Fractal corrections of BaTiO3-ceramic sintering parameters
Abstract
Morphology of ceramics grains and pores as well as Brownian character of particle dynamics inside ceramics specimen contributes to better understanding of the sintering process. BaTiO3-ceramics, studied in this paper, has light fractal form and it is emanated in three aspects. First, the surface of grains, even in starting green body as well as distribution of grains shows fractal behavior. Second, existence of pores and their distribution follow the rules of fractal geometry. Third, movement of particles inside viscous flow underlies the rule of Brownian motion, which is essentially a fractal category. These three elements, each in its domain influence sintering dynamics, and can be described by dimensionless quantitative factors, αs αp and αm, being normalized to the interval [0,1]. Following sintering process, the associate formulae of Frenkel, Scherer and Mackenzie-Shuttleworth are shown from the angle of view of ceramics fractal dimension changing that approaches to 3. Also, it is... shown that the energy balance is not violated after applying fractal correction to quasi equilibrium of the energy emanating from surface area reduction ES and energy adopted by viscous flow Ef .[Projekat Ministarstva nauke Republike Srbije, br. 172057: Directed synthesis, structure and properties of multifunctional materials]
Keywords:
barium titanate / BaTiO3 / fractal parameters / sintering / microstructureSource:
Science of Sintering, 2014, 46, 2, 149-156Publisher:
- Belgrade : International Institute for the Science of Sintering
Funding / projects:
DOI: 10.2298/SOS1402149M
ISSN: 0350-820X (Print); 1820-7413 (Online)
WoS: 000342407800002
Scopus: 2-s2.0-84919832533
Institution/Community
Институт техничких наука САНУ / Institute of Technical Sciences of SASATY - JOUR AU - Mitić, Vojislav V. AU - Kocić, Ljubiša AU - Pavlović, Vera P. AU - Pavlović, Vladimir B. PY - 2014 UR - https://dais.sanu.ac.rs/123456789/658 AB - Morphology of ceramics grains and pores as well as Brownian character of particle dynamics inside ceramics specimen contributes to better understanding of the sintering process. BaTiO3-ceramics, studied in this paper, has light fractal form and it is emanated in three aspects. First, the surface of grains, even in starting green body as well as distribution of grains shows fractal behavior. Second, existence of pores and their distribution follow the rules of fractal geometry. Third, movement of particles inside viscous flow underlies the rule of Brownian motion, which is essentially a fractal category. These three elements, each in its domain influence sintering dynamics, and can be described by dimensionless quantitative factors, αs αp and αm, being normalized to the interval [0,1]. Following sintering process, the associate formulae of Frenkel, Scherer and Mackenzie-Shuttleworth are shown from the angle of view of ceramics fractal dimension changing that approaches to 3. Also, it is shown that the energy balance is not violated after applying fractal correction to quasi equilibrium of the energy emanating from surface area reduction ES and energy adopted by viscous flow Ef .[Projekat Ministarstva nauke Republike Srbije, br. 172057: Directed synthesis, structure and properties of multifunctional materials] PB - Belgrade : International Institute for the Science of Sintering T2 - Science of Sintering T1 - Fractal corrections of BaTiO3-ceramic sintering parameters SP - 149 EP - 156 VL - 46 IS - 2 DO - 10.2298/SOS1402149M UR - https://hdl.handle.net/21.15107/rcub_dais_658 ER -
@article{ author = "Mitić, Vojislav V. and Kocić, Ljubiša and Pavlović, Vera P. and Pavlović, Vladimir B.", year = "2014", abstract = "Morphology of ceramics grains and pores as well as Brownian character of particle dynamics inside ceramics specimen contributes to better understanding of the sintering process. BaTiO3-ceramics, studied in this paper, has light fractal form and it is emanated in three aspects. First, the surface of grains, even in starting green body as well as distribution of grains shows fractal behavior. Second, existence of pores and their distribution follow the rules of fractal geometry. Third, movement of particles inside viscous flow underlies the rule of Brownian motion, which is essentially a fractal category. These three elements, each in its domain influence sintering dynamics, and can be described by dimensionless quantitative factors, αs αp and αm, being normalized to the interval [0,1]. Following sintering process, the associate formulae of Frenkel, Scherer and Mackenzie-Shuttleworth are shown from the angle of view of ceramics fractal dimension changing that approaches to 3. Also, it is shown that the energy balance is not violated after applying fractal correction to quasi equilibrium of the energy emanating from surface area reduction ES and energy adopted by viscous flow Ef .[Projekat Ministarstva nauke Republike Srbije, br. 172057: Directed synthesis, structure and properties of multifunctional materials]", publisher = "Belgrade : International Institute for the Science of Sintering", journal = "Science of Sintering", title = "Fractal corrections of BaTiO3-ceramic sintering parameters", pages = "149-156", volume = "46", number = "2", doi = "10.2298/SOS1402149M", url = "https://hdl.handle.net/21.15107/rcub_dais_658" }
Mitić, V. V., Kocić, L., Pavlović, V. P.,& Pavlović, V. B.. (2014). Fractal corrections of BaTiO3-ceramic sintering parameters. in Science of Sintering Belgrade : International Institute for the Science of Sintering., 46(2), 149-156. https://doi.org/10.2298/SOS1402149M https://hdl.handle.net/21.15107/rcub_dais_658
Mitić VV, Kocić L, Pavlović VP, Pavlović VB. Fractal corrections of BaTiO3-ceramic sintering parameters. in Science of Sintering. 2014;46(2):149-156. doi:10.2298/SOS1402149M https://hdl.handle.net/21.15107/rcub_dais_658 .
Mitić, Vojislav V., Kocić, Ljubiša, Pavlović, Vera P., Pavlović, Vladimir B., "Fractal corrections of BaTiO3-ceramic sintering parameters" in Science of Sintering, 46, no. 2 (2014):149-156, https://doi.org/10.2298/SOS1402149M ., https://hdl.handle.net/21.15107/rcub_dais_658 .