Hierarchical sheet triply periodic minimal surface lattices: Design, geometric and mechanical performance
Lattices with hierarchical architectures exhibit unique geometric and mechanical properties compared with single scale ones. While numerous research efforts have focused on hierarchical strut lattices, hierarchical sheet lattices have yet to be studied in detail. This paper proposes a systemic frame...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-11-01
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| Series: | Materials & Design |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0264127521004846 |
| _version_ | 1831559480747229184 |
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| author | Lei Zhang Zhiheng Hu Michael Yu Wang Stefanie Feih |
| author_facet | Lei Zhang Zhiheng Hu Michael Yu Wang Stefanie Feih |
| author_sort | Lei Zhang |
| collection | DOAJ |
| description | Lattices with hierarchical architectures exhibit unique geometric and mechanical properties compared with single scale ones. While numerous research efforts have focused on hierarchical strut lattices, hierarchical sheet lattices have yet to be studied in detail. This paper proposes a systemic framework including geometric design, finite element modelling, additive manufacturing, and mechanical testing for hierarchical sheet triply periodic minimal surface (TPMS) lattices such that the lattice walls comprise successively smaller scale TPMS architectures. Geometric properties including relative densities and volume-specific surface areas of hierarchical lattices are analytically calculated and verified via numerical calculations. The compressive properties of 2-order sheet Gyroid lattices are investigated with finite element simulations and experimentally validated using micro-selective laser melting fabricated stainless-steel specimens. Geometric analysis shows that hierarchical sheet lattices have great potential to achieve a wide range of controllable geometric properties including hierarchical porosities, ultralow densities, and significantly enlarged surface areas. Simulation results indicate that 2-order lattices have superior buckling strength over single scale lattices at ultralow densities. At moderate densities, 2-order lattices exhibit reduced modulus and strength, but more stable failure behaviour. With these unique combinations of geometric and mechanical properties, hierarchical sheet TPMS designs are shown to be desirable structural configurations for biomedical scaffolds. |
| first_indexed | 2024-12-17T05:29:34Z |
| format | Article |
| id | doaj.art-b6b278452e19495890c2f360c6c40bb1 |
| institution | Directory Open Access Journal |
| issn | 0264-1275 |
| language | English |
| last_indexed | 2024-12-17T05:29:34Z |
| publishDate | 2021-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Materials & Design |
| spelling | doaj.art-b6b278452e19495890c2f360c6c40bb12022-12-21T22:01:46ZengElsevierMaterials & Design0264-12752021-11-01209109931Hierarchical sheet triply periodic minimal surface lattices: Design, geometric and mechanical performanceLei Zhang0Zhiheng Hu1Michael Yu Wang2Stefanie Feih3Singapore Institute of Manufacturing Technology (SIMTech), 73 Nanyang Drive, 637662, SingaporeSingapore Institute of Manufacturing Technology (SIMTech), 73 Nanyang Drive, 637662, SingaporeDepartment of Mechanical and Aerospace Engineering, Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong KongSingapore Institute of Manufacturing Technology (SIMTech), 73 Nanyang Drive, 637662, Singapore; Corresponding author.Lattices with hierarchical architectures exhibit unique geometric and mechanical properties compared with single scale ones. While numerous research efforts have focused on hierarchical strut lattices, hierarchical sheet lattices have yet to be studied in detail. This paper proposes a systemic framework including geometric design, finite element modelling, additive manufacturing, and mechanical testing for hierarchical sheet triply periodic minimal surface (TPMS) lattices such that the lattice walls comprise successively smaller scale TPMS architectures. Geometric properties including relative densities and volume-specific surface areas of hierarchical lattices are analytically calculated and verified via numerical calculations. The compressive properties of 2-order sheet Gyroid lattices are investigated with finite element simulations and experimentally validated using micro-selective laser melting fabricated stainless-steel specimens. Geometric analysis shows that hierarchical sheet lattices have great potential to achieve a wide range of controllable geometric properties including hierarchical porosities, ultralow densities, and significantly enlarged surface areas. Simulation results indicate that 2-order lattices have superior buckling strength over single scale lattices at ultralow densities. At moderate densities, 2-order lattices exhibit reduced modulus and strength, but more stable failure behaviour. With these unique combinations of geometric and mechanical properties, hierarchical sheet TPMS designs are shown to be desirable structural configurations for biomedical scaffolds.http://www.sciencedirect.com/science/article/pii/S0264127521004846Additive manufacturingSheet TPMS structuresHierarchical latticesMechanical properties |
| spellingShingle | Lei Zhang Zhiheng Hu Michael Yu Wang Stefanie Feih Hierarchical sheet triply periodic minimal surface lattices: Design, geometric and mechanical performance Materials & Design Additive manufacturing Sheet TPMS structures Hierarchical lattices Mechanical properties |
| title | Hierarchical sheet triply periodic minimal surface lattices: Design, geometric and mechanical performance |
| title_full | Hierarchical sheet triply periodic minimal surface lattices: Design, geometric and mechanical performance |
| title_fullStr | Hierarchical sheet triply periodic minimal surface lattices: Design, geometric and mechanical performance |
| title_full_unstemmed | Hierarchical sheet triply periodic minimal surface lattices: Design, geometric and mechanical performance |
| title_short | Hierarchical sheet triply periodic minimal surface lattices: Design, geometric and mechanical performance |
| title_sort | hierarchical sheet triply periodic minimal surface lattices design geometric and mechanical performance |
| topic | Additive manufacturing Sheet TPMS structures Hierarchical lattices Mechanical properties |
| url | http://www.sciencedirect.com/science/article/pii/S0264127521004846 |
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