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DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES

Year 2024, Volume: 8 Issue: 3, 303 - 315, 30.12.2024
https://doi.org/10.46519/ij3dptdi.1418791

Abstract

The development of lightweight structures that utilize minimal material while maintaining desired mechanical properties has become increasingly significant with advancements in manufacturing technologies, attracting the attention of researchers. Additive manufacturing methods have enabled the rapid production and testing of new design prototypes, thereby accelerating research in this domain. This study aims to investigate new designs through the functional grading approach applied to auxetic structures. Drawing on established structural patterns from the literature, three patterns were selected for this study. These patterns were modeled with varying wall thicknesses in line with the functional grading approach, and static analyses were conducted using the Ansys Workbench program. For the static analysis, a uniform deformation value was applied to each structure, and the reaction forces at the fixed end were used as the comparison criterion. When the re-entrant, rcw-honeycomb, and elliptical patterns were redesigned using the functional grading approach, their weights increased by 13%, 9%, and 12%, respectively. However, the reaction forces, which serve as an indicator of the structures' load-carrying capacity, showed increases of 68%, 56%, and 43%, respectively. These results underscore the effectiveness of the functional grading approach in enhancing the load capacity of auxetic structures.

Supporting Institution

Yildiz Technical University Scientific Research Projects Coordination Unit

Project Number

FYL-2023-5861

Thanks

This work has been supported by Yildiz Technical University Scientific Research Projects Coordination Unit under project number FYL-2023-5861 This article was presented orally at the 7th International 3D Printing Technologies and Digital Industry Congress and the abstract was printed in the "Abstract Book".

