Boundary and interface conditions in the relaxed micromorphic model: exploring finite-size metastructures for elastic wave control
| Autor: | Marco Valerio d'Agostino, Gianluca Rizzi, Patrizio Neff, Angela Madeo |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Scattering General Mathematics Mathematical analysis Metamaterial Boundary (topology) FOS: Physical sciences Physics - Applied Physics Applied Physics (physics.app-ph) Finite element method Square (algebra) Mechanics of Materials Mathematik General Materials Science Boundary value problem Anisotropy Energy (signal processing) |
| DOI: | 10.48550/arxiv.2105.00963 |
| Popis: | In this paper, we establish well-posed boundary and interface conditions for the relaxed micromorphic model that are able to unveil the scattering response of fully finite-size metamaterials' samples. The resulting relaxed micromorphic boundary value problem is implemented in finite element simulations describing the scattering of a square metamaterial's sample whose side counts 9 unit cells. The results are validated against a direct finite element simulation encoding all the details of the underlying metamaterial's microstructure. The relaxed micromorphic model can recover the scattering metamaterial's behavior for a wide range of frequencies and for all possible angles of incidence, thus showing that it is suitable to describe dynamic anisotropy. Finally, thanks to the model's computational performances, we can design a metastructure combining metamaterials and classical materials in such a way that it acts as a protection device while providing energy focusing in specific collection points. These results open important perspectives for the short-term design of sustainable structures that can control elastic waves and recover energy. Comment: 16 pages, 11 figures |
| Databáze: | OpenAIRE |
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