Surface modification of the composite have the feature, associating with the difference of the physical processes, running in the hard inclusions, in the matrix and on the interface. The experimental examinations indicate that at the impulse electron-beam treatment of the composite on the base of the TiC with NiCr- binder the non-equilibrium structurally phase state develop in the surface layer, supporting the change of the physical- mechanical properties of the surface layer. The kinetic regularities of the structurally non-equilibrium state formation in the surface layer of the metal-ceramic alloy during electron-beem treatment are determined by the parameters of the external action, the properties of the inclusions and matrix, and also of the character of the contact between them. The detailed experimental investigation of the non-equilibrium processes in the surface layers meets with the technical troubles. Therefore, the mathematic simulation plays the important role at the analysis of the non-equilibrium processes. The objective of present work consist in the computational investigation of the mathematical model of the surface modification of the composite. The model of the non-equilibrium surface layer formation during the electron-beam modification of the composite is suggested in this work. The features of the transport processes in the matrix and inclusions, and the interface character also are taken into consideration. The dynamics of particles solution action of in the matrix have been studied, the estimation of thermal stresses during electron-beem treatment have been carried out. For the first approximation, we use the known problems of thermoelasticity, including the exact analytical solutions for the estimation of thermal stresses for the material in different particular cases. It was shown that the character of the diffusion zone formation varies near by the vicinity of the particles, located on the different distance from the surface under treated.

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