The doi above is for this specific version of this dataset, which is currently the latest. Newer versions may be published in the future. For a link that will always point to the latest version, please use
doi: 10.4121/f131341d-0fa7-4705-a966-233ad4795171

Sridhar, Ashwin; Liu, Lei; Kouznetsova, Varvara; Geers, Marc (2024): MATLAB scripts of the paper "Homogenized enriched continuum analysis of acoustic metamaterials with negative stiffness and double negative effects". Version 1. 4TU.ResearchData. dataset. https://doi.org/10.4121/f131341d-0fa7-4705-a966-233ad4795171.v1

Dataset

• Civil Engineering
• Mechanical Engineering
• Materials Engineering
• Interdisciplinary Engineering
• Engineering

Acoustic metamaterial, Dispersion spectrum, Double negativity, Homogenization, Local resonance, Multiscale analysis

2018

CC BY 4.0

RefWorks, BibTeX, Reference Manager, Endnote, DataCite, NLM, DC, CFF

by Ashwin Sridhar , Lei Liu , Varvara Kouznetsova , Marc Geers

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.

The method above is implemented in MATLAB and the provided MATLAB scripts include:

1) Calculation of the frequency-independent dynamic effective material properties for a given LRAM unit cell design. Finite element method is employed.

2) Calculation of the dispersion spectra of an infinite LRAM medium, using plane wave transformation. Reference solution by Bloch analysis is given as well.

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.

• 2024-05-22 first online, published, posted

4TU.ResearchData

g-zipped shape files

Homogenized enriched continuum analysis of acoustic metamaterials with negative stiffness and double negative effects

• https://doi.org/10.1007/s00466-015-1254-y

• Multiscale extended computational homogenization for the mechanical design of advanced materials (grant code 339392) European Research Council

TU Eindhoven, Department of Mechanical Engineering