The modeling features of diffusion processes in elastic body under particles surface treatment

Isothermal dynamic model is suggested for the initial stage of the intermixing process in surface layer of material under surface treatment condition. He model takes into account the particle diffusion, the finite of mass flux relaxation time; the stress appearance due to composition change of surface layer and mass transfer phenomenon under stress gradient action. The choice of dimensionless variable and physical sense of obtained dimensionless complexes are described. The method of numerical realization of coupling model is selected on the base of the analysis of known particular equations and classical ways of their numerical solution. The features of difference schemes and qualitative distinctions of the diffusion, telegraph and wave equation solutions are demonstrated. The qualitative regularities are revealed in the concentration and elastic waves interrelating between each other. It is shown that the change of the qualitative strain distribution in elastic wave connects with the finiteness of the propagation velocity of the diffusion wave.