A TECHNIQUE FOR SOLVING PHASE TRANSITION KINETICS EQUATIONS

V. A. Bychenkov, N. S. Zhilyaeva, G. V. Kovalenko, I. I. Kuznetsova, A. V. Petrovtsev, A. T. Sapozhnikov, N. D. Strinadkina, L. V. Khardina
VANT. Ser.: Mat. Mod. Fiz. Proc 2006. Вып.3. С. 18-27.

Phase transition kinetics simulations are carried out on the assumption that mixture components are in mechanical and temperature equilibrium. A material under strain may undergo several phase transitions at once. Thermodynamic parameters of the mixture components are determined based on the solution of linearized equations for the components’ pressure and temperature increments with the mixture’s known specific volume and energy increments. An efficient algorithm for solving these equations based on the explicit Lagrange difference scheme accounting for the pressure and temperature difference is proposed. The technique has been implemented in the 2D SPRUT code. The paper presents the results of ID and 2D test calculations with the () transition in iron and without such transition.

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