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Corundum-baddeleyit material (CBM) – EUCOR – is a ceramic material, which is a heat- and wear-resistant even at extreme temperatures. A numerical model of the solidification and cooling of this material – which was cast into a non-metal form – had been applied. The model is capable of determining the total solidification time of the casting and also the place of the casting which solidifies last. Furthermore, it is possible to calculate the temperature gradient in any point and time. The local solidification time is one of the input parameters for the cooperating model of chemical heterogeneity which is applied next. This second model and its application provide detailed quantitative information on the material structure and make it possible to analyse the solidification process which entails statistical processing of the results of the measurements of the chemical heterogeneity of EUCOR and performs the correlation of individual components during solidification. The crystallisation process seems to be very complicated, where the macro- and microscopic segregations differ significantly. The verification of both numerical models was conducted on a real 350 x 200 x 400 mm cast block. If the heterogeneity of EUCOR does not exceed the pre-defined limits, its tendency to crack is considerably reduced.