Homogenization of sound hard metamaterials in the time domain

A Maurel; J.-J Marigo; B Lombard

Homogenization of sound hard metamaterials in the time domain

A Maurel ^{1, *} J.-J Marigo ² B Lombard ^{3, 4}

* Corresponding author

1 Institut Langevin ondes et images

2 LMS - Laboratoire de mécanique des solides

3 O&I - Ondes et Imagerie

LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

4 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

Abstract : We present a homogenization method based on a matched asymptotic expansion technique for sound hard materials structured at subwavelength scale. Considering the wave equation in the time domain, jump conditions are derived for the acoustic pressure and the normal velocity across an equivalent interface with non zero thickness. These jump conditions are implemented in a numerical scheme and compared to the results of the direct problem.

Document type :

Conference papers

Domain :

Engineering Sciences [physics] / Acoustics [physics.class-ph]

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https://hal.archives-ouvertes.fr/hal-01322320
Contributor : Bruno Lombard <>
Submitted on : Monday, May 30, 2016 - 2:48:29 PM
Last modification on : Sunday, March 31, 2019 - 1:38:05 AM
Document(s) archivé(s) le : Wednesday, August 31, 2016 - 10:52:41 AM

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Homogenization of sound hard metamaterials in the time domain

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