Non-isothermal mechanodiffusion model of the initial stage of penetration of particle flow in a target surface
DOI:
https://doi.org/10.7242/1999-6691/2019.12.1.4Keywords:
surface treatment, coupled model, particle flow, wave propagation, nonlinear effects, elastic stress, diffusion, heat conduction, relaxation of heat flux, relaxation of mass fluxAbstract
The paper presents a coupled mathematical model of the initial stage of particle penetration in the metal surface in non-isothermal approximation. It is assumed that, at the moment of collision with a target, the particles have enough energy to generate mechanical disturbances, which affect the redistribution of the implanted material. The simplified one-dimensional model includes the heat conduction equation, the equation of implanted component balance and the equation of motion. The governing relations correspond to the theory of generalized thermoelastic diffusion. The model takes into account the finiteness of relaxation times of heat and mass fluxes and the interaction of waves of different physical nature - impurity concentration, stresses (strain) and temperature. The non-dimensioning of the equation system and the problem solving method are described in detail. The problem was solved numerically using the double sweep method. The paper presents examples of coupled problem solving for the system of materials - Mo(Ni). The processes of penetration and redistribution of the impurity on the target surface are considered at time moments smaller/longer than the relative relaxation times of heat and mass fluxes. It is shown that the interaction of waves of different physical nature leads to temperature and concentration distributions, which do not comply with the classical Fourier and Fick laws. The obtained results demonstrated distortions in deformation and temperature waves which are indicative of the interaction between the processes under consideration.
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