Abstract
In this paper, a method of analytical studies of heat-resistant alloys under conditions of their unsteady thermal conductivity is proposed. Such problems arise when designing structural elements that are exposed to prolonged exposure to high temperature during operation, the value of which varies over time. This has recently become particularly relevant in connection with the achievements made in the nuclear industry and thermal power plants operating with steam turbine installations. To study the above processes, the paper considers a mathematical model of a rod of finite length. This became the basis for the creation in the future of a program in the programming language, with the help of which it is possible to construct the corresponding fields of temperature distribution, all the components of deformation, stress and displacement in the form of graphs. The obtained models make it possible to take into account internal heat sources in the core elements of the structure under conditions of non-stationary thermal conductivity.