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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F12%3A43896597%21RIV13-GA0-23520___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
The paper deals with a model of the homogenized fluid saturated porous material which recently was proposed by the authors. The model was obtained using the asymptotic analysis of the Biot type medium with the dual porosity. The homogenized macroscopic model is featured by the fading memory effects arising from the microflow in the dual porosity. We derive the steady state formulations and discuss several topics related to the numerical implementation of the model, namely the solution procedure of the discretized microscopic problems, evaluation of the homogenized coefficients and an approximation of the convolution integrals of the macroscopic model, so that the fading memory effects are computationally tractable. Numerical examples are presented to illustrate the approximation schemes discussed in the paper. All computations were performed using the in-house developed finite element code SfePy allowing the multiscale simulations. Besides various potential engineering applications, the present model is intended for simulations of compact bone poroelasticity. The paper deals with a model of the homogenized fluid saturated porous material which recently was proposed by the authors. The model was obtained using the asymptotic analysis of the Biot type medium with the dual porosity. The homogenized macroscopic model is featured by the fading memory effects arising from the microflow in the dual porosity. We derive the steady state formulations and discuss several topics related to the numerical implementation of the model, namely the solution procedure of the discretized microscopic problems, evaluation of the homogenized coefficients and an approximation of the convolution integrals of the macroscopic model, so that the fading memory effects are computationally tractable. Numerical examples are presented to illustrate the approximation schemes discussed in the paper. All computations were performed using the in-house developed finite element code SfePy allowing the multiscale simulations. Besides various potential engineering applications, the present model is intended for simulations of compact bone poroelasticity.
dcterms:title
Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media
skos:prefLabel
Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media
skos:notation
RIV/49777513:23520/12:43896597!RIV13-GA0-23520___
n18:predkladatel
n19:orjk%3A23520
n3:aktivita
n10:P
n3:aktivity
P(GA106/09/0740)
n3:cisloPeriodika
10
n3:dodaniDat
n9:2013
n3:domaciTvurceVysledku
n6:4490673 n6:1351958
n3:druhVysledku
n12:J
n3:duvernostUdaju
n20:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
152465
n3:idVysledku
RIV/49777513:23520/12:43896597
n3:jazykVysledku
n15:eng
n3:klicovaSlova
Multiscale simulation; Double porosity; Fluid-saturated porous medium; Fading memory; Homogenization
n3:klicoveSlovo
n4:Fading%20memory n4:Multiscale%20simulation n4:Double%20porosity n4:Fluid-saturated%20porous%20medium n4:Homogenization
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[6BAD52EA613B]
n3:nazevZdroje
Mathematics and Computers in Simulation
n3:obor
n11:BO
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n13:GA106%2F09%2F0740
n3:rokUplatneniVysledku
n9:2012
n3:svazekPeriodika
82
n3:tvurceVysledku
Cimrman, Robert Rohan, Eduard
s:issn
0378-4754
s:numberOfPages
29
n17:doi
10.1016/j.matcom.2011.02.011
n16:organizacniJednotka
23520