期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 103, 期 -, 页码 236-256出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2017.03.007
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资金
- People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme under REA [PITN-GA-2013-606878]
- EPSRC [EP/L024926/1]
- ERC [FP7-PEOPLE-IDEAS-ERC-2013-AdG]
- EPSRC [EP/L024926/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/L024926/1] Funding Source: researchfish
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 resonator is tilted, i.e. it is rotated with respect to the ambient lattice's unit cell through an angle theta(0). This geometrical parameter is responsible for the emergence of a resonant mode in the Bloch spectrum for elastic waves and strongly affects the dispersive properties of the lattice. Additionally, the tilting angle theta(0) triggers the opening of a band gap at a Dirac-like point. We provide a physical interpretation of these phenomena and discuss the dynamical implications on elastic Bloch waves. The dispersive properties are used to design a structured interface containing tilted resonators which exhibit negative refraction and focussing, as in a flat elastic lens. (C) 2017 The Authors. Published by Elsevier Ltd.
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