Stereological analysis of nonspherical particles in solid metal

Tao Li; Shin Ich Shimasaki; Shoji Taniguchi; Kentaro Uesugi; Shunsuke Narita

doi:10.1007/s11663-013-9824-x

Stereological analysis of nonspherical particles in solid metal

Tao Li, Shin Ich Shimasaki, Shoji Taniguchi, Kentaro Uesugi, Shunsuke Narita

Environmental Studies

Research output: Contribution to journal › Article

12 Citations (Scopus)

Abstract

We review in this article the stereological theory of particles and perform stereological analysis of nonspherical TiB₂ particles dispersed in solid aluminum. The two-dimensional (2D) particle size distribution (PSD) obtained from a projected area (PSDP) of TiB₂ powder and the three-dimensional (3D) PSD based on the volume of particles were independently measured by optical microscopy and the electrical sensing zone method, respectively. The results obtained by the two methods were compared by transforming between them, using a fitted fractal dimension for the particles. The probability mass function of the cross-sectional areas (CSAs) of single nonspherical particles was measured by sectioning 3D reconstructions of particles obtained from a series of X-ray micro-CT images. The transformation from 3D PSD to 2D PSD according to the CSA (PSDC) was performed based on the stereological model. The inverse problem for the transformation from the 2D PSDC to 3D PSD is discussed.

Original language	English
Pages (from-to)	750-761
Number of pages	12
Journal	Metallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science
Volume	44
Issue number	3
DOIs	https://doi.org/10.1007/s11663-013-9824-x
Publication status	Published - 2013 Jun 1

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Metals and Alloys
Materials Chemistry

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Li, T., Shimasaki, S. I., Taniguchi, S., Uesugi, K., & Narita, S. (2013). Stereological analysis of nonspherical particles in solid metal. Metallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science, 44(3), 750-761. https://doi.org/10.1007/s11663-013-9824-x

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title = "Stereological analysis of nonspherical particles in solid metal",

abstract = "We review in this article the stereological theory of particles and perform stereological analysis of nonspherical TiB2 particles dispersed in solid aluminum. The two-dimensional (2D) particle size distribution (PSD) obtained from a projected area (PSDP) of TiB2 powder and the three-dimensional (3D) PSD based on the volume of particles were independently measured by optical microscopy and the electrical sensing zone method, respectively. The results obtained by the two methods were compared by transforming between them, using a fitted fractal dimension for the particles. The probability mass function of the cross-sectional areas (CSAs) of single nonspherical particles was measured by sectioning 3D reconstructions of particles obtained from a series of X-ray micro-CT images. The transformation from 3D PSD to 2D PSD according to the CSA (PSDC) was performed based on the stereological model. The inverse problem for the transformation from the 2D PSDC to 3D PSD is discussed.",

author = "Tao Li and Shimasaki, {Shin Ich} and Shoji Taniguchi and Kentaro Uesugi and Shunsuke Narita",

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AU - Li, Tao

AU - Shimasaki, Shin Ich

AU - Taniguchi, Shoji

AU - Uesugi, Kentaro

AU - Narita, Shunsuke

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N2 - We review in this article the stereological theory of particles and perform stereological analysis of nonspherical TiB2 particles dispersed in solid aluminum. The two-dimensional (2D) particle size distribution (PSD) obtained from a projected area (PSDP) of TiB2 powder and the three-dimensional (3D) PSD based on the volume of particles were independently measured by optical microscopy and the electrical sensing zone method, respectively. The results obtained by the two methods were compared by transforming between them, using a fitted fractal dimension for the particles. The probability mass function of the cross-sectional areas (CSAs) of single nonspherical particles was measured by sectioning 3D reconstructions of particles obtained from a series of X-ray micro-CT images. The transformation from 3D PSD to 2D PSD according to the CSA (PSDC) was performed based on the stereological model. The inverse problem for the transformation from the 2D PSDC to 3D PSD is discussed.

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