Abstract
The stress state of a cylindrical object that is exposed to heat is represented in the work. The method of estimating the stress state of a cylindrical rod arising due to a temperature difference along its radius is shown. Based on the numerical solution of the one-dimensional heat conduction problem for a cylindrical object, the equation for the change in relative deformation, which makes it possible to calculate the stresses arising in a thermally deformed cylinder, has been developed. Using the Lame – Gadolin problem, the radial and circumferential stresses are determined. The deformation resistance of steel 170ХНМ in various temperature conditions, from which it follows that when the sample is heated, the nature of the fracture changes from brittle to plastic,is considered. The verification of stresses in an object according to various strength hypotheses is shown. The obtained mathematical apparatus allows to estimate the strength of a cylindrical rod at temperature differences along the radius of the object.
Keywords
Thermal stress state, cylindrical object, radial coordinates, main stresses, strength hypotheses, heat treatment, critical stresses.