Abstract:
A nonlinear evolution equation, which determines the form of a thin plastic layer compressed by rigid parallel planes, is derived. The material of the layer and the contact friction are anisotropic. The similarity solutions and the classes of self-similar solutions are obtained. The large-time asymptotics is discussed. The instability problem is considered for the process of spreading a strip.
Key words:flow in a thin layer, nonlinear evolution equation, similarity solution, asymptotics.
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