B. Abdallah, F. Willot, and D. Jeulin, Stokes flow through a Boolean model of spheres: representative volume element, Transport in Porous Media, vol.109, issue.3, pp.711-726, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01232510

B. Abdallah, F. Willot, and D. Jeulin, Morphological modelling of three-phase microstructures of anode layers using SEM images, Journal of Microscopy, vol.263, issue.1, pp.51-63, 2016.

R. Adler, . Wiley, C. Sons, F. Ballani, Z. Kabluchko et al., The Geometry of Random Fields, Advances in Applied Probability, vol.44, issue.3, pp.603-616, 1981.

A. Bertei, C. C. Chueh, J. G. Pharoah, and C. Nicolella, Modified collective rearrangement sphereassembly algorithm for random packings of nonspherical particles: Towards engineering applications, Powder Technology, vol.253, pp.311-324, 2014.

C. J. Brabec, M. Heeney, I. Mcculloch, and J. Nelson, Influence of blend microstructure on bulk heterojunction organic photovoltaic performance, Chemical Society Reviews, vol.40, issue.3, pp.1185-1199, 2011.

Q. Cai, C. S. Adjiman, and N. P. Brandon, Modelling the 3D microstructure and performance of solid oxide fuel cell electrodes: Computational parameters, Electrochimica Acta, vol.56, issue.16, pp.5804-5814, 2011.

S. N. Chiu, D. Stoyan, W. S. Kendall, and J. Mecke, Stochastic Geometry and its Applications, 3rd edn, 2013.

C. Hirsch, D. Neuhäuser, and V. Schmidt, Connectivity of random geometric graphs related to minimal spanning forests, Advances in Applied Probability, vol.45, issue.1, pp.20-36, 2013.

L. Holzer, D. Wiedenmann, B. Münch, L. Keller, M. Prestat et al., The influence of constrictivity on the effective transport properties of porous layers in electrolysis and fuel cells, Journal of Materials Science, vol.48, pp.2934-2952, 2013.

L. Holzer, O. Pecho, J. Schumacher, P. Marmet, O. Stenzel et al., Microstructure-property relationships in a gas diffusion layer (GDL) for polymer electrolyte fuel cells, part I: Effect of compression and anisotropy of dry GDL, Electrochimica Acta, vol.227, pp.419-434, 2017.

T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, pp.3647-3679, 2003.

B. Kenney, M. Valdmanis, C. Baker, J. G. Pharoah, and K. Karan, Computation of tpb length, surface area and pore size from numerical reconstruction of composite solid oxide fuel cell electrodes, Journal of Power Sources, vol.189, issue.2, pp.1051-1059, 2009.

D. R. Kirkpatrick and J. D. Radke, A framework for computational morphology, Toussaint GT (ed) Computational Geometry, pp.217-248, 1985.

C. Lantuéjoul, Random Sets and Integral Geometry, Geostatistical Simulation: Models and Algorithms, 1975.

J. Mayer, V. Schmidt, and F. Schweiggert, A unified simulation framework for spatial stochastic models, Simulation Modelling Practice and Theory, vol.12, issue.5, pp.307-326, 2004.

I. Molchanov, Statistics of the Boolean Model for Practitioners and Mathematicians, 1997.

J. Møller and R. P. Waagepetersen, A fast numerical method for computing the linear and non linear mechanical properties of the composites, Comptes Rendus de l'Académie des Sciences Série II, vol.318, pp.1417-1423, 1994.

H. Moussaoui, J. Laurencin, Y. Gavet, G. Delette, M. Hubert et al., Stochastic geometrical modeling of solid oxide cells electrodes validated on 3D reconstructions, Computational Materials Science, vol.143, pp.262-276, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01655845

J. A. Nelder and R. Mead, A simplex method for function minimization, The Computer Journal, vol.7, pp.308-313, 1965.

M. Neumann, J. Stan?k, O. M. Pecho, L. Holzer, V. Bene? et al., Stochastic 3D modeling of complex three-phase microstructures in SOFC-electrodes with completely connected phases, Computational Materials Science, vol.118, pp.353-364, 2016.

M. Neumann, C. Hirsch, J. Stan?k, V. Bene?, and V. Schmidt, Estimation of geodesic tortuosity and constrictivity in stationary random closed sets, Scandinavian Journal of Statistics In print, 2019.

A. Neumann, . Holzer, . Willot, and . Schmidt,

J. Ohser and K. Schladitz, 3D Images of Materials Structures: Processing and Analysis, 2009.

O. M. Pecho, O. Stenzel, P. Gasser, M. Neumann, V. Schmidt et al., 3D microstructure effects in Ni-YSZ anodes: Prediction of effective transport properties and optimization of redox-stability, Materials, vol.8, issue.9, pp.5554-5585, 2015.

B. S. Prakash, S. S. Kumar, and S. T. Aruna, Properties and development of Ni/YSZ as an anode material in solid oxide fuel cell: A review, Renewable and Sustainable Energy Reviews, vol.36, pp.149-179, 2014.

C. Scholz, F. Wirner, M. A. Klatt, D. Hirneise, G. E. Schröder-turk et al., Direct relations between morphology and transport in Boolean models, Physical Review E, vol.92, issue.4, p.43023, 2015.

O. Stenzel, O. M. Pecho, L. Holzer, M. Neumann, and V. Schmidt, Predicting effective conductivities based on geometric microstructure characteristics, AIChE Journal, vol.62, pp.1834-1843, 2016.

O. Stenzel, M. Neumann, O. M. Pecho, L. Holzer, and V. Schmidt, Big data for microstructureproperty relationships: A case study of predicting effective conductivities, AIChE Journal, vol.63, issue.9, pp.4224-4232, 2017.

T. Suzuki, Z. Hasan, Y. Funahashi, T. Yamaguchi, Y. Fujishiro et al., Impact of anode microstructure on solid oxide fuel cells, Science, vol.325, issue.5942, pp.852-855, 2009.

B. Tjaden, D. Brett, and P. R. Shearing, Tortuosity in electrochemical devices: a review of calculation approaches, International Materials Reviews, vol.63, issue.2, pp.47-67, 2018.

S. Torquato, D. Westhoff, J. J. Van-franeker, T. Brereton, D. P. Kroese et al., Stochastic modeling and predictive simulations for the microstructure of organic semiconductor films processed with different spin coating velocities, Random Heterogeneous Materials: Microstructure and Macroscopic Properties, vol.23, p.45003, 2013.

A. Wiegmann, Computation of the permeability of porous materials from their microstructure by, vol.22, 2007.

F. Willot, B. Abdallah, and Y. P. Pellegrini, Fourier-based schemes with modified green operator for computing the electrical response of heterogeneous media with accurate local fields, International Journal of Numerical Methods in Engineering, vol.98, pp.518-533, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00840986