Energy Absorption Analysis and Multi-objective Optimization of Tri-layer Cups Subjected to Quasi-static Axial Compressive Loading

Document Type : Original Article


Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran


In this paper, the energy absorption features of tri-layer explosive-welded deep-drawn cups subjected to quasi-static axial compressive loading are investigated numerically and experimentally. To produce the cups, tri-layer blanks composed of aluminum and stainless steel alloys were fabricated by an explosive-welding process and formed by a deep drawing setup. The quasi-static tests were carried out at a rate of 2 mm/min. Based on the structure of the tri-layer cups and to calculate the energy absorption features of these structures, a numerical model was established and validated by experimental findings. Moreover, based on a surrogate model and using non-domain sorting genetic algorithm II, multi-objective optimizations were performed on specific energy absorption and initial peak load. The results indicated that the total absorbed energy and mean crush force of the pure stainless steel tri-layer cup were about 5.8 and 5.7 times the values of those for the pure aluminum specimen, respectively.


1. Nateghi, F., "Improved behaviour of accordion metallic dampers 
affected by the increasing number of layers", International
Journal of Engineering- Transactions C: Aspects,  Vol. 28, No.
6, (2015), 864-870. 
2. Maghami, S., Rezaeepazhand, J. and Yousefsani, S., "Effect of
corner bluntness on energy absorbing capability of non-circular
metallic tubes subjected to axial impact", International Journal
of Engineering- Transactions B: Applications, Vol. 1025,
(2013), 2495. 
3. Jandaghi Shahi, V. and Marzbanrad, J., "Analytical and
experimental studies on quasi-static axial crush behavior of thinwalled
tailor-made aluminum tubes", Thin-Walled Structures, 
Vol. 60, (2012), 24-37. 
4. Arnold, B. and Altenhof, W., "Experimental observations on the
crush characteristics of aa6061 t4 and t6 structural square tubes
with and without circular discontinuities", International Journal
of Crashworthiness,  Vol. 9, No. 1, (2004), 73-87  
5. Sadighi, A., Eyvazian, A., Asgari, M. and Hamouda, A.M., "A
novel axially half corrugated thin-walled tube for energy
absorption under axial loading", Thin-Walled Structures,  Vol.
145, (2019), 106418. 
6. Azarakhsh, S., Rahi, A., Ghamarian, A. and Motamedi, H., "Axial
crushing analysis of empty and foam-filled brass bitubular
cylinder tubes", Thin-Walled Structures,  Vol. 95, (2015), 60-72  
7. Alavi Nia, A., Rahpeima, R., Chahardoli, S. and Nateghi, I.,
"Evaluation of the effect of inner and outer transverse and
longitudinal grooves on energy absorption characteristics of
cylindrical thin-walled tubes under quasi-static axial load",
International Journal of Crashworthiness,  Vol. 24, No. 1,
(2017), 1-12. 
8. Shariati, M. and Allahbakhsh, H., "Numerical and experimental
investigations on the buckling of steel semi-spherical shells under
various loadings", Thin-Walled Structures,  Vol. 48, No. 8,
(2010), 620-628  
9. Tsukamoto, H., "Impact compressive behavior of deep-drawn
cups consisting of aluminum/duralumin multi-layered graded
structures", Materials Science and Engineering: B,  Vol. 198,
(2015), 25-34  
10. Tasdemirci, A., Sahin, S., Kara, A. and Turan, K., "Crushing and
energy absorption characteristics of combined geometry shells at
quasi-static and dynamic strain rates: Experimental and numerical
study", Thin-Walled Structures,  Vol. 86, (2015), 83-93  
11. Ghasemabadian, M., Kadkhodayan, M., Altenhof, W., Bondy, M.
and Magliaro, J., "An experimental study on the energy
absorption characteristics of single-and bi-layer cups under quasi-