A simulation of the behavior of nonporous single-crystal magnesium oxide under conditions of heat loading that approach the operating conditions of casting ladles in ferrous metallurgy is performed by means of mathematical methods. Both numerical and analytic methods are used for the calculations. The temperature and mechanical stress fields and such breakdown parameters of materials as the moment of appearance of cracks, the thermal stability criterion (breakdown temperature drop of surface of material), etc. were determined as a result of the calculations. Results of calculations are presented and an analysis of the application of mathematical methods to the simulation of different heat treatment regimes of a material is performed.
The thermal fields of the refractory linings of metallurgical equipment are investigated. Using as an example the lining of a steel-teeming ladle, mathematical modeling of the thermal fields in preliminary heating of the ladle and during smelting is performed. An approach to the construction of thermal fields, assuming the presence of defects in the lining and in the case of intersecting thermal fields, is proposed.
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