Metasolid with anisotropic mass density
Instituto de Física, Benemérita Universidad Autónoma de Puebla - Apdo. Post. J-48, Puebla, Pue., 72570, Mexico
Received: 22 July 2013
Accepted: 3 September 2013
We 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. We 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.
PACS: 43.35.+d – Ultrasonics, quantum acoustics, and physical effects of sound / 43.20.+g – General linear acoustics / 81.05.Zx – New materials: theory, design, and fabrication
© EPLA, 2013