Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 468, Issue 2146, Pages 3027-3046Publisher
ROYAL SOC
DOI: 10.1098/rspa.2012.0165
Keywords
elastic lattice; chiral material; cloaking; vortex-type elastic structure
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Funding
- Research Centre in Mathematics and Modelling of the University of Liverpool
- Italian Ministry of University and Research
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The paper presents an approach to modelling a novel elastic metamaterial structure that possesses non-trivial dispersion features. A system of spinners has been embedded into a two-dimensional periodic lattice system. The analysis of the motion of the spinners is used to derive an expression for a '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 vortex-type nature of the structured media. The related effective behaviour in a continuous medium is implemented to build a shielding cloak around an obstacle. Analytical work is accompanied by numerical illustrations.
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