Abstract
Based on reference thermodynamic data, a four - component titanium - zirconium - aluminum-silicon (Ti-Zr-Al-Si) system is constructed and its mathematical model of the phase structure is created. As a result, it was determined that it consists of 12 elementary tetrahedra. For each of the tetrahedra, analytical equations are defined, with the help of which it is possible to determine the location in the factor space of the general system of compositions of various metal melts with the calculation of their standard phase compositions. The sum of the relative volumes of elementary tetrahedra is equal to one (1.00000), which confirms the correctness of the tetrahedron. Quasi-volumes in the Ti-Zr-Al-Si system are established, which simulate the compositions of the metal products formed during the smelting of various ferrosilicocyrconium alloys during the reduction process . As a result, it turned out that the TsK-20 alloy is modeled by the TiAl3-Al-Zr5Si3-ZrAl3 tetrahedron, and the compositions of the FSTsr-45 alloy are decomposed in the TiAl3-Zr3Al2-TiAl - Zr5Si3 tetrahedron, respectively.