[1] J. Kadkhodapour, H. Montazerian, M. Samadi, Plastic deformation and compressive mechanical properties of hollow sphere aluminum foams produced by space holder technique, Materials and Design, 83 (2015): 352-362.
[2] N. Biswas, J.L Ding, Numerical study of the deformation and fracture behavior of porous Ti6Al4V alloy under static and dynamic loading, International Journal of Impact Energy, 82 (2015): 89- 102.
[3] A. Vafaei, An investigation on the energy absorbed with the Aluminum porous structure made by cylindrical profiles, M.Sc. Thesis, Sahand University of Technology, 2020 (in Persian).
[4] C. Graciano, G. Martínez, A. Gutiérrez, Failure mechanism of expanded metal tubes under axial crushing, Thin-Walled Structures, 51(2012): 20–24.
[5] H. Wang, F. Yu, S. Mingming, H. Hai, Effect of structure design on compressive properties and energy absorption behavior of ordered porous aluminum prepared by rapid casting, Materials and Design,
167 (2019): 107631.
[6] M. Mahbod, M. Asgari, C. Mittelstedt, Architected functionally graded porous lattice structures for optimized elastic-plastic behavior, Journal of Materials: Design and Applications, 234(8) (2020) 1099-1116.
[7] A.M. Zanganeh, S.G. Khiavi, B. Mohammad Sadeghi, M. Divandari, Numerical study of the effect of geometric parameters on compressive mechanical properties of metallic lattice cylinders, Journal of Mechanical Engineering Science, 236(10) (2021) 5484-5494.
[8] P. Moreira, J. Mendonça, and N. Peixinho, Numerical simulation of impact loading on open-cell aluminum foams, in New Trends in Mechanism and Machine Science, Springer, pp. 949-956. 2015.
[9] M. Hosseini Vajari, S. Dariushi, M. Behzadnasab, An experimental investigation on mechanical properties of 3D-printed bio-inspired sandwich panels based on silk cocoon geometry, 8(4) (2021) 19- 26 (in Persian).
[10] J. Song, M. Wang, D. Li, J. Zhang, Deformation and Energy Absorption Performance of Functionally Graded TPMS Structures Fabricated by Selective Laser Melting, Applied Science, 14(5) 2024, 2064.
[11] A. Behravan, S. Seyedkashi, M. Sheikhi Azqandi, Optimum design and construction of cylindrical energy absorber under internal pressure using time evolutionary optimization algorithm, Modares Mechanical Engineering, 23(1) (2022) 45-55 (in Persian).
[12] S. Azarakhsh, A. Ghamarian, M. J. Rezvani, Investigation of different geometric parameters effect on axial crushing of thin-walled conical tubes, Journal of Mechanical Engineering, 52(2) (2023) 203-212 (in persian).
[13] A. Mohammadi, M. Sheikhi Azqandi, S. Rahnama, Designing of conical energy absorber with internal pressure by enhanced vibrating particle system algorithm, Iranian Journal of Materials Forming, 12(2) (2025) 29-41.
[14] N. Vahdat Azad, Go. Liaghat, A. Vahdatazad, A. Negahbanborun, M. Dehghani Mohammadabadi, Energy absorption investigation of cylindrical tube filled by functionally graded foam in quasi static test, Journal of Aeronautical Engineering, 21(1) (2019) 1-10 (in Persian).
[15] S. Pirmohammad, S. Esmaeili-Marzdashti, Multi-objective crashworthiness optimization of square and octagonal bitubal structures including different hole shapes, Thin Walled Structures, 139 (2019) 126-138.
[16] S. Chahardoli, M. Karimi, H. Hadian, Experimental and Numerical investigation of the Hole Effect on Collapse Properties of End-capped Conical Tubes under Axial Quasi-static Loading, Journal of Mechanical Engineering, 48(3) (2018) 57-67 (in Persian).
[17] S. Feli, M. H. Kiani, S. S. Jafari, Investigation of the performance of multi-cellular energy absorbers with functionally graded thickness under impact loading, Amirkabir Journal of Mechanical Engineering, 56(10) (2025) 1451-1472 (in Persian).
[18] M. Choubini, G.H. Liaghat, M. Pol, Investigation of energy absorption and deformation of thin walled tubes with circle and square section geometries under transverse impact loading, Modares Mechanical Engineering, 15(1) (2015) 75-84 (in Persian).
[19] M. Elyasi, M. Rooholamini Ahangar, V. Modanloo, Improving energy absorption of AA6061 holed thin-walled cylindrical tubes, Modares Mechanical Engineering, 23(11) (2023) 587-595 (in persian).
[20] A. Coluccia, G. Meyer, S. Liseni, Ch. Mittelstedt, G. De Pasquale, Functionally graded lattice structures for energy absorption: Numerical analysis and experimental validation, Composite Structures, 360, (2025) 119013.
[21] M. Sheikhi Azqandi, M. Hassanzadeh, First-and second-order sensitivity analysis of finite element models using extended complex variables method. Archive of Applied Mechanics, 91 (2021): 4263-4277, 2021.
[22] H. Wang, Y. Fu, M. M. Su, and H. Hao, Fabrication and compression investigation of the ordered porous aluminum with cubic pores, Materials Science Forum, 93 (2018) 97-105.
[23] J. Rouzegar, M. R. Keshavarz, H. Assaee, Experimental Study of Energy Absorption of Square Column under Multi-Indentation Loading, Amirkabir Journal of Mechanical Engineering, 51(1) (2018) 33-42 (in Persian).
[24] DIN 50134:2008, Testing of metallic materials - Compression test of metallic cellular materials, Deutsches Institut für Normung, 2008.
[25] H. Zhu, C. Qin, J. Q. Wang, F. J. Qi, Characterization and simulation of mechanical behavior of 6063 aluminum alloy thin-walled tubes. Advanced Materials Research, 197 (2011) 1500-1508.
