Accurate modeling and reconstruction of three-dimensional percolating filamentary microstructures from two-dimensional micrographs via dilation-erosion method

TY - JOUR

T1 - Accurate modeling and reconstruction of three-dimensional percolating filamentary microstructures from two-dimensional micrographs via dilation-erosion method

AU - Guo, En Yu

AU - Chawla, Nikhilesh

AU - Jing, Tao

AU - Torquato, Salvatore

AU - Jiao, Yang

N1 - Funding Information: This work was supported by the Division of Materials Research at National Science Foundation under award No. DMR-1305119 . E. G. and T. J. thank the financial support from the National Science and Technology Major Project of the Ministry of Science and Technology of China , under Project Nos. 2011ZX04014-052 and 2012ZX04012011 . E. G. is also grateful to the Chinese Scholarship Council for financial support during his stay at Arizona State University (USA) and to the Doctoral Fund of Ministry of Education of China , under Grant No. 20130002110012 .

PY - 2014/3

Y1 - 2014/3

N2 - Heterogeneous materials are ubiquitous in nature and synthetic situations and have a wide range of important engineering applications. Accurate modeling and reconstructing three-dimensional (3D) microstructure of topologically complex materials from limited morphological information such as a two-dimensional (2D) micrograph is crucial to the assessment and prediction of effective material properties and performance under extreme conditions. Here, we extend a recently developed dilation-erosion method and employ the Yeong-Torquato stochastic reconstruction procedure to model and generate 3D austenitic-ferritic cast duplex stainless steel microstructure containing percolating filamentary ferrite phase from 2D optical micrographs of the material sample. Specifically, the ferrite phase is dilated to produce a modified target 2D microstructure and the resulting 3D reconstruction is eroded to recover the percolating ferrite filaments. The dilation-erosion reconstruction is compared with the actual 3D microstructure, obtained from serial sectioning (polishing), as well as the standard stochastic reconstructions incorporating topological connectedness information. The fact that the former can achieve the same level of accuracy as the latter suggests that the dilation-erosion procedure is tantamount to incorporating appreciably more topological and geometrical information into the reconstruction while being much more computationally efficient.

AB - Heterogeneous materials are ubiquitous in nature and synthetic situations and have a wide range of important engineering applications. Accurate modeling and reconstructing three-dimensional (3D) microstructure of topologically complex materials from limited morphological information such as a two-dimensional (2D) micrograph is crucial to the assessment and prediction of effective material properties and performance under extreme conditions. Here, we extend a recently developed dilation-erosion method and employ the Yeong-Torquato stochastic reconstruction procedure to model and generate 3D austenitic-ferritic cast duplex stainless steel microstructure containing percolating filamentary ferrite phase from 2D optical micrographs of the material sample. Specifically, the ferrite phase is dilated to produce a modified target 2D microstructure and the resulting 3D reconstruction is eroded to recover the percolating ferrite filaments. The dilation-erosion reconstruction is compared with the actual 3D microstructure, obtained from serial sectioning (polishing), as well as the standard stochastic reconstructions incorporating topological connectedness information. The fact that the former can achieve the same level of accuracy as the latter suggests that the dilation-erosion procedure is tantamount to incorporating appreciably more topological and geometrical information into the reconstruction while being much more computationally efficient.

KW - 3D microstructure reconstruction

KW - Austenitic-ferritic stainless steel

KW - Dilation-erosion

KW - Topologically complex microstructure

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U2 - 10.1016/j.matchar.2013.12.011

DO - 10.1016/j.matchar.2013.12.011

M3 - Article

SN - 1044-5803

VL - 89

SP - 33

EP - 42

JO - Materials Characterization

JF - Materials Characterization

ER -