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Acoustic Metamaterials Based on Local Resonances: Homogenization, Optimization and Applications

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Generalized Models and Non-classical Approaches in Complex Materials 1

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 89))

Abstract

The aim of this review is to give an overview of techniques and methods used in the modeling of acoustic and elastic metamaterials. Acoustic and elastic metamaterials are man-made materials which present exotic properties capable to modify and drive wave propagation. In particular in this work we will focus on locally resonant microstructures. Such metamaterials are based on local resonances of the internal structure, the dimensions of which are much smaller than the wavelengths of the waves under analysis. We will consider the seminal papers in the fields to grasp the most important ideas used to develop locally resonant metamaterials, such as homogenization techniques and optimization topology. Finally, we will discuss some interesting application to clarify the aforementioned methods.

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Authors and Affiliations

  1. International Research Center on Mathematics and Mechanics of Complex System (M&MOCS), Universitá degli Studi dell’Aquila, Via Giovanni Gronchi 18 - Zona industriale di Pile, 67100, L’Aquila, Italy

    Fabio di Cosmo

  2. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Universitá degli Studi dell’Aquila, Via Vetoio (Coppito 1), 67100, L’Aquila, Italy

    Marco Laudato

  3. Coppito & International Research Center on Mathematics and Mechanics of Complex System (M&MOCS), Universitá degli Studi dell’Aquila, Via Giovanni Gronchi 18 - Zona industriale di Pile, 67100, L’Aquila, Italy

    Marco Laudato

  4. CNRS, LSPM UPR3407, Université Paris 13, Sorbonne Paris Cité, 93430, Villetaneuse, France

    Mario Spagnuolo

Authors
  1. Fabio di Cosmo
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  2. Marco Laudato
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  3. Mario Spagnuolo
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Corresponding author

Correspondence to Fabio di Cosmo .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität, Magdeburg, Germany

    Holm Altenbach

  2. Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

    Joël Pouget

  3. Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

    Martine Rousseau

  4. Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, Paris Cedex 05, France

    Bernard Collet

  5. Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie, Paris, France

    Thomas Michelitsch

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di Cosmo, F., Laudato, M., Spagnuolo, M. (2018). Acoustic Metamaterials Based on Local Resonances: Homogenization, Optimization and Applications. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-72440-9_12

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  • DOI: https://doi.org/10.1007/978-3-319-72440-9_12

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