Homogenization of large deforming fluid-saturated porous structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43964087" target="_blank" >RIV/49777513:23520/22:43964087 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.camwa.2022.01.036" target="_blank" >https://doi.org/10.1016/j.camwa.2022.01.036</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2022.01.036" target="_blank" >10.1016/j.camwa.2022.01.036</a>

Result language
angličtina
Original language name
Homogenization of large deforming fluid-saturated porous structures
Original language description
The two-scale computational homogenization method is proposed for modeling of locally periodic fluid-saturated media subjected to a large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the mesoscopic scale at which a double porous medium constituted by a hyperelastic skeleton and an incompressible viscous fluid is featured by large contrasts in the permeability. Within the Eulerian framework related to the current deformed configuration, the two-scale homogenization approach is applied to a linearized model discretized in time, being associated with an incremental formulation. For this, the equilibrium equation and the mass conservation expressed in the spatial configuration are differentiated using the material derivative with respect to a convection velocity field. The homogenization procedure of the linearized equations provides effective (homogenized) material properties which are computed to constitute the incremental macroscopic problem. The coupled algorithm for the multiscale problem is implemented using the finite element method. Illustrative 2D numerical simulations of a poroelastic medium are presented including a simple validation test.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20302 - Applied mechanics

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)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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