The mathematical modeling of high-speed impact of plates based on the continual gauge theory of defects with dissipation of energy

A mathematical model of elastoplastic deformation of continuous and porous materials is developed on the base of the gauge theory of defects. The problem of high-speed impact of plates is solved numerically and the stage of material prefracture is studied by means of the model proposed. It is discovered that the whirls of a material arise under the effect of dislocation caused microstresses, the whirls significantly increase at the expense of softening caused by pores. Distribution of pores in material is inhomogeneous, the characteristic inhomogeneity scale coincides with the characteristic scale of dislocation structure. The results obtained are in agreement with the experimentally observed effect of material microrotations formation under conditions of pre-fracture.