Topology optimization of pentamode metamaterials for underwater acoustics

Fuente: arXiv
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Autores principales: Cominelli, Sebastiano, Pozzi, Matteo, Braghin, Francesco
Formato: Preprint
Publicado: 2026
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author Cominelli, Sebastiano
Pozzi, Matteo
Braghin, Francesco
author_facet Cominelli, Sebastiano
Pozzi, Matteo
Braghin, Francesco
contents This study presents an automated topology optimization framework for designing pentamode acoustic metamaterials. It provides precise control over the material effective acoustic properties while minimizing the shear modulus to achieve fluid-like behavior. The approach combines low-frequency homogenization for accurate property evaluation and the adjoint method for efficient sensitivity analysis. The Virtual Temperature Method (VTM) ensures structural connectivity and manufacturability, addressing the typical challenges of low-stiffness, high-mass-density microstructures. The framework is demonstrated through the design of a Lüneburg lens and an acoustic invisibility cloak for underwater applications. Acoustic-elastic simulations validate the performance of both the unit cells and the complete devices. This method eliminates the need for predefined geometries, offering a flexible, reliable, and scalable alternative to conventional parametric optimization. It provides a powerful tool for the automated design of complex, anisotropic, pentamode metamaterials.
format Preprint
id arxiv_https___arxiv_org_abs_2603_00279
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Topology optimization of pentamode metamaterials for underwater acoustics
Cominelli, Sebastiano
Pozzi, Matteo
Braghin, Francesco
Applied Physics
This study presents an automated topology optimization framework for designing pentamode acoustic metamaterials. It provides precise control over the material effective acoustic properties while minimizing the shear modulus to achieve fluid-like behavior. The approach combines low-frequency homogenization for accurate property evaluation and the adjoint method for efficient sensitivity analysis. The Virtual Temperature Method (VTM) ensures structural connectivity and manufacturability, addressing the typical challenges of low-stiffness, high-mass-density microstructures. The framework is demonstrated through the design of a Lüneburg lens and an acoustic invisibility cloak for underwater applications. Acoustic-elastic simulations validate the performance of both the unit cells and the complete devices. This method eliminates the need for predefined geometries, offering a flexible, reliable, and scalable alternative to conventional parametric optimization. It provides a powerful tool for the automated design of complex, anisotropic, pentamode metamaterials.
title Topology optimization of pentamode metamaterials for underwater acoustics
topic Applied Physics
url https://arxiv.org/abs/2603.00279