structural orthotropy, deformation anisotropy, thermoelasticity, unrelated problem, cylindrical shell.

The objects of the considered studies were a special case of shell structures, namely, the shell of rotation – a closed circular cylindrical one, since such structures are very often found in the design and construction of industrial and civil facilities, as well as in the energy sector. A special feature of the design of the studied shells is the materials, which have anisotropy of a twofold nature. The structural anisotropy of the material of the orthotropy level is considered in conjunction with the deformation one, which appears depending on the stiffness and strength properties of the type of stress state. The shell is loaded with internal pressure, which is reduced to a uniformly distributed axisymmetric load. In addition, when setting the problem of construction mechanics, it is taken into account that specific structures are operated not in an ideal stationary isolated space, but in an environment with changing temperature parameters. At the same time, the probability of a temperature difference between the inner loaded surface of the shell and the outer surface – free from force action-is taken into account. It is known that in the general case, the temperature and force fields are interrelated, and the temperature distribution in the material of the structure depends on the stress state, but as numerous studies have shown, the connectivity of the thermomechanical problem is noticeable only in the short initial period of temperature change before the occurrence of a steady drop. Therefore, in the present article, the problem of thermal force loading of a cylindrical shell is considered in an unrelated formulation, when the general problem can be divided into two independent ones: structural mechanics and thermodynamics. Given that the classical theories of thermomechanics of shells made of materials with anisotropy of a twofold nature do not allow us to obtain sufficiently reliable results, and most of the known models designed for these materials have serious drawbacks, the method of normalized tensor stress space is used here. The article presents a system of differential equations for the problem of thermoelasticity of a cylindrical shell made of materials with complicated thermomechanical properties. Separate solutions with the most characteristic results of calculating the stress-strain state of the shell and their analysis are presented.

Zavyalova Yulia Andreevna,

Post-graduate student, Tula State University, Tula, Russia.

Lapshina Maria Alexandrovna,

Post-graduate student, Tula State University, Tula, Russia.

Treschev Alexander Anatolyevich,

Doctor of Technical Sciences, Professor, Head of the Department "Construction, Building materials and structures Tula State University, Tula, Russia.