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Exploiting pattern transformation to tune phononic band gaps in a two-dimensional granular crystal

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2012

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Acoustical Society of America
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Göncü, Fatih, Stefan Luding, and Katia Bertoldi. 2012. Exploiting pattern transformation to tune phononic band gaps in a two-dimensional granular crystal. The Journal of the Acoustical Society of America 131(6): EL475.

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Abstract

The band structure of a two-dimensional granular crystal composed of silicone rubber and polytetrafluoroethylene (PTFE) cylinders is investigated numerically. This system was previously shown to undergo a pattern transformation with uniaxial compression by Göncü et al. [Soft Matter 7, 2321 (2011)]. The dispersion relations of the crystal are computed at different levels of deformation to demonstrate the tunability of the band structure, which is strongly affected by the pattern transformation that induces new band gaps. Replacement of PTFE particles with rubber ones reveals that the change of the band structure is essentially governed by pattern transformation rather than particles’ mechanical properties.

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deformation, dispersion relations, energy gap, granular materials, phononic crystals, polymers, silicone rubber

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