The purpose of the research is electro-mechanical processing (EMP), which is based on the symbiosis of thermal and mechanical loads on the upper layer of the part during its surface strengthening. Powerful current flows through the contact point at low voltage, raising the temperature at the point of interaction to 600–900 ℃ and more. The simulation was carried out in the Ansys Static Structural and Coupled Field with the original boundary conditions that are the subject of scientific novelty, together with the designed mathematical stress prediction algorithm. The suggested multifactor EMP model (load, temperature, experiment time, convection, etc.) is promising for developing optimal surface-strengthening technologies. Two cases of mechanical pressuring with the tribocontact of curved surfaces were considered: rolling a shaft at 22 ℃ (surface plastic deformation – SPD) and modeling the contact spot body with the finite elements of 0.05 mm size under 900 ℃ (EMP). In the 1st case, despite the slight difference in vertical rod movement (0.143 mm for 4000 N and 0.119 mm for 1000 N), which signals plastic deformations, the magnitude of max stress varies considerably: 521.79 vs 130.56 MPa. In the 2nd case, being 10 times less loaded (400 N) but heated up to 900°С, the model has demonstrated twice the stress – 1082.9 MPa. The formation of the so-called “white” layer at a depth of about 0.2 mm was observed.