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Fractal corrections of BaTiO3-ceramic sintering parameters

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2014
655.pdf (652.7Kb)
Authors
Mitić, Vojislav V.
Kocić, Ljubiša
Pavlović, Vera P.
Pavlović, Vladimir B.
Article (Published version)
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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 / microstructure
Source:
Science of Sintering, 2014, 46, 2, 149-156
Publisher:
  • Belgrade : International Institute for the Science of Sintering
Projects:
  • Directed synthesis, structure and properties of multifunctional materials (RS-172057)

DOI: 10.2298/SOS1402149M

ISSN: 0350-820X (Print); 1820-7413 (Online)

WoS: 000342407800002

Scopus: 2-s2.0-84919832533
[ Google Scholar ]
6
7
URI
http://dais.sanu.ac.rs/123456789/658
Collections
  • ITN SANU - Opšta kolekcija / ITS SASA - General collection
Institution
Институт техничких наука САНУ / Institute of Technical Sciences of SASA
TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Kocić, Ljubiša
AU  - Pavlović, Vera P.
AU  - Pavlović, Vladimir B.
PY  - 2014
UR  - http://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
ER  - 
@article{
author = "Mitić, Vojislav V. and Kocić, Ljubiša and Pavlović, Vera P. and Pavlović, Vladimir B.",
year = "2014",
url = "http://dais.sanu.ac.rs/123456789/658",
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"
}
Mitić VV, Kocić L, Pavlović VP, Pavlović VB. Fractal corrections of BaTiO3-ceramic sintering parameters. Science of Sintering. 2014;46(2):149-156
Mitić, V. V., Kocić, L., Pavlović, V. P.,& Pavlović, V. B. (2014). Fractal corrections of BaTiO3-ceramic sintering parameters.
Science of SinteringBelgrade : International Institute for the Science of Sintering., 46(2), 149-156. 
https://doi.org/10.2298/SOS1402149M
Mitić Vojislav V., Kocić Ljubiša, Pavlović Vera P., Pavlović Vladimir B., "Fractal corrections of BaTiO3-ceramic sintering parameters" 46, no. 2 (2014):149-156,
https://doi.org/10.2298/SOS1402149M .

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