Homogenization of large deforming fluid-saturated porous structures

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43964087" target="_blank" >RIV/49777513:23520/22:43964087 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.camwa.2022.01.036" target="_blank" >https://doi.org/10.1016/j.camwa.2022.01.036</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2022.01.036" target="_blank" >10.1016/j.camwa.2022.01.036</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization of large deforming fluid-saturated porous structures

Popis výsledku v původním jazyce

The two-scale computational homogenization method is proposed for modeling of locally periodic fluid-saturated media subjected to a large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the mesoscopic scale at which a double porous medium constituted by a hyperelastic skeleton and an incompressible viscous fluid is featured by large contrasts in the permeability. Within the Eulerian framework related to the current deformed configuration, the two-scale homogenization approach is applied to a linearized model discretized in time, being associated with an incremental formulation. For this, the equilibrium equation and the mass conservation expressed in the spatial configuration are differentiated using the material derivative with respect to a convection velocity field. The homogenization procedure of the linearized equations provides effective (homogenized) material properties which are computed to constitute the incremental macroscopic problem. The coupled algorithm for the multiscale problem is implemented using the finite element method. Illustrative 2D numerical simulations of a poroelastic medium are presented including a simple validation test.

Název v anglickém jazyce

Homogenization of large deforming fluid-saturated porous structures

Popis výsledku anglicky

The two-scale computational homogenization method is proposed for modeling of locally periodic fluid-saturated media subjected to a large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the mesoscopic scale at which a double porous medium constituted by a hyperelastic skeleton and an incompressible viscous fluid is featured by large contrasts in the permeability. Within the Eulerian framework related to the current deformed configuration, the two-scale homogenization approach is applied to a linearized model discretized in time, being associated with an incremental formulation. For this, the equilibrium equation and the mass conservation expressed in the spatial configuration are differentiated using the material derivative with respect to a convection velocity field. The homogenization procedure of the linearized equations provides effective (homogenized) material properties which are computed to constitute the incremental macroscopic problem. The coupled algorithm for the multiscale problem is implemented using the finite element method. Illustrative 2D numerical simulations of a poroelastic medium are presented including a simple validation test.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

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

2022

Kód důvěrnosti údajů

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

Název periodika

COMPUTERS &amp; MATHEMATICS WITH APPLICATIONS

ISSN

0898-1221

e-ISSN

1873-7668

Svazek periodika

110

Číslo periodika v rámci svazku

15 March 2022

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

24

Strana od-do

40-63

Kód UT WoS článku

000789882400003

EID výsledku v databázi Scopus

2-s2.0-85124237442