TY - DATA
T1 - MATLAB scripts of the paper "Homogenized enriched continuum analysis of acoustic metamaterials with negative stiffness and double negative effects"
PY - 2024/05/22
AU - Ashwin Sridhar
AU - Lei Liu
AU - Varvara Kouznetsova
AU - Marc Geers
UR - 
DO - 10.4121/f131341d-0fa7-4705-a966-233ad4795171.v1
KW - Local resonance
KW - Double negativity
KW - Acoustic metamaterial
KW - Dispersion spectrum
KW - Multiscale analysis
KW - Homogenization
N2 - <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>
ER -