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On the dynamic behaviour of discrete metamaterials: From attenuation to energy localization

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Abstract Metamaterials are generally known for their waves attenuation capabilities. This behaviour, which is related to the microstructure composing these materials, can be due to a Bragg-type scattering mechanism or… Click to show full abstract

Abstract Metamaterials are generally known for their waves attenuation capabilities. This behaviour, which is related to the microstructure composing these materials, can be due to a Bragg-type scattering mechanism or to local resonances. The objective here is to exploit the two phenomena for generating a system able to localize the energy carried by propagating elastic (or acoustic) waves. To this purpose, we employ a 1D lattice composed of a chain of mass-in-mass particles, connected by elastic springs. The lattice contains an internal defect that causes the energy localization. This configuration allows for a completely analytical description of the problem. Eventually, an extensive discussion on the interaction between the two attenuation mechanisms is also given.

Keywords: discrete metamaterials; dynamic behaviour; behaviour discrete; energy; energy localization

Journal Title: Wave Motion
Year Published: 2021

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