Çift ok başlı auxetik petek yapılarının tasarımı ve basma yükü altındaki performanslarının değerlendirmesi

Öz

Çift ok başlı öksetik (ÇOÖ) yapının birim hücresi eğrisel kirişler, dairesel düğümler ve kiral yapılar ile modifiye edilerek üstün basma özelliklerine sahip öksetik geometriler tasarlanmıştır.  Uzun ve kısa eğrisel kirişlerle Model-1 ve Model-2, bu geometrilerin kiral yapılarla hibritleştirilmesiyle Model-3 ve Model-4 tasarlanmıştır. Çalışmada klasik ÇOÖ yapı (Model-0) ise kontrol numunesi olarak kullanılmıştır. Tüm numunelere basma testi uygulanmış ve yapıların basma özellikleri Poisson oranı, spesifik enerji emilimi (SEE) ve ezilme performans parametreleri üzerinden değerlendirilmiştir. Öksetik yapıların deformasyon mekanizmaları ise basma testleri esnasında kaydedilen görüntüler kullanılarak incelenmiştir. Test sonuçları, öksetik yapıların birim hücrelerinde yapılan tasarım değişikliklerinin tüm numune gruplarında basma özelliklerini ve deformasyon karakteristiklerini belirgin şekilde iyileştirdiğini göstermiştir. Özellikle birim geometriye eklenen kiral yapılarla birlikte tasarımların rijitliği ve deformasyon stabilitesi artmış ve bu yapılarda plato bölgesinde daha yüksek yük taşıma kapasitesi elde edilmiştir. Model-0’a kıyasla en yüksek SEE değerleri sırasıyla %122,9 ve %96,78 artış ile Model-3 ve Model-4 numunelerinde elde edilmiştir. Kiral yapılar aynı zamanda birim hücrelerin yanal hareketini engellemiş bunun sonucunda öksetiklik azalmış ve bu numunelerde Poisson oranı daha yüksek ölçülmüştür. Tüm numune grupları arasında en düşük Poisson oranı Model-1 numunesinde -2,7 olarak, Model-0 kıyas numunesinden yaklaşık 2,5 kat daha küçük olarak elde edilmiştir. 

Anahtar Kelimeler

• Öksetik yapılar
• çift ok başlı öksetik yapı
• negatif Poisson oranı
• eklemeli imalat
• basma testi

Design and evaluation of modified double arrowhead auxetic honeycombs under compression loading

Öz

The unit cells of the double-arrowhead auxetic (AAH) structure were modified with curved beams, circular nodes, and chiral structures to design geometries with superior compressive properties. Model-1 and Model-2 were designed using long and short curved beams, while Model-3 and Model-4 were developed by hybridizing these geometries with chiral structures. In this study, the classical AAH structure (Model-0) was used as a control specimen. Compression tests were conducted, and the compressive properties were evaluated in terms of Poisson’s ratio, specific energy absorption (SEA), and crushing parameters. Deformation mechanisms were analyzed using test images. The results showed that the design modifications significantly improved compressive behavior and deformation characteristics across all specimens. In particular, the addition of chiral structures increased stiffness and deformation stability, leading to higher load-carrying capacity in the plateau region. Compared to Model-0, the highest SEA values were obtained in Model-3 and Model-4, with increases of 122.9% and 96.78%, respectively. Chiral structures also restricted lateral motion, resulting in reduced auxeticity and higher Poisson’s ratios. The lowest Poisson’s ratio was observed in Model-1 (-2.7), approximately 2.5 times lower than that of Model-0.

