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dc.contributor.authorRohan, Eduard
dc.contributor.authorLukes, Vladimir
dc.contributor.authorTurjanicová, Jana
dc.contributor.authorCimrman, Robert
dc.description.abstractWe present the two-level homogenization of the flow in a deformable double-porous structure described at two characteristic scales: the higher level porosity associated with the mesoscopic structure is constituted by channels in an elastic skeleton which is made of a microporous material. The macroscopic model is derived by the asymptotic analysis of the viscous flow in the heterogeneous structure characterized by two small parameters. The first level upscaling yields a Biot continuum model coupled with the Stokes flow. The second step of the homogenization leads to a macroscopic flow model which attains the form of the Darcy-Brinkman flow model coupled with the deformation of the poroelastic continuum involving the effective parameters given by the microscopic and the mesoscopic porosity features.
dc.format.extent12 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshFinite element method
dc.subject.lcshPlasticity -- Mathematical models
dc.subject.otherBiot model, Homogenization, Double-porosity media, Poroelasticity, Darcy flow, Stokes flow, Brinkman model
dc.titleTwo level homogenization of flows in deforming double porosity media: biot-darcy-brinkman model
dc.typeConference report
dc.subject.lemacElements finits, Mètode dels
dc.subject.lemacPlasticitat -- Models matemàtics
dc.rights.accessOpen Access
local.citation.contributorCOMPLAS XIV
local.citation.publicationNameCOMPLAS XIV : proceedings of the XIV International Conference on Computational Plasticity : fundamentals and applications

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