elasticity, plasticity, viscosity, large deformations, visco-plastic flow

The exact solution of the classical problem of Poiseuille of rectilinear movement of the environment on cylindrical tube is provides. It is believed that the environment has elastic, viscous and plastic properties, so the solution is constructed in the framework of the model of large elasto-plastic deformations taking into account the viscous properties of the medium with its plastic flow. In the conditions of adhesion on the boundary surface, set the time and place the origin of the flow, the peculiarities of its development with the growth of the pressure drop is calculated parameters of plastic flow and stress States with subsequent constant pressure drop and braking flow at reducing the effects of pressure drop, including a full stop. Specify the patterns promotion of elasto-plastic boundaries and elastic deformed kernel depending on the nature of the change of the differential pressure.

1. Kovtanyuk, Larisa Valentinovna Dr. Sci. Phys. & Math., chair. lab. mechanics of irreversible deformation of the Institute of automation and control processes, Feb RAS, Vladivostok

2. Matveenko, Valeriy Pavlovich Academician, Head of Institute of continuous media mechanics, Ural branch RAS, Perm

3. Burenin, Anatoily Aleksandrovich Corresponding member of the RAS, Dr. Sci. Phys. & Math., Professor, Director of the Institute of machinary and metallurgy, Feb RAS, Komsomolsk-on-Amur