Steel products are widely used in industry due to their strength, wear resistance, reliability and durability. The variety of steel alloys and the low cost of iron ore give steel its advantage.
To improve the properties of steel, it is subjected to alloying and heat treatment. Heat treatment includes heating, aging and cooling, which allows obtaining the required microstructure and properties. The variety of alloys makes heat treatment an individual process that requires analysis of temperature regimes, methods of heating and cooling, and exposure time.
Heat treatment parameters are determined by the content of carbon and alloying elements in the alloy, which affect refractoriness, brittleness and other characteristics. The properties of steel depend on the microstructure and phase composition, so it is important to understand the processes that occur during heating and cooling. Special attention is paid to the structure of the crystal lattice, which determines the mechanical properties of the alloy.
The purpose of the research is to find theories that accurately describe phase transformations in metals when the temperature changes. Identified discrepancies between theoretical models and experimental data emphasize the need for further research to develop adequate theories.
Existing theories do not take into account all the factors affecting phase transformations, such as microstructural features, cooling or heating rates, and the influence of impurities. It is necessary to create models that take these factors into account and provide more accurate results. New experimental techniques are needed for model verification. Cooperation between theorists and experimenters is the key to understanding phase transformations in metals and alloys.
The development of new theories and the improvement of existing approaches are important for the accurate description of phase transformations, which will contribute to the creation of new materials with improved properties. The development of theories that accurately describe the experimental results of phase transformations is an important task for modern science.
Phase transformations, such as martensitic, significantly affect the properties of materials, so their accurate modeling is of great importance. Existing discrepancies between theoretical models and experimental data regarding martensitic transformations indicate that existing theories do not take into account all aspects of these processes. Problems with the description of the problem with a moving boundary of crystallization also point to the need to develop adequate approaches.
The object of research is the processes of crystallization in solid bodies when the temperature changes, such as the nucleation and growth of crystals, the influence of temperature gradients, and the interaction between phases. These are fundamental processes for understanding the behavior of materials.
The subject of the research is a model that describes the processes of crystallization in solid bodies when the temperature changes. The model should take into account the dynamics of phase transitions, microstructural changes and the influence of various factors on the final structure of the material. The model should predict the properties of materials after crystallization and help in the optimization of technological processes.
The collector developed an analytical model of direct martensitic transformations, which takes into account the probability of spontaneous transition of induced particles. The model provided agreement with the experimental results for high and low temperatures.
The acquirer proposed a modified condition for Stefan's problem, derived from the equation for the change in phase concentration in a two-phase system. Comparison of the theoretical approach to Stefan's problem with experimental data confirmed the validity of the method, which allows for more accurate modeling of phase transformation processes in crystalline media.
Developed models and new theoretical approaches are important for science and technology. They contribute to a deeper understanding of processes in crystalline materials during phase transformations and open up new opportunities for the development of materials with improved properties. Such materials can be used in metallurgy, mechanical engineering, aviation and space industry, microelectronics and other industries. Modeling martensitic transformations in carbon steels is important for understanding their properties and improving the quality of materials.
Mathematical modeling of phase transitions helps solve tasks in technological, medical and natural sciences, facilitating the understanding, optimization and prediction of processes. This contributes to the development of innovative technologies and new materials important for progress in various fields of industry and science.
