Theoretical formulation and computational aspects of a two-scale homogenization scheme combining the TPM and FE 2 method for poro-elastic fluid-saturated porous media
The focus of this investigation lies on the development of a two-scale homogenization scheme for poro-elastic fluid-saturated porous media. For this purpose, the general concepts of the Theory of Porous Media (TPM) are combined with the FE2 method. After an introduction of the basics of TPM, the weak forms for the macroscopic and the microscopic scale will be formulated and the averaged macroscopic tangent moduli considering the microscale will be derived. Additionally, the formulation of lower level boundary conditions, which refer to the quantities that will be transmitted from the macro- to the microscale, in strict compliance with the Hill--Mandel homogeneity condition, is derived. Finally, a numerical example will be presented, pointing out the gained features of the methodology.
%0 Journal Article
%1 Ricken.2022
%A Ricken, Tim
%A Schröder, Jörg
%A Bluhm, Joachim
%A Maike, Simon
%A Bartel, Florian
%D 2022
%J International Journal of Solids and Structures
%K EXC2075 FOR5151 SPP1158 SPP1886 SPP2311 isdsend:unibiblio pn2
%P 111412
%R 10.1016/j.ijsolstr.2021.111412
%T Theoretical formulation and computational aspects of a two-scale homogenization scheme combining the TPM and FE 2 method for poro-elastic fluid-saturated porous media
%U https://www.sciencedirect.com/science/article/pii/S0020768321004674
%V 241
%X The focus of this investigation lies on the development of a two-scale homogenization scheme for poro-elastic fluid-saturated porous media. For this purpose, the general concepts of the Theory of Porous Media (TPM) are combined with the FE2 method. After an introduction of the basics of TPM, the weak forms for the macroscopic and the microscopic scale will be formulated and the averaged macroscopic tangent moduli considering the microscale will be derived. Additionally, the formulation of lower level boundary conditions, which refer to the quantities that will be transmitted from the macro- to the microscale, in strict compliance with the Hill--Mandel homogeneity condition, is derived. Finally, a numerical example will be presented, pointing out the gained features of the methodology.
@article{Ricken.2022,
abstract = {The focus of this investigation lies on the development of a two-scale homogenization scheme for poro-elastic fluid-saturated porous media. For this purpose, the general concepts of the Theory of Porous Media (TPM) are combined with the FE2 method. After an introduction of the basics of TPM, the weak forms for the macroscopic and the microscopic scale will be formulated and the averaged macroscopic tangent moduli considering the microscale will be derived. Additionally, the formulation of lower level boundary conditions, which refer to the quantities that will be transmitted from the macro- to the microscale, in strict compliance with the Hill--Mandel homogeneity condition, is derived. Finally, a numerical example will be presented, pointing out the gained features of the methodology.},
added-at = {2022-05-11T18:15:15.000+0200},
author = {Ricken, Tim and Schr{\"o}der, J{\"o}rg and Bluhm, Joachim and Maike, Simon and Bartel, Florian},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/24ef52a04b17758fd51a8f12b8ebff9d1/timricken},
doi = {10.1016/j.ijsolstr.2021.111412},
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issn = {0020-7683},
journal = {International Journal of Solids and Structures},
keywords = {EXC2075 FOR5151 SPP1158 SPP1886 SPP2311 isdsend:unibiblio pn2},
pages = 111412,
timestamp = {2022-05-11T16:15:15.000+0200},
title = {Theoretical formulation and computational aspects of a two-scale homogenization scheme combining the TPM and FE 2 method for poro-elastic fluid-saturated porous media},
url = {https://www.sciencedirect.com/science/article/pii/S0020768321004674},
volume = 241,
year = 2022
}