Two semi-infinite strips brought into frictional contact, end-to-end, by a normal pressure are then subjected to a monotonically increasing or oscillating tangential force remote from the interface. The full stress tensor for the partial slip regime is found.
Kartal, M. E., Barber, J. R., Hills, D. A., & Nowell, D. (2011). Partial slip problem for two semi-infinite strips in contact. International Journal of Engineering Science, 49(2), 203-211. https://doi.org/10.1016/j.ijengsci.2010.11.007