Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43926105" target="_blank" >RIV/49777513:23520/15:43926105 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00161-015-0475-9" target="_blank" >http://dx.doi.org/10.1007/s00161-015-0475-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00161-015-0475-9" target="_blank" >10.1007/s00161-015-0475-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem

Popis výsledku v původním jazyce

We propose a model of complex poroelastic media with periodic or locally periodic structures observed at microscopic and mesoscopic scales. Using a two-level homogenization procedure, we derive a model coherent with the Biot continuum, describing effective properties of such a hierarchically structured poroelastic medium. The effective material coefficients can be computed using characteristic responses of the micro- and mesostructures which are solutions of local problems imposed in representative volume elements describing the poroelastic medium at the two levels of heterogeneity. In the paper, we discus various combinations of the interface between the micro- and mesoscopic porosities, influence of the fluid compressibility, or solid incompressibility. Gradient of porosity is accounted for when dealing with locally periodic structures. Derived formulae for computing the poroelastic material coefficients characterize not only the steady-state responses with static fluid, but are relevant also for quasistatic problems. The model is applicable in geology, or in tissue biomechanics, in particular for modeling canalicular-lacunar porosity of bone which can be characterized at several levels. (C) 2015 Springer-Verlag Berlin Heidelberg

Název v anglickém jazyce

Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem

Popis výsledku anglicky

We propose a model of complex poroelastic media with periodic or locally periodic structures observed at microscopic and mesoscopic scales. Using a two-level homogenization procedure, we derive a model coherent with the Biot continuum, describing effective properties of such a hierarchically structured poroelastic medium. The effective material coefficients can be computed using characteristic responses of the micro- and mesostructures which are solutions of local problems imposed in representative volume elements describing the poroelastic medium at the two levels of heterogeneity. In the paper, we discus various combinations of the interface between the micro- and mesoscopic porosities, influence of the fluid compressibility, or solid incompressibility. Gradient of porosity is accounted for when dealing with locally periodic structures. Derived formulae for computing the poroelastic material coefficients characterize not only the steady-state responses with static fluid, but are relevant also for quasistatic problems. The model is applicable in geology, or in tissue biomechanics, in particular for modeling canalicular-lacunar porosity of bone which can be characterized at several levels. (C) 2015 Springer-Verlag Berlin Heidelberg

Druh

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

CEP obor

JI - Kompositní materiály

OECD FORD obor

—

Projekt

<a href="/cs/project/GA13-00863S" target="_blank" >GA13-00863S: Semilineární a kvazilineární diferenciální rovnice: existence a násobnost řešení</a><br>

Návaznosti

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

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Continuum Mechanics and Thermodynamics

ISSN

0935-1175

e-ISSN

—

Svazek periodika

27

Číslo periodika v rámci svazku

143

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

31

Strana od-do

1-31

Kód UT WoS článku

000382016900003

EID výsledku v databázi Scopus

2-s2.0-84940704020