Optimal heating speed for an unbounded plate, taking into account thermal stress constraints

Abstract

This paper examines the problem of optimal axisymmetric heating of an infinite plate, taking into account the resulting thermalstresses. The dependence of the ultimate strength and thermal conductivity on temperature is considered. A sequential linearization method is used to solve the resulting nonlinear problem. Based on the developed approach, an algorithm is proposed for selecting the optimal temperature regime in terms of response time, satisfying the imposed constraints. Example calculations are provided demonstrating the algorithm's effectiveness. The obtained results can be used in the development of high-temperature heating technologies. DOI: 10.33184/bulletin-bsu-2025.4.3