TY  - JOUR
AU  - Randjelović, Branislav M.
AU  - Mitić, Vojislav V.
AU  - Ribar, Srđan
AU  - Milošević, Dušan M.
AU  - Lazović, Goran
AU  - Fecht, Hans J.
AU  - Vlahović, Branislav
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3773
AB  - Many recently published research papers examine the representation of nanostructures and biomimetic materials, especially using mathematical methods. For this purpose, it is important that the mathematical method is simple and powerful. Theory of fractals, artificial neural networks and graph theory are most commonly used in such papers. These methods are useful tools for applying mathematics in nanostructures, especially given the diversity of the methods, as well as their compatibility and complementarity. The purpose of this paper is to provide an overview of existing results in the field of electrochemical and magnetic nanostructures parameter modeling by applying the three methods that are "easy to use": theory of fractals, artificial neural networks and graph theory. We also give some new conclusions about applicability, advantages and disadvantages in various different circumstances.
PB  - MDPI, Basel
T2  - Fractal and Fractional
T1  - Fractal Nature Bridge between Neural Networks and Graph Theory Approach within Material Structure Characterization
IS  - 3
VL  - 6
DO  - 10.3390/fractalfract6030134
ER  - 

@article{
author = "Randjelović, Branislav M. and Mitić, Vojislav V. and Ribar, Srđan and Milošević, Dušan M. and Lazović, Goran and Fecht, Hans J. and Vlahović, Branislav",
year = "2022",
abstract = "Many recently published research papers examine the representation of nanostructures and biomimetic materials, especially using mathematical methods. For this purpose, it is important that the mathematical method is simple and powerful. Theory of fractals, artificial neural networks and graph theory are most commonly used in such papers. These methods are useful tools for applying mathematics in nanostructures, especially given the diversity of the methods, as well as their compatibility and complementarity. The purpose of this paper is to provide an overview of existing results in the field of electrochemical and magnetic nanostructures parameter modeling by applying the three methods that are "easy to use": theory of fractals, artificial neural networks and graph theory. We also give some new conclusions about applicability, advantages and disadvantages in various different circumstances.",
publisher = "MDPI, Basel",
journal = "Fractal and Fractional",
title = "Fractal Nature Bridge between Neural Networks and Graph Theory Approach within Material Structure Characterization",
number = "3",
volume = "6",
doi = "10.3390/fractalfract6030134"
}

Randjelović, B. M., Mitić, V. V., Ribar, S., Milošević, D. M., Lazović, G., Fecht, H. J.,& Vlahović, B.. (2022). Fractal Nature Bridge between Neural Networks and Graph Theory Approach within Material Structure Characterization. in Fractal and Fractional
MDPI, Basel., 6(3).
https://doi.org/10.3390/fractalfract6030134

Randjelović BM, Mitić VV, Ribar S, Milošević DM, Lazović G, Fecht HJ, Vlahović B. Fractal Nature Bridge between Neural Networks and Graph Theory Approach within Material Structure Characterization. in Fractal and Fractional. 2022;6(3).
doi:10.3390/fractalfract6030134 .

Randjelović, Branislav M., Mitić, Vojislav V., Ribar, Srđan, Milošević, Dušan M., Lazović, Goran, Fecht, Hans J., Vlahović, Branislav, "Fractal Nature Bridge between Neural Networks and Graph Theory Approach within Material Structure Characterization" in Fractal and Fractional, 6, no. 3 (2022),
https://doi.org/10.3390/fractalfract6030134 . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Ribar, Srđan
AU  - Randjelović, Branislav M.
AU  - Lu, Chun-An
AU  - Hwu, Reuben
AU  - Vlahović, Branislav
AU  - Fecht, Hans J.
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3744
AB  - Artificial neural networks application in science and techonology begun during 20th century. This biophysical and biomimetic phenomena is based on extensive research which have led to understanding how neural as a living organism nerve system basic element processes signals by a simple algorithm. The input signals are massively parallel processed, and the output presents the superposition of all parallel processed signals. Artificial neural networks which are based on these principles are useful for solving various problems as pattern recognition, clustering, functional optimization. This research analyzed thermophysical parameters at samples based on Murata powders and consolidated by sintering process. Among different physical properties we applied out neural network approach on grain sizes distribution as a function of sintering temperature, 7: (from 1190-1370 degrees C). In this paper, we continue to apply neural networks to prognose structural and thermophysical parameters. For consolidation sintering process is very important to prognose and design malty parameters but especially thermal like temperature, to avoid long and even wrong experiments which are wasting the time and materials and energy as well. By this artificial neural networks method we indeed provide the most efficient procedure in projecting the mentioned parameters and provide successful ceramics samples production. This is very helpful in prediction and designing the micro-structure parameters important for advance microelectronic further miniaturization development. This is a quite original novelty for real micro-structure projecting especially on the phenomena within the thin films coating around the grains what opens new prospective in advance fractal microelectronics.
PB  - Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
T2  - Thermal Science
T1  - Sintering temperature influence on grains function distribution by neural network application
EP  - 307
IS  - 1
SP  - 299
VL  - 26
DO  - 10.2298/TSCI210420283M
ER  - 

