Modeling nonlinear phenomena in deforming fluid-saturated porous media using homogenization and sensitivity analysis concepts
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43926108" target="_blank" >RIV/49777513:23520/15:43926108 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2015.01.054" target="_blank" >http://dx.doi.org/10.1016/j.amc.2015.01.054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2015.01.054" target="_blank" >10.1016/j.amc.2015.01.054</a>
Alternative languages
Result language
angličtina
Original language name
Modeling nonlinear phenomena in deforming fluid-saturated porous media using homogenization and sensitivity analysis concepts
Original language description
Homogenization of heterogeneous media with nonlinear effects leads to computationally complex problems requiring updating local microstructures and solving local auxiliary problems to compute characteristic responses. In this paper we suggest how to circumvent such a computationally expensive updating procedure while using an efficient approximation scheme for the local homogenized coefficients, so that the complexity of the whole two-scale modeling is reduced substantially. We consider the deforming porous fluid saturated media described by the Biot model. The proposed modeling approaches are based on the homogenization of the quasistatic fluid-structure interaction whereby differentiation with respect to the microstructure deformation is used as a tool for linearization. Assuming the linear kinematics framework, the physical nonlinearity in the Biot continuum is introduced in terms of the deformation-dependent material coefficients which are approximated as linear functions of the ma
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
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Volume of the periodical
267
Issue of the periodical within the volume
September
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
13
Pages from-to
583-595
UT code for WoS article
000361571100048
EID of the result in the Scopus database
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