A form of an anisotropic plastic layer compressed by parallel planes with anisotropic friction / I. A. Kiiko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 3. P. 40-49 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 51-60].

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.

№ 3/2015