Fractal Approach to the Analysis of Ceramic Surfaces

Kanygina, O. N.; Chetverikova, A. G.; Filyak, M. M.; Ogerchuk, A. A.

doi:10.1007/s10717-016-9807-x

Cited by 9 publications

(7 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The correlation between the wavelet and the point profile in its vicinity is determined by the color of the corresponding region of the wavelet spectrogram [16]: white is the maximum and dark blue is the minimum of coincidences. The presence of repeating similar elements -blue arches with green borders -confirmed the selfsimilarity and fractal properties of surface morphology established earlier in the article [15]. For the initial sample (Fig.…”

Section: Influence Of the External Environment On Structural Changes supporting

confidence: 84%

“…where s is the standard deviation of the unit image elements of the sample in grid cells of a given size e; μ is the average value of the unit image elements of a sample in cells of a specified size e. Lacunarity, as the fractal dimension, is determined from the slope of the regression line in the coordinates lne=f(lnΛ). As it was shown earlier [15], variations in the values of fractal dimensions for powders, consisting of clay minerals particles, make it possible to control changes in the specific surface area of systems, and to establish the formation of self-ordered structures. The wavelet transform of an arbitrary function z(x) was defined as an integral transformation of the form:…”

Section: Methodsmentioning

confidence: 86%

See 1 more Smart Citation

Evolution of phase morphology in dispersed clay systems under the microwave irradiation

2018

Self Cite

View full text Add to dashboard Cite

The results of a study of the microwave emission effect (power 700 W, frequency 2.45 GHz) on the structural changes in natural clay particles with effective diameters D≤630 μm are presented. The influence of the irradiation time (10 and 20 min) and the environment in the microwave chamber (atmospheric air and air saturated with water vapor) on the structural changes occurring in the particles were traced. During the first 10 min, capillary water was completely removed and agglomeration was carried out by attaching single dispersed particles (diffusion limited aggregation model). At the second stage (10-20 min), the already formed agglomerates grew (cluster-cluster aggregation model). A complex of independent optical-physical methods was used to analyze weak structural changes, including X-ray diffraction analysis, colorimetry and wavelet analysis. This approach increased the information content and reliability of measurements, quantitatively characterizing the structural responses in disperse clay systems. In the air, the removal of capillary water was accompanied by agglomerations of particles and polymorphic transformations of oxides: montmorillonite was completely decomposed and amorphous phases, in particular CaCO3, crystallized. The composition of the environment in the microwave chamber affected the type of phase transformations in iron compounds: iron-aluminum silicate (Fe2Al4Si5O18) was formed in the air; magnetite Fe.Fe2O4 (Fe3O4) appeared in the water vapor medium. The carried-out studies with the developed set of experimental methods indicated the possibility of regulating the processes of structure formation in dispersed clay systems by optimizing the regimes of exposure to microwave radiation.

show abstract

Section: Influence Of the External Environment On Structural Changes supporting

confidence: 84%

Section: Methodsmentioning

confidence: 86%

Evolution of phase morphology in dispersed clay systems under the microwave irradiation

2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…5). The selected ceramic grain's contour transfers into analytic form applying fractal interpolation procedure introduced by Barnsley [33,34]. After perimeter point sample acquisition, the fractal interpolation is applied.…”

Section: Methodsmentioning

confidence: 99%

“…This is a characterization method innovation that enables connection between ceramic microstructures and fractal analyses methods towards the fractal simulator development. The fractal nature gives much more natural approximation to real physical structures then classic Euclidian geometry [34]. The fractals are not just geometric elements.…”

Section: Methodsmentioning

confidence: 99%

The fractal nature approach in ceramics materials and discrete field simulation

et al. 2018

View full text Add to dashboard Cite

In this paper, we present experimental data of static fractals and compare the results with theoretical analysis obtained using dynamic particle simulation. The fractal simulator presented in this manuscript is pioneer work and it is the base of the future concrete and industrial applications. We have examined sintered ceramic samples formed using several different additives, as fabricated using various parameters, sintering temperature and time. SEM analyses were performed on samples as a part of the experimental characterization procedure. Based on microstructures, sets of points have been selected as a primary database input for the theoretical-experimental simulation to model the processes that describe the experiment. For all grain and pore analyses, the fractal nature is recognized as a matter of substantial influence on material characteristics. All of our experimental and theoreticalexperimental procedures are based on the construct that reconstruction of the grain and pore fractal nature is of enormous importance for microstructure property prognoses. The method presented here can be used to simplify and simulate, in real time, the interaction of a few thousand electrically charged particles possessing different masses through formulations based on Maxwell's electromagnetic equations. Particles in simulation interact with alternating (or static) electromagnetic fields and with static ceramics surface at the same time. All values are treated numerically. The fractal simulator consists of two components, a structure fractal generator, and field simulator. The functions for particle motion can be implemented and changed within the program in real time. The algorithm is written in the Delphi programming environment. The main result of this paper describes a quite new approach in the analysis of material microstructure properties towards programmingprognoses of the final properties of ceramic materials using the fractal nature within the fractal field simulator that generates structures, grains, and pores. The new simulator algorithm is developed as the important tool for the realization of the much ambitious project-simulation and realization of the Tesla's Fountain in ceramics. The concrete results will follow with this project realization in near future.

show abstract

“…The surface microstructure of ceramics has fractal characteristics. Using MF spectrum function and generalized Renyi spectrum to analyze the surface microstructure of ceramic materials, we can judge the homogeneity of surface structure and its formation conditions [ 58 ].…”

Section: Properties and Fractal Analysis Of Metals And Ceramicsmentioning

confidence: 99%

Review about the Application of Fractal Theory in the Research of Packaging Materials

Duan

Mao

et al. 2021

Materials

View full text Add to dashboard Cite

The work is intended to summarize the recent progress in the work of fractal theory in packaging material to provide important insights into applied research on fractal in packaging materials. The fractal analysis methods employed for inorganic materials such as metal alloys and ceramics, polymers, and their composites are reviewed from the aspects of fractal feature extraction and fractal dimension calculation methods. Through the fractal dimension of packaging materials and the fractal in their preparation process, the relationship between the fractal characteristic parameters and the properties of packaging materials is discussed. The fractal analysis method can qualitatively and quantitatively characterize the fractal characteristics, microstructure, and properties of a large number of various types of packaging materials. The method of using fractal theory to probe the preparation and properties of packaging materials is universal; the relationship between the properties of packaging materials and fractal dimension will be a critical trend of fractal theory in the research on properties of packaging materials.

show abstract

Fractal Approach to the Analysis of Ceramic Surfaces

Cited by 9 publications

References 1 publication

Evolution of phase morphology in dispersed clay systems under the microwave irradiation

Evolution of phase morphology in dispersed clay systems under the microwave irradiation

The fractal nature approach in ceramics materials and discrete field simulation

Review about the Application of Fractal Theory in the Research of Packaging Materials

Contact Info

Product

Resources

About