Abstract
A reduced-order homogenization framework is proposed, providing a macro-scale-enriched continuum model for locally resonant acoustic metamaterials operating in the subwavelength regime, for both time and frequency domain analyses. The homogenized continuum has a non-standard constitutive model, capturing a metamaterial behaviour such as negative effective bulk modulus, negative effective density and Willis coupling. A suitable reduced space is constructed based on the unit cell response in a steady-state regime and the local resonance regime. A frequency domain numerical example demonstrates the efficiency and suitability of the proposed framework.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.
| Original language | English |
|---|---|
| Article number | 20230368 |
| Number of pages | 22 |
| Journal | Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences |
| Volume | 382 |
| Issue number | 2279 |
| DOIs | |
| Publication status | Published - 23 Sept 2024 |
Funding
We would like to express our gratitude to the Dutch Research Council (NWO) for their financial support. This publication is part of the project SUBMETA with project number 17884 of the research programme \"Materials NL: Challenges 2018\"which is (partly) financed by the Dutch Research Council (NWO). This publication is part of the project SUBMETA with project number 17884 of the research programme \u201CMaterials NL: Challenges 2018\u201D which is (partly) financed by the Dutch Research Council (NWO). Acknowledgements
| Funders | Funder number |
|---|---|
| Nederlandse Organisatie voor Wetenschappelijk Onderzoek | 17884 |
Keywords
- equivalent fluid model
- homogenization
- locally resonant acoustic metamaterials
- micromorphic enriched continuum