cff-version: 1.2.0
abstract: "<p>A reduced-order homogenisation framework is proposed in the article "An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials", 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 homogenised 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.</p><p><br></p><p>- The effective continuum material properties are computed via the MATLAB script provided here.</p><p><br></p><p>-A&nbsp;frequency domain numerical example demonstrates the efficiency and suitability of the proposed framework. The macro-scale model is implemented via a COMSOL model provided here.</p><p><br></p><p>-The direct numerical simulations (COMSOL models) are also provided here.</p>"
authors:
  - family-names: Liupekevicius Carnielli
    given-names: Renan
    orcid: "https://orcid.org/0000-0003-4517-3899"
  - family-names: van Dommelen
    given-names: Johannes
    orcid: "https://orcid.org/0000-0003-4029-0308"
  - family-names: Geers
    given-names: Marc
    orcid: "https://orcid.org/0000-0002-0009-6351"
  - family-names: Kouznetsova
    given-names: Varvara
    orcid: "https://orcid.org/0000-0003-0113-6471"
title: "MATLAB script and COMSOL models of the article &#34;An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials&#34;"
keywords:
version: 2
identifiers:
  - type: doi
    value: 10.4121/0c31cd57-7ea1-4587-84e7-b9b75ff5fa2e.v2
license: CC BY 4.0
date-released: 2024-04-24