Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter
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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 / sinteringSource:
Science of Sintering, 2017, 49, 4, 469-477Publisher:
- 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
Institution/Community
Институт техничких наука САНУ / Institute of Technical Sciences of SASATY - 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 .