### 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 original | Inglés |
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Título de la publicación alojada | PIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings |

Páginas | 1331-1336 |

Número de páginas | 6 |

Estado | Publicada - 4 oct 2013 |

Evento | Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm - Stockholm, Suecia Duración: 12 ago 2013 → 15 ago 2013 |

### Serie de la publicación

Nombre | Progress in Electromagnetics Research Symposium |
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ISSN (versión impresa) | 1559-9450 |

### Otros

Otros | Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm |
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País | Suecia |

Ciudad | Stockholm |

Período | 12/08/13 → 15/08/13 |

### Huella dactilar

### Citar esto

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

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*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.

Resultado de la investigación: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia

TY - GEN

T1 - Theoretical design of a two-dimensional acoustic metafluid with anisotropic effective mass density

AU - Arriaga, J.

AU - Gumen, L.

AU - Krokhin, A. A.

PY - 2013/10/4

Y1 - 2013/10/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84884794417&partnerID=8YFLogxK

M3 - Contribución a la conferencia

AN - SCOPUS:84884794417

SN - 9781934142264

T3 - Progress in Electromagnetics Research Symposium

SP - 1331

EP - 1336

BT - PIERS 2013 Stockholm - Progress in Electromagnetics Research Symposium, Proceedings

ER -