On the question of residual stress distribution in surface-hardened parts

The influence of the distribution of initial deformations presented in the form of algebraic functions on the diagram of residual axial stresses in the cross-section of a part is studied. Smooth solid steel parts with a diameter of 10 mm and parts of the same diameter with a stress concentrator in the form of a semicircular notch with a radius of 0.3 mm are considered. Finite element models are implemented in the ANSYS software environment in an axisymmetric formulation. Residual stresses are modeled using the thermoelasticity method with the initial deformations specified in the form of a corresponding temperature field. It is found that for all considered diagrams of axial residual stresses in the cross-section of the part, the condition of static equilibrium is satisfied. It is noted that in smooth parts, the diagram of axial compressive residual stresses is more complete compared to parts with a stress concentrator. Based on the conducted research, it was concluded that when modeling residual stresses in a part, it is sufficient to specify the diagram of initial deformations in the hardened layer. The diagram of the distribution of axial residual stresses is self-balanced without introducing corrections for the depth of occurrence of residual stresses.