@article{
author = "Mitić, Vojislav V. and Ribar, Srđan and Randjelović, Branislav M. and Lu, Chun-An and Hwu, Reuben and Vlahović, Branislav and Fecht, Hans J.",
year = "2022",
abstract = "Artificial neural networks application in science and techonology begun during 20th century. This biophysical and biomimetic phenomena is based on extensive research which have led to understanding how neural as a living organism nerve system basic element processes signals by a simple algorithm. The input signals are massively parallel processed, and the output presents the superposition of all parallel processed signals. Artificial neural networks which are based on these principles are useful for solving various problems as pattern recognition, clustering, functional optimization. This research analyzed thermophysical parameters at samples based on Murata powders and consolidated by sintering process. Among different physical properties we applied out neural network approach on grain sizes distribution as a function of sintering temperature, 7: (from 1190-1370 degrees C). In this paper, we continue to apply neural networks to prognose structural and thermophysical parameters. For consolidation sintering process is very important to prognose and design malty parameters but especially thermal like temperature, to avoid long and even wrong experiments which are wasting the time and materials and energy as well. By this artificial neural networks method we indeed provide the most efficient procedure in projecting the mentioned parameters and provide successful ceramics samples production. This is very helpful in prediction and designing the micro-structure parameters important for advance microelectronic further miniaturization development. This is a quite original novelty for real micro-structure projecting especially on the phenomena within the thin films coating around the grains what opens new prospective in advance fractal microelectronics.",
publisher = "Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd",
journal = "Thermal Science",
title = "Sintering temperature influence on grains function distribution by neural network application",
pages = "307-299",
number = "1",
volume = "26",
doi = "10.2298/TSCI210420283M"
}

Mitić, V. V., Ribar, S., Randjelović, B. M., Lu, C., Hwu, R., Vlahović, B.,& Fecht, H. J.. (2022). Sintering temperature influence on grains function distribution by neural network application. in Thermal Science
Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd., 26(1), 299-307.
https://doi.org/10.2298/TSCI210420283M

Mitić VV, Ribar S, Randjelović BM, Lu C, Hwu R, Vlahović B, Fecht HJ. Sintering temperature influence on grains function distribution by neural network application. in Thermal Science. 2022;26(1):299-307.
doi:10.2298/TSCI210420283M .

Mitić, Vojislav V., Ribar, Srđan, Randjelović, Branislav M., Lu, Chun-An, Hwu, Reuben, Vlahović, Branislav, Fecht, Hans J., "Sintering temperature influence on grains function distribution by neural network application" in Thermal Science, 26, no. 1 (2022):299-307,
https://doi.org/10.2298/TSCI210420283M . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Randjelović, Branislav M.
AU  - Ribar, Srđan
AU  - Čebela, Maria
AU  - Mohr, Markus
AU  - Vlahović, Branislav
AU  - Fecht, Hans J.
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3743
AB  - The Nanocrystaline diamonds are very important biomedical material with variety of applications. The experimental procedures and results have been done in the Institute of Functional Nanosystems at the University Ulm, Germany. There is an existing biocompatibility of the diamond layers, selectively improved by biomimetic 3-D patterns structuring. Based on that, we have been inspired to apply the graph theory approach in analysing and defining the physical parameters within the structure of materials structure samples. Instead the parameters values, characteristic at the samples surface, we penetrate the graphs deeply in the bulk structure. These values could be only, with some probability, distributed through the micro-structure what defines not enough precious parameters values between the micro-structure constituents, grains and pores. So, we originally applied the graph theory to get defined the physical parameters at the grains and pores levels. This novelty, in our paper, we applied for thermophysical parameters, like thermoconductiviy. By graph approach we open new frontiers in controlling and defining the processes at micro-structure relations. In this way, we can easily predict and design the structure with proposed parameters.
PB  - Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
T2  - Thermal Science
T1  - Thermal parameters defined with graph theory approach in synthetized diamonds
EP  - 2186
IS  - 3
SP  - 2177
VL  - 26
DO  - 10.2298/TSCI210422284M
ER  - 

@article{
author = "Mitić, Vojislav V. and Randjelović, Branislav M. and Ribar, Srđan and Čebela, Maria and Mohr, Markus and Vlahović, Branislav and Fecht, Hans J.",
year = "2022",
abstract = "The Nanocrystaline diamonds are very important biomedical material with variety of applications. The experimental procedures and results have been done in the Institute of Functional Nanosystems at the University Ulm, Germany. There is an existing biocompatibility of the diamond layers, selectively improved by biomimetic 3-D patterns structuring. Based on that, we have been inspired to apply the graph theory approach in analysing and defining the physical parameters within the structure of materials structure samples. Instead the parameters values, characteristic at the samples surface, we penetrate the graphs deeply in the bulk structure. These values could be only, with some probability, distributed through the micro-structure what defines not enough precious parameters values between the micro-structure constituents, grains and pores. So, we originally applied the graph theory to get defined the physical parameters at the grains and pores levels. This novelty, in our paper, we applied for thermophysical parameters, like thermoconductiviy. By graph approach we open new frontiers in controlling and defining the processes at micro-structure relations. In this way, we can easily predict and design the structure with proposed parameters.",
publisher = "Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd",
journal = "Thermal Science",
title = "Thermal parameters defined with graph theory approach in synthetized diamonds",
pages = "2186-2177",
number = "3",
volume = "26",
doi = "10.2298/TSCI210422284M"
}

Mitić, V. V., Randjelović, B. M., Ribar, S., Čebela, M., Mohr, M., Vlahović, B.,& Fecht, H. J.. (2022). Thermal parameters defined with graph theory approach in synthetized diamonds. in Thermal Science
Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd., 26(3), 2177-2186.
https://doi.org/10.2298/TSCI210422284M

Mitić VV, Randjelović BM, Ribar S, Čebela M, Mohr M, Vlahović B, Fecht HJ. Thermal parameters defined with graph theory approach in synthetized diamonds. in Thermal Science. 2022;26(3):2177-2186.
doi:10.2298/TSCI210422284M .

