Nonlocal theory of the high-strain-rate processes instructured media

A new nonlocal hydrodynamic approach to describe structured media is developed[ According to this approach the nonlocal and spin properties of a medium are closely correlated[ The concrete kind and scale of the medium structure resulting from the strain process are de_ned by the initial and boundary conditions in a nonunique way due to the branching of solutions to the nonlinear problem[ As a consequence\ in the same medium localization of the strain process can be realized either in the form of shear banding or rotational motion[ As a test task the well!known Rayleigh problem on nonsteady motion of a plate in viscous media is solved to show that the degree of nonlocality is proportional to acceleration of the plate[ The solution obtained is then used to explain experimental results on shock!induced shear bands and vortex structures in metals[