title: Efficient three-phase reconstruction of heterogeneous material from 2D cross-sections via phase-recovery algorithm.
abstract: Digital reconstruction of a complex heterogeneous media from the limited statistical information, mostly provided by different imaging techniques, is the key to the successful computational analysis of this important class of materials. In this study, a novel approach is presented for three-dimensional (3D) reconstruction of a three-phase microstructure from its statistical information provided by two-dimensional (2D) cross-sections. In this three-step method, first two-point correlation functions (TPCFs) are extracted from the cross-section(s) using a spectral method suitable for the three-phase media. In the next step, 3D TPCFs are approximated for all vectors in a representative volume element (RVE). Finally, the 3D microstructure is realized from the full-set TPCFs obtained in the previous step, using a modified phase-recovery algorithm. The method is generally applicable to any complex three-phase media, here illustrated for an SOFC anode microstructure. The capabilities and shortcomings of the method are then investigated by performing a qualitative comparison between example cross-sections obtained computationally and their experimental equivalents. Finally, it is shown that the method almost conserves key microstructural properties of the media including tortuosity, percolation and three-phase boundary length (TPBL).
authors: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran.
authors: Ali
authors: A
authors: Hasanabadi
authors: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran.
authors: Majid
authors: M
authors: Baniassadi
authors: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran.
authors: Karen
authors: K
authors: Abrinia
authors: Aerospace Engineering Department, University of Illinois, Urbana, Illinois, U.S.A.
authors: Masoud
authors: M
authors: Safdari
authors: School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia, U.S.A.
authors: Hamid
authors: H
authors: Garmestani
keywords: Correlation functions; phase-recovery algorithm; solid oxide fuel cell anode; three-phase boundary length; three-phase reconstruction; tortuosity