Smoothed particle hydrodynamics method used for numerical simulation of impact between an aluminum particle and a titanium obstacle

A technique has been developed and a program has been created for numerical calculation by the smoothed particle hydrodynamics method of the process of deformation of an elastoplastic material in the axisymmetric case in the presence of contact boundaries and thermal conductivity of materials. With the help of this program, the problem of the collision of an aluminum particle with a titanium plate under conditions of cold gas-dynamic spraying is solved. It is shown that during a collision in the vicinity of the contact boundary between a particle obstacle, an aluminum particle is intensely heated up to temperatures of the order of 400$^\circ$C. The calculated temperature is much lower than the melting temperature of aluminum. An explanation is proposed for the mechanism of the formation of a chemical bond between an aluminum particle and a titanium plate under conditions of cold gas-dynamic spraying due to the formation of an intermetallic compound in a hot layer near the contact boundary due to self-propagating high-temperature synthesis.