一个通用粉末压制方程及其统计分析验证

A GENERALIZED POWDER COMPACTION EQUATION AND STATISTICAL ANALYSIS ON ITS VALIDITY

在分析现有各种粉末压制方程特征的基础上，提出了一个通用粉末压制微分方程：统计分析结果表明，当ｎ值在０～４之间时，由该方程导出的一系列粉末压制方程的线性相关系数均大于０．９９。将由ｎ＝０导出的方程与Ｂａｌｓｈｉｎ方程、Ｈｅｃｋｅｌ方程及川北公夫方程进行了定量比较，表明该方程不仅具有更高的精度，而且具有更广泛的适用性。

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: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.