Multi-element Metamaterial’s Design Through the Relaxed Micromorphic Model

Ramirez, Leonardo A. Perez; Rizzi, Gianluca; Madeo, Angela

doi:10.1007/978-3-031-26186-2_36

Cited by 2 publications

(1 citation statement)

References 165 publications

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“…An important point that deserves more attention in future investigations is the importance of the connection between the metamaterial and the continuous plates. It has already been observed that interface conditions towards a continuous (or Cauchy-like) material change the response of a metamaterial [27,28], but the significance of the change observed in this study overpassed the expectations. The interface can, thus, be considered as a potential optimization factor for finite metamaterial structures.…”

Section: Discussioncontrasting

confidence: 79%

Design and experimental validation of a finite-size labyrinthine metamaterial for vibro-acoustics: enabling upscaling towards large-scale structures

Hermann,

Billon,

Parlak

et al. 2024

Phil. Trans. R. Soc. A.

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In this article, we present the design and experimental validation of a labyrinthine metamaterial for vibro-acoustic applications. Based on a two-dimensional unit cell, different designs of finite-size metamaterial specimens in a sandwich configuration including two plates are proposed. The design phase includes an optimization based on Bloch-Floquet analysis with the aims of maximizing the band gap and extruding the specimens in the third dimension while keeping the absorption properties almost unaffected. By manufacturing and experimentally testing finite-sized specimens, we assess their capacity to mitigate vibrations in vibro-impact tests. The experiments confirm a band gap in the low- to mid-frequency range. Numerical models are employed to validate the experiments and to examine additional vibro-acoustic load cases. The metamaterial’s performances are compared with benchmark solutions, usually employed for noise and vibration mitigation, showing a comparable efficacy in the band gap region. To eventually improve the metamaterial’s performance, we optimize its interaction with the air and test different types of connections between the metamaterial and the homogeneous plates. This finally leads to metamaterial samples largely exceeding the benchmark performances in the band gap region and reveals the potential of interfaces for performance optimization of composed structures. This article is part of the theme issue ‘Current developments in elastic and acoustic metamaterials science (Part 1)’.

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Section: Discussioncontrasting

confidence: 79%

Design and experimental validation of a finite-size labyrinthine metamaterial for vibro-acoustics: enabling upscaling towards large-scale structures

Hermann,

Billon,

Parlak

et al. 2024

Phil. Trans. R. Soc. A.

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Reduced relaxed micromorphic modeling of harmonically loaded metamaterial plates: investigating boundary effects in finite-size structures

Demetriou,

Rizzi,

Madeo

2023

Arch Appl Mech

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In this paper, we propose an approach for describing wave propagation in finite-size microstructured metamaterials using a reduced relaxed micromorphic model. This method introduces an additional kinematic field with respect to the classical Cauchy continua, allowing to capture the effects of the underlying microstructure with a homogeneous model. We show that the reduced relaxed micromorphic model is not only effective for studying infinite-size metamaterials, but also efficient for numerical simulations and analysis on specimens of finite size. This makes it an essential tool for designing and optimizing metamaterials structures with specific wave propagation properties. The proposed model’s efficiency is assessed through numerical simulations for finite-size benchmark problems, and shows a good agreement for a wide range of frequencies. The possibility of producing the same macroscopic metamaterial with different but equivalent unit cell “cuts” is also analyzed, showing that, even close to the boundary, the reduced relaxed micromorphic model is capable of giving accurate responses for the considered loading and boundary conditions.

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Multi-element Metamaterial’s Design Through the Relaxed Micromorphic Model

Cited by 2 publications

References 165 publications

Design and experimental validation of a finite-size labyrinthine metamaterial for vibro-acoustics: enabling upscaling towards large-scale structures

Design and experimental validation of a finite-size labyrinthine metamaterial for vibro-acoustics: enabling upscaling towards large-scale structures

Reduced relaxed micromorphic modeling of harmonically loaded metamaterial plates: investigating boundary effects in finite-size structures

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