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Star-Shaped Metrics for Mechanical Metamaterial Design

Jonàs Martínez 1 Mélina Skouras 2 Christian Schumacher 3 Samuel Hornus 1 Sylvain Lefebvre 1 Bernhard Thomaszewski 4 
1 MFX - Matter from Graphics
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
2 IMAGINE - Intuitive Modeling and Animation for Interactive Graphics & Narrative Environments
Inria Grenoble - Rhône-Alpes, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann
Abstract : We present a method for designing mechanical metamaterials based on the novel concept of Voronoi diagrams induced by star-shaped metrics. As one of its central advantages, our approach supports interpolation between arbitrary metrics. This capability opens up a rich space of structures with interesting aesthetics and a wide range of mechanical properties, including isotropic, tetragonal, orthotropic, as well as smoothly graded materials. We evaluate our method by creating large sets of example structures, provided as accompanying material. We validate the mechanical properties predicted by simulation through tensile tests on a set of physical prototypes.
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Submitted on : Friday, May 3, 2019 - 1:29:58 PM
Last modification on : Saturday, July 23, 2022 - 3:52:55 AM




Jonàs Martínez, Mélina Skouras, Christian Schumacher, Samuel Hornus, Sylvain Lefebvre, et al.. Star-Shaped Metrics for Mechanical Metamaterial Design. ACM Transactions on Graphics, 2019, 38 (4), pp.Article No. 82 :1-13. ⟨10.1145/3306346.3322989⟩. ⟨hal-02118846⟩



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