Journal
EPL
Volume 98, Issue 5, Pages -Publisher
EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
DOI: 10.1209/0295-5075/98/54001
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Funding
- National Natural Science Foundation of China [10804086]
- PhD Programs Foundation of Ministry of Education of China [200804861018]
- Fundamental Research Funds for the Central Universities [2012ZZ0077]
- KAUST Start-up Package
- Hong Kong RGC [HKUST 604207]
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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. Copyright (C) EPLA, 2012
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