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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem
Original language description
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
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JI - Composite materials
OECD FORD branch
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Project
<a href="/en/project/GA13-00863S" target="_blank" >GA13-00863S: Semilinear and Quasilinear Differential Equations: Existence and Multiplicity Results</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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