The fractal nature approach in ceramics materials and discrete field simulation

Abstract

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.

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

“…When the crack length is identical but the fractal dimension is larger, the fracture energy absorbed by the crack is greater [60]. Vukovic et al [61] described a new method for analyzing the microstructure properties of materials, which was used to predict the final properties of ceramics by fractal specialty programming in a fractal field simulator generating structure, grains, and pores. In conclusion, ceramics are brittle and easy to be damaged in the process of storage and transportation.…”

Universal microprocessor controlled power regulator with and without additional power supply

“…After the modelling and simulation, the next step is to build the real construction of the model [16], [17]. Using current technology, it is easy to manufacture the basic structure using 3D printers.…”

Evolution of structural and functional properties of the Fe/BaTiO3 system guided by mechanochemical and thermal treatment

“…Transition metal doping is a good way to induce magnetism in otherwise non-magnetic barium titanate, with the incorporation of dopants into the BTO lattice largely determined by the ionic radii of the participants in the process [11]. Albeit comprehensively investigated over the years, BTO-based ceramics persist to inspire novel research approaches [12,13] remaining at the forefront of materials science.…”