Creep and stress relaxation in the material of a cylindrical layer under it linear motion

In the framework of large deformation theory, we consider the defomation of a material with nonlinear elactic and viscous properties in the space between two rigid coaxial cylindrical surfaces when the internal surface moves rectilinearly. We study the uniformly accelerated motion of the internal cylinder, its subsequent motions at a constant speed, and the subsequent uniformly retarded motion to a stop. We calculate the stresses, the reversible and irreversible deformations, the displacements and study the stress relaxation after the complete stop of the cylinder.