Vortex-type elastic structured media and dynamic shielding
Mathematical Physics
2015-06-03 v1 math.MP
Classical Physics
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.
Keywords
Cite
@article{arxiv.1201.5855,
title = {Vortex-type elastic structured media and dynamic shielding},
author = {Michele Brun and Ian S. Jones and Alexander B. Movchan},
journal= {arXiv preprint arXiv:1201.5855},
year = {2015}
}
Comments
24 pages, 13 figures