References

  • 1. Ken E. E., “Auxetic polymers: a new range of materials” Endeavour,Vol. 15, Issue 4, Pages 170–174,1991.
  • 2. Uzun M., “Negatif Poi̇sson Oranina Sahi̇p (Auxetic) Malzemeler Ve Uygulama Alanlari Negative Poisson Ratio (Auxetic) Materials and Their Applications” J Text Eng, Vol.77, Pages 14–18, 2017.
  • 3. Öztürk B., “3 Boyutlu Yazıcı İle Üretilen Sandviç Yapıların Statik Ve Dinamik Yük Altında Davranışlarının İncelenmesi”,Yüksek Lisans Tezi Bursa Teknik Üniversitesi, 2020.
  • 4. Özen AT., “Re-Entrant Şekilli Ökzetik Yapıların Ve Bor Nitrür Katkılı Filamentlerin Katmanlı İmalat İle Üretimi Ve Karakterizasyonu”, Yüksek Lisans Tezi, Gazi Üniversitesi, 2021.
  • 5. Ergene, B., Yalçın, B., “Eriyik yığma modelleme (EYM) ile üretilen çeşitli hücresel yapıların mekanik performanslarının incelenmesi” [Investigation On Mechanical Performances Of Various Cellular Structures Produced With Fused Deposition Modeling (FDM)] [article in Turkish], Journal of the Faculty of Engineering and Architecture of Gazi University, Vol. 38, Issue 1, Pages 201-218, 2023.
  • 6. Yazdani Sarvestani H., Akbarzadeh A. H., Niknam H., Hermenean K., “3D printed architected polymeric sandwich panels: Energy absorption and structural performance.” Composite Structures, Vol. 200, Pages 886-909, 2018.
  • 7. Alomarah, A., Ruan, D., Masood, S., Sbarski, I., Faisal, B., “An İnvestigation Of İn-Plane Tensile Properties Of Re-Entrant Chiral Auxetic Structure”, The International Journal of Advanced Manufacturing Technology, Vol. 96, Pages 2013-2029, 2018.
  • 8. Li, X., Wang, Q., Yang, Z., Lu, Z., “Novel Auxetic Structures With Enhanced Mechanical Properties. Extrem Mech Lett”, Extreme Mechanics Letters, Vol. 27, Pages 59-65, 2019.
  • 9. Li, C., Shen, H.S., Wang, H., “Nonlinear Dynamic Response Of Sandwich Plates With Functionally Graded Auxetic 3D Lattice Core”, Nonlinear Dynamics, Vol. 100, Pages 3235-3252, 2020.
  • 10. Alomarah, A., Masood, S.H., Sbarski, I., Faisal, B., Gao, Z., Ruan, D., “Compressive Properties Of 3D Printed Auxetic Structures: Experimental And Numerical Studies”, Virtual and Physical Prototyping, Vol. 15, Issue 1, Pages 1-21, 2020.
  • 11. Zhou, Y., Pan, Y., Chen, L., Gao, Q., Sun, B., “Mechanical Behaviors Of A Novel Auxetic Honeycomb Characterized By Re-Entrant Combined-Wall Hierarchical Substructures”, Materials Research Express, Vol. 9, Issue 11, 115802, 2022. 12. Türkoğlu, İ.K., “3 Boyutlu Eklemeli Üretim Yöntemiyle Üretilmiş Termoplastik Esaslı Ökzetik Çekirdek Geometrili Sandviç Yapıların Statik ve Dinamik Yükler Altında Davranışının Incelenmesi”, Doktora Tezi, [Investigation of Behavior of Thermoplastic Sandwich Structures With Auxetic Core Geometries Produced by 3 Dimensional Additive Manufacturing Method Under Static and Dynamic Loads] [PhD Thesis in Turkish], Bursa Uludag University, ProQuest Dissertations Publishing,  2020. 
  • 13. Yousefi, A., Jolaiy, S., Lalegani Dezaki, M., Zolfagharian, A., Serjouei, A., Bodaghi, M., “3D-Printed Soft And Hard Meta-Structures With Supreme Energy Absorption And Dissipation Capacities İn Cyclic Loading Conditions”, Advanced Engineering Materials, Vol. 25, Issue 4, 2201189, 2023.
  • 14. Cheng, X., Zhang, Y., Ren, X., Han, D., Jiang, W., Zhang, X.G., et. al., “Design And Mechanical Characteristics Of Auxetic Metamaterial With Tunable Stiffness”, International Journal of Mechanical Sciences, Vol. 223, 107286, 2022.
  • 15. Gülcan, O., Şimşek, U., Kavas, B., “Metal Additive Manufactured Functionally Graded Structures” , Mühendis ve Makine, Vol. 62, Issue 702, Pages 1-22, 2021.
