March 6-11, 2016
In this work we mathematically model the densification of ceramics under flash sintering using a model based on a system of nonlinear differential equations. Approaches to analyze the system either by numerical solutions or via bifurcation theory are presented. The shown model explains the two main features of flash sintering: A characteristic electrical field threshold dependent on the temperature, and an incubation time to flash sintering.
Joao Gustavo, "A dynamic bifurcation criterion for thermal runaway during the flash sintering of ceramics" in "Electric Field Assisted Sintering and Related Phenomena Far From Equilibrium", Rishi Raj (University of Colorado at Boulder, USA) Thomas Tsakalakos (Rutgers University, USA) Eds, ECI Symposium Series, (2016). http://dc.engconfintl.org/efa_sintering/44