Mitić, Vojislav V., Randjelović, Branislav M., Ribar, Srđan, Čebela, Maria, Mohr, Markus, Vlahović, Branislav, Fecht, Hans J., "Thermal parameters defined with graph theory approach in synthetized diamonds" in Thermal Science, 26, no. 3 (2022):2177-2186,
https://doi.org/10.2298/TSCI210422284M . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Ribar, Srđan
AU  - Randjelović, Branislav M.
AU  - Aleksić, Dejan
AU  - Fecht, Hans
AU  - Vlahović, Branislav
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3791
AB  - The materials' consolidation, especially ceramics, is very important in advanced research development and industrial technologies. Science of sintering with all incoming novelties is the base of all these processes. A very important question in all of this is how to get the more precise structure parameters within the morphology of different ceramic materials. In that sense, the advanced procedure in collecting precise data in submicro-processes is also in direction of advanced miniaturization. Our research, based on different electro-physical parameters, like relative capacitance, breakdown voltage, and tg delta, has been used in neural networks and graph theory successful applications. We extended furthermore our neural network back propagation (BP) on sintering parameters' data. Prognosed mapping we can succeed if we use the coefficients, implemented by the training procedure. In this paper, we continue to apply the novelty from the previous research, where the error is calculated as a difference between the designed and actual network output. So, the weight coefficients contribute in error generation. We used the experimental data of sintered materials' density, measured and calculated in the bulk, and developed possibility to calculate the materials' density inside of consolidated structures. The BP procedure here is like a tool to come down between the layers, with much more precise materials' density, in the points on morphology, which are interesting for different microstructure developments and applications. We practically replaced the errors' network by density values, from ceramic consolidation. Our neural networks' application novelty is successfully applied within the experimental ceramic material density rho = 5.4 x 10(3) [kg/m(3)], confirming the direction way to implement this procedure in other density cases. There are many different mathematical tools or tools from the field of artificial intelligence that can be used in such or similar applications. We choose to use artificial neural networks because of their simplicity and their self-improvement process, through BP error control. All of this contributes to the great improvement in the whole research and science of sintering technology, which is important for collecting more efficient and faster results.
PB  - World Scientific Publ Co Pte Ltd, Singapore
T2  - Modern Physics Letters B
T1  - A new neural network approach to density calculation on ceramic materials
IS  - 02
VL  - 36
DO  - 10.1142/S0217984921505497
ER  - 

@article{
author = "Mitić, Vojislav V. and Ribar, Srđan and Randjelović, Branislav M. and Aleksić, Dejan and Fecht, Hans and Vlahović, Branislav",
year = "2022",
abstract = "The materials' consolidation, especially ceramics, is very important in advanced research development and industrial technologies. Science of sintering with all incoming novelties is the base of all these processes. A very important question in all of this is how to get the more precise structure parameters within the morphology of different ceramic materials. In that sense, the advanced procedure in collecting precise data in submicro-processes is also in direction of advanced miniaturization. Our research, based on different electro-physical parameters, like relative capacitance, breakdown voltage, and tg delta, has been used in neural networks and graph theory successful applications. We extended furthermore our neural network back propagation (BP) on sintering parameters' data. Prognosed mapping we can succeed if we use the coefficients, implemented by the training procedure. In this paper, we continue to apply the novelty from the previous research, where the error is calculated as a difference between the designed and actual network output. So, the weight coefficients contribute in error generation. We used the experimental data of sintered materials' density, measured and calculated in the bulk, and developed possibility to calculate the materials' density inside of consolidated structures. The BP procedure here is like a tool to come down between the layers, with much more precise materials' density, in the points on morphology, which are interesting for different microstructure developments and applications. We practically replaced the errors' network by density values, from ceramic consolidation. Our neural networks' application novelty is successfully applied within the experimental ceramic material density rho = 5.4 x 10(3) [kg/m(3)], confirming the direction way to implement this procedure in other density cases. There are many different mathematical tools or tools from the field of artificial intelligence that can be used in such or similar applications. We choose to use artificial neural networks because of their simplicity and their self-improvement process, through BP error control. All of this contributes to the great improvement in the whole research and science of sintering technology, which is important for collecting more efficient and faster results.",
publisher = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "Modern Physics Letters B",
title = "A new neural network approach to density calculation on ceramic materials",
number = "02",
volume = "36",
doi = "10.1142/S0217984921505497"
}

Mitić, V. V., Ribar, S., Randjelović, B. M., Aleksić, D., Fecht, H.,& Vlahović, B.. (2022). A new neural network approach to density calculation on ceramic materials. in Modern Physics Letters B
World Scientific Publ Co Pte Ltd, Singapore., 36(02).
https://doi.org/10.1142/S0217984921505497

Mitić VV, Ribar S, Randjelović BM, Aleksić D, Fecht H, Vlahović B. A new neural network approach to density calculation on ceramic materials. in Modern Physics Letters B. 2022;36(02).
doi:10.1142/S0217984921505497 .

Mitić, Vojislav V., Ribar, Srđan, Randjelović, Branislav M., Aleksić, Dejan, Fecht, Hans, Vlahović, Branislav, "A new neural network approach to density calculation on ceramic materials" in Modern Physics Letters B, 36, no. 02 (2022),
https://doi.org/10.1142/S0217984921505497 . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Randjelović, Branislav M.
AU  - Paunović, Vesna
AU  - Radović, Ivana
AU  - Stajcić, Aleksandar
AU  - Vlahović, Branislav
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3550
AB  - The focus of this study is on the control of layers between grains by applying graph theory. We performed modification of BaTiO3 nanoparticles with Y2O3. The results of capacitance change on submicron level are the part of the measured values on the bulk samples. The original idea is to develop the new approach to use graph theory for networking of electronic parameters between the neighboring grains in order to compare the values measured on the sample, and to present them through the edges in graph between corresponding vertices. Capacitance change with DC bias was measured on bulk samples, and the modified nanoparticles showed stability up to 90 V. After using graph theory with the different number of neighboring grains and on different voltages, it has been shown that capacitance change can be successfully calculated on the layers between grains. Original calculations presented as 1D cases were performed, confirming graph application as a tool with which measured bulk results can be downsized to an appropriate intergranular level, opening the new perspectives in the area of miniaturization and micropackaging.
PB  - Taylor & Francis Ltd, Abingdon
T2  - Ferroelectrics
T1  - Graph theory applied to microelectronics intergranular relations
EP  - 152
IS  - 1
SP  - 145
VL  - 570
DO  - 10.1080/00150193.2020.1839265
ER  - 

