In this paper, further research is conducted for a synergetic model that describes the state of the material surface in the process of laser irradiation. Namely, the previously studied approach of mutually coordinated behavior of the relaxation field, concentration of relaxation zones, and field of stress is supplemented with a nonlinear term. It is shown that, using this model, we can describe the behavior of different types of systems. During the analysis, five stationary states were found which correspond to different modes of formation of relaxation areas on the surface. The regions of parameters are found at which one or another mode of the system behavior is established. Phase portraits are constructed for each mode and the kinetics of the system is described. The obtained results qualitatively coincide with the experimental data.
structural and phase composition of the coating material, deformation processes in the coating and emerging stresses under the influence of temperature flow in the contact area. The thermodynamic influence on the physical and mechanical characteristics of the coating was studied by the phase plane method through analytical research and construction of phase portraits by numerical integration of the corresponding system of differential equations using the Runge-Kutta algorithm. An analysis of Lyapunov indices for special points of the system was carried out, conclusions were drawn regarding the characteristics of the behavior of the 'dynamic stress-strain' system for tool surfaces with and without coating.
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