Geometric Construction of Auxetic Metamaterials

dc.contributor.authorBonneau, Georges-Pierreen_US
dc.contributor.authorHahmann, Stefanieen_US
dc.contributor.authorMarku, Johanaen_US
dc.contributor.editorMitra, Niloy and Viola, Ivanen_US
dc.date.accessioned2021-04-09T08:00:43Z
dc.date.available2021-04-09T08:00:43Z
dc.date.issued2021
dc.description.abstractThis paper is devoted to a category of metamaterials called auxetics, identified by their negative Poisson's ratio. Our work consists in exploring geometrical strategies to generate irregular auxetic structures. More precisely we seek to reduce the Poisson's ratio n, by pruning an irregular network based solely on geometric criteria. We introduce a strategy combining a pure geometric pruning algorithm followed by a physics-based testing phase to determine the resulting Poisson's ratio of our structures. We propose an algorithm that generates sets of irregular auxetic networks. Our contributions include geometrical characterization of auxetic networks, development of a pruning strategy, generation of auxetic networks with low Poisson's ratio, as well as validation of our approach.We provide statistical validation of our approach on large sets of irregular networks, and we additionally laser-cut auxetic networks in sheets of rubber. The findings reported here show that it is possible to reduce the Poisson's ratio by geometric pruning, and that we can generate irregular auxetic networks at lower processing times than a physics-based approach.en_US
dc.description.number2
dc.description.sectionheadersMesh Generation
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume40
dc.identifier.doi10.1111/cgf.142633
dc.identifier.issn1467-8659
dc.identifier.pages291-304
dc.identifier.urihttps://doi.org/10.1111/cgf.142633
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf142633
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.titleGeometric Construction of Auxetic Metamaterialsen_US
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