On the Solvability of the Steady-State Rolling Problem.

In this paper a steady-state rolling problem with nonlinear friction, for rigid-plastic, rate sensitive and slightly compressible materials is considered. Its variational formulation is given and existence and uniqueness results, obtained with the help of successive iteration methods are presented. Considering the slight material compressibility as a method of penalisation, it is further shown, that when the compressibility parameter tends to zero the solution of the rolling problem for incompressible materials is approached. [ABSTRACT FROM AUTHOR]