Effective medium of periodic fluid-solid composites

Handle URI:
http://hdl.handle.net/10754/562194
Title:
Effective medium of periodic fluid-solid composites
Authors:
Mei, Jun; Wu, Ying ( 0000-0002-7919-1107 ) ; Liu, Zhengyou
Abstract:
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program; Waves in Complex Media Research Group
Publisher:
European Physical Society
Journal:
EPL
Issue Date:
24-May-2012
DOI:
10.1209/0295-5075/98/54001
Type:
Article
ISSN:
02955075
Sponsors:
The authors would like to thank Profs. PING SHENG and ZHAOQING ZHANG for discussions. This work was supported by National Natural Science Foundation of China (Grant No. 10804086) and the PhD Programs Foundation of Ministry of Education of China (Grant No. 200804861018), the Fundamental Research Funds for the Central Universities (Grant No. 2012ZZ0077), KAUST Start-up Package, and Hong Kong RGC grant HKUST 604207.
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorMei, Junen
dc.contributor.authorWu, Yingen
dc.contributor.authorLiu, Zhengyouen
dc.date.accessioned2015-08-03T09:46:58Zen
dc.date.available2015-08-03T09:46:58Zen
dc.date.issued2012-05-24en
dc.identifier.issn02955075en
dc.identifier.doi10.1209/0295-5075/98/54001en
dc.identifier.urihttp://hdl.handle.net/10754/562194en
dc.description.abstractAn 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.en
dc.description.sponsorshipThe authors would like to thank Profs. PING SHENG and ZHAOQING ZHANG for discussions. This work was supported by National Natural Science Foundation of China (Grant No. 10804086) and the PhD Programs Foundation of Ministry of Education of China (Grant No. 200804861018), the Fundamental Research Funds for the Central Universities (Grant No. 2012ZZ0077), KAUST Start-up Package, and Hong Kong RGC grant HKUST 604207.en
dc.publisherEuropean Physical Societyen
dc.titleEffective medium of periodic fluid-solid compositesen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentWaves in Complex Media Research Groupen
dc.identifier.journalEPLen
dc.contributor.institutionDepartment of Physics, South China University of Technology, Guangzhou 510641, Chinaen
dc.contributor.institutionDepartment of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kongen
dc.contributor.institutionDepartment of Physics, Wuhan University, Wuhan 430072, Chinaen
kaust.authorWu, Yingen
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