Fractal Corrections of BaTiO3-ceramic Sintering Parameters
Апстракт
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, alpha(S), alpha(P) and alpha(M), 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 approache...s 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 E-S and energy adopted by viscous flow E-f.
Кључне речи:
BaTiO3 / Microstructure / Sintering / Fractal parametersИзвор:
Science of Sintering, 2014, 46, 2, 149-156Издавач:
- Međunarodni Institut za nauku o sinterovanju, Beograd
Финансирање / пројекти:
DOI: 10.2298/SOS1402149M
ISSN: 0350-820X
WoS: 000342407800002
Scopus: 2-s2.0-84919832533
Институција/група
Poljoprivredni fakultetTY - JOUR AU - Mitić, V.V. AU - Kocić, Lj. AU - Paunović, V. AU - Pavlović, Vladimir PY - 2014 UR - http://aspace.agrif.bg.ac.rs/handle/123456789/3463 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, alpha(S), alpha(P) and alpha(M), 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 E-S and energy adopted by viscous flow E-f. PB - Međunarodni Institut za nauku o sinterovanju, Beograd T2 - Science of Sintering T1 - Fractal Corrections of BaTiO3-ceramic Sintering Parameters EP - 156 IS - 2 SP - 149 VL - 46 DO - 10.2298/SOS1402149M ER -
@article{ author = "Mitić, V.V. and Kocić, Lj. and Paunović, V. and Pavlović, Vladimir", 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, alpha(S), alpha(P) and alpha(M), 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 E-S and energy adopted by viscous flow E-f.", publisher = "Međunarodni Institut za nauku o sinterovanju, Beograd", journal = "Science of Sintering", title = "Fractal Corrections of BaTiO3-ceramic Sintering Parameters", pages = "156-149", number = "2", volume = "46", doi = "10.2298/SOS1402149M" }
Mitić, V.V., Kocić, Lj., Paunović, V.,& Pavlović, V.. (2014). Fractal Corrections of BaTiO3-ceramic Sintering Parameters. in Science of Sintering Međunarodni Institut za nauku o sinterovanju, Beograd., 46(2), 149-156. https://doi.org/10.2298/SOS1402149M
Mitić V, Kocić L, Paunović V, Pavlović V. Fractal Corrections of BaTiO3-ceramic Sintering Parameters. in Science of Sintering. 2014;46(2):149-156. doi:10.2298/SOS1402149M .
Mitić, V.V., Kocić, Lj., Paunović, V., Pavlović, Vladimir, "Fractal Corrections of BaTiO3-ceramic Sintering Parameters" in Science of Sintering, 46, no. 2 (2014):149-156, https://doi.org/10.2298/SOS1402149M . .