Abstract
The developed mathematical model of thermoelasticity and the depth of the surface layer during the frictional treatment of the working surfaces of machine parts with a tool with a discontinuous working part are presented. Friction treatment refers to surface hardening methods using highly concentrated energy sources. A highly concentrated energy source occurs in the tool-contact area during a high-speed metal disk on the treated surface. It is represented by the initial-boundary problem of thermoelasticity formulated in terms of elastic displacements and temperature change. Afterward, the appropriate variational problem is formulated, and the numerical scheme for its solution is constructed. This numerical scheme uses finite element semi-discretization in space and a one-step recurrent time integration scheme. We present numerical results for one-dimensional modeling of dynamical interaction of the heat and mechanical fields in steel workpieces, generated by a periodic sequence of pressure and heat flux impulses.
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Gurey, V., Shynkarenko, H., Kuzio, I. (2021). Mathematical Model of the Thermoelasticity of the Surface Layer of Parts During Discontinuous Friction Treatment. In: Ivanov, V., Pavlenko, I., Liaposhchenko, O., Machado, J., Edl, M. (eds) Advances in Design, Simulation and Manufacturing IV. DSMIE 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-77823-1_2
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