Distribution of the concentration of injected impurity under surface treatment by consecutive pulses

E. S. Parfenova

Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 62 (2019), pp. 105-118

Résumé

Surface treatment by particle flux is widely used for improving the operating properties of materials. At the instant of interaction between particles and target surface, various processes occur such as heating, phase formation, mixing, generation of the elastic waves of mechanical disturbances, etc. Experimental study of these processes separately is difficult. However, mathematical modeling allows one to study in detail the treatment process at any stage and to analyze the role of each occurring phenomenon separately. The paper presents a coupled mathematical model of the initial stage of particles' penetration into a metal surface under non-isothermal conditions. It is assumed that the injected particles possess sufficient energy to generate mechanical disturbances on the target surface at the instant of interaction. The model takes into account the finiteness of relaxation time for heat and mass fluxes and the interaction of the waves of different physical nature - distribution of mechanical disturbances and diffusion of injected material. The developed numerical algorithm is based on the implicit difference scheme. The examples of coupled problem solution are given for the cases of treatment by one and two pulses. The differences between resulting distributions are revealed. The work also demonstrates the distortions in the waves of deformation and temperature which represent the consequences of the interaction of studied processes.

Détail

Keywords: mathematical modeling, non-isothermal coupled model, stress, deformation, relaxation time, consecutive pulses.
Mots-clés : diffusion, particle flux