Partial slip between contacting cylinders under transverse and axial shear

The interfacial stick-slip system present between two infinitely long cylinders, pressed together by a normal force, is considered. The shearing traction distribution is represented in a piecewise-linear sense, using overlapping triangles of shear, which may have both transverse and axial components. Several external force histories are modelled, starting off with a monotonically increasing transverse force (the Cattaneo–Mindlin problem). Subsequently, an axial force is applied, again within the partial slip regime, and finally a complete closed cycle of transverse and axial forces is studied. The stick-slip regime and distribution of shearing traction is displayed at several points within the cycle, and it is shown that a steady state is almost achieved within one cycle of loading.