Vortex-type elastic structured media and dynamic shielding

TL;DR

This paper introduces a vortex-type elastic metamaterial with embedded spinners in a 2D lattice, demonstrating novel wave filtering, polarization, and shielding effects through analytical and numerical methods.

Contribution

It develops a new model of structured media with vortex dynamics, deriving effective behavior and applying it to create elastic wave shielding cloaks.

Findings

Dispersion exhibits unique filtering and polarization properties.

Homogenized model accurately predicts vortex-induced effects.

Shielding cloak effectively reduces wave transmission around obstacles.

Abstract

The paper addresses a novel model of metamaterial structure. A system of spinners has been embedded into a two-dimensional periodic lattice system. The equations of motion of spinners are used to derive the expression for the chiral term in the equations describing the dynamics of the lattice. Dispersion of elastic waves is shown to possess innovative filtering and polarization properties induced by the vortextype nature of the structured media. The related homogenised effective behavior is obtained analytically and it has been implemented to build a shielding cloak around an obstacle. Analytical work is accompanied by numerical illustrations.