Slip zone length at the edge of a complete contact

In this paper we solve for the length of the slip zone emanating from the edge of a 90° semi-infinite contact which is nominally adhered to an elastically similar half-plane but has a small region of slip close to the edge. The solution is found using the monolithic three-quarter plane as the basic solution, which incorporates the adhered asymptotes as an ‘outer’ solution, and using a distribution of dislocations to quantify the region of slip, and also to define an inner slipping asymptote. The solution is applied to a finite square block pressed onto an elastically similar half-plane, and compared with a numerically obtained solution.