Sonic metamaterials: Reflection on the role of topology on dispersion surface morphology

Gorshkov, VN, Navadeh, N, Sareh, P ORCID: 0000-0003-1836-2598, Tereshchuk, VV and Fallah, AS (2017) Sonic metamaterials: Reflection on the role of topology on dispersion surface morphology. MATERIALS & DESIGN, 132. pp. 44-56.

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Official URL: http://dx.doi.org/10.1016/j.matdes.2017.06.049

Abstract

Investigating dispersion surface morphology of sonic metamaterials is crucial in providing information on related phenomena as inertial coupling, acoustic transparency, polarisation, and absorption. In the present study, we look into frequency surface morphology of two-dimensional metamaterials of K3,3 and K6 topologies. The elastic structures under consideration consist of the same substratum lattice points and form a pair of sublattices with hexagonal symmetry. We show that, through introducing universal localised mass-in-mass phononic microstructures at lattice points, six single optical frequency-surfaces can be formed with required properties including negative group velocity. Splitting the frequency-surfaces is based on the classical analog of the quantum phenomenon of "energy-level repulsion", which can be achieved only through internal anisotropy of the nodes and allows us to obtain different frequency band gaps.

Item Type:	Article
Additional Information:	25 pages, 15 figures
Uncontrolled Keywords:	Sonic metamaterials, Dispersion surface, Floquet-Bloch theorem, Brillouin zone (BZ), Morphology, Band gap
Depositing User:	Symplectic Admin
Date Deposited:	12 Dec 2018 15:39
Last Modified:	19 Jan 2023 01:09
DOI:	10.1016/j.matdes.2017.06.049
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3029916