Volume 98, Number 5, June 2012
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||24 May 2012|
Effective medium of periodic fluid-solid composites
Department of Physics, South China University of Technology - Guangzhou 510641, China
2 Division of Mathematical and Computer Sciences and Engineering, King Abdullah University of Science and Technology (KAUST) - Thuwal 23955-6900, Saudi Arabia
3 Department of Physics, Hong Kong University of Science and Technology - Clear Water Bay, Kowloon, Hong Kong, China
4 Department of Physics, Wuhan University - Wuhan 430072, China
Accepted: 9 May 2012
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.
PACS: 43.35.+d – Ultrasonics, quantum acoustics, and physical effects of sound / 43.20.+g – General linear acoustics / 43.40.+s – Structural acoustics and vibration
© EPLA, 2012
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