MATLAB script and COMSOL models of the paper "Efficient wave analysis in multi-layered locally resonant metamaterials: A semi-analytical approach integrating dynamic homogenization"

DOI:10.4121/9fee4621-c59a-4370-b29a-7322f4b65b0c.v1
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DOI: 10.4121/9fee4621-c59a-4370-b29a-7322f4b65b0c

Datacite citation style

Kuci, Xhorxha; Geers, Marc; Kouznetsova, Varvara (2025): MATLAB script and COMSOL models of the paper "Efficient wave analysis in multi-layered locally resonant metamaterials: A semi-analytical approach integrating dynamic homogenization". Version 1. 4TU.ResearchData. dataset. https://doi.org/10.4121/9fee4621-c59a-4370-b29a-7322f4b65b0c.v1
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Dataset

The associated paper presents a semi-analytical framework that combines dynamic computational homogenization with an extended transfer matrix method (TMM) for efficient wave analysis in multi-layered locally resonant acoustic metamaterials (LRAMs). The approach allows modeling of complex multi-layered configurations involving arbitrary incidence angles and general microstructures, extending beyond the commonly adopted assumptions of symmetry and normal incidence.

The proposed method first applies dynamic computational homogenization to derive the frequency-dependent homogenized enriched continuum of the LRAM, capturing inertial and mechanical effects through the dynamic impedance tensor. This enriched description is then incorporated into the extended TMM formulation to analyze wave transmission and reflection in layered setups with acoustic or elastic incoming media. The framework demonstrates excellent agreement with direct numerical simulations (DNS) in COMSOL, while providing significant computational efficiency.

The MATLAB scripts include:

  1. Calculation of the frequency-dependent homogenized parameters of the LRAM unit cell.
  2. Evaluation of the effective impedance tensor describing the local resonance behaviour.
  3. Transmission and reflection analyses in multi-layered configurations with arbitrary incidence.

The COMSOL models provide the DNS results used for validation and comparison.

History

  • 2025-11-07 first online, published, posted

Publisher

4TU.ResearchData

Format

.zip files containing MATLAB scripts (.m) and COMSOL Multiphysics models (.mph).

Funding

  • Dynamic metamaterials breaking through subwavelength application limits (grant code 17884) Netherlands Organisation for Scientific Research (NWO)

Organizations

TU Eindhoven, Department of Mechanical Engineering

DATA

Files (3)