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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BK - Liquid mechanics

  • OECD FORD branch

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

  • 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