Plastic Tension of Strip with Asymmetrical Conditions in the Area of Grips

The process of free spreading of a relatively thin plastic layer on a plane, enclosed between the converging surfaces of external bodies, is investigated. A nonlinear parabolic differential equation describing the law of variation of the domain boundary is analyzed; various forms of representation of this equation are written out. Exact solutions are obtained for the initial boundary value problem of spreading of a plastic layer, initially bounded by a convex curve of a given type. It is confirmed that in the limiting case, the domain occupied by the plastic layer tends to a circle.