Open AccessFractal corrections of BaTiO3-ceramic sintering parameters
Author(s) -
Vojislav V. Mitić,
Ljubiša Kocić,
Vesna Paunović,
Vladimir B. Pavlović
Publication year - 2014
Publication title -
science of sintering/science of sintering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.309
H-Index - 25
eISSN - 1820-7413
pISSN - 0350-820X
DOI - 10.2298/sos1402149m
Subject(s) - fractal , sintering , fractal dimension , ceramic , materials science , dimensionless quantity , brownian motion , mechanics , particle (ecology) , flow (mathematics) , geometry , classical mechanics , physics , composite material , mathematics , mathematical analysis , geology , oceanography , quantum mechanics
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