  • 16. Karaca, A.A., “Auxetic malzemelerin deneysel olarak ve sonlu elemanlar metodu ile incelenmesi”, Yüksek Lisans Tezi, Bursa Teknik Üniversitesi, Bursa, 2016.
  • 17. Kabaoğlu, C., “Investigation Of Sandwich Composites With Auxetic Core Under Static Loading”, El-Cezerî Journal of Science and Engineering, Vol. 9, Issue 1, Pages 350-359, 2022.
  • 18. Demirbaş, M.D., Demir, O., “Determination Of Static Behavior Of Sandwich Composites With Negative Poisson Ratio”, International Journal of Engineering Research and Development, Vol. 14, Issue 1, Pages 347-359, 2022.
  • 19. Murat, F., Korkmaz, İ.H., Şensoy, A.T., Kaymaz, İ., “Eklemeli Üretim İle Elde Edilen Fonksiyonel Kademelendirilmiş Gözenekli İmplantlar”, Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım ve Teknoloji, Vol. 7, Issue 3, Pages 540-553,2019.
  • 20. Zhu, Y., Jiang, S., Zhang, Q., Li, J., Yu, C., Zhang, C., “A Novel Monoclinic Auxetic Metamaterial With Tunable Mechanical Properties”, International Journal of Mechanical Sciences, Vol. 236, 107750, 2022.
  • 21. Han, D., Ren, X., Zhang, Y., Yu Zhang, X., Gang Zhang, X., Luo, C., et. al., “Lightweight Auxetic Metamaterials: Design And Characteristic Study”, Composite Structures, Vol. 293, 115706, 2022.
  • 22. Hao, J., Han, D., Zhang, X.G., Zhang, Y., Jiang, W., Teng, X.C., et. al., “Novel Dual-Platform Lightweight Metamaterials With Auxeticity”, Engineering Structures, Vol. 270, 114891, 2022.
  • 23. Páscoa F.T., Machado C.M., Cardoso J.O., Borges J.P., Velhinho A., “Methodology for modelling and simulation of tailored 3D functionally graded auxetic metamaterials” The International Journal of Advanced Manufacturing Technology Vol. 125, Pages 4647–4661, 2023.
  • 24. Etemadi E., Hosseinabadi M., Scarpa F., Hu H., “Design, FDM printing, FE and theoretical analysis of auxetic structures consisting of arc-shaped and Dumbell-shaped struts under quasi-static loading” Composite Structures Vol. 326, 117602, 2023.
  • 25. Ge Z., Hu H., Liu Y., “A finite element analysis of a 3D auxetic textile structure for composite reinforcement” Smart Materials and Structures Vol. 22, 084005, 2013.
  • 26. Li Z.Y., Wang X.T., Ma L., Wu L.Z., Wang L., “Auxetic and failure characteristics of composite stacked origami cellular materials under compression” Thin-Walled Structures Vol. 184, 110453, 2023.
  • 27. Devalk, T., Lakes, R., “Poisson’s Ratio And Modulus of Gyroid Lattices”, Physica Status Solidi, Vol. 258, Issue 12, 2100081, 2021.
  • 28. Ha, C.S., Plesha, M.E., Lakes, R.S., “Chiral Three-Dimensional İsotropic Lattices With Negative Poisson’s Ratio”, Physica Status Solidi, Vol. 253, Issue 7, Pages 1243-1251, 2016.
  • 29. Hassan, A., Abood, A.M., Khalaf, H.I., Khazal, H., “A review of functionally graded materialsincluding their manufacture and applications”, Internatıonal Journal of Mechanical Engineering, Vol. 7, Issue 1, Pages 744-755, 2022.
  • 30. Hüner B., Kıstı M., Uysal S., Uzgören İ.N., Özdoǧan E., Süzen Y.O., et al. “An Overview of Various Additive Manufacturing Technologies and Materials for Electrochemical Energy Conversion Applications” ACS Omega, Vol. 7, Issue 45, Pages 40638–40658.
  • 31. Shekhar N., Mondal A., “Synthesis, properties, environmental degradation, processing, and applications of Polylactic Acid (PLA): an overview” Polymer Bulletin, Vol. 81, Issue 13, Pages 11421-11457, 2024.
  • 32. Farah S., Anderson D.G., Langer R.. “Physical and mechanical properties of PLA, and their functions in widespread applications —A comprehensive review” Adv Drug Deliv Rev, Vol. 107, Pages 367–392, 2016.

DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES

Year 2024, Volume: 8 Issue: 3, 303 - 315, 30.12.2024
https://doi.org/10.46519/ij3dptdi.1418791

Abstract

The development of lightweight structures that utilize minimal material while maintaining desired mechanical properties has become increasingly significant with advancements in manufacturing technologies, attracting the attention of researchers. Additive manufacturing methods have enabled the rapid production and testing of new design prototypes, thereby accelerating research in this domain. This study aims to investigate new designs through the functional grading approach applied to auxetic structures. Drawing on established structural patterns from the literature, three patterns were selected for this study. These patterns were modeled with varying wall thicknesses in line with the functional grading approach, and static analyses were conducted using the Ansys Workbench program. For the static analysis, a uniform deformation value was applied to each structure, and the reaction forces at the fixed end were used as the comparison criterion. When the re-entrant, rcw-honeycomb, and elliptical patterns were redesigned using the functional grading approach, their weights increased by 13%, 9%, and 12%, respectively. However, the reaction forces, which serve as an indicator of the structures' load-carrying capacity, showed increases of 68%, 56%, and 43%, respectively. These results underscore the effectiveness of the functional grading approach in enhancing the load capacity of auxetic structures.

Project Number

FYL-2023-5861

References

  • 1. Ken E. E., “Auxetic polymers: a new range of materials” Endeavour,Vol. 15, Issue 4, Pages 170–174,1991.
  • 2. Uzun M., “Negatif Poi̇sson Oranina Sahi̇p (Auxetic) Malzemeler Ve Uygulama Alanlari Negative Poisson Ratio (Auxetic) Materials and Their Applications” J Text Eng, Vol.77, Pages 14–18, 2017.
  • 3. Öztürk B., “3 Boyutlu Yazıcı İle Üretilen Sandviç Yapıların Statik Ve Dinamik Yük Altında Davranışlarının İncelenmesi”,Yüksek Lisans Tezi Bursa Teknik Üniversitesi, 2020.
  • 4. Özen AT., “Re-Entrant Şekilli Ökzetik Yapıların Ve Bor Nitrür Katkılı Filamentlerin Katmanlı İmalat İle Üretimi Ve Karakterizasyonu”, Yüksek Lisans Tezi, Gazi Üniversitesi, 2021.
  • 5. Ergene, B., Yalçın, B., “Eriyik yığma modelleme (EYM) ile üretilen çeşitli hücresel yapıların mekanik performanslarının incelenmesi” [Investigation On Mechanical Performances Of Various Cellular Structures Produced With Fused Deposition Modeling (FDM)] [article in Turkish], Journal of the Faculty of Engineering and Architecture of Gazi University, Vol. 38, Issue 1, Pages 201-218, 2023.
  • 6. Yazdani Sarvestani H., Akbarzadeh A. H., Niknam H., Hermenean K., “3D printed architected polymeric sandwich panels: Energy absorption and structural performance.” Composite Structures, Vol. 200, Pages 886-909, 2018.
  • 7. Alomarah, A., Ruan, D., Masood, S., Sbarski, I., Faisal, B., “An İnvestigation Of İn-Plane Tensile Properties Of Re-Entrant Chiral Auxetic Structure”, The International Journal of Advanced Manufacturing Technology, Vol. 96, Pages 2013-2029, 2018.
  • 8. Li, X., Wang, Q., Yang, Z., Lu, Z., “Novel Auxetic Structures With Enhanced Mechanical Properties. Extrem Mech Lett”, Extreme Mechanics Letters, Vol. 27, Pages 59-65, 2019.
  • 9. Li, C., Shen, H.S., Wang, H., “Nonlinear Dynamic Response Of Sandwich Plates With Functionally Graded Auxetic 3D Lattice Core”, Nonlinear Dynamics, Vol. 100, Pages 3235-3252, 2020.
  • 10. Alomarah, A., Masood, S.H., Sbarski, I., Faisal, B., Gao, Z., Ruan, D., “Compressive Properties Of 3D Printed Auxetic Structures: Experimental And Numerical Studies”, Virtual and Physical Prototyping, Vol. 15, Issue 1, Pages 1-21, 2020.
  • 11. Zhou, Y., Pan, Y., Chen, L., Gao, Q., Sun, B., “Mechanical Behaviors Of A Novel Auxetic Honeycomb Characterized By Re-Entrant Combined-Wall Hierarchical Substructures”, Materials Research Express, Vol. 9, Issue 11, 115802, 2022. 12. Türkoğlu, İ.K., “3 Boyutlu Eklemeli Üretim Yöntemiyle Üretilmiş Termoplastik Esaslı Ökzetik Çekirdek Geometrili Sandviç Yapıların Statik ve Dinamik Yükler Altında Davranışının Incelenmesi”, Doktora Tezi, [Investigation of Behavior of Thermoplastic Sandwich Structures With Auxetic Core Geometries Produced by 3 Dimensional Additive Manufacturing Method Under Static and Dynamic Loads] [PhD Thesis in Turkish], Bursa Uludag University, ProQuest Dissertations Publishing,  2020. 