@article{
author = "Mitić, Vojislav V. and Lazović, Goran and Randjelović, Branislav M. and Paunović, Vesna and Radović, Ivana and Stajcić, Aleksandar and Vlahović, Branislav",
year = "2021",
abstract = "The focus of this study is on the control of layers between grains by applying graph theory. We performed modification of BaTiO3 nanoparticles with Y2O3. The results of capacitance change on submicron level are the part of the measured values on the bulk samples. The original idea is to develop the new approach to use graph theory for networking of electronic parameters between the neighboring grains in order to compare the values measured on the sample, and to present them through the edges in graph between corresponding vertices. Capacitance change with DC bias was measured on bulk samples, and the modified nanoparticles showed stability up to 90 V. After using graph theory with the different number of neighboring grains and on different voltages, it has been shown that capacitance change can be successfully calculated on the layers between grains. Original calculations presented as 1D cases were performed, confirming graph application as a tool with which measured bulk results can be downsized to an appropriate intergranular level, opening the new perspectives in the area of miniaturization and micropackaging.",
publisher = "Taylor & Francis Ltd, Abingdon",
journal = "Ferroelectrics",
title = "Graph theory applied to microelectronics intergranular relations",
pages = "152-145",
number = "1",
volume = "570",
doi = "10.1080/00150193.2020.1839265"
}

Mitić, V. V., Lazović, G., Randjelović, B. M., Paunović, V., Radović, I., Stajcić, A.,& Vlahović, B.. (2021). Graph theory applied to microelectronics intergranular relations. in Ferroelectrics
Taylor & Francis Ltd, Abingdon., 570(1), 145-152.
https://doi.org/10.1080/00150193.2020.1839265

Mitić VV, Lazović G, Randjelović BM, Paunović V, Radović I, Stajcić A, Vlahović B. Graph theory applied to microelectronics intergranular relations. in Ferroelectrics. 2021;570(1):145-152.
doi:10.1080/00150193.2020.1839265 .

Mitić, Vojislav V., Lazović, Goran, Randjelović, Branislav M., Paunović, Vesna, Radović, Ivana, Stajcić, Aleksandar, Vlahović, Branislav, "Graph theory applied to microelectronics intergranular relations" in Ferroelectrics, 570, no. 1 (2021):145-152,
https://doi.org/10.1080/00150193.2020.1839265 . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Randjelović, Branislav M.
AU  - Ilić, Ivana
AU  - Ribar, Srđan
AU  - Chun, An-Lu
AU  - Stajcić, Aleksandar
AU  - Vlahović, Branislav
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3592
AB  - After pioneering attempts for the introduction of graph theory in the field of ceramics and microstructures, where 1D and 2D graphs were used, in this paper we applied 3D graphs for the breakdown voltage calculation in BaTiO3 sample with some predefined constraints. We have described the relations between grains in the sample and established a mathematical approach for the calculation of breakdown voltage using experimental results. As a result, we introduced mapping between the property of sample and grain structure, then between the grain structure and mathematical graph, using various crystal structures. The main idea was to apply 3D graph theory for the distribution of electronic parameters between the neighboring grains. With this study, we successfully confirmed the possibilities for applications of graphs as a tool for the determination of properties even at the intergranular level.
PB  - World Scientific Publ Co Pte Ltd, Singapore
T2  - International Journal of Modern Physics B
T1  - The 3D graph approach for breakdown voltage calculation in BaTiO3 ceramics
IS  - 07
VL  - 35
DO  - 10.1142/S0217979221501034
ER  - 

@article{
author = "Mitić, Vojislav V. and Randjelović, Branislav M. and Ilić, Ivana and Ribar, Srđan and Chun, An-Lu and Stajcić, Aleksandar and Vlahović, Branislav",
year = "2021",
abstract = "After pioneering attempts for the introduction of graph theory in the field of ceramics and microstructures, where 1D and 2D graphs were used, in this paper we applied 3D graphs for the breakdown voltage calculation in BaTiO3 sample with some predefined constraints. We have described the relations between grains in the sample and established a mathematical approach for the calculation of breakdown voltage using experimental results. As a result, we introduced mapping between the property of sample and grain structure, then between the grain structure and mathematical graph, using various crystal structures. The main idea was to apply 3D graph theory for the distribution of electronic parameters between the neighboring grains. With this study, we successfully confirmed the possibilities for applications of graphs as a tool for the determination of properties even at the intergranular level.",
publisher = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "International Journal of Modern Physics B",
title = "The 3D graph approach for breakdown voltage calculation in BaTiO3 ceramics",
number = "07",
volume = "35",
doi = "10.1142/S0217979221501034"
}

Mitić, V. V., Randjelović, B. M., Ilić, I., Ribar, S., Chun, A., Stajcić, A.,& Vlahović, B.. (2021). The 3D graph approach for breakdown voltage calculation in BaTiO3 ceramics. in International Journal of Modern Physics B
World Scientific Publ Co Pte Ltd, Singapore., 35(07).
https://doi.org/10.1142/S0217979221501034

Mitić VV, Randjelović BM, Ilić I, Ribar S, Chun A, Stajcić A, Vlahović B. The 3D graph approach for breakdown voltage calculation in BaTiO3 ceramics. in International Journal of Modern Physics B. 2021;35(07).
doi:10.1142/S0217979221501034 .