Anahtar Kelimeler

• Auxetic structures
• double arrowhead auxetic honeycombs
• negative Poisson ratio
• additive manufacturing
• compression test

Kaynakça

1. 1. Joseph A., Mahesh V., Harursampath D., On the application of additive manufacturing methods for auxetic structures: a review, Prog. Addit. Manuf., 7, 987-1005, 2021.
2. 2. Evans K.E., Nkansah M.A., Hutchinson I.J., Rogers S.C., Molecular network design, Nature, 353 (6340), 124-126, 1991.
3. 3. Jiang D., Thissen H., Hughes T.C., Yang K., Wilson R., Murphy A.B., Nguyen V., Advances in additive manufacturing of auxetic structures for biomedical applications, Mater. Today Commun., 40, 110045, 2024.
4. 4. Jin Y., Xie C., Gao Q., Zhou X., Li G., Du J., He Y., Fabrication of multi-scale and tunable auxetic scaffolds for tissue engineering, Mater. Des., 197, 109277, 2021.
5. 5. Junio R.F.P., da Silveira P.H.P.M., Neuba L.M., Monteiro S.N., Nascimento L.F.C., Development and applications of 3D printing-processed auxetic structures for high-velocity impact protection: a review, Engineering, 4 (1), 903-940, 2023.
6. 6. Khan M.I., Umair M., Nawab Y., Use of auxetic material for impact/ballistic applications, Composite Solutions for Ballistics, 199-228, 2021.
7. 7. Zhou Z., Application of auxetic materials in modern car industry and future trends, Bachelor’s Thesis, Lappeenranta–Lahti University of Technology LUT, Lappeenranta, Finland, 2023.
8. 8. Ali M., Zeeshan M., Ahmed S., Qadir B., Nawab Y., Anjum A.S., Riaz R., Development and comfort characterization of 2D-woven auxetic fabric for wearable and medical textile applications, Clothing Text. Res. J., 36 (3), 199-214, 2018.

