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dc.contributor.authorRohan, Eduard
dc.contributor.authorNquyen, Vu-Hieu
dc.contributor.authorNaili, Salah
dc.date.accessioned2021-03-15T11:00:27Z-
dc.date.available2021-03-15T11:00:27Z-
dc.date.issued2021
dc.identifier.citationROHAN, E. NQUYEN, V. NAILI, S.Homogenization approach and Floquet-Bloch theory for wave analysis in fluid-saturated porous media with mesoscopic heterogeneities. Applied mathematical modelling, 2021, roč. 91, č. 28 September 2020, s. 1-23. ISSN 0307-904X.cs
dc.identifier.issn0307-904X
dc.identifier.uri2-s2.0-85092219509
dc.identifier.urihttp://hdl.handle.net/11025/42920
dc.format23 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherElsevierfr
dc.relation.ispartofseriesApplied Mathematical Modellinghu
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.cs
dc.rights© Elsevieren
dc.titleHomogenization approach and Floquet-Bloch theory for wave analysis in fluid-saturated porous media with mesoscopic heterogeneitiesfr
dc.typečlánekcs
dc.rights.accessrestrictedAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedWeconsiderfluid-saturatedporoelasticmediawhosethemechanicalresponseisgovernedbytheBiotmodelrelevanttoamesoscopicscale.Assumingthematerialpropertiesbeingdescribedbyperiodicfunctions,toanalyzewavepropagationinsuchheterogeneousandanisotropicmedia,wederiveaformulationbasedontheFloquet-Bloch(FB)wavedecom-positionwhichenablestoanalyzewaveswithinthewholefirstBrillouinzoneassociatedwiththeperiodicstructure.ThewavedispersionresultsobtainedbytheFBapproacharecomparedwiththosecomputedusingamodelderivedbythehomogenizationbasedontheasymptoticanalysiswithrespecttothescaleparameter.Asanothernewingredient,thehomogenizedmodelisextendedtodescribemediasaturatedsimultaneouslybymultipledifferentfluids,sothatthemodelinvolvesnewpermeabilitytensorsanddiffersinstruc-turefromthemodelderivedearlier.ThedispersionanalysisbytheFBapproachleadstoacumbersomequadraticeigenvalueproblemtobesolvedforcomplexwavenumbers.Wesuggestanefficientfiltrationstrategytoidentifytheprinciplepropagatingmodes(thefastandslowcompressionalwavesandtheshearwaves).ForcomparisonwithresultsoftheFBtransformationappliedatthemesoscopicheterogeneityscale,thehomogenizedmodelresponsesarereconstructedusingthecorrectorresultsofthehomogenizationwithfixingafinitescale.Numericalexamplesillustrateverygoodcorrespondenceofthedispersionresults,ascomputedbyboththeapproaches.en
dc.subject.translatedPoroelasticityhu
dc.subject.translatedBiot modelhu
dc.subject.translatedFloquet-Bloch waveshu
dc.subject.translatedWave dispersionhu
dc.subject.translatedPeriodic mediahu
dc.subject.translatedHomogenizationhu
dc.identifier.doi10.1016/j.apm.2020.08.044
dc.type.statusPeer-revieweden
dc.identifier.document-number606310600001
dc.identifier.obd43930411
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
dc.project.IDGA17-01618S/Akustika kapalin v periodických mikroarchitekturáchcs
dc.project.IDGA19-04956S/Dynamika a nelineární chování pokročilých kompozitních strukturcs
dc.project.IDEF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslucs
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