Mathematical model of surface layer formation during hydroabrasive jet machining

The article discusses the formation of the surface layer in hydroabrasive jet machining. We propose a mathematical model of surface microrelief formation under the influence of abrasive particles on the work surface. A single act of contact interaction of an abrasive particle with the surface is the basis of the model. The microrelief of the work surface is presented in the form of isotropic functions. We regard contact interaction of abrasive particles with the surface as the intrusion of a rigid sphere in a plastic half-space. We developed an algorithm and software package for the implementation of surface modeling. The article presents the results of calculations of surface roughness on the basis of the proposed model, as well as the results of experimental studies of roughness with the use of full-scale specimens made of a VT9 titanium alloy and a ЖС6Ф heat-resistant alloy. The model makes it possible to select the necessary technological process parameters to provide the desired surface roughness.