stress, displacement, elasticity, plasticity, viscosity, dilatancy, axisymmetric state.

Based on the rheological models of complex media of an elastoviscoplastic dilating and incompressible elastoviscoplastic, as well as a classical incompressible ideally plastic medium, the stress-strain state of a spherical body is determined under constant external and dynamic internal loads. The axisymmetric state of the body is studied. Displacement and stress fields in elastic and plastic regions are determined.

Sporykhin Anatoliy Nikolaevich, Dr. Sci. Phys. and Math.,Professor of the Department of Mechanics and Computer Modeling, Voronezh State University, Voronezh, Russia.

Shcheglova Yuliya Dmitrievna, Candidate Sci. Phys. and Math., Ass. Professor of the Department of Mechanics and Computer Modeling, Voronezh State University, Voronezh, Russia.