Mitić, Vojislav V., Randjelović, Branislav M., Ilić, Ivana, Ribar, Srđan, Chun, An-Lu, Stajcić, Aleksandar, Vlahović, Branislav, "The 3D graph approach for breakdown voltage calculation in BaTiO3 ceramics" in International Journal of Modern Physics B, 35, no. 07 (2021),
https://doi.org/10.1142/S0217979221501034 . .

TY  - JOUR
AU  - Randjelović, Branislav M.
AU  - Mitić, Vojislav V.
AU  - Ribar, Srđan
AU  - Lu, Chun-An
AU  - Radović, Ivana
AU  - Stajcić, Aleksandar
AU  - Novaković, Igor
AU  - Vlahović, Branislav
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3339
AB  - This research is focused on further developing of application and use of graph theory in order to describe relations between grains and to establish control over layers. We used functionalized BaTiO3 nanoparticles coated with Yttrium-based salt. The capacitance change results on super-microstructure levels are the part of the measured values on the bulk samples. The new idea is graph theory application for determination of electronic parameters distribution at the grain boundary and to compare them with the bulk measured values. We present them with vertices in graph, corresponding with grains, connected with edges. Capacitance change with applied voltage was measured on samples sintered in air and nitrogen, up to 100 V. Using graph theory, it has been shown that capacitance change can be successfully calculated on the layers between grains. Within the idea how to get parameters values at microlevel between the grains and pores, mathematical tool can be developed. Besides previously described 1D case, some original calculations for 2D cases were performed in this study, proving successful graph theory use for the calculation of values at nanolevel, leading to a further minituarization in micropackaging.
PB  - World Scientific Publ Co Pte Ltd, Singapore
T2  - Modern Physics Letters B
T1  - Ceramics, materials, microelectronics and graph theory new frontiers
IS  - 34
VL  - 34
DO  - 10.1142/S0217984921501591
ER  - 

@article{
author = "Randjelović, Branislav M. and Mitić, Vojislav V. and Ribar, Srđan and Lu, Chun-An and Radović, Ivana and Stajcić, Aleksandar and Novaković, Igor and Vlahović, Branislav",
year = "2020",
abstract = "This research is focused on further developing of application and use of graph theory in order to describe relations between grains and to establish control over layers. We used functionalized BaTiO3 nanoparticles coated with Yttrium-based salt. The capacitance change results on super-microstructure levels are the part of the measured values on the bulk samples. The new idea is graph theory application for determination of electronic parameters distribution at the grain boundary and to compare them with the bulk measured values. We present them with vertices in graph, corresponding with grains, connected with edges. Capacitance change with applied voltage was measured on samples sintered in air and nitrogen, up to 100 V. Using graph theory, it has been shown that capacitance change can be successfully calculated on the layers between grains. Within the idea how to get parameters values at microlevel between the grains and pores, mathematical tool can be developed. Besides previously described 1D case, some original calculations for 2D cases were performed in this study, proving successful graph theory use for the calculation of values at nanolevel, leading to a further minituarization in micropackaging.",
publisher = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "Modern Physics Letters B",
title = "Ceramics, materials, microelectronics and graph theory new frontiers",
number = "34",
volume = "34",
doi = "10.1142/S0217984921501591"
}

Randjelović, B. M., Mitić, V. V., Ribar, S., Lu, C., Radović, I., Stajcić, A., Novaković, I.,& Vlahović, B.. (2020). Ceramics, materials, microelectronics and graph theory new frontiers. in Modern Physics Letters B
World Scientific Publ Co Pte Ltd, Singapore., 34(34).
https://doi.org/10.1142/S0217984921501591

Randjelović BM, Mitić VV, Ribar S, Lu C, Radović I, Stajcić A, Novaković I, Vlahović B. Ceramics, materials, microelectronics and graph theory new frontiers. in Modern Physics Letters B. 2020;34(34).
doi:10.1142/S0217984921501591 .

Randjelović, Branislav M., Mitić, Vojislav V., Ribar, Srđan, Lu, Chun-An, Radović, Ivana, Stajcić, Aleksandar, Novaković, Igor, Vlahović, Branislav, "Ceramics, materials, microelectronics and graph theory new frontiers" in Modern Physics Letters B, 34, no. 34 (2020),
https://doi.org/10.1142/S0217984921501591 . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Ribar, Srđan
AU  - Randjelović, Branislav M.
AU  - Lu, Chun-An
AU  - Radović, Ivana
AU  - Stajcić, Aleksandar
AU  - Novaković, Igor
AU  - Vlahović, Branislav
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3351
AB  - This research is based on the idea to design the interface structure around the grains and thin layers between two grains, as a possible solution for deep microelectronic parameters integrations. The experiments have been based on nano-BaTiO3 powders with Y-based additive. The advanced idea is to create the new observed directions to network microelectronic characteristics in thin films coated around and between the grains on the way to get and compare with global results on the samples. Biomimetic similarities are artificial neural networks which could be original method and tools that we use to map input-output data and could be applied on ceramics microelectronic parameters. This mapping is developed in the manner like signals that are processed in real biological neural networks. These signals are processed by using artificial neurons, which have a simple function to process input signal, as well as adjustable parameter which represents sensitivity to inputs. The integrated network output presents practically the large number of inner neurons outputs sum. This original idea is to connect analysis results and neural networks. It is of the great importance to connect microcapacitances by neural network with the goal to compare the experimental results in the bulk samples measurements and microelectronics parameters. The result of these researches is the study of functional relation definition between consolidation parameters, voltage (U), consolidation sintering temperature and relative capacitance change, from the bulk sample surface down to the coating thin films around the grains.
PB  - World Scientific Publ Co Pte Ltd, Singapore
T2  - Modern Physics Letters B
T1  - Neural networks and microelectronics parameters distribution measurements depending on sintering temperature and applied voltage
IS  - 35
VL  - 34
DO  - 10.1142/S0217984921501724
ER  - 

