Quantifying the influence of microstructure on effective conductivity and permeability: virtual materials testing

Neumann, Matthias; Stenzel, Ole; Willot, François; Holzer, Lorenz; Schmidt, Volker

doi:10.1016/j.ijsolstr.2019.03.028

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	Quantifying the influence of microstructure on effective conductivity and permeability: virtual materials testing
Authors:	Neumann, Matthias Stenzel, Ole Willot, François Holzer, Lorenz Schmidt, Volker
et. al:	No
DOI:	10.1016/j.ijsolstr.2019.03.028
Published in:	International Journal of Solids and Structures
Volume(Issue):	184
Page(s):	211
Pages to:	220
Issue Date:	2020
Publisher / Ed. Institution:	Elsevier
ISSN:	0020-7683
Language:	English
Subject (DDC):	620.11: Engineering materials
Abstract:	Effective conductivity and permeability of a versatile, graph-based model of random structures are investigated numerically. This model, originally introduced in Gaiselmann et al. (2014) allows one to simulate a wide class of realistic materials. In the present work, an extensive dataset of two-phase microstructures with wide-ranging morphological features is used to assess the relationship between microstructure and effective transport properties, which are computed using Fourier-based methods on digital images. Our main morphological descriptors are phase volume fractions, mean geodesic tortuosity, two “hydraulic radii” for characterizing the length scales of heterogeneities, and a “constrictivity” parameter that describes bottleneck effects. This additional parameter, usually not considered in homogenization theories, is an essential ingredient for predicting transport properties, as observed in Gaiselmann et al. (2014). We modify the formula originally developed in Stenzel et al. (2016) for predicting the effective conductivity and propose a formula for permeability. For the latter one, different geometrical definitions of the hydraulic radius are compared. Our predictions are validated using tomographic image data of fuel cells.
URI:	https://hal.science/hal-02425310v1 https://digitalcollection.zhaw.ch/handle/11475/19419
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Appears in collections:	Publikationen School of Engineering

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Neumann, M., Stenzel, O., Willot, F., Holzer, L., & Schmidt, V. (2020). Quantifying the influence of microstructure on effective conductivity and permeability: virtual materials testing. International Journal of Solids and Structures, 184, 211–220. https://doi.org/10.1016/j.ijsolstr.2019.03.028

Neumann, M. et al. (2020) ‘Quantifying the influence of microstructure on effective conductivity and permeability: virtual materials testing’, International Journal of Solids and Structures, 184, pp. 211–220. Available at: https://doi.org/10.1016/j.ijsolstr.2019.03.028.

M. Neumann, O. Stenzel, F. Willot, L. Holzer, and V. Schmidt, “Quantifying the influence of microstructure on effective conductivity and permeability: virtual materials testing,” International Journal of Solids and Structures, vol. 184, pp. 211–220, 2020, doi: 10.1016/j.ijsolstr.2019.03.028.

NEUMANN, Matthias, Ole STENZEL, François WILLOT, Lorenz HOLZER und Volker SCHMIDT, 2020. Quantifying the influence of microstructure on effective conductivity and permeability: virtual materials testing. International Journal of Solids and Structures [online]. 2020. Bd. 184, S. 211–220. DOI 10.1016/j.ijsolstr.2019.03.028. Verfügbar unter: https://hal.science/hal-02425310v1

Neumann, Matthias, Ole Stenzel, François Willot, Lorenz Holzer, and Volker Schmidt. 2020. “Quantifying the Influence of Microstructure on Effective Conductivity and Permeability: Virtual Materials Testing.” International Journal of Solids and Structures 184: 211–20. https://doi.org/10.1016/j.ijsolstr.2019.03.028.

Neumann, Matthias, et al. “Quantifying the Influence of Microstructure on Effective Conductivity and Permeability: Virtual Materials Testing.” International Journal of Solids and Structures, vol. 184, 2020, pp. 211–20, https://doi.org/10.1016/j.ijsolstr.2019.03.028.