The contact stress problem for indented strips and slabs under conditions of partial slipping

The numerical method developed in a previous article is used to solve additional and more difficult contact problems. The first problem concerns a rigid, axially-loaded, flat-ended, two-dimensional indenter compressing an elastic strip which is supported on a rigid foundation. If Coulomb's law of friction is assumed to hold between the normal and shearing stresses, the central portion of the contacting surfaces will adhere to one another, whereas the outer surfaces slide over one another. Graphs are obtained of the ratios of adherence length to contact length versus friction coefficient. Similar graphs are also obtained for the corresponding problem of an axially-loaded, flat-ended cylindrical indenter compressing a slab. Contact pressure distributions are then obtained for two rigid, flat-ended, two-dimensional indenters compressing a strip, and sliding in opposite directions on the strip. Finally, a method is outlined for solving the intermediate problem where the tangential force is sufficient to cause complete slipping of the contact surfaces.