Fractal dimension of fractals tensor product ferroelectric ceramic materials frontiers
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2018
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BaTiO3-ceramics is a porous material made out of grains and pores. Such a structure is best explained by fractal nature approach. There is a strong porosity influence on microelectronic properties, so a pore itself acts as a microcapacitor with traces of inductivity. A cluster of pores than makes an integral impedance with an equivalent circuit scheme. Fractal nature theory approach helps modeling such microimpedance. The experimental data are acquired using SEM micro-graphs of the selected specimens. Further method is based on fractal analytic procedures based on extraction of fractal dimension and involving this as a key parameter. Such an approach, in combination with methods developed by the authors completes the extensive method for determination of relationship between microelectronic properties of sintered barium-titanate ceramics and technological parameters used in the sintering process. The issue of additives is also considered due the fact that dopants have considerable infl...uence on electronic characteristics. Fractal analyzes and fractal dimension materials characterization are very important as a new tool with in the materials, electronic ceramics, and concretely ferroelectric applications. In this paper we applied fractal Cantor set and also developed fractal curvature tensor product. This enlighten new frontiers in electroceramics materials surface characterization.
Ključne reči:
tensors product / Fractals / ferroelectric-ceramicsIzvor:
Ferroelectrics, 2018, 535, 1, 114-119Izdavač:
- Taylor & Francis Ltd, Abingdon
Finansiranje / projekti:
- Usmerena sinteza, struktura i svojstva multifunkcionalnih materijala (RS-MESTD-Basic Research (BR or ON)-172057)
- Serbian Ministry of Education, Science and Technological Development
DOI: 10.1080/00150193.2018.1474653
ISSN: 0015-0193
WoS: 000461979700014
Scopus: 2-s2.0-85062789056
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Mitić, Vojislav V. AU - Paunović, Vesna AU - Lazović, Goran AU - Kocić, Ljubiša AU - Fecht, Hans PY - 2018 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2806 AB - BaTiO3-ceramics is a porous material made out of grains and pores. Such a structure is best explained by fractal nature approach. There is a strong porosity influence on microelectronic properties, so a pore itself acts as a microcapacitor with traces of inductivity. A cluster of pores than makes an integral impedance with an equivalent circuit scheme. Fractal nature theory approach helps modeling such microimpedance. The experimental data are acquired using SEM micro-graphs of the selected specimens. Further method is based on fractal analytic procedures based on extraction of fractal dimension and involving this as a key parameter. Such an approach, in combination with methods developed by the authors completes the extensive method for determination of relationship between microelectronic properties of sintered barium-titanate ceramics and technological parameters used in the sintering process. The issue of additives is also considered due the fact that dopants have considerable influence on electronic characteristics. Fractal analyzes and fractal dimension materials characterization are very important as a new tool with in the materials, electronic ceramics, and concretely ferroelectric applications. In this paper we applied fractal Cantor set and also developed fractal curvature tensor product. This enlighten new frontiers in electroceramics materials surface characterization. PB - Taylor & Francis Ltd, Abingdon T2 - Ferroelectrics T1 - Fractal dimension of fractals tensor product ferroelectric ceramic materials frontiers EP - 119 IS - 1 SP - 114 VL - 535 DO - 10.1080/00150193.2018.1474653 ER -
@article{ author = "Mitić, Vojislav V. and Paunović, Vesna and Lazović, Goran and Kocić, Ljubiša and Fecht, Hans", year = "2018", abstract = "BaTiO3-ceramics is a porous material made out of grains and pores. Such a structure is best explained by fractal nature approach. There is a strong porosity influence on microelectronic properties, so a pore itself acts as a microcapacitor with traces of inductivity. A cluster of pores than makes an integral impedance with an equivalent circuit scheme. Fractal nature theory approach helps modeling such microimpedance. The experimental data are acquired using SEM micro-graphs of the selected specimens. Further method is based on fractal analytic procedures based on extraction of fractal dimension and involving this as a key parameter. Such an approach, in combination with methods developed by the authors completes the extensive method for determination of relationship between microelectronic properties of sintered barium-titanate ceramics and technological parameters used in the sintering process. The issue of additives is also considered due the fact that dopants have considerable influence on electronic characteristics. Fractal analyzes and fractal dimension materials characterization are very important as a new tool with in the materials, electronic ceramics, and concretely ferroelectric applications. In this paper we applied fractal Cantor set and also developed fractal curvature tensor product. This enlighten new frontiers in electroceramics materials surface characterization.", publisher = "Taylor & Francis Ltd, Abingdon", journal = "Ferroelectrics", title = "Fractal dimension of fractals tensor product ferroelectric ceramic materials frontiers", pages = "119-114", number = "1", volume = "535", doi = "10.1080/00150193.2018.1474653" }
Mitić, V. V., Paunović, V., Lazović, G., Kocić, L.,& Fecht, H.. (2018). Fractal dimension of fractals tensor product ferroelectric ceramic materials frontiers. in Ferroelectrics Taylor & Francis Ltd, Abingdon., 535(1), 114-119. https://doi.org/10.1080/00150193.2018.1474653
Mitić VV, Paunović V, Lazović G, Kocić L, Fecht H. Fractal dimension of fractals tensor product ferroelectric ceramic materials frontiers. in Ferroelectrics. 2018;535(1):114-119. doi:10.1080/00150193.2018.1474653 .
Mitić, Vojislav V., Paunović, Vesna, Lazović, Goran, Kocić, Ljubiša, Fecht, Hans, "Fractal dimension of fractals tensor product ferroelectric ceramic materials frontiers" in Ferroelectrics, 535, no. 1 (2018):114-119, https://doi.org/10.1080/00150193.2018.1474653 . .