Theoretical design of a two-dimensional acoustic metafluid with anisotropic effective mass density

J. Arriaga, L. Gumen, A. A. Krokhin

Resultado de la investigación: Capítulo del libro/informe/acta de congresoContribución a la conferencia

Resumen

The effective mass density is one of the most basic and important parameters in the study of elastic wave interactions with materials. In this work, we report an effective dynamic mass density for a two-component, two-dimensional (2D) periodic fluid-solid composite in which the fluid constitutes the host medium. Fluids and glasses are naturally isotropic in the absence of external fields, and anisotropy is a property which is usually associated with crystal solids. Anisotropy may, however, be artificially stimulated by embedding periodic structures in naturally isotropic fluids. Then these artificial structures - so called phononic crystals - may have very unusual properties. Within a narrow band of frequencies of sound the effective mass or the effective elastic modulus of specially designed phononic crystals may become anisotropic, take negative values, or acquire abnormally large imaginary part. Due to such "strange" properties that do not exist for natural materials these artificial structures are usually called metamaterials or metafluids. Using the plane-waves expansion method we derive (in the long wavelength limit) a formula for the effective mass tensor of the metafluid. The proposed formula is very general and it is valid for arbitrary Bravais lattices and arbitrary filling fractions of the cylinders. In particular, we calculate the effective mass tensor for sound waves in air with embedded lattice of aluminum cylinders having different cross sections. We consider cylinders with circular and triangular cross sections arranged in both rectangular and hexagonal lattice. The proposed method of calculation may find numerous applications for tailoring of metafluids with prescribed anisotropy which is necessary for design of acoustic cloaks.

Idioma originalInglés
Título de la publicación alojadaPIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings
Páginas1331-1336
Número de páginas6
EstadoPublicada - 4 oct 2013
EventoProgress in Electromagnetics Research Symposium, PIERS 2013 Stockholm - Stockholm, Suecia
Duración: 12 ago 201315 ago 2013

Serie de la publicación

NombreProgress in Electromagnetics Research Symposium
ISSN (versión impresa)1559-9450

Otros

OtrosProgress in Electromagnetics Research Symposium, PIERS 2013 Stockholm
PaísSuecia
CiudadStockholm
Período12/08/1315/08/13

Huella dactilar

Acoustics
Anisotropy
Fluids
Crystals
Tensors
Acoustic waves
Periodic structures
Elastic waves
Metamaterials
Aluminum
Elastic moduli
Glass
Wavelength
Composite materials
Air

Citar esto

Arriaga, J., Gumen, L., & Krokhin, A. A. (2013). Theoretical design of a two-dimensional acoustic metafluid with anisotropic effective mass density. En PIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings (pp. 1331-1336). (Progress in Electromagnetics Research Symposium).
Arriaga, J. ; Gumen, L. ; Krokhin, A. A. / Theoretical design of a two-dimensional acoustic metafluid with anisotropic effective mass density. PIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings. 2013. pp. 1331-1336 (Progress in Electromagnetics Research Symposium).
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Arriaga, J, Gumen, L & Krokhin, AA 2013, Theoretical design of a two-dimensional acoustic metafluid with anisotropic effective mass density. En PIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings. Progress in Electromagnetics Research Symposium, pp. 1331-1336, Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm, Stockholm, Suecia, 12/08/13.

Theoretical design of a two-dimensional acoustic metafluid with anisotropic effective mass density. / Arriaga, J.; Gumen, L.; Krokhin, A. A.

PIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings. 2013. p. 1331-1336 (Progress in Electromagnetics Research Symposium).

Resultado de la investigación: Capítulo del libro/informe/acta de congresoContribución a la conferencia

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Arriaga J, Gumen L, Krokhin AA. Theoretical design of a two-dimensional acoustic metafluid with anisotropic effective mass density. En PIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings. 2013. p. 1331-1336. (Progress in Electromagnetics Research Symposium).