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This work concerns the numerical modeling of heat transfer and phase transformations in solid state occurring during the Yb:YAG laser beam heating process. The temperature field is obtained by the numerical solution into transient heat transfer equation with convective term. The laser beam heat source model is developed using the Kriging interpolation method with experimental measurements of Yb:YAG laser beam profile taken into account. Phase transformations are calculated on the basis of Johnson - Mehl - Avrami (JMA) and Koistinen - Marburger (KM) kinetics models as well as continuous heating transformation (CHT) and continuous cooling transformation (CCT) diagrams for S355 steel. On the basis of developed numerical algorithms 3D computer simulations are performed in order to predict temperature history and phase transformations in Yb:YAG laser heating process. [ABSTRACT FROM AUTHOR]

This paper describes modelling of the processes of steel C80U hardening. The first priority was given to thermal phenomena, phase transformations in solid state and mechanical phenomena. The issue of heat conductivity was based on the equation of transient heat conductivity with unit source. Numerical algorithms for kinetics of phase transformations and evaluation of fractions of phases were built on the diagrams of continuous heating and cooling of tool steel. The theoretical model of phase transformations was then verified by experiments. In modelling of mechanical phenomena, the equilibrium equations and constitutive relations were adopted in the rate form. Plastic strains are determined by the theory of non-isothermal plastic flow associated with the Huber-Misses condition. The model assumed isotropic and kinematics strengthening and besides elastic, thermal, structural, plastic strains and transformations plasticity were included. Thermophysical properties including the Young's modulus, tangent modulus and yield strength were directly dependent on temperature and material phase composition. The issues of thermo-elastic-plastic were solved using the finite element method. Implemented algorithms were applied in computer stimulation of hardening of non-alloy tool steel. Numerical analysis of thermal effects and phase transformations, i.e. stress and strains in mechanical phenomena in a tool steel material undergoing hardening was made. [ABSTRACT FROM AUTHOR]