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The computational homogenization for modelling of large deforming fluid saturated porous media

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43933043" target="_blank" >RIV/49777513:23520/17:43933043 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The computational homogenization for modelling of large deforming fluid saturated porous media

  • Original language description

    We have developed a model of fluid saturated porous media (FSPM) subject to large deformation. The mechanical model describes FSPM with hyperelastic skeleton and compressible viscous fluid. The dynamic behaviour is confined to approximation of the inertia effects associated with the relative fluid-solid motion so that the model is convenient for describing quasistatic loading of large-deforming porous structures. The computational algorithm is based upon a consistent incremental formulation in the Eulerian framework, such that the incremental formulation uses the updated Lagrangian approach. The formulation is based on a quasistatic perturbation of the medium described by the Biot model which is constituted by poroelastic coefficients and the permeability governing the Darcy flow. The equilibrium equation and the mass conservation are expressed in the spatial, deformed configuration. Using the material derivative with respect to a convection velocity field, a rate formulation is derived which allows to approximate the residuum function associated with the unknown configuration using the last known configuration.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

  • OECD FORD branch

    10305 - Fluids and plasma physics (including surface physics)

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

    2017

  • Confidentiality

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