Conditions of the formation of regular systems of shear and compaction bands

The variation principle was applied to the bifurcated deformation of an inelastic body to clear up under what conditions a regular system of shear and compaction bands can form. It has been established that a regular system of bands where plastic deformations are localized should form most likely in materials with a distinct yield point. Internal friction and dilatancy promoting the development of instability of the material in the regime of strain-hardening contribute much to this phenomenon.