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Dynamics of structural interfaces: Filtering and focussing effects for elastic waves
Authors:M Brun  S Guenneau  AB Movchan  D Bigoni
Institution:a Department of Structural Engineering, University of Cagliari and Istituto CNR-IOM, Unità SLACS, Piazza d’Armi, I-09123 Cagliari, Italy
b Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
c Department of Mechanical and Structural Engineering, University of Trento, Via Mesiano 77, I-38050 Trento, Italy
Abstract:Dynamics of thick interfaces separating different regions of elastic materials is investigated. The interfaces are made up of elastic layers or inertial truss structures. The study of evanescent mode propagation and transmission properties reveals that the discrete nature of structural interfaces introduces unusual filtering characteristics in the system, which cannot be obtained with multilayered interfaces. An example of metamaterial is presented, namely, a planar structural interface, which acts as a flat lens, therefore evidencing the negative refraction and focussing of elastic waves.
Keywords:Elastic waves  Structural interfaces  Transfer matrix  Filtering by finite thickness slabs  Negative refraction
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