Effective Properties of Phononic Crystals in Bragg Regime

Abstract : We present how the full account of temporal dispersion and spacial dispersion leads to the precise description of effective-medium parameters of a phononic crystal made of periodic arrangement of rigid inclusions embedded in a viscothermal fluid in high-frequency regime where Bragg scattering phenomena appear. We discuss the interplay between micro-geometry, frequency, fluid motions, and dissipative processes, and its impact on the emergence of macroscopic temporal and spacial dispersion effects. In this respect, we compare the local approach based on a two-scale asymptotic homogenization method, and a general nonlocal homogenization scheme.
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https://hal-upec-upem.archives-ouvertes.fr/hal-01665401
Contributor : Camille Perrot <>
Submitted on : Tuesday, December 19, 2017 - 10:18:24 AM
Last modification on : Thursday, July 18, 2019 - 4:36:07 PM

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  • HAL Id : hal-01665401, version 1

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N. Nemati, C. Perrot, Denis Duhamel, D. Lafarge, Y. E. Lee, et al.. Effective Properties of Phononic Crystals in Bragg Regime. Metamaterials'2017 , Aug 2017, Marseille, France. ⟨hal-01665401⟩

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