TY - JOUR
T1 - Three-dimensional heterogeneous material microstructure reconstruction from limited morphological information via stochastic optimization
AU - Jiao, Yang
N1 - Funding Information:
The author is very grateful to Hechao Li for his help with creating Figure. 5. This work was supported by the Division of Materials Research at National Science Foundation under award No. DMR-1305119. The author also thanks Arizona State University for the generous start-up package.
Publisher Copyright:
© 2014, Yang Jiao.
PY - 2014
Y1 - 2014
N2 - We present a general computational framework that enables one to generate realistic 3D microstructure models of heterogeneous materials from limited morphological information via stochastic optimization. In our framework, the 3D material microstructure is represented as a 3D array, whose entries indicate the local state of that voxel. The limited structural data obtained in various experiments correspond to different mathematical transformations of the 3D array. Reconstructing the 3D material structure from such limited data is formulated as an inverse problem, originally proposed by Yeong and Torquato [Phys. Rev. E 57, 495 (1998)], which is solved using the simulated annealing procedure. The utility, versatility and robustness of our general framework are illustrated by reconstructing a polycrystalline microstructure from 2D EBSD micrographs and a binary metallic alloy from limited angle projections. Our framework can be also applied in the reconstructions based on small-angle x-ray scattering (SAXS) data and has ramifications in 4D materials science (e.g., charactering structural evolution over time).
AB - We present a general computational framework that enables one to generate realistic 3D microstructure models of heterogeneous materials from limited morphological information via stochastic optimization. In our framework, the 3D material microstructure is represented as a 3D array, whose entries indicate the local state of that voxel. The limited structural data obtained in various experiments correspond to different mathematical transformations of the 3D array. Reconstructing the 3D material structure from such limited data is formulated as an inverse problem, originally proposed by Yeong and Torquato [Phys. Rev. E 57, 495 (1998)], which is solved using the simulated annealing procedure. The utility, versatility and robustness of our general framework are illustrated by reconstructing a polycrystalline microstructure from 2D EBSD micrographs and a binary metallic alloy from limited angle projections. Our framework can be also applied in the reconstructions based on small-angle x-ray scattering (SAXS) data and has ramifications in 4D materials science (e.g., charactering structural evolution over time).
KW - 3D microstructure
KW - Heterogeneous materials
KW - Optimization
KW - Reconstruction
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U2 - 10.3934/matersci.2014.1.28
DO - 10.3934/matersci.2014.1.28
M3 - Article
AN - SCOPUS:84995940834
SN - 2372-0484
VL - 1
SP - 28
EP - 40
JO - AIMS Materials Science
JF - AIMS Materials Science
IS - 1
ER -