thermoelasticity, viscoplasticity, shock waves, finite deformations, ray method.

The main points witch should be paid attention of modeling the response of thermoelastic incompressible medium with viscoplastic properties to the essentially unsteady effect are shown by the example of several problems on loading elastoviscoplastic and thermoelastic cylindrical layers with preliminary deformations. Some remarks were noted regarding to the use of the relations of the theory of finite elastoplastic deformations, the ray series method application and special numerical calculation schemes. The dependencies of temperature and additional pressure breaks on plane-polarized strong discontinuities surfaces, loading and circular polarized waves velocities are determined.

Shtuka, Viktor Igorevich Docent, Department of Math and Modeling, Vladivostok State University of Economics and service, Vladivostok, Russia.