Mathematical modeling of the process of cold sintering of ceramics under pressure

The article is devoted to mathematical modeling of the process of cold sintering under pressure. A theoretical analysis of cold sintering mechanisms is presented. The quantitative description of the cold pressure sintering process is described by a number of accompanying and dynamic phenomena. A mathematical model of cold sintering of ceramics under pressure is proposed, which allows predicting the approach of the process to a local equilibrium that determines the mechanisms of consolidation, grain growth and formation of defects in the structure.