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Two-component versus three-component metasolids

Abstract : Analytic analysis and parametric investigation are employed to study and compare metamaterial properties of two types of composite metasolids. Metasolids are composed of either an elastic inclusion or a rigid core coated by an elastic material, embedded in a stiff matrix. For these types of materials, results related to cylindrical as well as spherical inclusions are presented. Such mono-inclusion two-component and bi-inclusion three-component metasolids have been previously known to exhibit negative mass density near local-resonance frequencies. Through a unified formulation, it is analytically shown how and why adding a rigid mass inside the elastic inclusion to make a bi-inclusion three-component material can dramatically change the homogenized property of the resultant inclusion and increase the tunability of the composite, particularly in terms of local-resonance frequencies and the associated metamaterial-effect frequency bandwidth. In this way, concerning distinctly sound and vibration insulation, a lowfrequency metamaterial effect with larger bandwidth can be designed via an inverse problem using a simplified mass-spring model. V
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https://hal.archives-ouvertes.fr/hal-03059349
Contributor : Camille Perrot <>
Submitted on : Monday, March 15, 2021 - 9:36:47 PM
Last modification on : Saturday, June 5, 2021 - 7:25:22 PM

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J. Acoust. Soc. Am 148, 3065 (...
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Elie Favier, Navid Nemati, Camille Perrot. Two-component versus three-component metasolids. Journal of the Acoustical Society of America, Acoustical Society of America, 2020, 148 (5), pp.3065 - 3074. ⟨10.1121/10.0002424⟩. ⟨hal-03059349v2⟩

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