thermally stressed state, contact problem, coaxial cylindrical systems, layered composite materials.

Temperature stresses in conjugate systems made of different materials and in layered structural materials, even under the condition of uniform temperature distribution, are primarily a consequence of the different mechanical properties of the materials from which the conjugate elements or layers are made. At the same time, the coupling properties of dissimilar materials and the type of joint obtained have a significant impact on the overall picture of temperature stresses: gluing, welding, or hot fit; ideal contact, free or partial slippage in different directions. The condition and method of joint deformation of coaxial cylinders under different conditions of coupling along the lateral surfaces with inhomogeneous thermomechanical characteristics, taking into account the constrained movement along the generatrix for different qualitative conditions of interaction at the interface, are proposed. The method makes it possible to significantly simplify the problem under the condition of thermoelastic deformation of the layer, and in the case of viscoelastic behavior with simple relaxation nuclei, it allows to obtain an analytical solution. The practical significance of the method lies in the possibility of modeling technological and residual stresses in layered structural cylindrical systems operating under conditions of cyclic heating and cooling to high temperatures.

Zaiko Nadezhda Yurevna, senior lecturer of the Polytechnic Institute of the Far Eastern Federal University, Vladivostok, Russia.

Lubimova Olga Nikolaevna, Dr. Sci. Phys. and Math.,Professor of the Polytechnic Institute of the Far Eastern Federal University, Vladivostok, Russia.