Mechanical contacts in dry conditions are often characterized by an interfacial layer called ``third body'', which generally originates from the degradations of the surfaces, but which can exhibit strongly different material properties. This layer is a direct consequence of past wear, but also exerts a control on the rate at which surfaces in contact will keep getting worn. A comprehensive understanding of mechanical contacts therefore relies on a theory describing the interplay between this sheared layer and the moving surfaces which confine it. In this paper, we make a step towards such a theory by quantitatively investigating the link between the flow regime of the third body and the mechanical loading it applies to the surfaces. For that purpose, a previously developed local model of solid flow based on the Multibody Meshfree Approach is employed, in order to simulate characteristic flow regimes identified in experiments. Typical stress concentration patterns endured by the surfaces are then described and quantified, and a simple damage model is used to demonstrate how such a model could lead to wear prediction. We demonstrate that agglomerated flow regimes are prone to enhance large and deep damaging of surfaces, while granular third body flows have a more limited and shallow damaging effect.