Geodesic
Model of porous material sintering
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 3, pp. 133-141

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The mathematical model of inert porous materials sintering was proposed. As an initial data, the model uses the initial distribution of pore surface elements and time-temperature conditions of sintering. Sintering is modelled by the system of kinetic equations describing shrinkage of a material depending on its initial properties and a time-temperature condition of the process. Experiments on aluminum oxide powder sintering have been carried out in several time-temperature conditions in which linear shrinkage was traced in time. The initial powder particles size distribution was previously measured. A value of main parameters used in the model was determined according to the sample linear shrinkage data measured at the 10$^\circ$C/min heating rate. Time dependences of linear shrinkage were calculated for the heating rates of 5 and 15$^\circ $C/min. Comparison of the calculated dependences with experimental data for heating rates 5 and 15$^\circ $С/min has shown the good qualitative and quantitative concordance.
Keywords: sintering; ceramics; mathematical modelling. 
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     title = {Model of porous material sintering},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
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     url = {http://geodesic.mathdoc.fr/item/VYURU_2017_10_3_a10/}
}
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O. V. Shults; V. A. Simonenko; S. P. Drovosekov; P. V. Kapustina; I. A. Belobrova. Model of porous material sintering. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 3, pp. 133-141. http://geodesic.mathdoc.fr/item/VYURU_2017_10_3_a10/