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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F10%3A00503942%21RIV11-GA0-23520___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
In this paper we consider the problem of the Darcy ow in large deforming medium characterized by the double porosity. An incremental formulation based on the updated Lagrangean and the Biot continuum model is introduced, where the equations involve mechanical equilibrium and the volume conservation, assuming both the uid and solid phases are incompressible. This linear system is treated by the homogenization method. Locally periodic reference microstructures are considered, where the permeability is dened piecewise, being scaled w.r.t. the microstructure size in the matrix compartment which separates the so-called channels. The homogenized incremental problem involves the macroscopic pressures associated with these channels. Homogenized coefcients of the macroscopic incremental equations are computed for any local microstructure, depending on the corrector solutions of auxiliary local microscopic problems. Updating the reference conguration is discussed and a numerical illustration is given. In this paper we consider the problem of the Darcy ow in large deforming medium characterized by the double porosity. An incremental formulation based on the updated Lagrangean and the Biot continuum model is introduced, where the equations involve mechanical equilibrium and the volume conservation, assuming both the uid and solid phases are incompressible. This linear system is treated by the homogenization method. Locally periodic reference microstructures are considered, where the permeability is dened piecewise, being scaled w.r.t. the microstructure size in the matrix compartment which separates the so-called channels. The homogenized incremental problem involves the macroscopic pressures associated with these channels. Homogenized coefcients of the macroscopic incremental equations are computed for any local microstructure, depending on the corrector solutions of auxiliary local microscopic problems. Updating the reference conguration is discussed and a numerical illustration is given.
dcterms:title
Homogenization of Perfusion in a Large-Deforming Medium using the Updated Lagrangian Formulation Homogenization of Perfusion in a Large-Deforming Medium using the Updated Lagrangian Formulation
skos:prefLabel
Homogenization of Perfusion in a Large-Deforming Medium using the Updated Lagrangian Formulation Homogenization of Perfusion in a Large-Deforming Medium using the Updated Lagrangian Formulation
skos:notation
RIV/49777513:23520/10:00503942!RIV11-GA0-23520___
n4:aktivita
n9:Z n9:P
n4:aktivity
P(GA106/09/0740), Z(MSM4977751303)
n4:dodaniDat
n12:2011
n4:domaciTvurceVysledku
n8:1351958 n8:5644828
n4:druhVysledku
n14:O
n4:duvernostUdaju
n11:S
n4:entitaPredkladatele
n10:predkladatel
n4:idSjednocenehoVysledku
262069
n4:idVysledku
RIV/49777513:23520/10:00503942
n4:jazykVysledku
n13:eng
n4:klicovaSlova
porous medium; perfusion; large deformation; Biot model; homogenization; multiscale modeling
n4:klicoveSlovo
n6:porous%20medium n6:multiscale%20modeling n6:Biot%20model n6:large%20deformation n6:homogenization n6:perfusion
n4:kontrolniKodProRIV
[55B18273C061]
n4:obor
n15:BK
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
2
n4:projekt
n7:GA106%2F09%2F0740
n4:rokUplatneniVysledku
n12:2010
n4:tvurceVysledku
Rohan, Eduard Lukeš, Vladimír
n4:zamer
n16:MSM4977751303
n17:organizacniJednotka
23520