## MODELING OF TEMPERATURE DEPENDENCIES TO DETERMINE THE CONTENT OF SOLUBLE ELEMENTS IN THE BASIS OF DISPERSIONLY-HARDENING ALLOYS

Mathematical Modeling, Vol. 3 (2019), Issue 2, pg(s) 63-65

The possibility of assessing of the temperature stability of the hardening phases of dispersion-hardened alloys with the help of polytherms of electrical resistance is experimentally confirmed. For alloys compositions of which belong to the quasi-binary Cu – Ni2Si cross section of the state diagram of the Cu – Ni – Si system, a procedure has been developed for calculating of the content of elements dissolved in the phase, based on copper, using data on temperature dependences of the electrical resistivity on temperature, presented in the form of regression equations. In the future, it is possible to use the developed model to assess the temperature stability of dispersed phases in alloys of more complex systems (for example, such as Cu – (Ni – Si) – (Fe – Cr – C)).

• ## Mathematical models of calculations of parameters of crystallization of binary alloys by means of computer thermal analysis

Mathematical Modeling, Vol. 2 (2018), Issue 3, pg(s) 99-101

Mathematical models of crystallization of binary metal alloys crystallizing in the temperature range are proposed. These models are intended for use in the composition of quality control systems for cast alloys based on computer thermal analysis. The proposed models make it possible to calculate the time dependences of the relative amounts of the solid and liquid phases using the data of the cooling curve, as well as to determine the intensity of the increase of the amount of the solid phase. The method of determining the temperature dependences of the specific heat and latent crystallization heat using the data on the temperature-concentration dependences of the free energies of the phases forming the system under study was used.

• ## CALCULATION OF TEMPERATURE DEPENDENCES OF THERMAL EFFECTS AT COOLING OF METAL ALLOYS

Machines. Technologies. Materials., Vol. 12 (2018), Issue 9, pg(s) 374-377

A method is proposed for determining the temperature dependences of thermal effects (the amount of heat released when the temperature changes) based on data on the temperature-concentration dependences of the free energies of the phases of metallic systems. These dependences are necessary for modeling of the processes of crystallization of alloys. They make it possible to obtain temperature dependences of the dimensions of the thermal effects without introducing the results of measurements of direct calorimetry. The peculiarity of calculating of the temperature dependences of thermal effects upon cooling of binary metal systems from the liquid state to room temperature (including crystallization) is shown using the example of the alloy of the system Pb-Sn.

## COMPUTER SYSTEM FOR PREDICTING THE STRUCTURE AND PROPERTIES OF CAST METAL PRODUCTS

Mathematical Modeling, Vol. 1 (2017), Issue 4, pg(s) 180-183

The basic principles of functioning of subsystems of the information-technological complex, which is intended for the forecast of structure and properties of the cast metal, are presented. The basis of subsystems are mathematical and simulation models of crystallization. The subsystem of thermal analysis is based on mathematical models, which were developed within the framework of the dynamic theory of metallic castings The subsystem of modeling of crystallization is based on a combination of mathematical models of heat conduction and diffusion with cellular automata. The model makes it possible to investigate in computational experiment the effect of various cooling conditions on the process of formation of the structure during crystallization. The results of computer experiment are shown.