@article{
author = "Mitić, Vojislav V. and Ribar, Srđan and Randjelović, Branislav M. and Lu, Chun-An and Radović, Ivana and Stajcić, Aleksandar and Novaković, Igor and Vlahović, Branislav",
year = "2020",
abstract = "This research is based on the idea to design the interface structure around the grains and thin layers between two grains, as a possible solution for deep microelectronic parameters integrations. The experiments have been based on nano-BaTiO3 powders with Y-based additive. The advanced idea is to create the new observed directions to network microelectronic characteristics in thin films coated around and between the grains on the way to get and compare with global results on the samples. Biomimetic similarities are artificial neural networks which could be original method and tools that we use to map input-output data and could be applied on ceramics microelectronic parameters. This mapping is developed in the manner like signals that are processed in real biological neural networks. These signals are processed by using artificial neurons, which have a simple function to process input signal, as well as adjustable parameter which represents sensitivity to inputs. The integrated network output presents practically the large number of inner neurons outputs sum. This original idea is to connect analysis results and neural networks. It is of the great importance to connect microcapacitances by neural network with the goal to compare the experimental results in the bulk samples measurements and microelectronics parameters. The result of these researches is the study of functional relation definition between consolidation parameters, voltage (U), consolidation sintering temperature and relative capacitance change, from the bulk sample surface down to the coating thin films around the grains.",
publisher = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "Modern Physics Letters B",
title = "Neural networks and microelectronics parameters distribution measurements depending on sintering temperature and applied voltage",
number = "35",
volume = "34",
doi = "10.1142/S0217984921501724"
}

Mitić, V. V., Ribar, S., Randjelović, B. M., Lu, C., Radović, I., Stajcić, A., Novaković, I.,& Vlahović, B.. (2020). Neural networks and microelectronics parameters distribution measurements depending on sintering temperature and applied voltage. in Modern Physics Letters B
World Scientific Publ Co Pte Ltd, Singapore., 34(35).
https://doi.org/10.1142/S0217984921501724

Mitić VV, Ribar S, Randjelović BM, Lu C, Radović I, Stajcić A, Novaković I, Vlahović B. Neural networks and microelectronics parameters distribution measurements depending on sintering temperature and applied voltage. in Modern Physics Letters B. 2020;34(35).
doi:10.1142/S0217984921501724 .

Mitić, Vojislav V., Ribar, Srđan, Randjelović, Branislav M., Lu, Chun-An, Radović, Ivana, Stajcić, Aleksandar, Novaković, Igor, Vlahović, Branislav, "Neural networks and microelectronics parameters distribution measurements depending on sintering temperature and applied voltage" in Modern Physics Letters B, 34, no. 35 (2020),
https://doi.org/10.1142/S0217984921501724 . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Paunović, Vesna
AU  - Cvetković, Nenad
AU  - Jovanović, Dejan
AU  - Veljković, Sandra
AU  - Randjelović, Branislav M.
AU  - Vlahović, Branislav
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3944
AB  - The world's perennial need for energy and microelectronic miniaturization brings with it a broad set of technological and scientific challenges. Materials characterized by precise microstructural architectures based on fractal analysis and ranging in size down to nano scale represent an important avenue for finding novel solutions. Deep materials structure hierarchies of this type open new possibilities in capacity according to the Heywang model, especially when extended by a fractals approach and intergranular relationships supported and recognized by their fractal nature. These developments are opening new frontiers in microelectronics miniaturization. They build on early fractal applications that were used as tools in miniaturization research and also provided application perspectives for diverse energy technologies. In other words, fractals, as a crucial concept of modem theoretical-experimental physics and materials sciences, are tightly linked to higher integration processes and microelectronics miniaturization. They also hold potential for meeting the energy exploitation challenge. In this research context, for the first time we experimentally and theoretically investigated the electrostatic field between the grains within fractal nature aspects. It is essentially a theoretical experiment based on samples of experimental microstructures imaged with SEM, as previously published in a number of other papers. We now take the research a step further by consolidating the experimental samples with respect to the predicted distribution of grains and pores within the sample mass. We make an original contribution by opening the frame of scale sizes with respect to the technical processes of consolidation. This lets us predict the constitutive elements of the microstructures - approximately equidistant grains and pores. In this paper we define in a practical manner the final target elements for experimental consolidation of real samples. It is the main bridge between a designed microstructure and related characteristics - for example, fractal dimensions and final properties of next-generation fractal microelectronics.
PB  - Elsevier Sci Ltd, Oxford
T2  - Ceramics International
T1  - Fractal frontiers in microelectronic ceramic materials
EP  - 9685
IS  - 7
SP  - 9679
VL  - 45
DO  - 10.1016/j.ceramint.2019.01.020
ER  - 

