Effective medium of periodic fluid-solid composites

Jun Mei, Ying Wu, Zhengyou Liu

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15 Scopus citations


An analytic solution of the effective mass density and bulk modulus of a periodic fluid-solid composite is obtained by using the multiple-scattering theory in the long-wavelength limit. It is shown that when the concentration of solid inclusions is high, the effective mass density is structure dependent and differs significantly from the leading-order dipole solution, whereas Wood's formula is accurately valid, independently of the structures. Numerical evaluations from the analytic solution are shown to be in excellent agreement with finite-element simulations. In the vicinity of the tight-packing limit, the critical behavior of the effective mass density is also studied and it is independent of the lattice symmetry. © 2012 Europhysics Letters Association.
Original languageEnglish (US)
Pages (from-to)54001
JournalEPL (Europhysics Letters)
Issue number5
StatePublished - May 24 2012

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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