Characterization of Auxetic Metamaterials: Experimental and Finite Element Study of Re-Entrant Bowtie and Conventional Honeycomb Structures Fabricated by FDM Using PLA, PETG, and TPU

References (25)

1. [1] R. S. Lakes, "Foam structures with a negative Poisson's ratio," Science, vol. 235, no. 4792, pp. 1038–1040, 1987.
2. [2] K. E. Evans, M. A. Nkansah, I. J. Hutchinson, and S. C. Rogers, "Molecular network design," Nature, vol. 353, p. 124, 1991.
3. [3] K. E. Evans and A. Alderson, "Auxetic materials: Functional materials and structures from lateral thinking," Adv. Mater., vol. 12, pp. 617–628, 2000.
4. [4] H. M. A. Kolken and A. A. Zadpoor, "Auxetic mechanical metamaterials," RSC Adv., vol. 7, pp. 5111–5129, 2017.
5. [5] V. H. Carneiro, J. Meireles, and H. Puga, "Auxetic materials – A review," Mater. Sci.-Poland, vol. 31, pp. 561–571, 2013.
6. [6] M. Mir, M. N. Ali, J. Sami, and U. Ansari, "Review of mechanics and applications of auxetic structures," Adv. Mater. Sci. Eng., vol. 2014, pp. 1–17, 2014.
7. [7] J. N. Grima, R. Caruana-Gauci, M. R. Dudek, K. W. Wojciechowski, and R. Gatt, "Smart metamaterials with tunable auxetic and other properties," Smart Mater. Struct., vol. 22, p. 084016, 2013.
8. [8] V. A. Lvov, F. S. Senatov, A. A. Veveris, V. A. Skrybykina, and A. D. Lantada, "Auxetic metamaterials for biomedical devices," Materials, vol. 15, p. 1439, 2022.
9. [9] N. Ghavidelnia, M. Bodaghi, and R. Hedayati, "Idealized 3D auxetic mechanical metamaterial: An analytical, numerical, and experimental study," Materials, vol. 14, p. 993, 2021.
10. [10] S. A. Lurie, A. L. Kalamkarov, Y. O. Solyaev, A. D. Ustenko, and A. V. Volkov, "Continuum micro-dilatation modeling of auxetic metamaterials," Int. J. Solids Struct., vol. 132–133, pp. 188–200, 2018.
11. [11] J. O. Akindoyo et al., "Polyurethane types, synthesis and applications – a review," RSC Adv., vol. 6, pp. 114453–114482, 2016.
12. [12] S. R. G. Bates, I. R. Farrow, and R. S. Trask, "Compressive behaviour of 3D printed thermoplastic polyurethane honeycombs with graded densities," Mater. Des., vol. 162, pp. 130–142, 2019.
13. [13] T. Samanta and M. G. S. Qaimi, "Experimental and FEA analysis of 3D printed TPU material auxetic structure," JETIR, vol. 7, no. 8, pp. 279–287, 2020.
14. [14] A. Alomarah, A. T. Abbas, B. Faisal, Z. Peng, and D. Ruan, "The effects of manufacturing techniques on the mechanical performance of an auxetic structure," Adv. Eng. Mater., vol. 26, p. 2302033, 2024.
15. [15] E. Montgomery-Liljeroth, S. Schievano, and G. Burriesci, "Elastic properties of 2D auxetic honeycomb structures – A review," Appl. Mater. Today, vol. 30, p. 101722, 2023.
16. [16] A. Shahmorad, R. Hashemi, and M. Rajabi, "Study of novel 3D-printed auxetic metamaterial structures under compressive loading," Sci. Rep., vol. 15, p. 38033, 2025.
17. [17] D. Katrakova-Krüger et al., "Influence of polymer properties on the mechanical behaviour of 3D-printed auxetic metamaterials," Manuf. Rev., vol. 12, p. 14, 2025.
18. [18] Y. Yuan, G. Ren, Y. Chen, and Y. Jin, "3D printed auxetic metamaterials with tunable mechanical properties," Mater. Des., vol. 244, p. 113119, 2024.
19. [19] F. Fereydoonpour, S. Dezianian, and M. Azadi, "Shape memory recovery in PLA and TPU bi-material metamaterials under fatigue testing," Polym. Test., vol. 147, p. 108802, 2025.
20. [20] B. Ashfaq, G. Hussain, M. B. Khan, and M. Ilyas, "Mechanical characterisation of 3D-printed auxetic structures: Role of anisotropy on FEA accuracy," Int. J. Adv. Manuf. Technol., vol. 130, pp. 4845–4862, 2024.
21. [21] A. Hamzehei et al., "Octagonal auxetic metamaterials with hyperelastic properties for large compressive deformation," Int. J. Mech. Sci., vol. 145, pp. 96–105, 2018.
22. [22] J. Zhou, H. Liu, J. P. Dear, B. G. Falzon, and Z. Kazancı, "Comparison of quasi-static loading conditions of additively manufactured composite hexagonal and auxetic cellular structures," Int. J. Mech. Sci., vol. 244, p. 108054, 2023.
23. [23] S. Dezianian and M. Azadi, "Numerical/experimental investigation of energy absorption in 3D-printed bi/multi-material polymeric metamaterials," Heliyon, vol. 11, p. e43416, 2025.
24. [24] A. Garg et al., "A review on AI-enabled mechanical analysis of 3D printed and FEM-modelled auxetic metamaterials," Virtual Phys. Prototyp., vol. 20, p. e2445712, 2024.
25. [25] E. Cuan-Urquizo and R. Guerra Silva, "Fused filament fabrication of cellular, lattice and porous mechanical metamaterials: A review," Addit. Manuf., vol. 65, p. 103424, 2023.