@article{
author = "Mitić, Vojislav V. and Lazović, Goran and Paunović, Vesna and Cvetković, Nenad and Jovanović, Dejan and Veljković, Sandra and Randjelović, Branislav M. and Vlahović, Branislav",
year = "2019",
abstract = "The world's perennial need for energy and microelectronic miniaturization brings with it a broad set of technological and scientific challenges. Materials characterized by precise microstructural architectures based on fractal analysis and ranging in size down to nano scale represent an important avenue for finding novel solutions. Deep materials structure hierarchies of this type open new possibilities in capacity according to the Heywang model, especially when extended by a fractals approach and intergranular relationships supported and recognized by their fractal nature. These developments are opening new frontiers in microelectronics miniaturization. They build on early fractal applications that were used as tools in miniaturization research and also provided application perspectives for diverse energy technologies. In other words, fractals, as a crucial concept of modem theoretical-experimental physics and materials sciences, are tightly linked to higher integration processes and microelectronics miniaturization. They also hold potential for meeting the energy exploitation challenge. In this research context, for the first time we experimentally and theoretically investigated the electrostatic field between the grains within fractal nature aspects. It is essentially a theoretical experiment based on samples of experimental microstructures imaged with SEM, as previously published in a number of other papers. We now take the research a step further by consolidating the experimental samples with respect to the predicted distribution of grains and pores within the sample mass. We make an original contribution by opening the frame of scale sizes with respect to the technical processes of consolidation. This lets us predict the constitutive elements of the microstructures - approximately equidistant grains and pores. In this paper we define in a practical manner the final target elements for experimental consolidation of real samples. It is the main bridge between a designed microstructure and related characteristics - for example, fractal dimensions and final properties of next-generation fractal microelectronics.",
publisher = "Elsevier Sci Ltd, Oxford",
journal = "Ceramics International",
title = "Fractal frontiers in microelectronic ceramic materials",
pages = "9685-9679",
number = "7",
volume = "45",
doi = "10.1016/j.ceramint.2019.01.020"
}

Mitić, V. V., Lazović, G., Paunović, V., Cvetković, N., Jovanović, D., Veljković, S., Randjelović, B. M.,& Vlahović, B.. (2019). Fractal frontiers in microelectronic ceramic materials. in Ceramics International
Elsevier Sci Ltd, Oxford., 45(7), 9679-9685.
https://doi.org/10.1016/j.ceramint.2019.01.020

Mitić VV, Lazović G, Paunović V, Cvetković N, Jovanović D, Veljković S, Randjelović BM, Vlahović B. Fractal frontiers in microelectronic ceramic materials. in Ceramics International. 2019;45(7):9679-9685.
doi:10.1016/j.ceramint.2019.01.020 .

Mitić, Vojislav V., Lazović, Goran, Paunović, Vesna, Cvetković, Nenad, Jovanović, Dejan, Veljković, Sandra, Randjelović, Branislav M., Vlahović, Branislav, "Fractal frontiers in microelectronic ceramic materials" in Ceramics International, 45, no. 7 (2019):9679-9685,
https://doi.org/10.1016/j.ceramint.2019.01.020 . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Paunović, Vesna
AU  - Veljković, Sandra
AU  - Randjelović, Branislav M.
AU  - Vlahović, Branislav
AU  - Fecht, Hans
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3136
AB  - Consolidation parameters have influence and can be used to control structure of BaTiO3 based materials. Microstructure and dielectric properties of Yb2O3 doped BaTiO3-ceramics, sintered from 1320 degrees C to 1380 degrees C have been investigated. The correlation between microstructure, capacity and dielectric properties of doped BaTiO3-ceramics, based on fractal geometry and micro-contact surfaces, has been developed. Using the fractal descriptors of the grains contact surface, the microstructure reconstruction constituents, as grains and pores shapes or intergranular contacts, has been successfully done. Obtained results indicated that fractal analysis contact surfaces descriptors of different shapes are very important for the prognosis of BaTiO3-ceramics microstructure and capacity and dielectric properties. The morphology of ceramics grains pointed out the validity of developing new structure analytical methods, based on different grains' shape geometries. The grains contact structure based on Minkowski hull is presented as a new tool for BaTiO3-ceramics materials structure research. The materials properties prognosis are determined according to the correlations synthesis-structure-property, within Minkowski hull fractal frame.
PB  - Taylor & Francis Ltd, Abingdon
T2  - Ferroelectrics
T1  - Electronic ceramics fractal microstructure analysis-Minkowski Hull and grain boundaries
EP  - 194
IS  - 1
SP  - 184
VL  - 545
DO  - 10.1080/00150193.2019.1621704
ER  - 

@article{
author = "Mitić, Vojislav V. and Lazović, Goran and Paunović, Vesna and Veljković, Sandra and Randjelović, Branislav M. and Vlahović, Branislav and Fecht, Hans",
year = "2019",
abstract = "Consolidation parameters have influence and can be used to control structure of BaTiO3 based materials. Microstructure and dielectric properties of Yb2O3 doped BaTiO3-ceramics, sintered from 1320 degrees C to 1380 degrees C have been investigated. The correlation between microstructure, capacity and dielectric properties of doped BaTiO3-ceramics, based on fractal geometry and micro-contact surfaces, has been developed. Using the fractal descriptors of the grains contact surface, the microstructure reconstruction constituents, as grains and pores shapes or intergranular contacts, has been successfully done. Obtained results indicated that fractal analysis contact surfaces descriptors of different shapes are very important for the prognosis of BaTiO3-ceramics microstructure and capacity and dielectric properties. The morphology of ceramics grains pointed out the validity of developing new structure analytical methods, based on different grains' shape geometries. The grains contact structure based on Minkowski hull is presented as a new tool for BaTiO3-ceramics materials structure research. The materials properties prognosis are determined according to the correlations synthesis-structure-property, within Minkowski hull fractal frame.",
publisher = "Taylor & Francis Ltd, Abingdon",
journal = "Ferroelectrics",
title = "Electronic ceramics fractal microstructure analysis-Minkowski Hull and grain boundaries",
pages = "194-184",
number = "1",
volume = "545",
doi = "10.1080/00150193.2019.1621704"
}

Mitić, V. V., Lazović, G., Paunović, V., Veljković, S., Randjelović, B. M., Vlahović, B.,& Fecht, H.. (2019). Electronic ceramics fractal microstructure analysis-Minkowski Hull and grain boundaries. in Ferroelectrics
Taylor & Francis Ltd, Abingdon., 545(1), 184-194.
https://doi.org/10.1080/00150193.2019.1621704

Mitić VV, Lazović G, Paunović V, Veljković S, Randjelović BM, Vlahović B, Fecht H. Electronic ceramics fractal microstructure analysis-Minkowski Hull and grain boundaries. in Ferroelectrics. 2019;545(1):184-194.
doi:10.1080/00150193.2019.1621704 .

