On the Two-Dimensional Shape of Polycrystalline Grains
Takajiro SHIMOHIRA · Journal of the Ceramic Association Japan · 1971
It has well known that the most probale number of sides per polygon in planar random sections of polycrystalline single phase materials lies closer to 5 than to 6.The present note offers a simple mathematical proof of the fact without any special assumption.The formula derive here showed that the mean number of sides of polygonal grains in a section asymptotically approached to 5 when the number of glains increased infinitely. 1 fig., 1 table, 3 refs.