An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials

Renan Liupekevicius; J.A.W. (Hans) van Dommelen; Marc G.D. Geers; Varvara G. Kouznetsova

doi:10.1098/rsta.2023.0368

An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials

Renan Liupekevicius, J.A.W. (Hans) van Dommelen, Marc G.D. Geers, Varvara G. Kouznetsova (Corresponding author)

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

2 Citaten (Scopus)

29 Downloads (Pure)

Samenvatting

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)'.

Originele taal-2	Engels
Artikelnummer	20230368
Aantal pagina's	22
Tijdschrift	Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences
Volume	382
Nummer van het tijdschrift	2279
DOI's	https://doi.org/10.1098/rsta.2023.0368
Status	Gepubliceerd - 23 sep. 2024

Financiering

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

Financiers	Financiernummer
Nederlandse Organisatie voor Wetenschappelijk Onderzoek	17884

Toegang tot document

10.1098/rsta.2023.0368

pdfDefinitieve gepubliceerde versie, 1,68 MBLicentie: CC BY

Andere bestanden en links

Link naar publicatie in Scopus

Citeer dit

@article{226b8102f21049449d081ef7bc054fcc,

title = "An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials",

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)'.",

keywords = "equivalent fluid model, homogenization, locally resonant acoustic metamaterials, micromorphic enriched continuum",

author = "Renan Liupekevicius and {van Dommelen}, {J.A.W. (Hans)} and Geers, {Marc G.D.} and Kouznetsova, {Varvara G.}",

year = "2024",

month = sep,

day = "23",

doi = "10.1098/rsta.2023.0368",

language = "English",

volume = "382",

journal = "Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences",

issn = "1364-503X",

publisher = "The Royal Society",

number = "2279",

}

An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials. / Liupekevicius, Renan ; van Dommelen, J.A.W. (Hans); Geers, Marc G.D. et al.
In: Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences, Vol. 382, Nr. 2279, 20230368, 23.09.2024.

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

TY - JOUR

T1 - An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials

AU - Liupekevicius, Renan

AU - van Dommelen, J.A.W. (Hans)

AU - Geers, Marc G.D.

AU - Kouznetsova, Varvara G.

PY - 2024/9/23

Y1 - 2024/9/23

N2 - 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)'.

AB - 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)'.

KW - equivalent fluid model

KW - homogenization

KW - locally resonant acoustic metamaterials

KW - micromorphic enriched continuum

UR - http://www.scopus.com/inward/record.url?scp=85201141451&partnerID=8YFLogxK

U2 - 10.1098/rsta.2023.0368

DO - 10.1098/rsta.2023.0368

M3 - Article

C2 - 39129408

SN - 1364-503X

VL - 382

JO - Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences

IS - 2279

M1 - 20230368

ER -

An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials

Samenvatting

Financiering

Toegang tot document

Andere bestanden en links

Vingerafdruk

Citeer dit