A GENERALIZED POWDER COMPACTION EQUATION AND STATISTICAL ANALYSIS ON ITS VALIDITY

Based on an analysis of the various compaction equations previously proposed, a generalized differential equation for the compection of powders has been proposed,which is expressed as follows:
$\frac{{dD}}{{dp}}=\frac{{K(1-D){D^n}}}{{{p^m}}}$
It has been proven by statistical analysis that the compaction equations derived from the above differential equation with the values of n from 0 to 4 give the correlation coefficients greater than 0.99 in all cases. The results of the quantitative comparison between the compaction equation derived from the value of n taken as zero and the most widely used compaction equations proposed respectively by Balshin, Heckel,and Kawakita have shown that a better quantitative description of the compaction of both metallic and non-metallic powders is given by the compaction equation proposed in the present work.