Metasolid with anisotropic mass density

The researchers have developed a homogenization theory for solid phononic crystals which is valid for arbitrary Bravais lattice and any form of inclusions in the unit cell. The theory provides explicit expressions for the tensors of the effective nonlocal elastic response, namely the effective dynam...

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Bibliographic Details
Published inEurophysics letters Vol. 103; no. 5; p. 1
Main Authors Flores-Méndez, J, Pérez-Rodríguez, F
Format Journal Article
LanguageEnglish
Published Les Ulis IOP Publishing 01.09.2013
Subjects
Anisotropy
Density
Elastic anisotropy
Elastic limit
Homogenizing
Lattices
Liquids
Mathematical analysis
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Summary:The researchers have developed a homogenization theory for solid phononic crystals which is valid for arbitrary Bravais lattice and any form of inclusions in the unit cell. The theory provides explicit expressions for the tensors of the effective nonlocal elastic response, namely the effective dynamic mass density and compliance matrices. It is shown how the derived expressions can also be applied to phononic crystals with liquid components. They demonstrate that rectangular two-dimensional lattices of water-filled holes in an elastic host matrix exhibit solid-like behavior with strongly anisotropic mass density in the low-frequency limit.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0295-5075
1286-4854