Anisotropy in the flow processes of a thin plastic layer

The theory of the flow of a thin layer of plastic material over surfaces developed by Il'yushin is extended to the case of an anisotropic ideally plastic material and anisotropic flow on the surface. Particular attention is given to determining the contact pressure. Two methods are proposed for solving this problem: a variational method and reduction to a Cauchy problem. The effect of anisotropy is revealed using specific examples.