Anisotropic dynamic mass density for fluidsolid composites

Ying Wu, Jun Mei, Ping Sheng

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

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.
Original languageEnglish (US)
Title of host publicationPhysica B: Condensed Matter
PublisherElsevier BV
Pages4093-4096
Number of pages4
DOIs
StatePublished - Oct 2012

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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