Homogenization of large deforming fluid-saturated porous structures

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dc.contributor.authorLukeš, Vladimír
dc.contributor.authorRohan, Eduard
dc.date.accessioned2022-08-29T13:02:25Z
dc.date.available2022-08-29T13:02:25Z
dc.date.issued2022
dc.description.abstract-translatedThe two-scale computational homogenization method is proposed for modeling of locally periodic fluid-saturated media subjected to a large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the mesoscopic scale at which a double porous medium constituted by a hyperelastic skeleton and an incompressible viscous fluid is featured by large contrasts in the permeability. Within the Eulerian framework related to the current deformed configuration, the two-scale homogenization approach is applied to a linearized model discretized in time, being associated with an incremental formulation. For this, the equilibrium equation and the mass conservation expressed in the spatial configuration are differentiated using the material derivative with respect to a convection velocity field. The homogenization procedure of the linearized equations provides effective (homogenized) material properties which are computed to constitute the incremental macroscopic problem. The coupled algorithm for the multiscale problem is implemented using the finite element method. Illustrative 2D numerical simulations of a poroelastic medium are presented including a simple validation test.en
dc.format24 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationLUKEŠ, V. ROHAN, E. Homogenization of large deforming fluid-saturated porous structures. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, roč. 110, č. 15 March 2022, s. 40-63. ISSN: 0898-1221cs
dc.identifier.document-number789882400003
dc.identifier.doi10.1016/j.camwa.2022.01.036
dc.identifier.issn0898-1221
dc.identifier.obd43935086
dc.identifier.uri2-s2.0-85124237442
dc.identifier.urihttp://hdl.handle.net/11025/49402
dc.language.isoenen
dc.project.IDGA21-16406S/Nelineární akustika a transportní procesy v porézních periodických strukturáchcs
dc.project.IDEF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslucs
dc.publisherElsevieren
dc.relation.ispartofseriesComputers & Mathematics With Applicationsen
dc.rightsPlný text není přístupný.cs
dc.rights© Elsevieren
dc.rights.accessclosedAccessen
dc.subject.translatedBiot modelen
dc.subject.translatedMultiscale modelingen
dc.subject.translatedPorous mediaen
dc.subject.translatedTissue perfusionen
dc.subject.translatedTwo-scale homogenizationen
dc.subject.translatedUpdated Lagrangian formulationen
dc.titleHomogenization of large deforming fluid-saturated porous structuresen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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