9. 9. Wong K.V., Hernandez A., A review of additive manufacturing, ISRN Mech. Eng., 2012 (1), 208760, 2012.
10. 10. Mir M., Ali M.N., Sami J., Ansari U., Review of mechanics and applications of auxetic structures, Adv. Mater. Sci. Eng., 2014, 753496, 2014.
11. 11. Meena K., Singamneni S., Novel hybrid auxetic structures for improved in-plane mechanical properties via additive manufacturing, Mech. Mater., 158, 103890, 2021.
12. 12. Yaşar H., Ayas K., Durmuş A., Çavdar K., Mechanical properties of resin based additively manufactured polymer hybrid lattice structures under quasi-static compression conditions, Journal of the Faculty of Engineering and Architecture of Gazi University, 40 (4), 2309-2321, 2025.
13. 13. Ingrole A., Hao A., Liang R., Design and modeling of auxetic and hybrid honeycomb structures for in-plane property enhancement, Mater. Des., 117, 72-83, 2017.
14. 14. Jiang F., Yang S., Ding C., Qi C., Quasi-static crushing behavior of novel circular double arrowed auxetic honeycombs: experimental test and numerical simulation, Thin-Walled Struct., 177, 109434, 2022.
15. 15. ZainElabdeen I.H., Abdelmageed M., Umer R., Cantwell W., Khan K.A., Tessellated multilayer re-entrant honeycombs: unlocking superior in-plane strength via experiments and simulations, Mech. Adv. Mater. Struct., 1-20, 2025.
16. 16. Zhang L., Chen B., Pan L., Dynamic performance and optimization of sandwich beams with modified re-entrant auxetic honeycomb core, J. Mater. Eng. Perform., 35, 10038-10056, 2026.
17. 17. Guo Z., Yang F., Li L., Wu J., Bio-inspired curved-elliptical lattice structures for enhanced mechanical performance and deformation stability, Mater., 17 (17), 4191, 2024.
18. 18. Guo M.F., Yang H., Ma L., Design and analysis of 2D double-U auxetic honeycombs, Thin-Walled Struct., 155, 106915, 2020.
19. 19. Qi C., Jiang F., Remennikov A., Pei L.Z., Liu J., Wang J.S., Liao X.W., Yang S., Quasi-static crushing behavior of novel re-entrant circular auxetic honeycombs, Compos. Part B Eng., 197, 108117, 2020.
20. 20. Kumar S., Vyavahare S., Bogala H., Double arrowhead auxetic structures: a numerical investigation under compressive loading, Recent Advances in Manufacturing Modelling and Optimization, Editör: Kumar S., Ramkumar J., Kyratsis P., Springer, Singapore, 35-50, 2022.
21. 21. Francisco M.B., Pereira J.L.J., Vasconcelos G.A.V.B., da Cunha Jr S.S., Gomes G.F., Multiobjective design optimization of double arrowhead auxetic model using Lichtenberg algorithm based on metamodelling, Struct., 45, 1199-1211, 2022.
22. 22. Ni X., Ren X., Gao Q., Design and experimental study of a novel 3D hybrid metamaterial with enhanced stability and energy absorption capacity, Adv. Eng. Mater., 27 (18), 2501176, 2025.
23. 23. Li L., Yang F., Zhang S., Guo Z., Wang L., Ren X., Zhao M., A novel hybrid auxetic honeycomb with enhanced load-bearing and energy absorption properties, Eng. Struct., 289, 116335, 2023.
24. 24. Guo M.F., Yang H., Zhou Y.M., Ma L., Mechanical properties of 3D hybrid double arrow-head structure with tunable Poisson's ratio, Aerosp. Sci. Technol., 119, 107177, 2021.
25. 25. Fan P., Chen Y., Xiong J., Hu H., In-plane mechanical properties of a novel hybrid auxetic structure, Smart Mater. Struct., 31 (7), 075003, 2022.
26. 26. Zhang X., Zhu W., Tian R., Chen L., Guan H., Dual arrowhead-shaped re-entrant auxetic hybrid metamaterial with adjustable thermal expansion, Mater. Today Commun., 40, 109456, 2024.
27. 27. Nekin J.R., Aravind Raj S., Comparison of quasi-static compression performance of FDM 3D printed truss supported double arrowhead structure with a circular node, Mech. Adv. Mater. Struct., 32 (4), 12774-12787, 2024.
28. 28. Pan Y., Zhang X.G., Han D., Li W., Xu L.F., Zhang Y., Jiang W., Bao S., Teng X.C., Lai T., Ren X., The out-of-plane compressive behavior of auxetic chiral lattice with circular nodes, Thin-Walled Struct., 182, 110152, 2023.
29. 29. Montgomery-Liljeroth E., Schievano S., Burriesci G., Elastic properties of 2D auxetic honeycomb structures - a review, Appl. Mater. Today, 30, 101722, 2023.
30. 30. ASTM International, ASTM D638-14, Standard Test Method for Tensile Properties of Plastics, West Conshohocken, PA, USA, 2014.
31. 31. Shinde M., Ramirez-Chavez I.E., Potts A., Bhate D., A critical assessment of the onset strain of densification in the evaluation of energy absorption for additively manufactured cellular materials, Manuf. Lett., 41, 708-719, 2024.
32. 32. Romera L., Paz J., Costas M., Díaz J., Hernández S., Crashworthiness response of honeycomb metallic-GFRP energy absorption devices, WIT Trans. Built Environ., 137, 225-234, 2014.
33. 33. Ghasemian K., Shaban M., Mazaheri H., Energy absorption characteristics of enhanced missing-rib structure constructed via 3D printing, J. Compos. Mater., 59 (21), 2441-2463, 2025.
34. 34. Zhang W., Yan Z., Zhang J., Wang H., Han F., Jiang P., Wu T., Qin Q., On in-plane crushing behavior of an improved double-arrow auxetic metamaterial with two-step deformation mode, Eng. Struct., 303, 117482, 2024.
35. 35. Wang Z., Chen G., Cao X., Chen W., Li C.B., Li X., Study on the effect of nodal configuration on the mechanical properties of hexa-ligamentous chiral honeycombs, J. Mar. Sci. Eng., 11 (9), 1692, 2023.
36. 36. Alomarah A., Ruan D., Masood S., Sbarski I., Faisal B., An investigation of in-plane tensile properties of re-entrant chiral auxetic structure, Int. J. Adv. Manuf. Technol., 96 (5), 2013-2029, 2018.
37. 37. Cui Y., Xu Z., Zhou Q., Wang B., Wang K., Effective elastic modulus and energy absorption performance evaluations of a novel re-entrant chiral hybrid honeycomb, Appl. Math. Mech.-Engl. Ed., 46 (5), 781-794, 2025.