APPLICATIONS OF HUANG PEIYUN'S DOUBLE LOGARITHMIC EQUATION OF POWDER COMPACTING

In this paper the extended applications of Huang Peiyun’s double logarithmic equation of Powder Compacting are emphatically introduced on the basis of isostatically pressing practice. It is recognized that the equation can be turned into non-logarithmic form by mathematic treatment. Experimental data of 11 kinds of powder isostatically pressed show that the above equation has high accuracy and is practical. Tne equation has been analyzed and is indicalive of a mathematic expression of pressure-green density curve for powder compacting. The slop of this curve is as follows: $${{\rm{D}}_{\rm{c}}}{\rm{ = }}\frac{{{{\rm{D}}_{\rm{m}}}{{\rm{D}}_{\rm{o}}}{{\rm{e}}^{{{(\frac{{\rm{P}}}{{\rm{M}}})}^{\frac{{\rm{1}}}{{\rm{m}}}}}}}}}{{{{\rm{D}}_{\rm{m}}}{\rm{ - }}{{\rm{D}}_{\rm{o}}}{\rm{ + }}{{\rm{D}}_{\rm{o}}}{{\rm{e}}^{{{(\frac{{\rm{P}}}{{\rm{M}}})}^{\frac{{\rm{1}}}{{\rm{m}}}}}}}}}$$ Experimental data of 11 kinds of powder isostatically pressed show that the above equation has high accuracy and is practical. The equation has analyzed and is indicalive of a mathematic expression of pressure-green density curve for powder compacting. The slop of this curve is as follows: $$\frac{{{\rm{d}}{{\rm{D}}_{\rm{c}}}}}{{{\rm{dP}}}}{\rm{ = }}\frac{{{{\rm{D}}_{\rm{m}}}{{\rm{D}}_{\rm{o}}}({{\rm{D}}_{\rm{m}}}{\rm{ - }}{{\rm{D}}_{\rm{o}}}){{\rm{e}}^{{{(\frac{{\rm{P}}}{{\rm{M}}})}^{\frac{{\rm{1}}}{{\rm{m}}}}}}}}}{{{\rm{M}} \cdot {\rm{m}}{{[{{\rm{D}}_{\rm{m}}}{\rm{ - }}{{\rm{D}}_{\rm{o}}}{\rm{ + }}{{\rm{D}}_{\rm{o}}}{{\rm{e}}^{{{(\frac{{\rm{P}}}{{\rm{M}}})}^{\frac{{\rm{1}}}{{\rm{m}}}}}}}]}^{\rm{2}}}{{(\frac{{\rm{P}}}{{\rm{M}}})}^{{\rm{1 - }}\frac{{\rm{1}}}{{\rm{m}}}}}}}$$