An Exact Solution for Instantaneous Axisymmetric Flow of Polymers

The main objective of the present paper is to study, by means of a problem permitting a semi-analytic solution, the qualitative behaviour of solution for a model that is used for describing deformation of incompressible polymers near frictional interfaces. It is assumed that the regime of sticking occurs at the friction interfaces. The constitutive equations of the model are a pressure - dependent yield criterion and a flow rule. Such features of the solutions as non-existence and singularity are emphasized