Indentation and residual stress in the axially symmetric elastoplastic contact problem

Most theoretical studies of mechanical indention, going back to Boussinesq, Hertz, and later Sneddon, address the relations between indenter pressure, indention size, and stress components.However, the relationship between indention and residual stress is also interesting.Here we use the Dorris and Nemat-Nasser method to derive a relation between the indention and the residual stress components for an axisymmetric load.