cff-version: 1.2.0
abstract: "<p>The associated paper demonstrates, for the first time, the application of a recently developed computational homogenization method towards dynamic analyses of locally resonant acoustic metamaterials (LRAM) exhibiting double negative effects, i.e. simultaneously negative mass and negative stiffness effects within a certain frequency regime. The present method provides an efficient tool for analyses of double negative metamaterials involving non-trivial loading and complex unit cell design.</p><p></p><p>The method above is implemented in MATLAB and the provided MATLAB scripts include:</p><p>1) Calculation of the frequency-independent dynamic effective material properties for a given LRAM unit cell design. Finite element method is employed.</p><p>2) Calculation of the dispersion spectra of an infinite LRAM medium, using plane wave transformation. Reference solution by Bloch analysis is given as well.</p><p>3) Frequency domain analysis of a LRAM prism embedded in a conventional material domain, based on harmonic solution assumption. Individual compressive and shear wave fields are determined as well, using Helmholtz decomposition. Finite element method is employed.</p>"
authors:
  - family-names: Sridhar
    given-names: Ashwin
  - family-names: Liu
    given-names: Lei
    orcid: "https://orcid.org/0000-0002-7674-567X"
  - family-names: Kouznetsova
    given-names: Varvara
    orcid: "https://orcid.org/0000-0003-0113-6471"
  - family-names: Geers
    given-names: Marc
    orcid: "https://orcid.org/0000-0002-0009-6351"
title: "MATLAB scripts of the paper &#34;Homogenized enriched continuum analysis of acoustic metamaterials with negative stiffness and double negative effects&#34;"
keywords:
version: 1
identifiers:
  - type: doi
    value: 10.4121/f131341d-0fa7-4705-a966-233ad4795171.v1
license: CC BY 4.0
date-released: 2024-05-22