Slipline solution to asperity deformation under combined high normal pressure and subsurface deformation

Abstract

A new set of slipline fields, along with a corresponding calculation procedure, offers an analytical solution to the flattening of asperities under high normal pressure and subsurface deformation. This new solution integrates existing slipline fields for asperity flattening at high normal pressures with those related to indentation and provides a statically admissible transition to uniform subsurface deformation under plane strain conditions. The calculation procedure effectively manages the transition from one slipline field to another, accounting for increments in both the real contact area ratio and the longitudinal strain associated with subsurface deformation. The new solution is validated against numerical simulations.