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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2025-07-01
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| Series: | Discover Applied Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s42452-025-07204-w |
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| Summary: | 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. |
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| ISSN: | 3004-9261 |