Numerical analysis of initial stage of thermal shock

The paper studies a problem of a thermal shock at the surface of a half-space, which properties are described by elastic-plastic model taking into account dynamic effects, heat inertia, coupling between thermal and mechanical fields. The problem is solved numerically using finite-difference method of S. K. Godunov

Mathematical modelling of thermal and kinetic phenomena in electron-beam technologies

The article presents a scheme for constructing models using kinetic laws for additional parameters. The work describes the example of the model of electro-beam treatment of a material with a coating. The study uses the simple kinetic law for powder layer evolution due to shrinkage. The model takes into account the melting of powder layer and substrate. The numerical solution gives the temperature field, evolution of the molten pool, the heat affected zone and the surface relief for different moments of time. The results depend on the treatment rate and electron beam energy