Parabolic metamaterials and Dirac bridges

Colquitt, DJ ORCID: 0000-0001-5637-1626, Movchan, NV and Movchan, AB (2016) Parabolic metamaterials and Dirac bridges. Journal of the Mechanics and Physics of Solids, 65. pp. 621-631.

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Abstract

A new class of multi-scale structures, referred to as 'parabolic metamaterials', is introduced and studied in this paper. For an elastic two-dimensional triangular lattice, we identify dynamic regimes, which correspond to so-called 'Dirac bridges' on the dispersion surfaces. Such regimes lead to a highly localised and focussed unidirectional beam when the lattice is excited. We also show that the flexural rigidities of elastic ligaments are essential in establishing the 'parabolic metamaterial' regimes.

Item Type:	Article
Additional Information:	14 pages, 4 figures
Uncontrolled Keywords:	Parabolic metamaterials, Microstructures (A), Lattice dynamics (A), Asymptotic analysis (C)
Depositing User:	Symplectic Admin
Date Deposited:	15 Jun 2016 13:51
Last Modified:	19 Jan 2023 07:35
DOI:	10.1016/j.jmps.2016.05.006
Open Access URL:	http://dx.doi.org/10.1016/j.jmps.2016.05.006
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3001682

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• Parabolic metamaterials and Dirac bridges. (deposited 01 Jun 2016 14:09)
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