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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43915300" target="_blank" >RIV/49777513:23520/12:43915300 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/49777513:23640/12:43915300

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.jmps.2012.01.013" target="_blank" >http://dx.doi.org/10.1016/j.jmps.2012.01.013</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmps.2012.01.013" target="_blank" >10.1016/j.jmps.2012.01.013</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 thatare 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 p

Název v anglickém jazyce

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

Popis výsledku anglicky

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 thatare 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 p

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JI - Kompositní materiály

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of the Mechanics and Physics of Solids

ISSN

0022-5096

e-ISSN

—

Svazek periodika

60

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

25

Strana od-do

857-881

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—