An Educational Elasticity Problem With Friction, Part 1: Loading, and Unloading for Weak Friction

The paper treats an elasticity problem with friction that can be solved in closed form. It involves an unbounded solid with a semi-infinite cut. The solid is compressed in a direction perpendicular to the cut, but the cut is induced to separate and slip locally by applying a concentrated force at the tip of the cut. The first part deals with the initial loading phase and includes unloading for weak friction.