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The integrated casting and rolling technologies are newest and very efficient ways of hot strip production. Among them are the ISP (Inline Strip Production) and AST (Arvedi Steel Technologies) processes that are characterized by very high temperature allowed at the mill entry. The instant rolling of slabs which leave the casting machine allows the utilization of the heat stored in the strips during inline casting. The region of maximum strip temperature for a high reduction mill is placed in the strip centre and varies from 1220 °C to 1375 °C depending on the casting speed. The mathematical and experimental modelling of mushy steel deformation is an innovative topic regarding the very high temperature range deformation processes. This paper focuses on the axial-symmetrical computer model, which ensures the possibility of its experimental verification with the help of physical simulation. The results showed that computer aided testing of steel samples deformation at coexistence liquid and solid phase requires resolving a number of problems. One of them is the difficulty in determination of material thermal and mechanical properties, such as: coefficients of heat transfer and other thermal properties, diagrams of density changes, which is dependent on temperature, etc. The main problem is the interpretation of compression tests results leading to strain-stress curves. The presented model with incompressibility condition in analytical form allows the simulation of the deformation of material with mushy zone avoiding volume loss, which cause problems with density. The presented Def_Semi_Solid program is a unique tool, which can be very helpful and may enable the right interpretation of results of very high temperature tests. The paper shows its predictive ability regarding: temperature, shape and size of the deformation zone. The focus of attention were mechanical properties of investigated steel and specific character of theoretical model applied to the analysis. One can observe that the compression tests interpretation was possible only due to application of right model and implementation of the inverse analysis.