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

Guo, En Yu; Chawla, Nikhilesh; Jing, Tao; Torquato, Salvatore; Jiao, Yang

doi:10.1016/j.matchar.2013.12.011

Cited by 76 publications

(31 citation statements)

References 37 publications

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“…Thus, to provide a fully volumetric information for a digital material representation model, this physically removed space between subsequent 2D images has to be filled. 3D reconstruction algorithms that are based on interpolation techniques can be used in that case [32].…”

Section: 1mentioning

confidence: 99%

Digital/virtual microstructures in application to metals engineering – A review

Madej

2017

Archives of Civil and Mechanical Engineering

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Section: 1mentioning

confidence: 99%

Digital/virtual microstructures in application to metals engineering – A review

Madej

2017

Archives of Civil and Mechanical Engineering

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“…Because defects such as cracks and cavities could not absorb x-rays, the rays penetrated the defects before being received by the x-ray detector, leading to a lighter gray scale, so the defects could be imaged. [36][37][38] A series of 540 images, taken at angular increments of 2/3°, were acquired at a specimen-source distance of 9.5 mm and a specimen-detector distance of 190 mm. The spatial resolution of the Y. Cougar-Feinfocus imaging system was determined by x-ray tube voltage and current, the x-ray magnification, and detection efficiency.…”

Section: Methodsmentioning

confidence: 99%

Three-Dimensional Visualization of the Crack-Growth Behavior of Nano-Silver Joints During Shear Creep

Tan

Chen

et al. 2014

Journal of Elec Materi

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Evolution of creep damage in nano-silver sintered lap shear joints was investigated at 325°C. Non-destructive x-ray three-dimensional (3D) visualization clearly revealed the crack-growth behavior of the joint; this could be divided into three stages. In the initial stage, little development of cracks occurred. In the second stage, cracks propagated at a consistent rate. In the final stage, rapid extension of the cracks led directly to fracture of the joint. Three-dimensional volume-rendered images and fractographic analysis showed that the growth of macroscopic initial cracks at the interfaces dominated the creep fracture process. Initial failure of nano-silver sintered lap shear joints often occurred at interfacial nano-silver paste layers. Both the size and position of the initial interfacial cracks had significant effects on the final creep failure of the joints, and higher stresses led to greater porosity and earlier failure.

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“…This is to be distinguished from the erosion method used in Refs. [41] and [42], in which "erosion" occurs along the direction normal to the surface and thus, preserves the geometrical singularities and particle size distribution in the eroded microstructures.…”

Section: Generating Serial S2 Using Erosion Operationmentioning

confidence: 99%

“…In particular, instead of randomly sampling the microstructure space as in the standard Y-T simulated annealing scheme, our procedure utilizes a series of auxiliary microstructures that mimic a physical structural evolution process (e.g., grain growth). Such auxiliary microstructures are obtained, e.g., by successive isotropic erosion of the original target microstructure [41,42]. For each auxiliary microstructure, the associated S 2 is computed and the reconstruction process proceeds by growing as well as successively evolving the morphology of the target phase according the series of target S 2 s. This also amounts to constructing a series auxiliary energy landscapes, one associated with each S 2 in the series, that bias the convergence of the reconstruction to a favored (local) energy minimum (see Fig.…”

Section: Introductionmentioning

confidence: 99%

“…1). We note that our procedure is different from a recently developed "dilation/erossoin" method [41,42], which transforms topologically complex structures to simpler ones and utilizes appropriate topological descriptors such as C 2 for accurate reconstructions of the original system. Moreover, the dynamic reconstruction procedure can be naturally applied to reconstruct a microstructure evolution process.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic reconstruction of heterogeneous materials and microstructure evolution

Chen

Jiao

2015

Phys. Rev. E

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Reconstructing heterogeneous materials from limited structural information has been a topic that attracts extensive research efforts and still poses many challenges. The Yeong-Torquato procedure is one of the most popular reconstruction techniques, in which the material reconstruction problem based on a set of spatial correlation functions is formulated as a constrained energy minimization (optimization) problem and solved using simulated annealing [Yeong and Torquato, Phys. Rev. E 57, 495 (1998)]. The standard two-point correlation function S2 has been widely used in reconstructions, but can also lead to large structural degeneracy for certain nearly percolating systems. To improve reconstruction accuracy and reduce structural degeneracy, one can successively incorporate additional morphological information (e.g., nonconventional or higher-order correlation functions), which amounts to reshaping the energy landscape to create a deep (local) energy minimum. In this paper, we present a dynamic reconstruction procedure that allows one to use a series of auxiliary S2 to achieve the same level of accuracy as those incorporating additional nonconventional correlation functions. In particular, instead of randomly sampling the microstructure space as in the simulated annealing scheme, our procedure utilizes a series of auxiliary microstructures that mimic a physical structural evolution process (e.g., grain growth). This amounts to constructing a series auxiliary energy landscapes that bias the convergence of the reconstruction to a favored (local) energy minimum. Moreover, our dynamic procedure can be naturally applied to reconstruct an actual microstructure evolution process. In contrast to commonly used evolution reconstruction approaches that separately generate individual static configurations, our procedure continuously evolves a single microstructure according to a time-dependent correlation function. The utility of our procedure is illustrated by successfully reconstructing nearly percolating hard-sphere packings and particle-reinforced composites as well as the coarsening process in a binary metallic alloy.

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

Cited by 76 publications

References 37 publications

Digital/virtual microstructures in application to metals engineering – A review

Digital/virtual microstructures in application to metals engineering – A review

Three-Dimensional Visualization of the Crack-Growth Behavior of Nano-Silver Joints During Shear Creep

Dynamic reconstruction of heterogeneous materials and microstructure evolution

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