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**Harvard**

Sandström, C., Larsson, F. och Runesson, K. (2016) *Homogenization of coupled flow and deformation in a porous material*.

** BibTeX **

@article{

Sandström2016,

author={Sandström, Carl and Larsson, Fredrik and Runesson, Kenneth},

title={Homogenization of coupled flow and deformation in a porous material},

journal={Computer Methods in Applied Mechanics and Engineering},

issn={0045-7825},

volume={308},

pages={535-551},

abstract={In this paper we present a framework for computational homogenization of the fluid-solid interaction that pertains to the coupled deformation and flow of pore fluid in a fluid-saturated porous material. Large deformations are considered and the resulting problem is established in the material setting. In order to ensure a proper FE-mesh in the fluid domain of the RVE, we introduce a fictitious elastic solid in the pores; however, the adopted variational setting ensures that the fictitious material does not obscure the motion of the (physical) solid skeleton. For the subsequent numerical evaluation of the RVE-response, hyperelastic properties are assigned to the solid material, whereas the fluid motion is modeled as incompressible Stokes' flow. Variationally consistent homogenization of the standard first order is adopted. The homogenization is selective in the sense that the resulting macroscale (upscaled) porous media model reminds about the classical one for a quasi-static problem with displacements and pore pressure as the unknown macroscale fields. Hence, the (relative) fluid velocity, i.e. seepage, "lives" only on the subscale and is part of the set of unknown fields in the RVE-problem. As to boundary conditions on the RVE, a mixture of Dirichlet and weakly periodic conditions is adopted. In the numerical examples, special attention is given to an evaluation of the Biot coefficient that occurs in classical phenomenological models for porous media.},

year={2016},

keywords={Porous media, Homogenization, Fluid-structure interaction, Finite strains, Stokes' flow},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 241886

A1 Sandström, Carl

A1 Larsson, Fredrik

A1 Runesson, Kenneth

T1 Homogenization of coupled flow and deformation in a porous material

YR 2016

JF Computer Methods in Applied Mechanics and Engineering

SN 0045-7825

VO 308

SP 535

OP 551

AB In this paper we present a framework for computational homogenization of the fluid-solid interaction that pertains to the coupled deformation and flow of pore fluid in a fluid-saturated porous material. Large deformations are considered and the resulting problem is established in the material setting. In order to ensure a proper FE-mesh in the fluid domain of the RVE, we introduce a fictitious elastic solid in the pores; however, the adopted variational setting ensures that the fictitious material does not obscure the motion of the (physical) solid skeleton. For the subsequent numerical evaluation of the RVE-response, hyperelastic properties are assigned to the solid material, whereas the fluid motion is modeled as incompressible Stokes' flow. Variationally consistent homogenization of the standard first order is adopted. The homogenization is selective in the sense that the resulting macroscale (upscaled) porous media model reminds about the classical one for a quasi-static problem with displacements and pore pressure as the unknown macroscale fields. Hence, the (relative) fluid velocity, i.e. seepage, "lives" only on the subscale and is part of the set of unknown fields in the RVE-problem. As to boundary conditions on the RVE, a mixture of Dirichlet and weakly periodic conditions is adopted. In the numerical examples, special attention is given to an evaluation of the Biot coefficient that occurs in classical phenomenological models for porous media.

LA eng

DO 10.1016/j.cma.2016.05.021

LK http://dx.doi.org/10.1016/j.cma.2016.05.021

OL 30