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A metacontinuum model for phase gradient metasurfaces
Acoustic metamaterials and metasurfaces often present complex geometries and microstructures. The development of models of reduced complexity is fundamental to alleviate the computational cost of their analysis and derivation of optimal designs. The main objective of this paper is the derivation and...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10415379/ https://www.ncbi.nlm.nih.gov/pubmed/37563187 http://dx.doi.org/10.1038/s41598-023-39956-z |
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author | Palma, Giorgio Iemma, Umberto |
author_facet | Palma, Giorgio Iemma, Umberto |
author_sort | Palma, Giorgio |
collection | PubMed |
description | Acoustic metamaterials and metasurfaces often present complex geometries and microstructures. The development of models of reduced complexity is fundamental to alleviate the computational cost of their analysis and derivation of optimal designs. The main objective of this paper is the derivation and validation of a metacontinuum model for phase gradient-based metasurfaces. The method is based on the transformation acoustics framework and defines the metasurface in terms of anisotropic inertia and bulk modulus. Thermal and viscous dissipation effects in the metacontinuum are accounted for by introducing a complex-valued speed of sound. The model is implemented in a commercial FEM code, and its predictions are compared with numerical simulations on the original geometry and also using an equivalent boundary impedance approach. The results are examined for an exterior acoustics benchmark and for an in-duct installation in terms of transmission coefficient with the four-pole matrix method. The metacontinuum model gives solid results for the prediction of the acoustic properties of the examined metasurface samples for all the analyzed configurations, as accurate as the equivalent impedance model on which it is based and outperforming it in some circumstances. |
format | Online Article Text |
id | pubmed-10415379 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-104153792023-08-12 A metacontinuum model for phase gradient metasurfaces Palma, Giorgio Iemma, Umberto Sci Rep Article Acoustic metamaterials and metasurfaces often present complex geometries and microstructures. The development of models of reduced complexity is fundamental to alleviate the computational cost of their analysis and derivation of optimal designs. The main objective of this paper is the derivation and validation of a metacontinuum model for phase gradient-based metasurfaces. The method is based on the transformation acoustics framework and defines the metasurface in terms of anisotropic inertia and bulk modulus. Thermal and viscous dissipation effects in the metacontinuum are accounted for by introducing a complex-valued speed of sound. The model is implemented in a commercial FEM code, and its predictions are compared with numerical simulations on the original geometry and also using an equivalent boundary impedance approach. The results are examined for an exterior acoustics benchmark and for an in-duct installation in terms of transmission coefficient with the four-pole matrix method. The metacontinuum model gives solid results for the prediction of the acoustic properties of the examined metasurface samples for all the analyzed configurations, as accurate as the equivalent impedance model on which it is based and outperforming it in some circumstances. Nature Publishing Group UK 2023-08-10 /pmc/articles/PMC10415379/ /pubmed/37563187 http://dx.doi.org/10.1038/s41598-023-39956-z Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Palma, Giorgio Iemma, Umberto A metacontinuum model for phase gradient metasurfaces |
title | A metacontinuum model for phase gradient metasurfaces |
title_full | A metacontinuum model for phase gradient metasurfaces |
title_fullStr | A metacontinuum model for phase gradient metasurfaces |
title_full_unstemmed | A metacontinuum model for phase gradient metasurfaces |
title_short | A metacontinuum model for phase gradient metasurfaces |
title_sort | metacontinuum model for phase gradient metasurfaces |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10415379/ https://www.ncbi.nlm.nih.gov/pubmed/37563187 http://dx.doi.org/10.1038/s41598-023-39956-z |
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