Two-scale asymptotic homogenization of hierarchical locally resonant metamaterials in anti-plane shear conditions

Two-scale asymptotic homogenization of hierarchical locally resonant metamaterials in anti-plane shear conditions

David Faraci, Claudia Comi, Jean-Jacques Marigo

Abstract. Local resonant metamaterials are a class of microstructured man-made material which attenuate the propagation of waves in certain frequency ranges, known as band gaps. In this work, we study through asymptotic homogenization the anti-plane shear wave propagation in metamaterial with a stiff matrix and soft inclusions, periodically distributed, which present a hierarchical geometry. Band gaps of the metamaterial are then analytically predicted by the intervals of frequency in which the effective mass becomes negative.

Keywords
Homogenization, Local Resonance, Band Gaps

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: David Faraci, Claudia Comi, Jean-Jacques Marigo, Two-scale asymptotic homogenization of hierarchical locally resonant metamaterials in anti-plane shear conditions, Materials Research Proceedings, Vol. 26, pp 499-504, 2023

DOI: https://doi.org/10.21741/9781644902431-81

The article was published as article 81 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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