Load specific phase-field based structural optimization and experimental validation of sheet-based gyroid structures
Abstract In the following, a detailed investigation of two phase-field based variants for optimizing unidirectionally loaded gyroid unit cells is presented. The optimization is conducted within the linear-elastic range, aiming to maximize the stiffness of the structure while preserving its periodici...
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| Format: | Article |
| Language: | English |
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Springer
2025-07-01
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| Series: | Discover Applied Sciences |
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| Online Access: | https://doi.org/10.1007/s42452-025-07204-w |
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| author | Leonie Wallat Michael Selzer Marcus Seiler Frank Poehler Britta Nestler |
| author_facet | Leonie Wallat Michael Selzer Marcus Seiler Frank Poehler Britta Nestler |
| author_sort | Leonie Wallat |
| collection | DOAJ |
| description | Abstract In the following, a detailed investigation of two phase-field based variants for optimizing unidirectionally loaded gyroid unit cells is presented. The optimization is conducted within the linear-elastic range, aiming to maximize the stiffness of the structure while preserving its periodicity. In the first approach, a gyroid unit cell with an initial porosity of approximately 75% is volumetrically reduced by 5%. This volume reduction in the less stressed regions results in a topological modification of the structure. In the second approach, a gyroid unit cell with an initial porosity of approximately 80% is also volumetrically reduced by 5%. Subsequently, the volume is increased by 5% through a phase-field based shape optimization process, resulting in a final porosity of 80%. Both modified structures are compared to a reference structure-an unmodified gyroid structure with a porosity of 80%. The results indicate that the modified structures exhibit an approximately 32% higher effective Young’s modulus. Furthermore, a correlation between the simulation results and experimental data is established. |
| format | Article |
| id | doaj-art-73f2fbc109d64fad88e890c8149eab7d |
| institution | Kabale University |
| issn | 3004-9261 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Springer |
| record_format | Article |
| series | Discover Applied Sciences |
| spelling | doaj-art-73f2fbc109d64fad88e890c8149eab7d2025-08-20T04:01:41ZengSpringerDiscover Applied Sciences3004-92612025-07-017711310.1007/s42452-025-07204-wLoad specific phase-field based structural optimization and experimental validation of sheet-based gyroid structuresLeonie Wallat0Michael Selzer1Marcus Seiler2Frank Poehler3Britta Nestler4Institute of Digital Materials Science, Karlsruhe University of Applied SciencesInstitute of Digital Materials Science, Karlsruhe University of Applied SciencesReOss GmbHInstitute of Materials and Processes, Karlsruhe University of Applied SciencesInstitute of Digital Materials Science, Karlsruhe University of Applied SciencesAbstract In the following, a detailed investigation of two phase-field based variants for optimizing unidirectionally loaded gyroid unit cells is presented. The optimization is conducted within the linear-elastic range, aiming to maximize the stiffness of the structure while preserving its periodicity. In the first approach, a gyroid unit cell with an initial porosity of approximately 75% is volumetrically reduced by 5%. This volume reduction in the less stressed regions results in a topological modification of the structure. In the second approach, a gyroid unit cell with an initial porosity of approximately 80% is also volumetrically reduced by 5%. Subsequently, the volume is increased by 5% through a phase-field based shape optimization process, resulting in a final porosity of 80%. Both modified structures are compared to a reference structure-an unmodified gyroid structure with a porosity of 80%. The results indicate that the modified structures exhibit an approximately 32% higher effective Young’s modulus. Furthermore, a correlation between the simulation results and experimental data is established.https://doi.org/10.1007/s42452-025-07204-wTopology modificationShape optimizationGyroidTPMS-structuresPhase-field |
| spellingShingle | Leonie Wallat Michael Selzer Marcus Seiler Frank Poehler Britta Nestler Load specific phase-field based structural optimization and experimental validation of sheet-based gyroid structures Discover Applied Sciences Topology modification Shape optimization Gyroid TPMS-structures Phase-field |
| title | Load specific phase-field based structural optimization and experimental validation of sheet-based gyroid structures |
| title_full | Load specific phase-field based structural optimization and experimental validation of sheet-based gyroid structures |
| title_fullStr | Load specific phase-field based structural optimization and experimental validation of sheet-based gyroid structures |
| title_full_unstemmed | Load specific phase-field based structural optimization and experimental validation of sheet-based gyroid structures |
| title_short | Load specific phase-field based structural optimization and experimental validation of sheet-based gyroid structures |
| title_sort | load specific phase field based structural optimization and experimental validation of sheet based gyroid structures |
| topic | Topology modification Shape optimization Gyroid TPMS-structures Phase-field |
| url | https://doi.org/10.1007/s42452-025-07204-w |
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