Materials Transactions Online

Transactions of the Japan Institute of Metals, Vol. 28 No. 8 (1987) pp.631-643
© 1987 The Japan Institute of Metals

Linear Intercept Length Distribution in a Grain Structure Model with Diameter Distribution of Log-normal Form

Yoshimasa Takayama*, Tatsumi Tozawa*, Hajime Kato*

The linear intercept length distribution has been calculated with a grain structure model based on the assumption that the grain diameter has a log-normal distribution. The grain shapes of the solids adopted are spherical, cubic and tetrakaidecahedral. Results obtained are as follows.
(1) The linear intercept length distribution is not log normal in every model.
(2) The difference from a log-normal form in the linear intercept length distribution depends on the standard deviation of the logarithm of grain diameter, ln σg. The difference tends to decrease with the increment of ln σg. (3) The linear intercept length distribution is influenced by the grain shape.
(4) The calculated results of the linear intercept length distribution in the present model appreciably differ from the experimental results in the actual grain structure. The difference is, however, attributed to the limit of measurability for the linear intercept length in the experiments.

(Received December 9, 1986)

Keywords: grain size, grain size distribution, linear intercept length, linear intercept length distribution, log-normal distribution, grain diameter, grain shape


* Department of Mechanical Engineering, Faculty of Engineering, Utsunomiya University, Utsunomiya 321, Japan.

PDF(Free)PDF (Free) Table of ContentsTable of Contents
© 1987 The Japan Institute of Metals