The article considers the phase diagram of the four-component metallic system Cr-Fe-Al-Si obtained using the method of thermodynamic-diagram analysis (TDA). This method, developed at the Zh. Abishev Chemical Institute, allows analyzing complex multicomponent systems without extensive and labor-intensive thermodynamic calculations, which is especially important when designing new alloys with predetermined properties. A phase diagram of the Cr-Fe-Al-Si system is constructed, which is graphically represented as a tetrahedron with four three-component faces (Fe-Al-Si, Fe-Si-Cr, Si-Al-Cr and Fe-Al-Cr). As a result of the calculations, 24 elementary tetrahedra were identified, for which relative volumes were determined and coefficients of the transformation equations were calculated using the Heath method. The sum of the relative volumes of the tetrahedra is close to unity (0.9978), which confirms the correctness of the partitioning of the system.

Using the example of a complex alloy of aluminosilicon chrome (Cr-25; Fe-20; Al-15; Si-40), the phase composition was calculated, it was shown that this alloy is modeled by tetrahedron No. 13 (CrSi2–Si–FeSi2–FeAl3). The obtained data allow us to describe the phase distribution in the studied alloy: 51.9% CrSi2, 3.4% Si, 19.2% FeSi2 and 25.3% FeAl3. The results of the study demonstrate that the TDA method is an effective tool for predicting the phase state of metal systems and optimizing the composition of the charge to increase the productivity of smelting units and the quality of finished products. The constructed diagrams can serve as a basis for further experimental studies and the development of new technologies for smelting aluminosilicon chrome and other complex alloys.

SHABANOV YE.ZH.

PhD, associate professor, professor of the department of metallurgy and mining, Aktobe Regional University named after K. Zhubanov, Aktobe, Kazakhstan.

E-mail: yshabanov@zhubanov.edu.kz, https://orcid.org/0000-0001-6902-1211

KHISMATULIN D.O.

Master's student, Aktobe Regional University named after K. Zhubanov, Aktobe, Kazakhstan.

E-mail: daniil.h@bk.ru, https://orcid.org/0009-0007-9698-3476

ZHUMAGALIYEV YE.U.

Candidate of technical sciences, associate professor, professor department of metallurgy and mining, Aktobe Regional University named after K. Zhubanov, Aktobe, Kazakhstan.

E-mail: yzhumagaliyev@zhubanov.edu.kz, https://orcid.org/0000-0003-2227-0661

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Cr-Fe-Al-Si system, phase diagram, thermodynamic diagram analysis (TDA), aluminosilicochrome, tetrahedral model, transformation coefficients, phase composition, mathematical modeling