Lyashenko V. Mathmetical modeling of thermodiffusion processes inpowder metallurgy

The object of research is the thermal diffusion processes in powder metallurgy that occur during major operations: compaction, sintering, thermal, thermal cycling, electroplastic process of moving and stationary products from powder and other materials under the influence of internal and external continuously or periodically operating heat sources. Theoretical and practical results: the work was created and developed a new scientific direction is in development, synthesis and development of theoretical basis of mathematical and computer modeling of thermal diffusion in powder metallurgy. Completed research allowed to reduce time and money costs during the design process, development of design and technological documentation and equipment. Scientific novelty: from a single conceptual point of view new mathematical models are developed of thermodiffusion processes as initial boundary value, non-local and problem with nonlocal integral conditions, constant and variable thermal properties in moving and stationary field with constant current and periodic internal and external heat sources; thermodiffusion process mathematical models are constructed on the basis of boundary value problems for equations of parabolic type with conjugation and impedance type conditions describing the processes of sintering and annealing products of circular and rectangular cross section; mathematical model of temperature distribution in a nonlinear initial boundary value problems with nonlinear boundary conditions depending on the coordinates and time and describe the thermal processes in roller sizes during rotary forging, elektro-plastic and thermocyclic process of moving and stationary products are constructed.