About: Multiscale modeling of a fluid saturated medium with double porosity: relevance to the compact bone

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper, we develop a model of a homogenized fluid-saturated deformable porous medium. To account for the double porosity the Biot model is considered at the mesoscale with a scale-dependent permeability in compartments representing the second-level porosity. This model is treated by the homogenization procedure based on the asymptotic analysis of periodic ``microstructure''. When passing to the limit, auxiliary microscopic problems are introduced, which provide the corrector basis functions that are needed to compute the effective material parameters. The macroscopic problem describes the deformation-induced Darcy flow in the primary porosities whereas the microflow in the double porosity is responsible for the fading memory effects via the macroscopic poro-visco-elastic constitutive law. For the homogenization procedure, we use the periodic unfolding method. We discuss also the stress and flow recovery at multiple scales characterizing the heterogeneous material. The model is proposed as a theoretical basis to describe compact bone behavior on multiple scales. In this paper, we develop a model of a homogenized fluid-saturated deformable porous medium. To account for the double porosity the Biot model is considered at the mesoscale with a scale-dependent permeability in compartments representing the second-level porosity. This model is treated by the homogenization procedure based on the asymptotic analysis of periodic ``microstructure''. When passing to the limit, auxiliary microscopic problems are introduced, which provide the corrector basis functions that are needed to compute the effective material parameters. The macroscopic problem describes the deformation-induced Darcy flow in the primary porosities whereas the microflow in the double porosity is responsible for the fading memory effects via the macroscopic poro-visco-elastic constitutive law. For the homogenization procedure, we use the periodic unfolding method. We discuss also the stress and flow recovery at multiple scales characterizing the heterogeneous material. The model is proposed as a theoretical basis to describe compact bone behavior on multiple scales. (en)
Title	Multiscale modeling of a fluid saturated medium with double porosity: relevance to the compact bone Multiscale modeling of a fluid saturated medium with double porosity: relevance to the compact bone (en)
skos:prefLabel	Multiscale modeling of a fluid saturated medium with double porosity: relevance to the compact bone Multiscale modeling of a fluid saturated medium with double porosity: relevance to the compact bone (en)
skos:notation	RIV/49777513:23520/12:43915300!RIV13-GA0-23520___
http://linked.open...avai/predkladatel	Fakulta aplikovaných věd
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0090), P(GA106/09/0740)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Rohan, Eduard
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
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	152467
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/12:43915300
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	double porous medium, Biot model, homogenization, compact bone, fading memory (en)
http://linked.open.../riv/klicoveSlovo	homogenization Biot model compact bone double porous medium fading memory
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[196B79867358]
http://linked.open...i/riv/nazevZdroje	Journal of the Mechanics and Physics of Solids
http://linked.open...in/vavai/riv/obor	JI
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Microstructure oriented hierarchical modeling of brain perfusion for CT based cerebral blood flow evaluation NTIS - New Technologies for Information Society
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	60
http://linked.open...iv/tvurceVysledku	Lemaire, T. Rohan, Eduard Cimrman, Robert Naili, S.
issn	0022-5096
number of pages	25 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.jmps.2012.01.013
http://localhost/t...ganizacniJednotka	23520
is http://linked.open...avai/riv/vysledek of	Multiscale modeling of a fluid saturated medium with double porosity: relevance to the compact bone

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