Issue |
EPL
Volume 98, Number 5, June 2012
|
|
---|---|---|
Article Number | 54001 | |
Number of page(s) | 6 | |
Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
DOI | https://doi.org/10.1209/0295-5075/98/54001 | |
Published online | 24 May 2012 |
Effective medium of periodic fluid-solid composites
1
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
Received:
24
April
2012
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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