Mitić, Vojislav V., Lazović, Goran, Paunović, Vesna, Veljković, Sandra, Randjelović, Branislav M., Vlahović, Branislav, Fecht, Hans, "Electronic ceramics fractal microstructure analysis-Minkowski Hull and grain boundaries" in Ferroelectrics, 545, no. 1 (2019):184-194,
https://doi.org/10.1080/00150193.2019.1621704 . .

TY  - JOUR
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Paunović, Vesna
AU  - Cvetković, Nenad
AU  - Jovanović, Dejan
AU  - Veljković, Sandra
AU  - Randjelović, Branislav M.
AU  - Vlahović, Branislav
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3123
AB  - The world's perennial need for energy and microelectronic miniaturization brings with it a broad set of technological and scientific challenges. Materials characterized by precise microstructural architectures based on fractal analysis and ranging in size down to nano scale represent an important avenue for finding novel solutions. Deep materials structure hierarchies of this type open new possibilities in capacity according to the Heywang model, especially when extended by a fractals approach and intergranular relationships supported and recognized by their fractal nature. These developments are opening new frontiers in microelectronics miniaturization. They build on early fractal applications that were used as tools in miniaturization research and also provided application perspectives for diverse energy technologies. In other words, fractals, as a crucial concept of modem theoretical-experimental physics and materials sciences, are tightly linked to higher integration processes and microelectronics miniaturization. They also hold potential for meeting the energy exploitation challenge. In this research context, for the first time we experimentally and theoretically investigated the electrostatic field between the grains within fractal nature aspects. It is essentially a theoretical experiment based on samples of experimental microstructures imaged with SEM, as previously published in a number of other papers. We now take the research a step further by consolidating the experimental samples with respect to the predicted distribution of grains and pores within the sample mass. We make an original contribution by opening the frame of scale sizes with respect to the technical processes of consolidation. This lets us predict the constitutive elements of the microstructures - approximately equidistant grains and pores. In this paper we define in a practical manner the final target elements for experimental consolidation of real samples. It is the main bridge between a designed microstructure and related characteristics - for example, fractal dimensions and final properties of next-generation fractal microelectronics.
PB  - Elsevier Sci Ltd, Oxford
T2  - Ceramics International
T1  - Fractal frontiers in microelectronic ceramic materials
EP  - 9685
IS  - 7
SP  - 9679
VL  - 45
DO  - 10.1016/j.ceramint.2019.01.020
ER  - 

@article{
author = "Mitić, Vojislav V. and Lazović, Goran and Paunović, Vesna and Cvetković, Nenad and Jovanović, Dejan and Veljković, Sandra and Randjelović, Branislav M. and Vlahović, Branislav",
year = "2019",
abstract = "The world's perennial need for energy and microelectronic miniaturization brings with it a broad set of technological and scientific challenges. Materials characterized by precise microstructural architectures based on fractal analysis and ranging in size down to nano scale represent an important avenue for finding novel solutions. Deep materials structure hierarchies of this type open new possibilities in capacity according to the Heywang model, especially when extended by a fractals approach and intergranular relationships supported and recognized by their fractal nature. These developments are opening new frontiers in microelectronics miniaturization. They build on early fractal applications that were used as tools in miniaturization research and also provided application perspectives for diverse energy technologies. In other words, fractals, as a crucial concept of modem theoretical-experimental physics and materials sciences, are tightly linked to higher integration processes and microelectronics miniaturization. They also hold potential for meeting the energy exploitation challenge. In this research context, for the first time we experimentally and theoretically investigated the electrostatic field between the grains within fractal nature aspects. It is essentially a theoretical experiment based on samples of experimental microstructures imaged with SEM, as previously published in a number of other papers. We now take the research a step further by consolidating the experimental samples with respect to the predicted distribution of grains and pores within the sample mass. We make an original contribution by opening the frame of scale sizes with respect to the technical processes of consolidation. This lets us predict the constitutive elements of the microstructures - approximately equidistant grains and pores. In this paper we define in a practical manner the final target elements for experimental consolidation of real samples. It is the main bridge between a designed microstructure and related characteristics - for example, fractal dimensions and final properties of next-generation fractal microelectronics.",
publisher = "Elsevier Sci Ltd, Oxford",
journal = "Ceramics International",
title = "Fractal frontiers in microelectronic ceramic materials",
pages = "9685-9679",
number = "7",
volume = "45",
doi = "10.1016/j.ceramint.2019.01.020"
}

Mitić, V. V., Lazović, G., Paunović, V., Cvetković, N., Jovanović, D., Veljković, S., Randjelović, B. M.,& Vlahović, B.. (2019). Fractal frontiers in microelectronic ceramic materials. in Ceramics International
Elsevier Sci Ltd, Oxford., 45(7), 9679-9685.
https://doi.org/10.1016/j.ceramint.2019.01.020

Mitić VV, Lazović G, Paunović V, Cvetković N, Jovanović D, Veljković S, Randjelović BM, Vlahović B. Fractal frontiers in microelectronic ceramic materials. in Ceramics International. 2019;45(7):9679-9685.
doi:10.1016/j.ceramint.2019.01.020 .

Mitić, Vojislav V., Lazović, Goran, Paunović, Vesna, Cvetković, Nenad, Jovanović, Dejan, Veljković, Sandra, Randjelović, Branislav M., Vlahović, Branislav, "Fractal frontiers in microelectronic ceramic materials" in Ceramics International, 45, no. 7 (2019):9679-9685,
https://doi.org/10.1016/j.ceramint.2019.01.020 . .