Rolling of a rigid cylinder over a strip with initial stresses

An asymmetric quasistationary problem for a strip with initial stresses is formulated and solved. Resolving differential equations are derived and then reduced to five functional equations by the Hankel integral transform. Two of these equations are reduced to the Fredholm integral equations of the second kind, which are solved by the method of degenerated kernels. The normal and tangential stresses are plotted versus the elongation.