TO THE QUESTION OF THE THERMOPHYSICAL PROCESSES INFLUENCE ON THE STRESSES AND DEFORMATIONS DISTRIBUTION IN A HOLLOW CYLINDER
The metals deformability problem without their destruction is of great importance due to the increased requirements for the quality of products and their operational durability. The deformation technology of some metals and alloys often has large reserves of plasticity. Their use, for example, drawing with increased deformations between annealing or cold rolling, will allow to obtain a significant effect. To determine the boundary of the metal transition from an elastic to a plastic state, it is useful to know the analytical dependencies that determine the components of stresses and deformations in an arbitrary section of the part. Within the framework of the continuum mechanics paradigm, the problem of determining the stresses arising in the sleeve of a hydraulic cylinder located in the zone of action of a stationary heat flow is solved for this purpose. A homogeneous ideally elastic body model is considered. Hooke's law is used to determine the relationship between stresses and elastic deformations. Stress components distribution graphs over the thickness of the entire sleeve are given. The nature of emerging stresses in the part is analyzed.