R&D registration number in UkrISTEI: 0120U102051
Which priority area of science and technology corresponds to: fundamental scientific research on the most important problems of developing scientific, technical, socio-economic, socio-political, human potential to ensure the competitiveness of Ukraine in the world and the sustainable development of society and the state; The most important fundamental problems of physical, mathematical and technical sciences
Research: fundamental
Funding source: state budget (general fund of the state budget)
Amount of financing: UAH 609,333 thousand.
Starting year of the study: 2020
The total duration of the study (according to the plan): 2020-2022.
The prospect of further execution in 2022 – 2023: to be continued as a fundamental
Research level: no analogues in Ukraine
Availability of a patent: Patent of Ukraine under No. 124071 “Method for determining the propagation velocity of ultrasound in elastic media”.
Additional actions requiring further research: additional funding and modern scientific equipment
Brief description, advantages, further prospects for application. The proposed modeling method based on structural units, based on the potential of interatomic interaction using modern empirical data obtained from dynamic studies of specific samples of the studied substances, allows solving existing problems and developing mathematical models of deformation and heating processes of solid crystalline bodies, as well as characteristics. The main results consist in the development of mathematical models of the physical processes of deformation and thermal expansion occurring in solids with a microstructure. More advanced mathematical models of heat transfer and deformation processes are proposed, which make it possible to numerically investigate the relationship between macro- and microlevel characteristics and physical parameters of solid crystalline bodies during deformation and heating, both in statics and in dynamics. The developed theoretical-experimental research methods make it possible to study the distribution and mean-integral value of the modified interatomic interaction potential in the volume of a structural unit and up to the entire sample, depending on the computational capabilities, to refine the characteristics of physical constants characterizing the interaction potentials, the volume energy of the lattice. units of matter, its distribution depending on the stage of the deformation process.
In particular, on the basis of the method of structural units, more advanced (compared to existing) mathematical models of heat transfer and deformation processes have been developed, which make it possible to quantitatively investigate the relationship between macro- and microlevel characteristics and the physical parameters of crystalline solids during deformation. or heating, both statically and dynamically.