About: Homogenization of Perfusion in a Large-Deforming Medium using the Updated Lagrangian Formulation

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
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 (en)
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 (en)
skos:notation	RIV/49777513:23520/10:00503942!RIV11-GA0-23520___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA106/09/0740), Z(MSM4977751303)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Rohan, Eduard Lukeš, Vladimír
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	262069
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/10:00503942
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	porous medium; perfusion; large deformation; Biot model; homogenization; multiscale modeling (en)
http://linked.open.../riv/klicoveSlovo	perfusion multiscale modeling homogenization large deformation Biot model porous medium
http://linked.open...ontrolniKodProRIV	[55B18273C061]
http://linked.open...in/vavai/riv/obor	BK
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Microstructure oriented hierarchical modeling of brain perfusion for CT based cerebral blood flow evaluation
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Lukeš, Vladimír Rohan, Eduard
http://linked.open...n/vavai/riv/zamer	Predikce poruch heterogenních materiálů, komponent mechanických a biomechanických systémů.
http://localhost/t...ganizacniJednotka	23520

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