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dc.contributor.authorRohan, Eduard
dc.contributor.authorCimrman, Robert
dc.contributor.authorNaili, Salah
dc.date.accessioned2021-08-30T10:00:16Z-
dc.date.available2021-08-30T10:00:16Z-
dc.date.issued2021
dc.identifier.citationROHAN, E., CIMRMAN, R., NAILI, S. Modelling of acoustic waves in homogenized fluid-saturated deforming poroelastic periodic structures under permanent flow. Journal of computational and applied mathematics, 2021, roč. 394, č. OCT 1 2021, s. 1-27. ISSN 0377-0427.cs
dc.identifier.issn0377-0427
dc.identifier.uri2-s2.0-85103932273
dc.identifier.urihttp://hdl.handle.net/11025/44959
dc.format27 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofseriesJournal Of Computational And Applied Mathematicsen
dc.rightsPlný text není přístupný.cs
dc.rights© Elsevieren
dc.titleModelling of acoustic waves in homogenized fluid-saturated deforming poroelastic periodic structures under permanent flowen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessclosedAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedAcoustic waves in a poroelastic medium with periodic structure are studied with respect to permanent seepage flow which modifies the wave propagation. The effective medium model is obtained using the homogenization of the linearized fluid-structure interaction problem while respecting the advection phenomenon in the Navier-Stokes equations. For linearization of the micromodel, an acoustic approximation is introduced which yields a problem for the acoustic fluctuations of the solid displacements, the fluid velocity and pressure. An extended Darcy law of the macromodel involves the permeability and advection tensors which both depend on an assumed stationary perfusion of the porous structure. The monochromatic plane wave propagation is described in terms of two quasi-compressional and two quasi-shear modes. Two alternative problem formulations in the frequency domain are discussed. The one defined in terms of displacement and velocity fields leads to generalized eigenvalue problems involving non-Hermitean matrices whose entries are constituted by the homogenized coefficients depending on the incident wave frequencies, whereby degenerate permeabilities can be accounted for. The homogenization procedure and the wave dispersion analysis have been implemented to explore the influence of the advection flow and the microstructure geometry on the wave propagation properties, namely the phase velocity and attenuation. Numerical examples are reported. (C) 2021 Elsevier B.V. All rights reserved.en
dc.subject.translatedAcoustic wavesen
dc.subject.translatedHomogenizationen
dc.subject.translatedPorous mediaen
dc.subject.translatedFluid-structure interactionen
dc.subject.translatedAdvectionen
dc.subject.translatedBiot continuumen
dc.identifier.doi10.1016/j.cam.2021.113536
dc.type.statusPeer-revieweden
dc.identifier.document-number645665800013
dc.identifier.obd43933042
dc.project.IDGA19-04956S/Dynamika a nelineární chování pokročilých kompozitních strukturcs
dc.project.IDEF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslucs
Vyskytuje se v kolekcích:Články / Articles (NTIS)
OBD

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