[HTML][HTML] Tilted resonators in a triangular elastic lattice: chirality, Bloch waves and negative refraction

D Tallarico, NV Movchan, AB Movchan… - Journal of the Mechanics …, 2017 - Elsevier
We consider a vibrating triangular mass-truss lattice whose unit cell contains a resonator of
triangular shape. The resonators are connected to the ambient lattice by trusses. Each …

[HTML][HTML] A single-phase elastic hyperbolic metamaterial with anisotropic mass density

R Zhu, YY Chen, YS Wang, GK Hu… - The Journal of the …, 2016 - pubs.aip.org
Wave propagation can be manipulated at a deep subwavelength scale through the locally
resonant metamaterial that possesses unusual effective material properties. Hyperlens due …

“Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems

G Carta, IS Jones, NV Movchan, AB Movchan… - Scientific Reports, 2017 - nature.com
For the first time, a design of a “deflecting elastic prism” is proposed and implemented for
waves in a chiral medium. A novel model of an elastic lattice connected to a non-uniform …

Homogenisation for elastic photonic crystals and dynamic anisotropy

T Antonakakis, RV Craster, S Guenneau - … of the Mechanics and Physics of …, 2014 - Elsevier
We develop a continuum model, valid at high frequencies, for wave propagation through
elastic media that contain periodic, or nearly periodic, arrangements of traction free, or …

Relaxed micromorphic model of transient wave propagation in anisotropic band-gap metastructures

G Barbagallo, D Tallarico, MV d'Agostino… - International Journal of …, 2019 - Elsevier
In this paper, we show that the transient waveforms arising from several localised pulses in a
micro-structured material can be reproduced by a corresponding generalised continuum of …

Weakly nonlinear wave interactions in multi-degree of freedom periodic structures

KL Manktelow, MJ Leamy, M Ruzzene - Wave Motion, 2014 - Elsevier
This work presents a multiple time scales perturbation analysis for analyzing weakly
nonlinear wave interactions in multi-degree of freedom periodic structures. The perturbation …

Asymptotics for metamaterials and photonic crystals

T Antonakakis, RV Craster… - Proceedings of the …, 2013 - royalsocietypublishing.org
Metamaterial and photonic crystal structures are central to modern optics and are typically
created from multiple elementary repeating cells. We demonstrate how one replaces such …

[HTML][HTML] Dispersion properties of vortex-type monatomic lattices

G Carta, M Brun, AB Movchan, NV Movchan… - International Journal of …, 2014 - Elsevier
The paper presents a systematic study of dispersive waves in an elastic chiral lattice.
Chirality is introduced through gyroscopes embedded into the junctions of a doubly periodic …

Dangers of using the edges of the Brillouin zone

RV Craster, T Antonakakis, M Makwana… - Physical Review B …, 2012 - APS
In solid-state physics, including photonics and wherever periodic lattice structures occur, it is
essential to establish the fundamental features associated with wave propagation through …

[HTML][HTML] Lamb waves in discrete homogeneous and heterogeneous systems: Dispersion properties, asymptotics and non-symmetric wave propagation

G Carta, MJ Nieves, M Brun - European Journal of Mechanics-A/Solids, 2023 - Elsevier
In this paper, we study Lamb waves propagating in a discrete strip, whose microstructure is
represented by either a monatomic or a diatomic triangular lattice. In considering the in …