A Mathematical Model to Describe the Densification Process During the Sintering of Ceramic Compacts

Abstract

A mathematical model describing the densification process during viscous sintering process of a ceramic material contains solid inclusions is developed (modified) from the Scherer model which describes the rate of densification during sintering for a free solid inclusions material. The modification is performed by assuming that the unit cell is composed from three types of constituent; the solid inclusions phase, the porous phase and the viscous phase. The solid inclusions phase is assumed to block the propagation of the viscous phase through the cylinders that assumed to be found through the body of the compact. The modified model is used to study the effect of several factors on densification during sintering process and used in predicting the effective viscosity of the viscous phase that formed during sintering.