Morphological modeling of three-phase microstructures of anode layers using SEM images

Bassam Abdallah (1) , François Willot (1) , Dominique Jeulin (1)

1 CMM - Centre de Morphologie Mathématique

A general method is proposed to model 3D microstructures representative of three-phase anode layers used in fuel cells. The models are based on SEM images of cells with varying morphologies. The materials are first characterized using three morphological measurements: (cross-)covariances, granulometry and linear erosion. They are measured on segmented SEM images, for each of the three phases. Second, a generic model for three-phase materials is proposed. The model is based on two independent underlying random sets which are otherwise arbitrary. The validity of this model is verified using the cross-covariance functions of the various phases. In a third step, several types of Boolean random sets and plurigaussian models are considered for the unknown underlying random sets. Overall, good agreement is found between the SEM images and three-phase models based on plurigaussian random sets, for all morphological measurements considered in the present work: covariances, granulometry and linear erosion. The spatial distribution and shapes of the phases produced by the plurigaussian model are visually very close to the real material. Furthermore, the proposed models require no numerical optimization and are straightforward to generate using the covariance functions measured on the SEM images.

Mots clés: Three-phase random sets; Boolean models; Plurigaussian 3D models; Fuel cells; SOFC

Domaines: Matériaux

Bassam Abdallah, François Willot, Dominique Jeulin. Morphological modeling of three-phase microstructures of anode layers using SEM images. Journal of Microscopy, 2016, 263 (1), pp.51-63. ⟨10.1111/jmi.12374⟩. ⟨hal-01258887⟩