ON A NEW MATHEMATICAL FORMULATION OF THE CONTACT BOUNDARY VALUE PROBLEM OF PLASTIC FLOW IN A THIN LAYER

Two-dimensional mathematical formulation averaged over the thickness of the layer for the contact boundary value problem of the spreading of a plastic layer on the plane is considered in the article. An approximate analytical solution to the problem of spreading between approaching rigid plates of a thin plastic layer is obtained. This solution is in good agreement with the experimental results far from the free boundary and the central part of the sample.