Localized waves in elastic plates with perturbed honeycomb arrays of constraints

Haslinger, SG ORCID: 0000-0003-0790-1701, Frecentese, S ORCID: 0000-0002-4191-7013 and Carta, G ORCID: 0000-0003-1325-8070 (2023) Localized waves in elastic plates with perturbed honeycomb arrays of constraints. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 380 (2231). 20210404-.

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Official URL: http://dx.doi.org/10.1098/rsta.2021.0404

Abstract

In this paper, we study wave propagation in elastic plates incorporating honeycomb arrays of rigid pins. In particular, we demonstrate that topologically non-trivial band-gaps are obtained by perturbing the honeycomb arrays of pins such that the ratio between the lattice spacing and the distance of pins is less than 3; conversely, a larger ratio would lead to the appearance of trivial stop-bands. For this purpose, we investigate band inversion of modes and calculate the valley Chern numbers associated with the dispersion surfaces near the band opening, since the present problem has analogies with the quantum valley Hall effect. In addition, we determine localized eigenmodes in strips, repeating periodically in one direction, that are subdivided into a topological and a trivial section. Finally, the outcomes of the dispersion analysis are corroborated by numerical simulations, where a time-harmonic point source is applied to a plate with finite arrays of rigid pins to create localized waves immune to backscattering. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 1)'.

Item Type:	Article
Uncontrolled Keywords:	elastic plates, localized waves, honeycomb arrays, perturbations, valley Chern number
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	23 May 2022 08:43
Last Modified:	06 Sep 2023 15:21
DOI:	10.1098/rsta.2021.0404
Open Access URL:	https://doi.org/10.1098/rsta.2021.0404
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3155250