Closed-form solutions for wave propagation in hexagonal diatomic non-local lattices

Ongaro, F.; Beoletto, P.H.; Bosia, F.; Miniaci, Marco; Pugno, N.M.

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1016/j.ijmecsci.2025.110095

URL permanente :

http://hdl.handle.net/20.500.12210/126695

Titre :

Closed-form solutions for wave propagation in hexagonal diatomic non-local lattices

Auteur(s) :

Ongaro, F. [Auteur]
Università degli Studi di Trento = University of Trento [UNITN]
Beoletto, P.H. [Auteur]
Politecnico di Torino = Polytechnic of Turin [Polito]
Bosia, F. [Auteur]
Politecnico di Torino = Polytechnic of Turin [Polito]
Department of Applied Science and Technology [Politecnico di Torino] [DISAT]
Miniaci, Marco [Auteur]
JUNIA [JUNIA]
Acoustique - IEMN [ACOUSTIQUE - IEMN]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Pugno, N.M. [Auteur]
Università degli Studi di Trento = University of Trento [UNITN]

Titre de la revue :

International Journal of Mechanical Sciences

Pagination :

110095

Éditeur :

Elsevier

Date de publication :

2025-04

ISSN :

0020-7403

Discipline(s) HAL :

Physique [physics]
Sciences de l'ingénieur [physics]

Résumé en anglais : [en]

Periodic mass–spring lattices are commonly used to investigate the propagation of waves in elastic systems, including wave localisation and topological protection in phononic crystals and metamaterials. Recent studies have ...
Lire la suite >Periodic mass–spring lattices are commonly used to investigate the propagation of waves in elastic systems, including wave localisation and topological protection in phononic crystals and metamaterials. Recent studies have shown that introducing non-neighbouring (i.e., beyond nearest neighbour) connections in these chains leads to multiple topologically localised modes, while generating roton-like dispersion relations. This paper focuses on the theoretical analysis of elastic wave propagation in hexagonal diatom mass–spring systems in which both neighbouring and non-neighbouring interactions occur through linear elastic springs. Closed-form expression for the dispersion equations are derived, up to an arbitrary order of beyond-the-nearest connections for both in-plane and out-of-plane mass displacements. This allows to explicitly determine the influence of the order of non-neighbouring interactions on the band gaps, the local minima and the slope inversions in the first Brillouin zone for the considered unit cell. All analytical solutions are numerically verified. Finally, examples are provided on how non-neighbouring connections can be exploited to enhance the localisation of topologically-protected edge modes in waveguides constructed using mirror symmetric diatomic lattices constituted by two regions with different unit cell orientations. The study provides further insight on how to design phononic crystals generating roton-like behaviour and to exploit them for topologically protected waveguiding.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet Européen :

Bio-Inspired Hierarchical MetaMaterials
Unconventional principles of underwater wave control in the sub-wavelength regime

Collections :

Institut d'Électronique, de Microélectronique et de Nanotechnologie (IEMN) - UMR 8520

Source :

Harvested from HAL

Date de dépôt :

2025-04-01T06:49:24Z

Closed-form solutions for wave propagation ... BibTeX CSV Excel RIS

Closed-form solutions for wave propagation ...

BibTeX

CSV

Excel

RIS