Design and Study of Fractal-Inspired Metamaterials with Equal Density Made from a Strong and Tough Thermoplastic
In this study, we created metamaterials consisting of square unit cells—inspired by fractal geometry—and described the parametric equation necessary for their creation. The area and thus the volume (density) and mass of these metamaterials are constant regardless of the number of cells. They were cr...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/15/12/2650 |
| _version_ | 1797592922694090752 |
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| author | Levente Széles Richárd Horváth János Péter Rádics |
| author_facet | Levente Széles Richárd Horváth János Péter Rádics |
| author_sort | Levente Széles |
| collection | DOAJ |
| description | In this study, we created metamaterials consisting of square unit cells—inspired by fractal geometry—and described the parametric equation necessary for their creation. The area and thus the volume (density) and mass of these metamaterials are constant regardless of the number of cells. They were created with two layout types; one consists solely of compressed rod elements (ordered layout), and in the other layout, due to a geometrical offset, certain regions are exposed to bending (offset layout). In addition to creating new metamaterial structures, our aim was to study their energy absorption and failure. Finite element analysis was performed on their expected behavior and deformation when subjected to compression. Specimens were printed from polyamide with additive technology in order to compare and validate the results of the FEM simulations with real compression tests. Based on these results, increasing the number of cells results in a more stable behavior and increased load-bearing capacity. Furthermore, by increasing the number of cells from 4 to 36, the energy absorption capability doubles; however, further increase does not significantly change this capability. As for the effect of layout, the offset structures are 27% softer, on average, but exhibit a more stable deformation behavior. |
| first_indexed | 2024-03-11T02:01:05Z |
| format | Article |
| id | doaj.art-80aafd1bc0ce4ff78ed39fde74f7d074 |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-11T02:01:05Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-80aafd1bc0ce4ff78ed39fde74f7d0742023-11-18T12:12:45ZengMDPI AGPolymers2073-43602023-06-011512265010.3390/polym15122650Design and Study of Fractal-Inspired Metamaterials with Equal Density Made from a Strong and Tough ThermoplasticLevente Széles0Richárd Horváth1János Péter Rádics2Doctoral School on Materials Sciences and Technologies, Óbuda University, H-1034 Budapest, HungaryBánki Donát Faculty of Mechanical and Safety Engineering, Óbuda University, H-1034 Budapest, HungaryBánki Donát Faculty of Mechanical and Safety Engineering, Óbuda University, H-1034 Budapest, HungaryIn this study, we created metamaterials consisting of square unit cells—inspired by fractal geometry—and described the parametric equation necessary for their creation. The area and thus the volume (density) and mass of these metamaterials are constant regardless of the number of cells. They were created with two layout types; one consists solely of compressed rod elements (ordered layout), and in the other layout, due to a geometrical offset, certain regions are exposed to bending (offset layout). In addition to creating new metamaterial structures, our aim was to study their energy absorption and failure. Finite element analysis was performed on their expected behavior and deformation when subjected to compression. Specimens were printed from polyamide with additive technology in order to compare and validate the results of the FEM simulations with real compression tests. Based on these results, increasing the number of cells results in a more stable behavior and increased load-bearing capacity. Furthermore, by increasing the number of cells from 4 to 36, the energy absorption capability doubles; however, further increase does not significantly change this capability. As for the effect of layout, the offset structures are 27% softer, on average, but exhibit a more stable deformation behavior.https://www.mdpi.com/2073-4360/15/12/2650fractal-inspired geometrylattice structurefinite element methodadditive manufacturingcompressive behaviorenergy absorption |
| spellingShingle | Levente Széles Richárd Horváth János Péter Rádics Design and Study of Fractal-Inspired Metamaterials with Equal Density Made from a Strong and Tough Thermoplastic Polymers fractal-inspired geometry lattice structure finite element method additive manufacturing compressive behavior energy absorption |
| title | Design and Study of Fractal-Inspired Metamaterials with Equal Density Made from a Strong and Tough Thermoplastic |
| title_full | Design and Study of Fractal-Inspired Metamaterials with Equal Density Made from a Strong and Tough Thermoplastic |
| title_fullStr | Design and Study of Fractal-Inspired Metamaterials with Equal Density Made from a Strong and Tough Thermoplastic |
| title_full_unstemmed | Design and Study of Fractal-Inspired Metamaterials with Equal Density Made from a Strong and Tough Thermoplastic |
| title_short | Design and Study of Fractal-Inspired Metamaterials with Equal Density Made from a Strong and Tough Thermoplastic |
| title_sort | design and study of fractal inspired metamaterials with equal density made from a strong and tough thermoplastic |
| topic | fractal-inspired geometry lattice structure finite element method additive manufacturing compressive behavior energy absorption |
| url | https://www.mdpi.com/2073-4360/15/12/2650 |
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