Planar flow of a three-layer plastic material through a converging wedge-shaped channel. Part 1 – Analytical solution

Flow of a three-layer strip consisting of two different materials through an infinite converging channel is studied. Each material is assumed to be incompressible, rigid perfectly plastic. It is shown that the structure of the solution strongly depends on the ratio of the yield stresses and the friction factors, namely the problem may have the unique solution, multiple solutions, and may have no solution. This makes a significant difference between the new solution and other known solutions to the problem of flow through infinite channels.