Discrete Temperature Values in the Sintering Process as a BaTiO3-ceramics Properties Parameter
Апстракт
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), biochemical 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 va...lues 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.
Кључне речи:
TSC / the Discrete scale of temperature / BaTiO3-ceramicsИзвор:
Science of Sintering, 2017, 49, 4, 469-477Издавач:
- Međunarodni Institut za nauku o sinterovanju, Beograd
DOI: 10.2298/SOS1704469V
ISSN: 0350-820X
WoS: 000429907000011
Scopus: 2-s2.0-85042548269
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Vosika, Zoran B. AU - Mitić, Vojislav V. AU - Lazović, Goran AU - Kocić, Ljubiša PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2547 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), biochemical 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 - Međunarodni Institut za nauku o sinterovanju, Beograd T2 - Science of Sintering T1 - Discrete Temperature Values in the Sintering Process as a BaTiO3-ceramics Properties Parameter EP - 477 IS - 4 SP - 469 VL - 49 DO - 10.2298/SOS1704469V 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), biochemical 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 = "Međunarodni Institut za nauku o sinterovanju, Beograd", journal = "Science of Sintering", title = "Discrete Temperature Values in the Sintering Process as a BaTiO3-ceramics Properties Parameter", pages = "477-469", number = "4", volume = "49", doi = "10.2298/SOS1704469V" }
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 Međunarodni Institut za nauku o sinterovanju, Beograd., 49(4), 469-477. https://doi.org/10.2298/SOS1704469V
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 .
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 . .