After pioneering attempts for the introduction of graph theory in the field of ceramics and microstructures, where 1D and 2D graphs were used, in this paper we applied 3D graphs for the breakdown voltage calculation in BaTiO3sample with some predefined constraints. We have described the relations between grains in the sample and established a mathematical approach for the calculation of breakdown voltage using experimental results. As a result, we introduced mapping between the property of sample and grain structure, then between the grain structure and mathematical graph, using various crystal structures. The main idea was to apply 3D graph theory for the distribution of electronic parameters between the neighboring grains. With this study, we successfully confirmed the possibilities for applications of graphs as a tool for the determination of properties even at the intergranular level.
Keywords:
3D graphs / grains / intergranular breakdown voltage
Source:
International Journal of Modern Physics B, 2021, 35, 7, 2150103-
TY - JOUR
AU - Mitić, Vojislav V.
AU - Ranđelović, Branislav
AU - Ilić, Ivana
AU - Ribar, Srđan
AU - Chun, An-Lu
AU - Stajčić, Aleksandar
AU - Vlahović, Branislav
PY - 2021
UR - https://cer.ihtm.bg.ac.rs/handle/123456789/4809
UR - https://dais.sanu.ac.rs/123456789/11949
AB - After pioneering attempts for the introduction of graph theory in the field of ceramics and microstructures, where 1D and 2D graphs were used, in this paper we applied 3D graphs for the breakdown voltage calculation in BaTiO3sample with some predefined constraints. We have described the relations between grains in the sample and established a mathematical approach for the calculation of breakdown voltage using experimental results. As a result, we introduced mapping between the property of sample and grain structure, then between the grain structure and mathematical graph, using various crystal structures. The main idea was to apply 3D graph theory for the distribution of electronic parameters between the neighboring grains. With this study, we successfully confirmed the possibilities for applications of graphs as a tool for the determination of properties even at the intergranular level.
PB - World Scientific Publishing Co
T2 - International Journal of Modern Physics B
T1 - The 3D graph approach for breakdown voltage calculation in BaTiO3ceramics
SP - 2150103
VL - 35
IS - 7
DO - 10.1142/S0217979221501034
UR - https://hdl.handle.net/21.15107/rcub_dais_11949
ER -
@article{
author = "Mitić, Vojislav V. and Ranđelović, Branislav and Ilić, Ivana and Ribar, Srđan and Chun, An-Lu and Stajčić, Aleksandar and Vlahović, Branislav",
year = "2021",
abstract = "After pioneering attempts for the introduction of graph theory in the field of ceramics and microstructures, where 1D and 2D graphs were used, in this paper we applied 3D graphs for the breakdown voltage calculation in BaTiO3sample with some predefined constraints. We have described the relations between grains in the sample and established a mathematical approach for the calculation of breakdown voltage using experimental results. As a result, we introduced mapping between the property of sample and grain structure, then between the grain structure and mathematical graph, using various crystal structures. The main idea was to apply 3D graph theory for the distribution of electronic parameters between the neighboring grains. With this study, we successfully confirmed the possibilities for applications of graphs as a tool for the determination of properties even at the intergranular level.",
publisher = "World Scientific Publishing Co",
journal = "International Journal of Modern Physics B",
title = "The 3D graph approach for breakdown voltage calculation in BaTiO3ceramics",
pages = "2150103",
volume = "35",
number = "7",
doi = "10.1142/S0217979221501034",
url = "https://hdl.handle.net/21.15107/rcub_dais_11949"
}
Mitić, V. V., Ranđelović, B., Ilić, I., Ribar, S., Chun, A., Stajčić, A.,& Vlahović, B.. (2021). The 3D graph approach for breakdown voltage calculation in BaTiO3ceramics. in International Journal of Modern Physics B
World Scientific Publishing Co., 35(7), 2150103.
https://doi.org/10.1142/S0217979221501034
https://hdl.handle.net/21.15107/rcub_dais_11949
Mitić VV, Ranđelović B, Ilić I, Ribar S, Chun A, Stajčić A, Vlahović B. The 3D graph approach for breakdown voltage calculation in BaTiO3ceramics. in International Journal of Modern Physics B. 2021;35(7):2150103.
doi:10.1142/S0217979221501034
https://hdl.handle.net/21.15107/rcub_dais_11949 .
Mitić, Vojislav V., Ranđelović, Branislav, Ilić, Ivana, Ribar, Srđan, Chun, An-Lu, Stajčić, Aleksandar, Vlahović, Branislav, "The 3D graph approach for breakdown voltage calculation in BaTiO3ceramics" in International Journal of Modern Physics B, 35, no. 7 (2021):2150103,
https://doi.org/10.1142/S0217979221501034 .,
https://hdl.handle.net/21.15107/rcub_dais_11949 .
