 2014.
  17. [17] R. Setiawan, A. I. Komara, and B. Budiwantoro, “Numerical and experimental investigation of aluminum double arrowhead cellular structure manufactured using sheet metal forming,” Results in Engineering, vol. 26, no. January, p. 104667, Jun. 2025, doi: 10.1016/j.rineng.2025.104667.
  18. [18] G. Gray III and H. Kuhn, “Classic Split-Hopkinson Pressure Bar Testing,” in Mechanical Testing and Evaluation, Materials Parks, Ohio: ASM International, 2000, pp. 462–476. doi: 10.31399/asm.hb.v08.a0003296.
  19. [19] G.-P. Rusu, R.-E. Breaz, M.-O. Popp, V. Oleksik, and S.-G. Racz, “Experimental Research on Wolfram Inert Gas AA1050 Aluminum Alloy Tailor Welded Blanks Processed by Single Point Incremental Forming Process,” Materials, vol. 16, no. 19, p. 6408, Sep. 2023, doi: 10.3390/ma16196408.
  20. [20] I. G. S. S. Dharma and R. Setiawan, “Comparative Review of Multi-Objective Optimization Algorithms for Design and Safety Optimization in Electric Vehicles,” IEEE Access, vol. 12, no. October, pp. 146376–146396, 2024, doi: 10.1109/ACCESS.2024.3475032.
  21. [21] F. J. Gardiner, “The Spring Back of Metals,” Journal of Fluids Engineering, vol. 79, no. 1, pp. 1–7, Jan. 1957, doi: 10.1115/1.4012908.
  22. [22] A. Behrouzi, B. Mollaei Dariani, and M. Shakeri, “Tool shape design in V-bending and channel forming processes by inverse analysis of springback,” Inverse Problems in Science and Engineering, vol. 18, no. 4, pp. 465–480, Jan. 2010, doi: 10.1080/17415971003624355.
  23. [23] W. F. Hasford and M. F. Caddell, Metal Forming Mechanics and Metallurgy, THIRD EDIT. Cambridge: Cambridge University Press, 2007.
  24. [24] C. Ben Salem and W. Meslameni, “A Numerical Investigation on the Springback in Air V-Banding of Aluminum 1050 A,” International Journal of Research in Industrial Engineering, vol. 11, no. 2, pp. 119–133, 2022, doi: 10.22105/riej.2022.337535.1308.
  25. [25] S. Sabari, D. G. Andrade, C. Leitão, F. Simões, and D. M. Rodrigues, “Influence of the strain hardening behaviour on the tensile and compressive response of aluminium auxetic structures,” Composite Structures, vol. 305, no. October 2022, p. 116472, Feb. 2023, doi: 10.1016/j.compstruct.2022.116472.
  26. [26] A. Mohan, P. Mondal, and J. Rengaswamy, “Impact behavior of auxetic structures: Experimental and numerical analysis,” Materials Today: Proceedings, vol. 87, no. xxxx, pp. 292–298, 2023, doi: 10.1016/j.matpr.2023.05.631.
  27. [27] M. Nasim, M. J. Hasan, and U. Galvanetto, “Impact behavior of energy absorbing helmet liners with PA12 lattice structures: A computational study,” International Journal of Mechanical Sciences, vol. 233, no. August, p. 107673, Nov. 2022, doi: 10.1016/j.ijmecsci.2022.107673.
  28. [28] B. Uspensky, I. Derevianko, K. Avramov, K. Maksymenko-Sheiko, and M. Chernobryvko, “Mechanical Properties of Auxetic Honeycombs Realized via Material Extrusion Additive Manufacturing: Experimental Testing and Numerical Studies,” Applied Composite Materials, vol. 32, no. 1, pp. 119–148, Feb. 2025, doi: 10.1007/s10443-024-10269-2.
  29. [29] A. D. Gudayu, L. Steuernagel, and D. Meiners, “The capability of ABAQUS/CAE to predict the tensile properties of sisal fiber reinforced polyethylene terephthalate composites,” Composites and Advanced Materials, vol. 31, pp. 1–13, Jan. 2022, doi: 10.1177/26349833221137602.
  30. [30] L. Vinet and A. Zhedanov, “A ‘missing’ family of classical orthogonal polynomials,” Journal of Physics A: Mathematical and Theoretical, vol. 44, no. 8, p. 085201, Feb. 2011, doi: 10.1088/1751-8113/44/8/085201.
  31. [31] T. Altan and A. E. Tekkaya, Sheet Metal Forming: Processes and Applications. ASM International, 2012. doi: 10.31399/asm.tb.smfpa.9781627083171.
  32. [32] I. A. Choudhury and V. Ghomi, “Springback reduction of aluminum sheet in V-bending dies,” Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol. 228, no. 8, pp. 917–926, Aug. 2014, doi: 10.1177/0954405413514225.
  33. [33] Ç. Karakaya and S. Ekşi, “Springback Behavior of AA 7075-T6 Alloy in V-Shaped Bending,” Applied Sciences, vol. 15, no. 10, p. 5509, May 2025, doi: 10.3390/app15105509.
  34. [34] S. Tejyan, N. Kumar, R. Kant Ravi, V. Singh, and B. Gangil, “Analysis of spring back effect for AA6061 alloy sheet using finite element analysis,” Materials Today: Proceedings, May 2024, doi: 10.1016/j.matpr.2024.05.122.
  35. [35] S. Thipprakmas and W. Phanitwong, “Process parameter design of spring-back and spring-go in V-bending process using Taguchi technique,” Materials & Design, vol. 32, no. 8–9, pp. 4430–4436, Sep. 2011, doi: 10.1016/j.matdes.2011.03.069.
  36. [36] M. Bakhshi-Jooybari, B. Rahmani, V. Daeezadeh, and A. Gorji, “The study of spring-back of CK67 steel sheet in V-die and U-die bending processes,” Materials & Design, vol. 30, no. 7, pp. 2410–2419, Aug. 2009, doi: 10.1016/j.matdes.2008.10.018.
  37. [37] R. H. Wagoner, H. Lim, and M.-G. Lee, “Advanced Issues in springback,” International Journal of Plasticity, vol. 45, pp. 3–20, Jun. 2013, doi: 10.1016/j.ijplas.2012.08.006.
  38. [38] M. K. Choi and H. Huh, “Effect of Punch Speed on Amount of Springback in U-bending Process of Auto-body Steel Sheets,” Procedia Engineering, vol. 81, no. October, pp. 963–968, 2014, doi: 10.1016/j.proeng.2014.10.125.
  39. [39] P.-A. Eggertsen and K. Mattiasson, “On constitutive modeling for springback analysis,” International Journal of Mechanical Sciences, vol. 52, no. 6, pp. 804–818, Jun. 2010, doi: 10.1016/j.ijmecsci.2010.01.008.
  40. [40] B. K. Chun, J. T. Jinn, and J. K. Lee, “Modeling the Bauschinger effect for sheet metals, part I: theory,” International Journal of Plasticity, vol. 18, no. 5–6, pp. 571–595, Oct. 2002, doi: 10.1016/S0749-6419(01)00046-8.