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A dynamic bifurcation criterion for thermal runaway during the flash sintering of ceramics
Publikationstyp
Journal Article
Date Issued
2016-04-01
Sprache
English
Author(s)
TORE-URI
Volume
36
Issue
5
Start Page
1261
End Page
1267
Citation
Journal of the European Ceramic Society 5 (36): 1261-1267 (2016-04-01)
Publisher DOI
Scopus ID
In this paper the densification of ceramics under flash sintering is modelled using an approach based on the heat equation coupled with a apparent activation energy kinetic equation for densification, leading to a system of nonlinear differential equations. Methods to analyse the system either by numerical solutions or via bifurcation theory are presented. Measurements needed to estimate sintering kinetic parameters are executed. The model shown explains the two main features of flash sintering: A characteristic electrical field threshold independent on the temperature, and an incubation time to flash sintering. The results are in agreement with experimental results obtained for Yttria Stabilzed Zirconia and for nanosized BaTiO3. It confirms that the critical condition for the Flash phenomenon is rather the temperature dependent resistivity than the sintering kinetics.