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/cf2b5268-cf68-4610-b2c6-b5305ccbbf2b

Liu, Lei; Sridhar, Ashwin; Geers, Marc; Kouznetsova, Varvara (2024): MATLAB scripts of the paper "Computational homogenization of locally resonant acoustic metamaterial panels towards enriched continuum beam/shell structures". Version 1. 4TU.ResearchData. dataset. https://doi.org/10.4121/cf2b5268-cf68-4610-b2c6-b5305ccbbf2b.v1

Dataset

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

Beam/shell structural element, Computational homogenization, Enriched continuum, Flexural wave, Locally resonant acoustic metamaterial (LRAM), Model reduction

2021

CC BY 4.0

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

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

The associated paper presents a novel computational homogenization method enabling efficient and accurate modelling of wave propagation phenomena in locally resonant acoustic metamaterial (LRAM) panels, which was not possible for direct numerical simulations as well as available homogenization methods. The proposed method provides a considerable advantage for fast analyses and design of metamaterial panels.

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) Dispersion analysis of an infinite LRAM beam, using plane wave transformation.

3) Frequency domain analysis of a finite LRAM beam, based on harmonic solution assumption. Isogeometric analysis is employed.

4) Transient analysis of a finite LRAM beam. Isogeometric analysis is employed. Time integration is performed using Newmark method. 

Reference solutions by direct numerical simulations using COMSOL are given as well.

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

4TU.ResearchData

g-zipped shape files

Computational homogenization of locally resonant acoustic metamaterial panels towards enriched continuum beam/shell structures

• 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