Anisotropic dynamic mass density for fluidsolid composites

Abstract
By taking the low frequency limit of multiple-scattering theory, we obtain the dynamic effective mass density of fluidsolid composites with a two-dimensional rectangular lattice structure. The anisotropic mass density can be described by an angle-dependent dipole solution, to the leading-order of solid concentration. The angular dependence vanishes for the square lattice, but at high solid concentrations there is a structure-dependent factor that contributes to the leading-order solution. In all cases, Woods formula is found to be accurately valid for the effective bulk modulus, independent of the structures. Numerical evaluations from the solutions are shown to be in excellent agreement with finite-element simulations. © 2012 Elsevier B.V.

Citation
Wu, Y., Mei, J., & Sheng, P. (2012). Anisotropic dynamic mass density for fluid–solid composites. Physica B: Condensed Matter, 407(20), 4093–4096. doi:10.1016/j.physb.2012.02.025

Publisher
Elsevier BV

Journal
Physica B: Condensed Matter

Conference/Event Name
Wave Propagation: From Electrons to Photonic Crystals and Metamaterials in honor of Prof. C. M. Soukoulis’ 60th birthday

DOI
10.1016/j.physb.2012.02.025

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