Piezoresistivity in PTCR Barium Titanate Ceramics: II, Mathematical Modeling |
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| Authors: | Joseph S Capurso Walter A Schulze |
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| Affiliation: | Transelco Division, Ferro Corporation, Penn Yan, New York 14527;New York State College of Ceramics at Alfred University, Alfred, New York 14802 |
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| Abstract: | A modified grain boundary potential barrier model for positive temperature coefficient of resistance (PTCR) barium titanate is developed. It is based on Heywang's double Schottky barrier model, together with Devonshire's thermodynamic phenomenology of polarization behavior. Modifications are made to address the nonlinearity of the dielectric response with respect to electric field in the depletion region adjacent to the grain boundary, and the circular dependence of these quantities with the height of the barrier. Piezoresistivities are calculated for various PTCR compositions and sintering conditions, and these are compared to experimental results from the preceding paper. |
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