  • 13. Yousefi, A., Jolaiy, S., Lalegani Dezaki, M., Zolfagharian, A., Serjouei, A., Bodaghi, M., “3D-Printed Soft And Hard Meta-Structures With Supreme Energy Absorption And Dissipation Capacities İn Cyclic Loading Conditions”, Advanced Engineering Materials, Vol. 25, Issue 4, 2201189, 2023.
  • 14. Cheng, X., Zhang, Y., Ren, X., Han, D., Jiang, W., Zhang, X.G., et. al., “Design And Mechanical Characteristics Of Auxetic Metamaterial With Tunable Stiffness”, International Journal of Mechanical Sciences, Vol. 223, 107286, 2022.
  • 15. Gülcan, O., Şimşek, U., Kavas, B., “Metal Additive Manufactured Functionally Graded Structures” , Mühendis ve Makine, Vol. 62, Issue 702, Pages 1-22, 2021.
  • 16. Karaca, A.A., “Auxetic malzemelerin deneysel olarak ve sonlu elemanlar metodu ile incelenmesi”, Yüksek Lisans Tezi, Bursa Teknik Üniversitesi, Bursa, 2016.
  • 17. Kabaoğlu, C., “Investigation Of Sandwich Composites With Auxetic Core Under Static Loading”, El-Cezerî Journal of Science and Engineering, Vol. 9, Issue 1, Pages 350-359, 2022.
  • 18. Demirbaş, M.D., Demir, O., “Determination Of Static Behavior Of Sandwich Composites With Negative Poisson Ratio”, International Journal of Engineering Research and Development, Vol. 14, Issue 1, Pages 347-359, 2022.
  • 19. Murat, F., Korkmaz, İ.H., Şensoy, A.T., Kaymaz, İ., “Eklemeli Üretim İle Elde Edilen Fonksiyonel Kademelendirilmiş Gözenekli İmplantlar”, Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım ve Teknoloji, Vol. 7, Issue 3, Pages 540-553,2019.
  • 20. Zhu, Y., Jiang, S., Zhang, Q., Li, J., Yu, C., Zhang, C., “A Novel Monoclinic Auxetic Metamaterial With Tunable Mechanical Properties”, International Journal of Mechanical Sciences, Vol. 236, 107750, 2022.
  • 21. Han, D., Ren, X., Zhang, Y., Yu Zhang, X., Gang Zhang, X., Luo, C., et. al., “Lightweight Auxetic Metamaterials: Design And Characteristic Study”, Composite Structures, Vol. 293, 115706, 2022.
  • 22. Hao, J., Han, D., Zhang, X.G., Zhang, Y., Jiang, W., Teng, X.C., et. al., “Novel Dual-Platform Lightweight Metamaterials With Auxeticity”, Engineering Structures, Vol. 270, 114891, 2022.
  • 23. Páscoa F.T., Machado C.M., Cardoso J.O., Borges J.P., Velhinho A., “Methodology for modelling and simulation of tailored 3D functionally graded auxetic metamaterials” The International Journal of Advanced Manufacturing Technology Vol. 125, Pages 4647–4661, 2023.
  • 24. Etemadi E., Hosseinabadi M., Scarpa F., Hu H., “Design, FDM printing, FE and theoretical analysis of auxetic structures consisting of arc-shaped and Dumbell-shaped struts under quasi-static loading” Composite Structures Vol. 326, 117602, 2023.
  • 25. Ge Z., Hu H., Liu Y., “A finite element analysis of a 3D auxetic textile structure for composite reinforcement” Smart Materials and Structures Vol. 22, 084005, 2013.
  • 26. Li Z.Y., Wang X.T., Ma L., Wu L.Z., Wang L., “Auxetic and failure characteristics of composite stacked origami cellular materials under compression” Thin-Walled Structures Vol. 184, 110453, 2023.
  • 27. Devalk, T., Lakes, R., “Poisson’s Ratio And Modulus of Gyroid Lattices”, Physica Status Solidi, Vol. 258, Issue 12, 2100081, 2021.
  • 28. Ha, C.S., Plesha, M.E., Lakes, R.S., “Chiral Three-Dimensional İsotropic Lattices With Negative Poisson’s Ratio”, Physica Status Solidi, Vol. 253, Issue 7, Pages 1243-1251, 2016.
  • 29. Hassan, A., Abood, A.M., Khalaf, H.I., Khazal, H., “A review of functionally graded materialsincluding their manufacture and applications”, Internatıonal Journal of Mechanical Engineering, Vol. 7, Issue 1, Pages 744-755, 2022.
  • 30. Hüner B., Kıstı M., Uysal S., Uzgören İ.N., Özdoǧan E., Süzen Y.O., et al. “An Overview of Various Additive Manufacturing Technologies and Materials for Electrochemical Energy Conversion Applications” ACS Omega, Vol. 7, Issue 45, Pages 40638–40658.
  • 31. Shekhar N., Mondal A., “Synthesis, properties, environmental degradation, processing, and applications of Polylactic Acid (PLA): an overview” Polymer Bulletin, Vol. 81, Issue 13, Pages 11421-11457, 2024.
  • 32. Farah S., Anderson D.G., Langer R.. “Physical and mechanical properties of PLA, and their functions in widespread applications —A comprehensive review” Adv Drug Deliv Rev, Vol. 107, Pages 367–392, 2016.
There are 31 citations in total.

