A method for solving phase transition equations

The kinetics of phase transitions is calculated on the assumption of mechanical and temperature equilibrium between mixture components. The simulation of kinetics is based on solving relaxation-type kinetic equations. The deviator components of the constituents of a mixture of phases are assumed to be equal. When a material is deformed, several phase transitions can occur simultaneously. The determination of the thermodynamic parameters of mixture components is based on solving linearized equations for component pressure and temperature increments at known specific volume and mixture energy increments. We suggest an effective algorithm for solving these equations. The algorithm is based on an explicit Lagrangian difference scheme and takes into account pressure and temperature discrepancies. The algorithm is implemented in the SPRUT two-dimensional program. We present the results of calculations for one-and two-dimensional problems with and without taking into account the α-? transition in iron.