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Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter

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2017
0350-820X1704469V.pdf (470.2Kb)
Authors
Vosika, Zoran B.
Mitić, Vojislav V.
Lazović, Goran
Kocić, Ljubiša
Article (Published version)
Metadata
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Abstract
In this paper, we develop the new physical-mathematical time scale approach-model applied to BaTiO3-ceramics. At the beginning, a time scale is defined to be an arbitrary closed subset of the real numbers R, with the standard inherited topology. The time scale mathematical examples include real numbers R, natural numbers N, integers Z, the Cantor set (i.e. fractals), and any finite union of closed intervals of R. Calculus on time scales (TSC) was established in 1988 by Stefan Hilger. TSC, by construction, is used to describe the complex process. This method may be utilized for a description of physical, material (crystal growth kinetics, physical chemistry kinetics - for example, kinetics of barium-titanate synthesis), bio-chemical or similar systems and represents a major challenge for nowadays contemporary scientists. Generally speaking, such processes may be described by a discrete time scale. Reasonably it could be assumed that such a “scenario” is possible for discrete temperature... values as a consolidation parameter which is the basic ceramics description properties. In this work, BaTiO3-ceramics discrete temperature as thermodynamics parameter with temperature step h and the basic temperature point a is investigated. Instead of derivations, it is used backward differences with respect to temperature. The main conclusion is made towards ceramics materials temperature as description parameter.

Keywords:
BaTiO3 ceramics / discrete temperature / sintering
Source:
Science of Sintering, 2017, 49, 4, 469-477
Publisher:
  • Belgrade : International Institute for the Science of Sintering

DOI: 10.2298/SOS1704469V

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

WoS: 000429907000011

Scopus: 2-s2.0-85042548269
[ Google Scholar ]
4
3
Handle
https://hdl.handle.net/21.15107/rcub_dais_2362
URI
https://dais.sanu.ac.rs/123456789/2362
Collections
  • ИТН САНУ - Општа колекција / ITS SASA - General collection
Institution/Community
Институт техничких наука САНУ / Institute of Technical Sciences of SASA
TY  - JOUR
AU  - Vosika, Zoran B.
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Kocić, Ljubiša
PY  - 2017
UR  - https://dais.sanu.ac.rs/123456789/2362
AB  - In this paper, we develop the new physical-mathematical time scale approach-model applied to BaTiO3-ceramics. At the beginning, a time scale is defined to be an arbitrary closed subset of the real numbers R, with the standard inherited topology. The time scale mathematical examples include real numbers R, natural numbers N, integers Z, the Cantor set (i.e. fractals), and any finite union of closed intervals of R. Calculus on time scales (TSC) was established in 1988 by Stefan Hilger. TSC, by construction, is used to describe the complex process. This method may be utilized for a description of physical, material (crystal growth kinetics, physical chemistry kinetics - for example, kinetics of barium-titanate synthesis), bio-chemical or similar systems and represents a major challenge for nowadays contemporary scientists. Generally speaking, such processes may be described by a discrete time scale. Reasonably it could be assumed that such a “scenario” is possible for discrete temperature values as a consolidation parameter which is the basic ceramics description properties. In this work, BaTiO3-ceramics discrete temperature as thermodynamics parameter with temperature step h and the basic temperature point a is investigated. Instead of derivations, it is used backward differences with respect to temperature. The main conclusion is made towards ceramics materials temperature as description parameter.
PB  - Belgrade : International Institute for the Science of Sintering
T2  - Science of Sintering
T1  - Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter
SP  - 469
EP  - 477
VL  - 49
IS  - 4
DO  - 10.2298/SOS1704469V
UR  - https://hdl.handle.net/21.15107/rcub_dais_2362
ER  - 
@article{
author = "Vosika, Zoran B. and Mitić, Vojislav V. and Lazović, Goran and Kocić, Ljubiša",
year = "2017",
abstract = "In this paper, we develop the new physical-mathematical time scale approach-model applied to BaTiO3-ceramics. At the beginning, a time scale is defined to be an arbitrary closed subset of the real numbers R, with the standard inherited topology. The time scale mathematical examples include real numbers R, natural numbers N, integers Z, the Cantor set (i.e. fractals), and any finite union of closed intervals of R. Calculus on time scales (TSC) was established in 1988 by Stefan Hilger. TSC, by construction, is used to describe the complex process. This method may be utilized for a description of physical, material (crystal growth kinetics, physical chemistry kinetics - for example, kinetics of barium-titanate synthesis), bio-chemical or similar systems and represents a major challenge for nowadays contemporary scientists. Generally speaking, such processes may be described by a discrete time scale. Reasonably it could be assumed that such a “scenario” is possible for discrete temperature values as a consolidation parameter which is the basic ceramics description properties. In this work, BaTiO3-ceramics discrete temperature as thermodynamics parameter with temperature step h and the basic temperature point a is investigated. Instead of derivations, it is used backward differences with respect to temperature. The main conclusion is made towards ceramics materials temperature as description parameter.",
publisher = "Belgrade : International Institute for the Science of Sintering",
journal = "Science of Sintering",
title = "Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter",
pages = "469-477",
volume = "49",
number = "4",
doi = "10.2298/SOS1704469V",
url = "https://hdl.handle.net/21.15107/rcub_dais_2362"
}
Vosika, Z. B., Mitić, V. V., Lazović, G.,& Kocić, L.. (2017). Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter. in Science of Sintering
Belgrade : International Institute for the Science of Sintering., 49(4), 469-477.
https://doi.org/10.2298/SOS1704469V
https://hdl.handle.net/21.15107/rcub_dais_2362
Vosika ZB, Mitić VV, Lazović G, Kocić L. Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter. in Science of Sintering. 2017;49(4):469-477.
doi:10.2298/SOS1704469V
https://hdl.handle.net/21.15107/rcub_dais_2362 .
Vosika, Zoran B., Mitić, Vojislav V., Lazović, Goran, Kocić, Ljubiša, "Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter" in Science of Sintering, 49, no. 4 (2017):469-477,
https://doi.org/10.2298/SOS1704469V .,
https://hdl.handle.net/21.15107/rcub_dais_2362 .

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