Journal of Inudstrial and Applied Mathematics. Vol. 17, No. 1, Pages 176-184, 2022

O. A. Solnyshkina^{a, b}^,*, N. B. Fatkullina^{a, b}^,**, A. Z. Bulatova^{a, b}^,***, V. N. Kireev^{a, b}^,****, A. R. Bilyalov^a^,*****, I. S. Akhatov^a^,******, and V. N. Pavlov^a^,*******

^bCenter for Micro- and Nanoscale Dynamics of Dispersed Systems, Ufa University of Science and Technology, Ufa, 450076 Russia

email: *olgasolnyshkina@gmail.com
email: **nazgulbay@mail.ru
email: ***bulatova29@yandex.ru
email: ****kireev@anrb.ru
email: *****azat.bilyalov@gmail.com
email: ******iskander.akhatov@gmail.com
email: *******rectorat@bashgmu.ru

Abstract— Sintering is a complex physical and mechanical process, which is one of the most important technological processes in powder metallurgy and ceramic industry. In this paper, the study of free sintering of a ceramic object is carried out using the rheological theory of sintering. Numerical solution of the problem in the three-dimensional case is implemented using the Finite Element Method with the freely distributed FreeFem++ software. Experiments on sintering of aluminium oxide ceramic paste were conducted for several temperature regimes. The validation of the realized model is confirmed by comparing the numerical and experimental data of porosity evolution.

Keywords: rheological sintering model, 3D printing, ceramic powder, aluminium oxide, numerical simulation, finite element method

Numerical Approach to Simulation of Geometry Variation during Sintering of Ceramics Based on the Finite Element Method