Resonant and nonlocal properties of phononic metasolids

Torrent, Daniel; Pennec, Yan; Djafari-Rouhani, Bahram

Document type :

Article dans une revue scientifique

DOI :

10.1103/PhysRevB.92.174110

Title :

Resonant and nonlocal properties of phononic metasolids

Author(s) :

Torrent, Daniel [Auteur]
Centre de Recherche Paul Pascal [CRPP]
Pennec, Yan [Auteur]

Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Djafari-Rouhani, Bahram [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]

Journal title :

Physical Review B: Condensed Matter and Materials Physics (1998-2015)

Publisher :

American Physical Society

Publication date :

2015-11-17

ISSN :

1098-0121

HAL domain(s) :

Physique [physics]

English abstract : [en]

We derive a general theory of effective properties in metasolids based on phononic crystals with low frequency resonances. We demonstrate that in general these structures need to be described by means of a frequencydependent ...
Show more >We derive a general theory of effective properties in metasolids based on phononic crystals with low frequency resonances. We demonstrate that in general these structures need to be described by means of a frequencydependent and nonlocal anisotropic mass density, stiffness tensor and a third-rank coupling tensor, which shows that they behave like a nonlocal Willis medium. The effect of nonlocality and coupling tensormanifest themselves for some particular resonances, whereas they become negligible for other resonances. Considering the example of a two-dimensional phononic crystal, consisting of triangular arrangements of cylindrical shells in an elastic matrix, we show that its mass density tensor is strongly resonant and anisotropic presenting both positive and negative divergent values, while becoming scalar in the quasistatic limit. Moreover, it is found that the negative value of transverse component of the mass density is induced by a dipolar resonance, while that of the vertical component is induced by a monopolar one. Finally, the dispersion relation obtained by the effective parameters of the crystal is compared with the band structure, showing good agreement for the low-wave-number region, although the nonlocal effects are important given the existence of some resonant values of the wave number.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Institut d'Électronique, de Microélectronique et de Nanotechnologie (IEMN) - UMR 8520

Source :

Harvested from HAL

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