Azerbaijan Technical University (Baku, Azerbaijan)

A. T. Mammadov, Dr. Eng., Prof., Advisor of the Dept. “Metallurgy and Materials Technology”, ariff-1947@mail.ru
S. N. Namazov, Dr. Eng., Prof., Dept. “Metallurgy and Materials Technology”, subhan.namazov@aztu.edu.az
A. I. Babayev, Cand. Eng., Prof., Dept. “Metallurgy and Materials Technology”, aqil.babayev@aztu.edu.az
A. A. Jafarova, Cand. Eng., Associate Prof., Dept. “Chemical Technology, Processing and Ecology”, afetceferova8@gmail.com
S. M. Rustamova, Cand. Eng., Senior Lecturer, Dept. “Chemical Technology, Processing and Ecology”, sevilrustemova70@mail.ru
A. M. Yariyeva, Cand. Eng., Senior Lecturer, Assistant, Dept. “Chemical Technology, Processing and Ecology”, yariyevaaynure@aztu.edu.az

The features of deformation of a powder medium consisting of plastic (iron) and elastic (cast iron) particles are considered. To solve the problem of deformation of such a system, the model of continuum mechanics is taken as a basis, although after compaction of the powder mixture it consists of a matrix and pores, which is called a powder or porous medium. In this case, to apply the continuum principle, the space region is divided into small subregions corresponding to the sizes of powder particles. It is assumed that the material is isotropic and for this case the invariants of the stress tensor and deviator are written. In this case, the loading surface is convex, closed, or has a rib-type feature, or can be smooth. In the latter case, deformation of the iron-cast iron powder system occurs on the edge of a piecewise smooth surface. At the same time, the work considers the schemes of an axisymmetric problem in cylindrical coordinates and obtains a group of equilibrium and continuity equations in the Euler representation. The relationships of the associated strain rate law are related to stresses, and they are solved for a smooth surface and a piecewise smooth surface. The models were obtained for the case of a pressing scheme in which there is mutual movement of the matrix and the internal rod of the matrix. Based on this, the displacement of the upper punch and die was determined. For such movement of mold elements, specific properties of the kinematic field were obtained. The contribution of tangential friction of iron and cast iron powders on the matrix wall has been clarified. This mathematical problem allows you to control the technological processes of cold pressing of an elastically plastic medium of a mixture of iron and cast iron powders. At the same time, for a blank such as a sleeve, the requirement to ensure the required porosity and dimensions is solved, and it also becomes possible to determine the required pressing force, punch stroke and distribution of residual porosity.

This work was carried out with the financial support of the Science Foundation of Azerbaijan – Grant No. AEFMGC-2024-2 (50)-16/01/1-M-01.

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