Edge Waves and Localization in Lattices Containing Tilted Resonators

Tallarico, Domenico, Trevisan, Alessio, Movchan, Natalia V ORCID: 0000-0001-9166-1952 and Movchan, Alexander B (2017) Edge Waves and Localization in Lattices Containing Tilted Resonators. FRONTIERS IN MATERIALS, 4. 16-.

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Official URL: http://dx.doi.org/10.3389/fmats.2017.00016

Abstract

The paper presents the study of waves in a structured geometrically chiral solid. A special attention is given to the analysis of the Bloch-Floquet waves in a doubly periodic high-contrast lattice containing tilted resonators. Dirac-like dispersion of Bloch waves in the structure is identified, studied and applied to wave-guiding and wave-defect interaction problems. The work is extended to the transmission problems and models of fracture, where localisation and edge waves occur. The theoretical derivations are accompanied with numerical simulations and illustrations.

Item Type:	Article
Uncontrolled Keywords:	elasticity, lattices, metamaterials, Dirac-like cones, edge waves
Depositing User:	Symplectic Admin
Date Deposited:	11 Feb 2019 14:37
Last Modified:	15 Mar 2024 00:43
DOI:	10.3389/fmats.2017.00016
Open Access URL:	https://www.frontiersin.org/articles/10.3389/fmats...
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3032659