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dc.contributor.authorRohan, Eduard
dc.contributor.authorCimrman, Robert
dc.date.accessioned2022-02-28T11:00:19Z-
dc.date.available2022-02-28T11:00:19Z-
dc.date.issued2021
dc.identifier.citationROHAN, E. CIMRMAN, R. Modelling wave dispersion in fluid saturating periodic scaffolds. APPLIED MATHEMATICS AND COMPUTATION, 2021, roč. 410, č. DEC 1 2021, s. 1-29. ISSN: 0096-3003cs
dc.identifier.issn0096-3003
dc.identifier.uri2-s2.0-85106318053
dc.identifier.urihttp://hdl.handle.net/11025/47003
dc.format29 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publishermodelování a optimalizace-
dc.publisherElsevierfr
dc.relation.ispartofseriesApplied Mathematics And Computationfr
dc.rightsrestrictedAccesscs
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.de
dc.rights© Elsevierfr
dc.titleModelling wave dispersion in fluid saturating periodic scaffoldsfr
dc.typepublishedVersioncs
dc.typečláneken
dc.typearticlerus
dc.type.versionPeer-revieweden
dc.description.abstract-translatedAcoustic waves in a slightly compressible fluid saturating porous periodic structure are studied using two complementary approaches: 1) the periodic homogenization (PH) method provides effective model equations for a general dynamic problem imposed in a bounded medium, 2) harmonic acoustic waves are studied in an infinite medium using the Floquet-Bloch (FB) wave decomposition. In contrast with usual simplifications, the advection phenomenon of the Navier-Stokes equations is accounted for. For this, an acoustic approximation is applied to linearize the advection term. The homogenization results are based the periodic unfolding method combined with the asymptotic expansion technique providing a straight upscaling procedure which leads to the macroscopic model defined in terms of the effective model parameters. These are computed using the characteristic responses of the porous microstructure. Using the FB theory, we derive dispersion equations for the scaffolds saturated by the inviscid, or the viscous, barotropic fluids, whereby the advection due to a permanent flow in the porous structures is respected. A computational study is performed for the numerical models obtained using the finite element discretization. For the FB methods-based dispersion analysis, quadratic eigenvalue problems must be solved. The numerical examples show influences of the microstructure size and of the advection generating an anisotropy of the acoustic waves dispersion.en
dc.subject.translatedhomogenizationhu
dc.subject.translatedNavier-Stokes equationshu
dc.subject.translatedporous mediahu
dc.subject.translatedacoustic waveshu
dc.subject.translatedFloquet-Bloch wave decompositionhu
dc.subject.translatedwave dispersionhu
dc.identifier.doi10.1016/j.amc.2021.126256
dc.identifier.document-number718889900002
dc.identifier.obd43931232
dc.project.IDEF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslucs
dc.project.IDGA19-04956S/Dynamika a nelineární chování pokročilých kompozitních strukturcs
Vyskytuje se v kolekcích:Články / Articles (KME)
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