Abstract
The paper presents the results of experimental and theoretical work leading to mathematical modelling of phenomena accompanying the deformation of steel which is still subjected to the last phase of the solidification process. Physical simulations of deformation at such extra high temperature performed with the aid of advanced testing machines (for example GLEEBLE 3800 simulator) are very expensive and extremely difficult due to simultaneous deformation and solidification of the metal and its very unstable behaviour. Application of dedicated computer simulation system with inverse method makes tests possible and results in lowering testing cost. The Authors present such a program taking into consideration the density changes and analytical form of the incompressibility condition. The primary aim of the simulation was the reconstruction of the temperature, strain and stress changes inside steel samples subjected to both deformation and final stage of solidification. The presented program enables the right interpretation of very high temperature testing.