Details

Primary Language English
Subjects Mechanical Engineering (Other)
Journal Section Research Article
Authors

Mert Özen 0009-0001-0630-8327

Hamit Kenan 0000-0001-8615-5406

C. Oktay Azeloğlu 0000-0001-5283-9447

Project Number FYL-2023-5861
Publication Date December 30, 2024
Submission Date January 12, 2024
Acceptance Date September 12, 2024
Published in Issue Year 2024 Volume: 8 Issue: 3

Cite

APA Özen, M., Kenan, H., & Azeloğlu, C. O. (2024). DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES. International Journal of 3D Printing Technologies and Digital Industry, 8(3), 303-315. https://doi.org/10.46519/ij3dptdi.1418791
AMA Özen M, Kenan H, Azeloğlu CO. DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES. IJ3DPTDI. December 2024;8(3):303-315. doi:10.46519/ij3dptdi.1418791
Chicago Özen, Mert, Hamit Kenan, and C. Oktay Azeloğlu. “DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES”. International Journal of 3D Printing Technologies and Digital Industry 8, no. 3 (December 2024): 303-15. https://doi.org/10.46519/ij3dptdi.1418791.
EndNote Özen M, Kenan H, Azeloğlu CO (December 1, 2024) DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES. International Journal of 3D Printing Technologies and Digital Industry 8 3 303–315.
IEEE M. Özen, H. Kenan, and C. O. Azeloğlu, “DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES”, IJ3DPTDI, vol. 8, no. 3, pp. 303–315, 2024, doi: 10.46519/ij3dptdi.1418791.
ISNAD Özen, Mert et al. “DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES”. International Journal of 3D Printing Technologies and Digital Industry 8/3 (December 2024), 303-315. https://doi.org/10.46519/ij3dptdi.1418791.
JAMA Özen M, Kenan H, Azeloğlu CO. DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES. IJ3DPTDI. 2024;8:303–315.
MLA Özen, Mert et al. “DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES”. International Journal of 3D Printing Technologies and Digital Industry, vol. 8, no. 3, 2024, pp. 303-15, doi:10.46519/ij3dptdi.1418791.
Vancouver Özen M, Kenan H, Azeloğlu CO. DESIGN AND FINITE ELEMENT ASSESSMENT OF FUNCTIONALLY GRADED AUXETIC STRUCTURES. IJ3DPTDI. 2024;8(3):303-15.

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