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

Kód výsledku v 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>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

O - Ostatní výsledky

CEP obor

—

OECD FORD obor

10305 - Fluids and plasma physics (including surface physics)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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