Modeling of stoichiometric uranium dioxide grain growth during isothermal sintering
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2014), pp. 61-70 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The process of stoichiometric uranium dioxide grain growth during isothermal sintering is considered. A threedimensional $\mathrm{UO}_2$ grain growth model based on physical concepts described in the article was developed. This model allows one to estimate the influence of pores carried by grain boundaries on uranium dioxide grain growth kinetic by taking into account the mass transfer caused by surface diffusion, evaporation, condensation, initial particle size distribution, and its evolution. Analytical equations used in this model allow one to simplify the calculation structure. This simplification reduces the calculation time and provides an ability to solve such practical problems as influence of the processing method on evolution of the average grain size in a pellet. The grain growth model was verified according to available experimental data.
Keywords: uranium dioxide, grain growth, model, average grain size, porosity.
@article{VTGU_2014_1_a5,
     author = {O. A. Bakhteev and A. V. Lysikov and E. N. Mikheev},
     title = {Modeling of stoichiometric uranium dioxide grain growth during isothermal sintering},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {61--70},
     year = {2014},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2014_1_a5/}
}
TY  - JOUR
AU  - O. A. Bakhteev
AU  - A. V. Lysikov
AU  - E. N. Mikheev
TI  - Modeling of stoichiometric uranium dioxide grain growth during isothermal sintering
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2014
SP  - 61
EP  - 70
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VTGU_2014_1_a5/
LA  - ru
ID  - VTGU_2014_1_a5
ER  - 
%0 Journal Article
%A O. A. Bakhteev
%A A. V. Lysikov
%A E. N. Mikheev
%T Modeling of stoichiometric uranium dioxide grain growth during isothermal sintering
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2014
%P 61-70
%N 1
%U http://geodesic.mathdoc.fr/item/VTGU_2014_1_a5/
%G ru
%F VTGU_2014_1_a5
O. A. Bakhteev; A. V. Lysikov; E. N. Mikheev. Modeling of stoichiometric uranium dioxide grain growth during isothermal sintering. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2014), pp. 61-70. http://geodesic.mathdoc.fr/item/VTGU_2014_1_a5/

[1] Beere W., “The sintering and morphology of interconnected porosity in $\mathrm{UO}_2$ powder compacts”, J. Mater. Sci., 8:12 (1973), 1717–1724 | DOI

[2] MacEwan J. R., Hayashi J., “Grain growth in $\mathrm{UO}_2$. III. Some factors influencing equiaxed grain growth”, Proc. st B. Cer. Soc., 1967

[3] Olsen C. S., “$\mathrm{UO}_2$ pore migration and grain growth kinetics”, Transactions of the 5th. Intern. Conf. on Structural Mechanics in Reactor Technology, v. C, 1979, Rep. C1/9

[4] Nichols F. A., “Theory of grain growth in porous compacts”, J. Appl. Phys., 37:13 (1966), 4599–4602 | DOI

[5] Kingery W. D., Francois B., “Grain growth in porous compacts”, J. Amer. Ceram. Soc., 48:10 (1965), 546–547 | DOI

[6] Hsueh C. H., Evans A. G., Coble R. E., “Microstructure development during final/intermediate stage sintering. I. Pore/grain boundary separation”, Acta Metall., 30:7 (1982), 1269–1279 | DOI

[7] Hsueh C. H., Evans A. G., “Microstructure evolution during sintering: the role of evaporation/condensation”, Acta Metall., 31:1 (1983), 189–198 | DOI | MR

[8] Estrin Y., Lucke K., “Theory of vacancy-controlled grain boundary motion”, Acta Metall., 30:5 (1982), 983–998 | DOI

[9] Saetre T. O., “On the theory of normal grain growth in two dimensions”, Acta Materialia, 50 (2002), 1539–1546 | DOI

[10] Hillert M., “On the theory of normal and abnormal grain growth”, Acta Metall., 13:3 (1965), 227–238 | DOI

[11] Bourgeois L., Dehaudt Ph., Lemaignan C., Fredric J. P., “Pore migration in $\mathrm{UO}_2$ and grain growth kinetics”, J. Nucl. Mat., 295 (2001), 73–82 | DOI