Knyazeva, Anna Georgievna

Parfenova, Elena Sergeevna

English

Electronic archive of Tomsk Polytechnic University

102 Impurity concentration, 103 102 102 Deformation, 103 Temperature, 103 THE MECHANODIFFUSION MODEL OF THE INITIAL STAGE OF PARTICLES FLOW INTRODUCTION PROCESS IN A TARGET SURFACE* ELENA S. PARFENOVA1, ANNA G. KNYAZEVA1,2 1Institute of Strength Physics and Materials Science SB RAS, 2/4, pr. Akademicheskii, Tomsk, 634055, Russia, Linasergg@mail.ru 2 National Research Tomsk Polytechnic University, School of Advanced Manufacturing Technologies, 30, Lenin Avenue, Tomsk, 634050, Russia  The paper presents a coupled mathematical model of the initial stage of particles penetration in the metal surface in non-isothermal approximation. It is assumed that the implanted material there is sufficient energy to generate mechanical disturbances into target surface at the interaction moment. And mechanical disturbances effect on the redistribution of diffusion of implanted particles.  The simplified one-dimensional model includes the heat conduction equation (1), equation of implanted component balance (2) and the motion equation (3):  xtTtTCqT J             (1) xtСJ               (2)   22ut x                  (3) The govering relations correspond to the theory of generalized thermoelastic diffusion: DCD BC tx x t       JJ              (4)     qq T qTtx t   JJ              (5)    0 0TE T T C C                     (6) 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 problem was solved numerically with using the double sweep method. The Fig.1 presents examples of coupled problem solving for materials system - Mo(Ni).    It is shown that the interaction of waves of different physical nature leads to the distribution of temperature and concentration do not correspond to the classical ideas (Fourier and Fick laws). The work demonstrated the distortions in the deformation and temperature waves which are the result of the interaction of the studied processes.                                                      * This work was performed within the frame of the Fundamental Research Program of the State Academies of Sciences for 2013-2020, line of research III.23. 0 2 4 6 80,00,20,4654Концентрация внедряемой примеси , С*103Глубина,  0 4 8 12 16 20 24 280,00,30,6Деформации, е*103Глубина, 654 0 4 8 12 16 20 24 280,00,10,20,30,4Температура, *103Глубина, 654 Fig. 1. The examples of coupled problem solution for materials system - Mo(Ni). Time moments,  : 1 – 0,06, 2 – 0,09, 3 – 0,13 1 2 3 1 2 3 3 2 1 68

The mechanodiffusion model of the initial stage of particles flow introduction process in a target surface

http://earchive.tpu.ru/bitstream/11683/57772/1/conference_tpu-2019-C108_p68.pdf

The mechanodiffusion model of the initial stage of particles flow introduction process in a target surface

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