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Wave propagation through an elastically asymmetric architected material
[La propagation des ondes à travers des milieux élastiquement asymétriques]
Vladislav A. Yastrebov1 
1 MINES ParisTech, PSL University, Centre des Matériaux, CNRS UMR 7633, BP 87, 91003, Evry, France
Comptes Rendus. Mécanique, Volume 350 (2022), pp. 1-26.

La propagation unidimensionnelle des ondes à travers des milieux élastiquement asymétriques est étudiée. Une classe de métamatériaux possédant une asymétrie élastique arbitraire est proposée. Cette asymétrie entraîne différentes vitesses des composants de traction et de compression : le composant le plus rapide dépasse le plus lent, entraînant leur annihilation dissipative par des cascades d’énergie. Des assemblages de damping efficace sont présentés et analysés numériquement. La longueur de la partie asymétrique nécessaire pour amortir un signal harmonique est déterminée analytiquement et validée numériquement. Les propriétés de transmission pour les paquets d’ondes auto-affines aléatoires sont étudiées : une mise à l’échelle universelle pour la variation du facteur de transmission avec la longueur de la partie asymétrique a été établie.

A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and compressive components of elastic waves. The faster component can overtake the slower one resulting in their dissipative annihilation through energy cascades. Efficient absorbing assemblies are presented and analysed numerically. The length of the asymmetric part needed to damp a harmonic signal is determined analytically and validated numerically. Transmission properties for random self-affine wave packets are studied: a universal scaling for the transmission factor variation with the length of the asymmetric part was established.

Reçu le :
Révisé le :
Accepté le :
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DOI : 10.5802/crmeca.100
Keywords: Elastic asymmetry, Wave damping, Wave propagation, Wave annihilation, Architected material, Internal contact
Mot clés : Asymétrie élastique, Damping des ondes, Propagation des ondes, Annihilation des ondes, Matériaux architecturés, Contacts internes
Vladislav A. Yastrebov 1

1 MINES ParisTech, PSL University, Centre des Matériaux, CNRS UMR 7633, BP 87, 91003, Evry, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Vladislav A. Yastrebov. Wave propagation through an elastically asymmetric architected material. Comptes Rendus. Mécanique, Volume 350 (2022), pp. 1-26. doi : 10.5802/crmeca.100. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.100/

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