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Novel application of fractal analysis in refractory composite microsturctural characterization

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Authors
Terzić, Anja
Mitić, Vojislav
Kocić, L.
Radojević, Zagorka
Pašalić, S.
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Abstract
Fractal geometry theory implied in a composite surface topographic analysis as a means of explanation of the structural characteristics has hardly been reported so far. This paper proposes a new method of roughness peaks curvature radii calculation and its application to the refractory composite surface tribological analysis. Fractal geometry method is introduced via calculation of asperity radius, by introducing a fractal concept of curvature radii of surfaces, depending on the observation scale and also numerically depending on horizontal lines intercepted by the investigated profile. The dependence of the calculated radii on the fractal geometry of the studied curves was established and the notion of peak was mathematically formulated. The efficiency of the method was tested by simulations of fractal curves described by Brownian motions. Microstructural investigations were carried out using a scanning electron microscope. The correlation between microstructure and properties of the ...investigated refractory composite, based on fractal geometry and contact surface probability, has been developed. Using the fractals of the contact surfaces of grains, a reconstruction of microstructure configuration, as grain shapes or inter-granular contacts, has been successfully performed. Obtained results indicated that fractal analysis of contact surfaces of different shapes was very important for the prognosis of refractory composite properties and behavior. The morphology of composite grains and surfaces highlighted the validity of developing new structure analytical methods based on different grain shape geometries. The novel approach to the investigation of refractory composite characteristics was successfully conducted, as a result introducing fractal identification as a means of evaluating and predicting material performances.

Source:
Ceramic Engineering and Science Proceedings, 2016, 36, 2, 73-85
Publisher:
  • American Ceramic Society

ISBN: 978-1119211617

ISSN: 0196-6219

Scopus: 2-s2.0-84959574036
[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_rims_302
URI
http://rims.institutims.rs/handle/123456789/302
Collections
  • Radovi istraživača / Researchers' publications
Institution/Community
Institut za ispitivanje materijala
TY  - CONF
AU  - Terzić, Anja
AU  - Mitić, Vojislav
AU  - Kocić, L.
AU  - Radojević, Zagorka
AU  - Pašalić, S.
PY  - 2016
UR  - http://rims.institutims.rs/handle/123456789/302
AB  - Fractal geometry theory implied in a composite surface topographic analysis as a means of explanation of the structural characteristics has hardly been reported so far. This paper proposes a new method of roughness peaks curvature radii calculation and its application to the refractory composite surface tribological analysis. Fractal geometry method is introduced via calculation of asperity radius, by introducing a fractal concept of curvature radii of surfaces, depending on the observation scale and also numerically depending on horizontal lines intercepted by the investigated profile. The dependence of the calculated radii on the fractal geometry of the studied curves was established and the notion of peak was mathematically formulated. The efficiency of the method was tested by simulations of fractal curves described by Brownian motions. Microstructural investigations were carried out using a scanning electron microscope. The correlation between microstructure and properties of the investigated refractory composite, based on fractal geometry and contact surface probability, has been developed. Using the fractals of the contact surfaces of grains, a reconstruction of microstructure configuration, as grain shapes or inter-granular contacts, has been successfully performed. Obtained results indicated that fractal analysis of contact surfaces of different shapes was very important for the prognosis of refractory composite properties and behavior. The morphology of composite grains and surfaces highlighted the validity of developing new structure analytical methods based on different grain shape geometries. The novel approach to the investigation of refractory composite characteristics was successfully conducted, as a result introducing fractal identification as a means of evaluating and predicting material performances.
PB  - American Ceramic Society
C3  - Ceramic Engineering and Science Proceedings
T1  - Novel application of fractal analysis in refractory composite microsturctural characterization
EP  - 85
IS  - 2
SP  - 73
VL  - 36
UR  - https://hdl.handle.net/21.15107/rcub_rims_302
ER  - 
@conference{
author = "Terzić, Anja and Mitić, Vojislav and Kocić, L. and Radojević, Zagorka and Pašalić, S.",
year = "2016",
abstract = "Fractal geometry theory implied in a composite surface topographic analysis as a means of explanation of the structural characteristics has hardly been reported so far. This paper proposes a new method of roughness peaks curvature radii calculation and its application to the refractory composite surface tribological analysis. Fractal geometry method is introduced via calculation of asperity radius, by introducing a fractal concept of curvature radii of surfaces, depending on the observation scale and also numerically depending on horizontal lines intercepted by the investigated profile. The dependence of the calculated radii on the fractal geometry of the studied curves was established and the notion of peak was mathematically formulated. The efficiency of the method was tested by simulations of fractal curves described by Brownian motions. Microstructural investigations were carried out using a scanning electron microscope. The correlation between microstructure and properties of the investigated refractory composite, based on fractal geometry and contact surface probability, has been developed. Using the fractals of the contact surfaces of grains, a reconstruction of microstructure configuration, as grain shapes or inter-granular contacts, has been successfully performed. Obtained results indicated that fractal analysis of contact surfaces of different shapes was very important for the prognosis of refractory composite properties and behavior. The morphology of composite grains and surfaces highlighted the validity of developing new structure analytical methods based on different grain shape geometries. The novel approach to the investigation of refractory composite characteristics was successfully conducted, as a result introducing fractal identification as a means of evaluating and predicting material performances.",
publisher = "American Ceramic Society",
journal = "Ceramic Engineering and Science Proceedings",
title = "Novel application of fractal analysis in refractory composite microsturctural characterization",
pages = "85-73",
number = "2",
volume = "36",
url = "https://hdl.handle.net/21.15107/rcub_rims_302"
}
Terzić, A., Mitić, V., Kocić, L., Radojević, Z.,& Pašalić, S.. (2016). Novel application of fractal analysis in refractory composite microsturctural characterization. in Ceramic Engineering and Science Proceedings
American Ceramic Society., 36(2), 73-85.
https://hdl.handle.net/21.15107/rcub_rims_302
Terzić A, Mitić V, Kocić L, Radojević Z, Pašalić S. Novel application of fractal analysis in refractory composite microsturctural characterization. in Ceramic Engineering and Science Proceedings. 2016;36(2):73-85.
https://hdl.handle.net/21.15107/rcub_rims_302 .
Terzić, Anja, Mitić, Vojislav, Kocić, L., Radojević, Zagorka, Pašalić, S., "Novel application of fractal analysis in refractory composite microsturctural characterization" in Ceramic Engineering and Science Proceedings, 36, no. 2 (2016):73-85,
https://hdl.handle.net/21.15107/rcub_rims_302 .

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