About the regularities of propagation of shift deformations in incompressible nonlinear-elastic media

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   The relationship between stress and strain is nonlinear for the
   overwhelming majority of natural and structural materials. This fact is
   most evident in intensive dynamic deformation of solids and is expressed
   in the appearance of surfaces of strong breaks - shock waves. In general,
   the processes of change in the shape and volume are interdependent, and
   breaks strains are combined. In the paper the results of a study of ways
   to propagation of shear deformations in the nonlinear elastic media, which
   does not allow the volume change, are presented. In the case of flat
   surfaces of breaks the conditions of occurrence of the two types of shear
   shock waves (wave of shear load and circularly polarized wave) are
   indicated, their velocities are calculated, the regularities of changes in
   the parameters of stress-strain state in the transition of the wave
   surface are described.