Reyes Ayona, E.; Torrent Martí, D.; Sánchez-Dehesa Moreno-Cid, J. (2012). Homogenization theory for periodic distributions of elastic cylinders embedded in a viscous fluid. Journal of the Acoustical Society of America. 132(4):2896-2908. https://doi.org/10.1121/1.4744933
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/56832
Title:
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Homogenization theory for periodic distributions of elastic cylinders embedded in a viscous fluid
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Author:
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Reyes Ayona, Edgar
Torrent Martí, Daniel
Sánchez-Dehesa Moreno-Cid, José
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UPV Unit:
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Universitat Politècnica de València. Departamento de Ingeniería Electrónica - Departament d'Enginyeria Electrònica
Universitat Politècnica de València. Departamento de Estadística e Investigación Operativa Aplicadas y Calidad - Departament d'Estadística i Investigació Operativa Aplicades i Qualitat
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Issued date:
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Abstract:
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A multiple-scattering theory is applied to study the homogenization of clusters of elastic cylinders distributed in a isotropic lattice and embedded in a viscous fluid. Asymptotic relations are derived and employed to ...[+]
A multiple-scattering theory is applied to study the homogenization of clusters of elastic cylinders distributed in a isotropic lattice and embedded in a viscous fluid. Asymptotic relations are derived and employed to obtain analytical formulas for the effective parameters of homogenized clusters in which the underlying lattice has a low filling fraction. It is concluded that such clusters behave, in the low frequency limit, as an effective elastic medium. Particularly, it is found that the effective dynamical mass density follows the static estimate; i.e., the homogenization procedure does not recover the non-linear behavior obtained for the inviscid case. Moreover, the longitudinal and transversal sound speeds do not show any dependence on fluid viscosity. Numerical simulations performed for clusters made of brass cylinders embedded in glycerin support the reliability of the effective parameters resulting from the homogenization procedure reported here. (C) 2012 Acoustical Society of America. [http://dx.doi.org/10.1121/1.4744933]
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Subjects:
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Analytical formulas
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Effective parameters
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Elastic cylinders
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Elastic medium
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Fluid viscosity
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Homogenization procedure
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Homogenization theory
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Isotropic lattices
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Low filling fraction
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Low frequency limits
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Mass densities
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Multiple-scattering theory
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Nonlinear behavior
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Periodic distribution
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Sound speed
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Viscous fluids
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Glycerol
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Viscous flow
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Cylinders (shapes)
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Copyrigths:
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Cerrado |
Source:
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Journal of the Acoustical Society of America. (issn:
0001-4966
) (eissn:
1520-8524
)
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DOI:
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10.1121/1.4744933
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Publisher:
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Acoustical Society of America
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Publisher version:
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http://dx.doi.org/10.1121/1.4744933
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Project ID:
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info:eu-repo/grantAgreement/ONR//N00014-09-1-0554/
info:eu-repo/grantAgreement/MICINN//TEC2010-19751/ES/NUEVOS DISPOSITIVOS BASADOS EN METAMATERIALES ELECTROMAGNETICOS Y ACUSTICOS/
info:eu-repo/grantAgreement/MICINN//CSD2008-00066/ES/Ingeniería de Metamateriales/
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Thanks:
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This work was partially supported by the U.S. Office of Naval Research (Award No. N000140910554) and by the Spanish Ministry of Science and Innovation under Contracts Nos. TEC2010-19751 and CSD2008-66 (CONSOLIDER program). ...[+]
This work was partially supported by the U.S. Office of Naval Research (Award No. N000140910554) and by the Spanish Ministry of Science and Innovation under Contracts Nos. TEC2010-19751 and CSD2008-66 (CONSOLIDER program). D. T. acknowledges a research grant provided by the program "Campus de Excelencia 2010 UPV."
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Type:
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Artículo
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