stress, strain, elastoplastic torsion, anisotropy according to Hill, kinematic anisotropy.

The present work is devoted to the problem of elastoplastic torsion of the thick-walled non-circular cross-section shaft. It is considered as an anisotropic material that in particular cases is in the kinematic properties of the anisotropy and anisotropy according to Hill. With using perturbation method, stress-strain state and elastoplastic boundary at first approximate is defined.

Kovalev Alexey Victorovich

e-mail: kav-mail@mail.ru,  Dr.  Sci.  Phys.  &  Math.,  Professor,  Head  of  the  Department  of Mechanics and Computer Simulation, Voronezh State University, Voronezh, Russia.

Scheglova Julia Dmitrievna

e-mail: scheglova@gmail.com, Candidate of Phys. & Math., Ass. Professor of the Department of Mechanics and Computer Simulation, Voronezh State University, Voronezh, Russia.

Sviridov Ilya Eduardovich

e-mail: synettt@gmail.com, Post Graduate Student, Department of Mechanics and Computer Simulation, Voronezh State University, Voronezh, Russia.