Article
Version 1
Preserved in Portico This version is not peer-reviewed
Electrothermal Instabilities in Barium Titanate Based Ceramics
Version 1
: Received: 7 March 2024 / Approved: 8 March 2024 / Online: 8 March 2024 (15:28:52 CET)
A peer-reviewed article of this Preprint also exists.
Krikkis, R.N. Electrothermal Instabilities in Barium-Titanate-Based Ceramics. J 2024, 7, 153-168. Krikkis, R.N. Electrothermal Instabilities in Barium-Titanate-Based Ceramics. J 2024, 7, 153-168.
Abstract
An electrothermal analysis for barium titanate based ceramics is presented combining the Heywang–Jonker model for the electric resistivity with a heat dissipation mechanism based on natural convection and radiation in a one dimensional model on the device level with voltage as the control parameter. Both PTC and NTC effects are accounted for through the double Schottky barriers at the grain boundaries of the material. The problem formulated in this way admits uniform and non–uniform multiple steady state solutions that do not depend on the external circuit. The numerical bifurcation analysis reveals that the PTC effect gives rise to several multiplicites above the Curie point, whereas the NTC effect is responsible for the thermal runaway (temperature blowup). The thermal runaway phenomenon as a potential thermal shock could be among the possible reasons for the observed thermomechanical failures (delamination fracture). The theoretical results for the NTC regime and the thermal runaway are in agreement with experimental flash sintering results obtained for 3% and 8% yttria stabilized zirconia.
Keywords
BaTiO3 and titanates; thermistor; Joule heating; nonlocal problem; bifurcation analysis; delamination fracture
Subject
Physical Sciences, Applied Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
