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:
The COMSOL models provide the DNS results used for validation and comparison.
" authors: - family-names: Kuci given-names: Xhorxha orcid: "https://orcid.org/0009-0005-9116-8662" - family-names: Geers given-names: Marc orcid: "https://orcid.org/0000-0002-0009-6351" - family-names: Kouznetsova given-names: Varvara orcid: "https://orcid.org/0000-0003-0113-6471" title: "MATLAB script and COMSOL models of the paper "Efficient wave analysis in multi-layered locally resonant metamaterials: A semi-analytical approach integrating dynamic homogenization"" keywords: version: 1 identifiers: - type: doi value: 10.4121/9fee4621-c59a-4370-b29a-7322f4b65b0c.v1 license: CC BY 4.0 date-released: 2025-11-07