Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterials
Triply periodic minimal surfaces (TPMS) can create high performance, multifunctional, metamaterials that are lightweight and have highly tailorable properties. However, such TPMS structures are typically highly anisotropic in terms of stiffness, which is often undesirable for applications where load...
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Taylor & Francis Group
2025-12-01
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| Series: | Virtual and Physical Prototyping |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/17452759.2024.2449569 |
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| author | Stephen Daynes |
| author_facet | Stephen Daynes |
| author_sort | Stephen Daynes |
| collection | DOAJ |
| description | Triply periodic minimal surfaces (TPMS) can create high performance, multifunctional, metamaterials that are lightweight and have highly tailorable properties. However, such TPMS structures are typically highly anisotropic in terms of stiffness, which is often undesirable for applications where loading direction is variable or unknown a priori. In this paper, a new TPMS-based design strategy is presented based on shape function mapping to achieve elastic isotropy. The optimised TPMS-based isotropic designs reveal a wide design space in terms of Young's modulus and Poisson's ratio. At 20% relative density, the Poisson's ratio is shown to be tuneable between the extremes of v = 0.29, conventional behaviour, and [Formula: see text] = −0.38, auxetic behaviour. A unique design point is identified with both a zero Poisson's ratio and elastic isotropy. Design optimisation is performed using finite element analysis, which is subsequently experimentally validated with additively manufactured demonstrators and uniaxial compression testing. |
| format | Article |
| id | doaj-art-dc01edb6a5fb405096fccec32aa44657 |
| institution | DOAJ |
| issn | 1745-2759 1745-2767 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Virtual and Physical Prototyping |
| spelling | doaj-art-dc01edb6a5fb405096fccec32aa446572025-08-20T03:06:31ZengTaylor & Francis GroupVirtual and Physical Prototyping1745-27591745-27672025-12-0120110.1080/17452759.2024.2449569Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterialsStephen Daynes0Department of Mechanical Engineering, University of Canterbury, Christchurch, New ZealandTriply periodic minimal surfaces (TPMS) can create high performance, multifunctional, metamaterials that are lightweight and have highly tailorable properties. However, such TPMS structures are typically highly anisotropic in terms of stiffness, which is often undesirable for applications where loading direction is variable or unknown a priori. In this paper, a new TPMS-based design strategy is presented based on shape function mapping to achieve elastic isotropy. The optimised TPMS-based isotropic designs reveal a wide design space in terms of Young's modulus and Poisson's ratio. At 20% relative density, the Poisson's ratio is shown to be tuneable between the extremes of v = 0.29, conventional behaviour, and [Formula: see text] = −0.38, auxetic behaviour. A unique design point is identified with both a zero Poisson's ratio and elastic isotropy. Design optimisation is performed using finite element analysis, which is subsequently experimentally validated with additively manufactured demonstrators and uniaxial compression testing.https://www.tandfonline.com/doi/10.1080/17452759.2024.2449569Isotropytriply periodic minimal surface (TPMS)additive manufacturingauxeticmetamaterial |
| spellingShingle | Stephen Daynes Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterials Virtual and Physical Prototyping Isotropy triply periodic minimal surface (TPMS) additive manufacturing auxetic metamaterial |
| title | Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterials |
| title_full | Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterials |
| title_fullStr | Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterials |
| title_full_unstemmed | Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterials |
| title_short | Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterials |
| title_sort | elastically isotropic auxetic and zero poisson s ratio tpms based metamaterials |
| topic | Isotropy triply periodic minimal surface (TPMS) additive manufacturing auxetic metamaterial |
| url | https://www.tandfonline.com/doi/10.1080/17452759.2024.2449569 |
| work_keys_str_mv | AT stephendaynes elasticallyisotropicauxeticandzeropoissonsratiotpmsbasedmetamaterials |