Random dispersion model of two-dimensional size distribution of second-phase particles

J. Takahashi, H. Suito

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


A simulation model of the discrete two-dimensional size distribution (2-DSD) has been proposed based on a probability density function (PDF) of the three-dimensional size distribution (3-DSD) for spherical particles which are randomly dispersed in space. The mono-dispersed system, as well as the exponential, the Rayleigh, the log-normal, and the pseudo-normal distributions are chosen as the PDF of the 3-DSD. The proposed 2-DSD model is applied to the estimation of the mean value and volume fraction of particles with a hypothetical microscopic analysis. The estimated values of the mean value and the area fraction are assessed as a function of the area of the limited field of view and the measured number of sections.

Original languageEnglish
Pages (from-to)711-719
Number of pages9
JournalActa Materialia
Issue number4
Publication statusPublished - 2001 Feb 23

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys

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